Cambridge Secondary Checkpoint
Mathematics (1112) Past Papers
Part1: 2022-2015
Update till October 2022
Table of Contents
2022 April Paper 1
1
2022 April Paper 2
17
2022 October Paper 1
32
2022 October Paper 2
49
2021 April Paper 1
65
2021 April Paper 2
81
2021 October Paper 1
96
2021 October Paper 2
111
2020 April Paper 1
129
2020 April Paper 2
145
2020 October Paper 1
160
2020 October Paper 2
176
2019 April Paper 1
192
2019 April Paper 2
212
2019 October Paper 1
228
2019 October Paper 2
240
2018 April Paper 1
259
2018 April Paper 2
275
2018 October Paper 1
294
2018 October Paper 2
310
2017 April Paper 1
345
2017 April Paper 2
340
2017 October Paper 1
355
2017 October Paper 2
370
2016 April Paper 1
386
2016 April Paper 2
406
2016 October Paper 1
421
2016 October Paper 2
437
2015 October Paper 1
457
2015 October Paper 2
471
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Cambridge Lower Secondary Checkpoint
*2912725807*
MATHEMATICS
1112/01
Paper 1
April 2022
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You are not allowed to use a calculator.
INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages. Any blank pages are indicated.
IB22 05_1112_01/6RP
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2
1
(a) Complete the table of values for y = 2x + 3
x
0
y
3
1
2
3
4
7
[1]
(b) Draw the graph of y = 2x + 3
y
12
11
10
9
8
7
6
5
4
3
2
1
0
1
2
3
4
5
6 x
[2]
2
Chen has three pieces of metal.
The masses are 6 kg, 3.3 kg and 0.75 kg.
Work out the total mass, in kilograms.
kg
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3
3
Write out 3 as a decimal.
5
[1]
4
The diagram shows a straight line crossing two parallel lines.
There are no right angles in the diagram.
NOT TO
SCALE
BC
A
D
F G
EH
Tick ( ) to show if each of these statements are true or false.
True
False
Angle A is the same size as angle E.
Angle C is the same size as angle H.
Angle A and angle F are alternate angles.
[1]
5
Work out the value of
49 + 6 2
[1]
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4
6
Complete these fraction calculations.
(a)
2
1
–
=
3
4
12
[1]
(b)
8
+
5
19
=
24
12
[1]
(c)
2
+
1
=
13
20
[1]
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5
7
Samira is measuring the capacity of a fish tank.
Draw a ring around the most suitable unit for this measurement.
mm³
m³
l
ml
[1]
8
The table shows some statistics for the number of words per page in two different books.
Mean
Range
Book A
19.2
8
Book B
18.6
11
Complete the sentences using two words from the list.
A
Book
B
means
has a more consistent number of words per page.
We know this from comparing the
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9
Angelique has 12 sweets.
Mia has 3 more sweets than Angelique.
Oliver has 5 less sweets than Mia.
Find how many sweets they have altogether.
[1]
10
a = 3b – c
Find the value of a when b = 11 and c = 4
a =
[1]
11 Here is a sequence of numbers.
80, 40, 20, 10…
Find the term-to-term rule for this sequence.
[1]
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12 Triangle B is drawn on the grid.
y
6
5
4
3
2
1
–6
–5
–4
–3
–2
–1
0
–1
1
2
3
4
5
6
x
–2
B
–3
–4
–5
–6
–7
–8
–9
Triangle A is translated 3 right and 5 down to give triangle B.
Draw and label triangle A on the grid.
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13 Simplify these expressions.
9x + 2y − 4x − 8y
3 + 2(5x − 6)
[3]
14 Mike throws an ordinary 6-sided dice and spins a coin at the same time.
One possible outcome is a 4 and a tail.
Work out the total number of possible outcomes.
[1]
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9
15 A group of people each complete two puzzles, A and B.
The time taken for each person to complete the puzzles is recorded.
The results are shown on the graphs.
The scales on each graph are the same.
Number
of people
Number
of people
0
0
Time taken to complete
puzzle A
Time taken to complete
puzzle B
Complete the sentence.
The graphs show that puzzle
is more difficult because
[1]
16 Write 31.4649
(a) correct to two decimal places,
[1]
(b) correct to one significant figure.
[1]
17 The area of a rectangle is 30 cm2.
Work out this area in mm2.
mm2
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18 A bag contains some counters.
Each counter is either red or green or yellow or blue.
A counter is taken from the bag at random.
The table shows the probabilities of taking a red counter, a green counter and a yellow
counter.
Colour
Red
Green
Yellow
Probability
0.25
0.5
0.15
Blue
Tick () to show if each of these statements is true, false or whether you cannot tell.
True
False
Cannot
tell
One quarter of the counters in the bag are red.
The bag contains 100 counters altogether.
The bag contains more blue counters than yellow.
t
[2]
19 Here is a five-digit number with one digit missing.
3__567
The five-digit number is a multiple of 9
Work out the missing digit.
[1]
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11
20 Here are the heights, h metres, of 15 students in Mia’s class.
1.56
1.49
1.05
1.75
1.63
1.47
1.25
1.16
1.45
1.29
1.40
1.02
1.67
1.72
1.93
Use the data to complete the group, tally and frequency columns in the table.
All group intervals must have equal width.
Group
1.00
1.80
<
h
≤
<
h
≤
<
h
≤
<
h
≤
<
h
≤
Tally
Frequency
1.20
2.00
[2]
21 Draw a line to match each calculation to the correct value.
74
70 × 72
73
70 × 70
72
76 ÷ 72
7
2
7 ×7
1
[2]
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22 The area of a piece of land is 4.5 hectares.
Convert 4.5 hectares into square metres.
m2 [1]
23 Solve these simultaneous equations.
5x + 2y = 26
10x – y = 37
Use an algebraic method to work out your answer.
x=
y=
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24 Calculate.
(a) 4.52 × 22
[2]
(b)
28 × 16 + 14 × 16
14
[2]
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25 Here is a number fact.
5478 × 64 = 350 592
Use this to work out
54.78 × 6.4
3505.92 ÷ 64
[2]
26 Naomi uses three lines to make a pattern by connecting dots on a grid.
The pattern has rotational symmetry but no line symmetry.
Use three lines to make a pattern with rotational symmetry and line symmetry.
[1]
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27 Work out.
72 × 105 × 10−6
[1]
28 The diagram shows a regular pentagon and a regular hexagon.
NOT TO
SCALE
E
A
B
C
D
A, B and E are vertices of the pentagon.
C, D and E are vertices of the hexagon.
ABCD is a straight line.
Calculate the size of angle BEC.
° [3]
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16
29 Yuri tries to convert some fractions to their simplest form.
Tick () to show if his answers are correct or incorrect.
Correct
Incorrect
16 = 2
48 6
14 = 1
56 7
17 = 1
68 4
[1]
30 52% of the students in a school are girls.
50% of the girls play a musical instrument.
25% of the boys play a musical instrument.
Work out the percentage of students in the whole school that play a musical instrument.
%
[2]
_________________________________________________________________________
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge
Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge.
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Cambridge Lower Secondary Checkpoint

MATHEMATICS
1112/02
Paper 2
April 2022
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You may use a calculator.
INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages. Any blank pages are indicated.
IB22 05_1112_02/6RP
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2
1
Here is a list of numbers.
5
7
10
12
16
20
Write down the number that is a factor of 56
[1]
2
Rajiv is thinking of three consecutive even numbers less than 20
The product of these three numbers is between 1000 and 2000
Find the three numbers Rajiv is thinking of.
,
3
and
[1]
(a) Work out 45% of $285
$
[1]
(b) Eva buys a book for $5
She sells it for $6.50
Work out the percentage profit.
%
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3
4
Here is a grid.
y
6
5
4
3
2
1
– 6 –5 – 4 –3 –2 –1 0
–1
1
2
3 4
5
6
x
–2
–3
–4
–5
–6
(a) A = (1, – 1), B = (– 5, – 2) and C = (– 3, 2)
Plot points A, B and C on the grid.
[1]
(b) ABCD is a parallelogram.
Find the coordinates of point D.
D=
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(
,
) [1]
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4
5
Write down the speed shown on the diagram.
60
80
100
40
120
20
140
km / h
160
0
6
km / h
[1]
metres per second
[2]
A road is 450 metres long.
(a) It takes a woman 5 minutes to walk along the road.
Work out the average speed of the woman.
Give your answer in metres per second.
(b) A bicycle travels along the road at an average speed of 5 metres per second.
Work out the time it takes the bicycle to travel along the road.
Give your answer in seconds.
seconds
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5
7
Mike buys 8 cakes for $11.60
Calculate the cost of 5 cakes.
$
8
[2]
Complete these sentences.
A cube has
faces.
A cylinder has
vertices.
[1]
9
Angelique goes on a train journey from Aba to Ditta.
Here is a section of the train timetable.
Aba
09:42
10:28
11:05
11:42
Burra
09:50
–
11:13
–
Cadez
10:16
–
11:39
–
Ditta
10:37
11:07
12:00
12:21
The afternoon journeys have the same duration as the morning journeys.
Angelique catches the 12:53 train from Aba.
The train does not stop at Burra or Cadez.
Work out the time Angelique arrives in Ditta.
[2]
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6
10 Write the letter of each shape in the correct position in the table.
A
B
C
D
One has been done for you.
Has at least one right angle
Has parallel sides
Has no right angles
D
Has no parallel sides
[1]
11 Find 3 32
[1]
12 Simplify.
(a)
7 3 1
− +
x x x
[1]
(b)
y m
+
x 2x
[2]
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7
13 Here are the spelling test results for the 25 students in Class A.
Score
4
5
6
7
8
9
10
Frequency
6
4
3
4
3
3
2
(a) Complete the table for Class A.
Class A
Mean
6.44
Mode
Median
Range
6
[2]
(b) Here is some information about Class B for the same test.
Class B
Mean
4.04
Mode
6
Median
4
Range
5
Draw a ring around the two best measures for comparing which class did better.
Mean
Mode
Median
Range
[1]
(c) Tick () the class that has the better results overall.
Class A
Class B
Explain your answer.
[1]
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8
14 One solution of the equation
x2 + 4x = 63
lies between 6 and 7
Use the method of trial and improvement to find this solution correct to 1 decimal place.
Show all your working in the table.
You may not need to use all the rows.
x
x2 + 4x
Too big or too small ?
6
60
Too small
7
77
Too big
x=
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15 Yuri has a large rectangular card measuring 1.2 m by 0.8 m.
He wants to cut it up to make small rectangular cards each measuring 13 cm by 11.5 cm.
Work out the largest number of cards that he can make.
[3]
16 These are the ratios of iron to other materials in metal A and metal B.
iron : other materials
Metal A
2 : 27
Metal B
5 : 56
Tick () the metal that contains the greater proportion of iron.
Metal A
Metal B
You must show your working.
[2]
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17 This frequency diagram shows the number of visits to the gym by 155 people in
September.
Number of people
0
10
30
20
40
1−5
6 − 10
Number
of visits
11 − 15
16 − 20
21 − 25
26 − 30
Work out how many people went to the gym more than 20 times.
Work out the class interval that contains the median number of visits.
[2]
18 Write decimal numbers in the spaces to make a true statement.
0.009
<
<
0.01
<
<
0.011
[2]
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11
19 The diagram shows shape A and shape B drawn on a grid.
y
6
5
4
A
3
B
2
1
–5
–4
–3
–2
–1
0
1
2
3
4
5
6
7
x
–1
–2
Describe fully the single transformation that transforms shape A to shape B.
[3]
20 Two points A and B have coordinates (–1, 4) and (3, 6).
Find the coordinates of the midpoint of AB.
(
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,
)
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21 This is a triangular prism.
2 cm
5 cm
3 cm
4 cm
NOT TO
SCALE
2 cm
This is a net of the prism.
It is drawn on centimetre square paper.
Work out the surface area of the prism.
cm2 [1]
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13
22 Here is a multiplication with a mixed number missing.
5
×
8
=
3
4
Work out the missing mixed number.
[1]
23 Lily has two bags.
Each bag contains four counters, as shown in the diagram.
1
1
2
3
3
1
2
3
She picks one counter from each bag and adds together the numbers on the counters.
Work out the probability that the total of her numbers is more than 3
You may find the table useful.
[2]
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14
24 The graph shows that the cost of electrical wire is proportional to the length of the wire.
c
20
15
Cost
(dollars)
10
5
0
0
1
2
3
4
5
6
7
Length (metres)
8
9
10
x
(a) Use the graph to find a formula for the cost, c dollars, of a length of wire, x metres.
c=
[2]
$
[1]
(b) Calculate the cost of 23.4 m of wire.
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25 Cube A has a volume of 125 cm3.
Cube B has a side length of 125 cm.
Cube C has a surface area of 125 cm2.
Write cubes A, B and C in order of size starting with the smallest.
[2]
smallest
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largest
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Cambridge Lower Secondary Checkpoint
*4311629126*
MATHEMATICS
1112/01
Paper 1
October 2022
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You are not allowed to use a calculator.
INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].
This document has 20 pages. Any blank pages are indicated.
IB22 10_1112_01/8RP
© UCLES 2022
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2
1
Anastasia collects information to investigate this statement.
Older teachers pay more for their cars than younger teachers.
Tick () the two items that are most relevant to her investigation.
if the teacher is male or female
the age of the teacher
the subject the teacher teaches
the price the teacher paid for their car
[1]
2
Oliver throws a ball at a basketball hoop 20 times.
He scores a basket 7 times.
He misses the basket 13 times.
Use this information to estimate the probability of Oliver scoring a basket.
[1]
3
When Eva works for h hours she earns 25h dollars.
Work out how much she earns when she works for 10 hours.
dollars
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3
4
Youssef has a 2-litre bottle of water.
He pours the water into 50 ml glasses.
Work out how many glasses Youssef could completely fill.
[1]
5
Here are the costs of buying theatre tickets from a booking agency.
Adult ticket
$65 each
Child ticket
$45 each
Hassam buys two adult tickets and two child tickets.
The booking agency charges an extra 5% of the total cost as a booking fee.
Work out how much Hassam pays altogether.
$
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4
6
Work out 6 1 ÷ 1 2
4
3
Give your answer as a mixed number in its simplest form.
[3]
7
Here is the net of a cuboid.
5 cm
NOT TO
SCALE
3 cm
3 cm
Work out the surface area of the cuboid.
cm2 [2]
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5
8
Line AB is shown on the grid.
y
6
5
4
3
2
1
B
–6 –5 –4 –3 –2 –1 0
–1
–2
–3
–4
–5
–6
A
1 2 3 4 5 6
x
(a) Plot the point (0, –3) on the grid.
Label it C.
[1]
(b) ABCD is a rectangle.
Write down the coordinates of D.
D = (…………. , …………) [1]
9
Complete the multiplication grid.
×
6
4
7
8
9
32
42
[1]
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6
10 Write these measurements in order from smallest to largest.
0.13 km
30 m
200 m
,
,
0.127 km
,
smallest
largest
[1]
11 Babies born at a hospital are described as having Low or Medium or High mass at birth.
The table shows some information about 200 babies born at the hospital last month.
(a) Fill in the missing values in the table.
Male
Female
Low mass
18
22
Medium mass
46
106
90
200
Total
High mass
Total
[2]
(b) One of the male babies is chosen at random.
Find the probability he has a Medium mass.
[2]
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12 Samira owns a bookshop.
She makes money from the café in the shop as well as from selling books.
The bar chart shows Samira’s profits between 2019 and 2021
200
180
160
140
120
Profits
100
(in thousands
80
of dollars)
60
Café
Books
40
20
0
2019
2020
2021
Year
Samira says, ‘My total profits have increased between 2019 and 2021’
Write down one other comment to describe how her profits have changed between 2019
and 2021
[1]
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8
13 Draw a ring around the fraction that is the largest.
7
10
19
30
11
15
2
3
[1]
14 Find the highest common factor of 39 and 52
[1]
15 Simplify.
3m – 8n + 7m + 5n
Expand the brackets.
4x (7x – 3)
[2]
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9
16 Work out.
4.2 × 3.6 + 4.2 × 6.4
[2]
17 Draw a line to match each calculation to its correct answer.
0.03
3 × 103
0.003
3 ÷ 10–2
0.0003
3 ÷ 102
3000
3 × 10–3
300
[2]
18 Here is a sequence.
7,
11,
15,
19,
23,
…
Find the nth term for this sequence.
[2]
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19 Draw a ring around the number that is nearest in value to the square root of 74
8.1
5500
8.6
4900
9
[1]
20 A box of grapes costs $1.60
Work out the cost of 30 boxes of grapes.
$
[1]
21 Write the missing index number in the box.
x7 × x
x4
= x8
[1]
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22 Lily is trying to find out if boys or girls scored generally higher marks in a test.
She decides to find the mode, the mean and the range for each group.
Here are the results of her calculations.
Boys
Girls
Mode
52
41
Mean
38.4
41.2
Range
40
36
Put a tick () next to the group with the generally higher marks.
Boys
Girls
Explain your answer.
[1]
23 Draw a ring around the incorrect statement.
x+y–m=x–m+y
x+a–b=b–a+x
t×m×c=c×t×m
(v + w) ÷ x = (w + v) ÷ x
[1]
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24 Cylinder A has a height of 10 cm.
It is being filled with water.
The graph shows how the height, in cm, of water in the cylinder
changes with the time, in seconds, as cylinder A is filled.
10 cm
10
Cylinder A
9
8
7
6
Height of
water in 5
cylinder
(cm)
4
3
2
1
0
0
1
2
3
4
5
6
7
8
9
10
Time (seconds)
(a) Describe what the graph shows about the change in height of water after 2 seconds
compared with before 2 seconds.
[1]
(b) Cylinder B is identical to Cylinder A.
10 cm
Cylinder B is filled with water so that the height of water increases at a constant rate
of 1.25 cm per second.
Show this information on the same grid.
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25 A cyclist leaves home at 08:35
He travels 49 kilometres at an average speed of 14 kilometres per hour.
Work out the time that he finishes his journey.
[2]
26 Work out.
(23 – 3 × 3)2
[2]
27 Draw a ring around the two calculations that have an answer smaller than 73
73 × 0.26
73 ÷
2
15
73 ÷ 0.49
73 ×
3
7
[1]
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28 The diagram shows a scale drawing of a garden.
T
B
A
Scale: 1 centimetre represents 5 metres
A shed is going to be put in the garden.
It must be:
• at least 15 metres away from side AB,
• at least 20 metres away from the tree marked T.
Shade the region where the shed can be built.
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29 The diagram shows a shape made from five identical cubes.
On the grid, draw the elevation in the direction of the arrow.
[1]
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30 Here is a rectangle on a coordinate grid.
y
7
6
5
B
4
3
2
A
1
−7 −6 −5 −4 −3 −2 −1 0
−1
1
2
3
4
5
6
7
x
−2
−3
−4
−5
−6
−7
The rectangle is rotated 90° clockwise about vertex A.
Work out the coordinates of the image of vertex B.
(…………. , …………) [1]
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31 a and b are two numbers where
0<a<1
b>1
and
Tick () to show if each statement is true or false.
True
False
a–b<0
a2 > a
ab > b
b
>b
a
[2]
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Cambridge Lower Secondary Checkpoint
*6221652383*
MATHEMATICS
1112/02
Paper 2
October 2022
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You may use a calculator.
INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages. Any blank pages are indicated.
IB22 10_1112_02/5RP
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1
(a) Complete the table of values for y = 3x + 1
x
0
y
1
1
2
3
10
[1]
(b) Draw the graph of y = 3x + 1 on the grid.
y
11
10
9
8
7
6
5
4
3
2
1
0
1
2
3
4
5
6
x
[2]
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3
2
Work out the missing number in this calculation.
6.3 ×
3
= 60.9 × 3
[1]
There are 9 girls and 11 boys in a group.
Complete these sentences about the group.
The ratio of girls to boys is
:
The fraction who are girls is
The percentage who are boys is
%
[2]
4
(a) Round 10.675 correct to one decimal place.
[1]
(b) Round 3.46485 correct to two decimal places.
[1]
5
Write a negative number in each box to make the calculation correct.
−
=
−5
[1]
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6
211 people go on a trip by bus.
Each bus can take 16 people.
Find the smallest number of buses needed.
[1]
7
Write down the mass shown by the arrow on the diagram.
100 g
200 g
g
8
[1]
Carlos writes down a 4-digit number.
The number is a multiple of 3 and 5
Two of its digits are square numbers.
Two of its digits are prime numbers.
Complete his number.
4
9
[2]
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9
C
B
115°
NOT TO
SCALE
x
A
25°
D
ABC is a straight line.
Triangle ABD is isosceles.
Find angle x.
° [2]
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6
10 The table shows the resting pulse rate of eight people and how many kilometres they run
per week.
Kilometres run
per week
Resting pulse rate
(beats per minute)
32
25
12
10
50
42
16
30
60
67
73
69
48
52
64
56
35
40
45
50
(a) Draw a scatter graph to show this information.
75
70
65
Resting pulse rate
(beats per minute)
60
55
50
45
40
0
5
10
15
20
25
30
55
Kilometres run per week
[2]
(b) Write down the type of correlation between kilometres run per week and resting
pulse rate.
[1]
(c) Mike runs 14 kilometres per week.
Draw a ring around the most likely resting pulse rate for Mike.
46
57
68
75
[1]
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7
11 Yuri and Chen live in the same house.
They both go for a walk along the same path and return back home again.
The travel graph shows some information about Yuri’s and Chen’s walks.
18
16
Yuri
Chen
14
12
Distance
from home
(km)
10
8
6
4
2
0
11:00
12:00
13:00
14:00
15:00
Time
16:00
17:00
18:00
(a) Write down the time when Chen passes Yuri.
[1]
(b) Chen does not walk as far as Yuri.
He stops for 30 minutes when he is 10 km from home.
He then walks back home at a constant speed, arriving home 45 minutes before Yuri.
Complete the travel graph for Chen.
[2]
12 Write 5
7
as a decimal.
16
[1]
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13 The coordinates of point X are (–2, 5) and the coordinates of point Y are (4, –5).
Find the midpoint of the line XY.
(
,
) [2]
14 Here is part of a recipe.
2 cups of flour
–3 cup of water
4
(a) Write the ratio amount of flour : amount of water in its simplest form.
:
[1]
(b) Naomi makes the recipe using 5 cups of flour.
Find how much water she uses.
cups [2]
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15 In 1975, the population of lions in Africa was 250 000
In 2015, the population of lions in Africa was 30 000
Calculate the percentage decrease in the African lion population between 1975 and 2015
%
[2]
16 Here is a mapping.
x → (x – 2)2
Write a value in each box to make the mappings correct.
The first one has been done for you.
x
→
(x – 2)2
4
→
4
6
→
→
64
[2]
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17 The edges of a cuboid are 2 cm, 3 cm and 6 cm.
This is part of a drawing of the cuboid on isometric paper.
= 1 cm
Complete the drawing of the cuboid.
[1]
18 A pattern is made by tessellating shape A on the grid.
Draw shape A three more times to continue the tessellation.
A
[1]
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11
19 Five students take part in a swimming race.
The probabilities of some of the students winning the race are given in the table.
Name
Probability of
winning
Anastasia
Mia
Eva
0.15
0.25
0.2
Angelique
Jamila
Angelique is three times as likely as Jamila to win the race.
Use this information to complete the table.
[2]
20 Here is a right-angled triangle.
NOT TO
SCALE
8.7 cm
12.5 cm
Calculate the length of the hypotenuse.
cm [2]
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21 This chart shows information about the heights of 80 plants.
30
25
20
Frequency
15
10
5
0
10
20
30
40
50
60
70
80
90
Height (cm)
The mean height is 41.9 cm.
Tick () the correct statement.
The median height and the mean height are the same.
The median height is more than the mean height.
The median height is less than the mean height.
You cannot tell if the median height is less than, more than or the same as
the mean height.
[1]
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22 Here is a cylinder.
12 cm
NOT TO
SCALE
(a) The diameter of the top of the cylinder is 12 cm.
Calculate the area of the top of the cylinder.
cm2 [2]
(b) The volume of the cylinder is 1700 cm3.
Calculate the height of the cylinder.
cm
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[1]
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23 Rajiv takes four suitcases on holiday.
A
x kg
B
C
kg
D
kg
kg
Suitcase A has mass x kg.
Suitcase B has a mass that is 6 kg less than suitcase A.
Suitcase C has a mass that is twice the mass of suitcase B.
The total mass of all four suitcases is (6x – 20) kg.
Find an expression, in terms of x, for the mass of suitcase D.
Give your answer in its simplest form.
kg [3]
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24 Flour is sold in 25 kg sacks.
25 kg
A loaf of bread is made using 400 grams of flour.
A baker makes 64 loaves of bread a day.
The baker wants to order enough flour to last him for 20 days.
Calculate the minimum number of sacks he should order.
[3]
25 Here are four properties of a square.
Property A
Property B
Property C
Property D
Four equal sides
Diagonals
intersect at right
angles
Four lines of
symmetry
Two pairs of
parallel sides
Another type of quadrilateral always has property B but has none of the other three
properties.
Write down the name of this quadrilateral.
[1]
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26 A teacher gives this question to her class.
Work out 0.32
Pierre says that the answer is 0.9
Explain why Pierre is wrong without working out the exact answer.
[1]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge
Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge.
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Cambridge Lower Secondary Checkpoint

MATHEMATICS
1112/01
Paper 1
April 2021
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You are not allowed to use a calculator.
INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages.
IB21 05_1112_01/4RP
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2
1
Complete the calculations.
(a) 0.9 × 4 =
[1]
× 7 = 2.8
(b)
[1]
2
(a) Write an algebraic expression for each function machine.
One has been done for you.
×5
n
n
×3
n
+4
3n
−3
[1]
(b) Complete the function machine for the statement below.
Hassan thinks of a number.
He divides the number by 4
and then adds 2
The answer is 7
n
7
[1]
(c) Work out the number Hassan was thinking of in part (b).
[1]
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3
3
Here is a number fact.
148 × 76 = 11 248
Use this fact to work out the calculations.
14.8 × 76
149 × 76
[2]
4
Eva measures the diameter of a circle as 15.9 cm.
She uses a calculator to work out the area.
She says,
The area is
198.5565097 cm2.
Round this answer to an appropriate degree of accuracy.
cm²
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4
5
Work out.
7.2 – 3.463
[1]
6
Here is a number statement.
11 1
a
– =
12 2 12
Find the value of a.
a=
7
[1]
Work out 15% as a fraction in its simplest form.
[1]
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5
8
Here are parts of two train timetables.
One shows journeys from Manchester to Leeds and the other shows journeys from Leeds
to Manchester.
Manchester
Stalybridge
Huddersfield
Dewsbury
Leeds
07:40
07:53
08:12
08:23
08:36
08:11
08:25
08:46
08:55
09:09
08:41
08:54
09:13
09:23
09:36
09:11
09:25
09:46
09:55
10:08
09:41
09:54
10:13
10:22
10:35
10:10
10:24
10:45
10:54
11:07
Leeds
Dewsbury
Huddersfield
Stalybridge
Manchester
08:40
08:51
09:00
09:19
09:38
09:13
09:24
09:34
09:54
10:09
09:41
09:52
10:01
10:19
10:38
10:14
10:25
10:34
10:54
11:08
10:41
10:52
11:01
11:19
11:38
11:14
11:25
11:34
11:54
12:07
(a) Carlos is travelling from Stalybridge to Leeds on the 08:54 train.
Find how long his journey takes.
minutes [1]
(b) Jamila is travelling from Leeds to Dewsbury.
She arrives at the train station in Leeds at 8.50 am.
Find the time of the next train to Dewsbury.
[1]
(c) Oliver travels from Huddersfield to Leeds on the 08:12 train.
He goes shopping in Leeds and returns to the station 1
1
hours after he arrived.
2
He then catches the next train back to Huddersfield.
Find the time he gets back to Huddersfield.
[1]
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6
9
Convert 160 kilometres into miles.
miles
[1]
10 The diagram shows two cuboids.
5 cm
3 cm
6 cm
NOT TO
SCALE
h
A
B
5 cm
9 cm
The cuboids have equal volume.
Find the height, h, of cuboid B.
h=
cm [2]
11 Tick () to show if each of these statements is true or false.
One has been done for you.
True
1 m = 100 cm
False

1 mm = 0.01 cm
1 kg =
1
g
1000
1 tonne = 1000 kg
[1]
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12 Here is a sketch of a compound shape made from a triangle and a semicircle.
B
5 cm
A
7 cm
10 cm
NOT TO
SCALE
C
Use a ruler and compasses to construct the shape accurately.
Leave in your construction lines.
Line AC has been drawn for you.
A
C
[3]
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13 The diagram shows the positions of three vertices of a parallelogram.
y
10
9
8
7
6
5
4
3
2
1
−4 −3 −2 −1 0
−1
1
2
3
4
5
6
7
8
x
−2
−3
−4
(a) Write down the coordinates of a possible position of the fourth vertex.
(
,
)
[1]
)
[1]
(b) Write down the coordinates of a different possible position of the fourth vertex.
(
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9
14 Write
66
as a fraction in its simplest form.
72
[1]
15 Work out.
14 + –5.5
– 6 × −1.5
[2]
16 A shop sells two sizes of washing powder.
Pack A contains 900 g plus
1
extra free.
4
Pack B contains 1 kg plus 20% extra free.
Tick () the pack that contains the most powder.
You must show your working.
Pack A
Pack B
[2]
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10
17 Two different rectangles are joined together to make a compound shape.
Shape A has a length of (x + 3) and a width of (x + 2).
Shape B has a length of (x + 6) and a width of (x – 2).
All measurements are in centimetres.
(x + 3)
Shape A
(x + 2)
NOT TO
SCALE
(x – 2 )
Shape B
(x + 6 )
Find an expression for the area of the compound shape in cm2.
Give your answer in the form ax2 + bx + c.
[3]
18 Here is a square-based pyramid.
The top vertex is directly above the middle of the base.
Write down the number of planes of symmetry in the pyramid.
[1]
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19 The table shows the ratio of the number of teachers to the number of students needed for
each class.
Class
Teachers : Students
Swimming
1:3
Volleyball
1 : 10
Football
1 : 12
(a) Students are asked to choose from the three classes.
14 choose swimming, 22 choose volleyball and 27 choose football.
All the classes happen at the same time.
Calculate the number of teachers needed in total.
[2]
(b) A dance class needs a ratio of 1 teacher for every 16 students.
There are 5 dance teachers.
72 students choose dance.
Calculate how many more students can attend the dance class.
[1]
20 Mia wants to investigate if older students have more money than younger students.
She surveys students at her school.
Identify two pieces of data that Mia must collect from each of the students.
and
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[1]
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12
21 The grid shows a straight line.
y
6
5
4
3
2
1
–3 –2 –1 0
–1
1
2
3
4
5
6
x
–2
–3
(a) Draw a ring around the equation of the line.
y=x+2
y = 2x + 2
y = –2
y=x–2
y = 2x – 2
[1]
(b) A different equation is 2x + y = 4
Complete the table of values for 2x + y = 4
x
y
0
3
0
–2
[1]
(c) Draw the line 2x + y = 4 on the same grid.
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13
22 Two shapes are shown on the grid.
y
14
12
10
8
6
B
4
2
–14 –12 –10 – 8 – 6 – 4 – 2 0
–2
2
4
6
8 10 12 14 x
–4
A
–6
–8
–10
–12
–14
(a) Describe the single transformation that maps shape A onto shape B.
[2]
(b) Draw the image of shape B after an enlargement, scale factor 2, centre (–10, 8).
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14
23 Students can choose to take part in a club after school.
Lily draws a pie chart to show the clubs chosen by girls.
Yuri draws a pictogram to show the clubs chosen by boys.
Girls
Boys
art
music
art
football
football
music
Key:
represents 20 boys
Tick () to show if each of these statements is true or false or you cannot tell.
True
False
You cannot
tell
Ten more boys choose football than choose music.
The modal club is the same for both girls and boys.
A larger proportion of girls than boys choose art.
A larger number of boys than girls choose football.
[2]
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15
24 Here is a graph of four lines.
y
40
30
20
10
0
10
20
30
40
x
The equations of the lines are
y = x + 14
y = x – 14
x + 2y = 36
x + 2y = 60
Use the graph to find an approximate solution to these simultaneous equations.
y = x + 14 and x + 2y = 36
x=
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and y =
[2]
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16
25 William plays a game.
He throws two fair dice.
His score is the higher of the two numbers shown on the dice.
The sample space diagram shows some of his possible scores.
Second dice
First dice
1
2
3
4
5
6
1
1
2
3
4
5
6
2
2
2
3
4
3
3
3
3
4
4
4
5
5
6
6
(a) Complete the sample space diagram.
[2]
(b) Work out the probability that his score is greater than 4
[1]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.
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Cambridge Lower Secondary Checkpoint

MATHEMATICS
1112/02
Paper 2
April 2021
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You may use a calculator.
INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages. Any blank pages are indicated.
IB21 05_1112_02/6RP
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2
1
Here is a list of symbols.
<
>
=
Choose the correct symbol from the list for each of these statements.
3.7
3.65
4.035
4.34
7.6
7.60
[1]
2
Draw a ring around the value of the digit 4 in the number 6.354
4
10
4
100
4
1000
4
10 000
[1]
3
Solve.
5x – 2 = 3(x + 4)
x=
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3
4
Work out.
1 + 12 2
2 × 3 2 − 13
[1]
5
A plane flies between two cities 1836 km apart.
It travels at an average speed of 850 km/h.
Calculate how long the flight takes.
Give your answer in hours.
hours
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4
6
Ten teams (A to J) entered a competition to build a model car using plastic bricks.
Competition rules:
(1) The maximum number of batteries to power the model car is 6
(2) The maximum mass of the model car is 1 kg.
(3) The winner is the model car with the greatest speed.
The scatter graphs show some information about the model cars built by the 10 teams.
2.5
E
I
2
J
D
1.5
Speed
(metres per
second)
1
F
H
C
B
G
0.5
0
A
0
2
4
6
Number of batteries
8
10
2.5
E
I
2
J
D
1.5
Speed
(metres per
second)
1
C
F
H
B
G
0.5
0
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0
0.2
0.4
0.6
0.8
Mass (kg)
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5
2.5
E
I
2
J
D
1.5
Speed
(metres per
second)
1
C
F
B
H
G
0.5
0
A
0
2
4
6
8
Number of wheels
10
12
(a) Complete these sentences.
Team
wins the competition.
Teams
competition rules.
and
are disqualified for breaking the
[2]
(b) Complete these sentences to describe the type of correlation shown on these three
graphs.
The graph of speed plotted against the number of batteries shows
correlation.
The graph of speed plotted against the mass shows
correlation.
The graph of speed plotted against the number of wheels shows
correlation.
[2]
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6
7
Draw the reflection of the triangle in line L.
L
[1]
8
Gabriella’s book has 348 pages.
She has read 163 of the pages.
Safia’s book has 562 pages.
She has read 225 of the pages.
Tick () to show who has read the greater proportion of their book.
Show all your working.
Gabriella
Safia
[2]
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7
9
The table shows information about a sequence of patterns made from rods.
Diagram
Pattern number
1
2
3
Number of rods
3
5
7
4
(a) Draw the diagram for pattern number 4 in the table.
[1]
–1
(b)
+1
+2
÷2
+3
×2
×3
Choose two of these cards to complete the sentence describing the general term.
Number of rods needed = pattern number
then
[1]
10 Draw a ring around all the numbers that are greater than
0.45
0.55
0.65
0.75
11
15
and less than
16
16
0.85
0.95
[1]
11 Complete this calculation.
42 = 2 × (
+ 3)
[1]
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12 Write the ratio 75 cm : 1.8 m in its simplest form.
:
[2]
13 Lily pours 5 litres of water into glasses.
Each glass holds 225 millilitres.
Calculate how many glasses Lily can fill completely.
[1]
14 Write 735 as the product of its prime factors.
[2]
15 Write the answer to each calculation correct to two decimal places.
Calculation
Correct to two decimal places
45 ÷ 13
103 ÷ 15
17 ÷ 11
[2]
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9
16 ABCDEF is a hexagon.
C
B
D
F
A
E
(a) Measure angle ABC.
[1]
(b) ABCDEF is enlarged by scale factor 3.
Write down the size of angle ABC in the enlarged shape.
[1]
17 Angelique wants to find out how students in her class travel to school.
Design a question for her to find this data.
Include response boxes.
[2]
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10
18 Some students choose their favourite drink from the six drinks shown in the table.
Some of the probabilities of the students choosing each drink are shown.
Drink
Tea
Coffee
Probability
0.15
0.32
Milk
Water
Cola
0.08
Orange
0.29
Three times as many students choose milk as choose cola.
Complete the table.
[2]
19 The exchange rate from euros (€) to dollars ($) is €1 = $1.2
Complete these conversions.
€160 to dollars.
$
$76.80 to euros.
€
[2]
20 A farm has 150 hectares of land.
Write this area in square metres.
m2
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11
21 (a) Solve the inequality.
19 ≤ 7 − 3x
[2]
(b) Represent the range of values for x on the number line.
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10
[1]
22 The original price of a television is reduced by 25%.
This new price is then increased by 25%.
Calculate the price of the television now as a percentage of the original price.
% [2]
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23 The diagram shows a semicircle.
NOT TO
SCALE
The diameter of the semicircle is 12 cm.
Calculate the perimeter of the semicircle.
cm [2]
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24 Here are two rectangles.
NOT TO
SCALE
8 cm
8 cm
15 cm
15 cm
The second rectangle is cut in half and joined to the first rectangle to make a new shape.
NOT TO
SCALE
8 cm
15 cm
Calculate the perimeter of the new shape.
cm [2]
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25 The table shows the number of music downloads bought by 35 students during a year.
Number of
music downloads
Frequency
0–4
5
5–9
16
10 – 14
11
15 – 19
3
>19
0
Write down the modal class.
[1]
26  and  are positive integers.
 is a factor of 15
 is a multiple of 3
Write down the smallest possible answer to  × .
[1]
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27 Ahmed has a rod 2 metres long.
NOT TO
SCALE
2m
He cuts the rod into four pieces and uses them to make a rectangle.
NOT TO
SCALE
The length of the rectangle is 3 times the width.
Calculate the area of the rectangle in square centimetres.
cm2 [3]
28 Tick () the expression that is closest to the square root of 3a6
1.5a2
1.5a3
1.7a2
1.7a3
3a3
[1]
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Cambridge Lower Secondary Checkpoint

MATHEMATICS
1112/01
Paper 1
October 2021
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You are not allowed to use a calculator.
INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages. Any blank pages are indicated.
IB21 10_1112_01/7RP
© UCLES 2021
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2
1
Write
64
in its simplest form.
124
[1]
2
Write in the boxes the correct name for each part of a circle.
[2]
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3
3
All the rows, columns and diagonals add up to 15 in this grid.
3
4
8
10
5
0
2
6
7
Complete this grid so that all of the rows, columns and diagonals add up to 15
−3
12
5
13
[2]
4
Solve.
17 – 3x = 2
x=
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4
5
The diagram shows the first three patterns of a sequence made from rods.
Pattern 1
Pattern 2
Pattern 3
(a) Draw Pattern 4 in the sequence.
Pattern 4
[1]
(b) Complete the statement.
When the pattern number increases by 1,
the number of rods increases by
[1]
(c) Work out how many rods will be used for Pattern 7
[1]
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5
6
The bar chart shows how students in Class 7 travel to school.
15
12
9
Frequency
6
3
0
car
bus
train walk bicycle
Transport
Tick () to show if these statements are true or false.
One has been done for you.
True
False

There are 40 students in Class 7
50% of the students travel by car or bus.
A quarter of the students walk to school.
[1]
7
Write 0.285 as a fraction in its simplest form.
[2]
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6
8
Write these measurements in order of size from smallest to largest.
540 m
504 cm
5.04 km
smallest
5400 mm
largest
[1]
9
Pierre rolls a dice with four sides, numbered 1 to 4
He also throws a coin with two outcomes, H or T.
List all the possible outcomes.
One has been done for you.
You may not need to use all the rows.
Dice
Coin
1
H
[1]
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7
10
a
b
c
e
g
d
f
h
Choose one of these words to complete each sentence about the angles in the diagram.
reflex
corresponding
alternate
Angles b and f are
angles.
Angles d and e are
angles.
opposite
right
[2]
11 Draw a ring around all the shapes that are congruent to triangle A.
A
[1]
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12 Work out.
65 ÷ 9
Give your answer correct to two decimal places.
[2]
13 Write a value in the box to make this statement correct.
28 × 10 = 28 ÷
[1]
14 (a) Work out.
2.46 × 1.3
[2]
(b) Write your answer to part (a) correct to two significant figures.
[1]
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15 Here is a right-angled triangle.
(a) Sketch two of these right-angled triangles joined together to make a parallelogram.
You must mark the right angles in both triangles.
[1]
(b) Sketch two of these right-angled triangles joined together to make a kite.
You must mark the right angles in both triangles.
[1]
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16 Eva measures the mass of 25 children.
She calculates the mean and the median of the masses.
Eva makes a mistake when measuring the mass of one child.
That child’s actual mass is 5 kg greater than Eva’s measurement.
Tick () the correct response to each of these statements.
Must
be true
Must
be
false
Could be
true or
false
The correct mean is greater than Eva’s mean.
The correct median is greater than Eva’s median.
[1]
17 Complete this statement using consecutive whole numbers.
<
40 <
[1]
18 Carlos, Rajiv, Samira and Naomi share a bag of sweets.
2
Carlos eats of the sweets.
5
1
Rajiv eats of the sweets.
6
Samira and Naomi share the rest of the sweets equally.
Work out the fraction of the sweets that Samira gets.
[3]
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11
19 The first three terms of the sequence 3n2 – 7n are
– 4,
–2,
6
Write down the first three terms of the sequence 3n2 – 7n + 3
,
,
[1]
20 Mike conducts an experiment to find out if cars drive at different speeds on different days.
He collects data about the speed of cars on the road between 12 pm and 1 pm on two
different days.
His data is shown in the back to back stem-and-leaf diagram.
Monday
Thursday
0
4
2
9 2 2
8 1 0
5 2
3
1
2
3
4
5
6
7
8
5
0
3
1
4
6
4
4
9
7
3
7
5
7
4 5 6
9 9 9
8
9
Key: 2⏐4⏐1 represents 42 km / h on Monday
and 41 km / h on Thursday
(a) Work out the difference in speed between the fastest car on Monday and the fastest car
on Thursday.
km / h [1]
(b) Mike concludes that the speed of cars is lower when there are more cars on the road.
Explain how the data supports Mike’s conclusion.
[1]
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21 Hassan plays cricket.
The table shows the number of catches he makes in 50 games.
Number of catches
0
1
2
3
4
5
Frequency
8
11
12
13
4
2
(a) Use the table to estimate the probability that he makes exactly one catch in the next
game he plays.
[1]
(b) Write down the modal number of catches.
[1]
(c) Find the median number of catches.
[1]
2
of a bag of carrots each day.
7
Work out how many days it takes the hamster to eat 8 whole bags of carrots.
22 A hamster eats
[2]
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23
a = 4 and t = –3
Work out the value of 5at 2
[1]
24 Mia has two ribbons.
One is 60 cm long and the other is 45 cm long.
Mia cuts both ribbons into pieces.
All the pieces have the same length.
Find the greatest possible length of each piece of ribbon.
cm [1]
25 Here is a number fact.
56 × 94 = 5264
Use this fact to work out these calculations.
5.6 × 0.94 =
5264 ÷ 0.56 =
[2]
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14
26 Trains travel between two stations.
The distance between the two stations is 200 kilometres.
The average speed of two trains is shown in the table.
Train
Average speed
A
100 kilometres per hour
B
80 kilometres per hour
Calculate the difference between the journey times of the two trains.
Give your answer in minutes.
minutes [2]
27 Write these numbers in order of size, starting with the smallest.
0.48 × 104
16 × 10–2
7 ÷ 10–3
smallest
175 000 ÷ 104
largest
[2]
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28 The diagram shows an object A and an image B.
y
7
6
5
4
A
3
B
2
1
–7
–6
–5 – 4 –3
–2
–1 0
–1
1
2
3
4
5
6
7
x
–2
–3
–4
–5
–6
–7
A can be mapped onto B using a rotation centre (0, 0) followed by a different type of
transformation.
Complete the descriptions of the two transformations.
First transformation:
Rotation,
, centre (0, 0).
Followed by second transformation:
[3]
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Cambridge Lower Secondary Checkpoint
MATHEMATICS
1112/02
October 2021
Paper 2
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You may use a calculator.
INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].
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1
The diagram shows a square split into congruent triangles.
Work out the percentage of the square that is shaded.
%
2
[1]
 is a multiple of 8
 is a factor of 15
 +  = 45
Find the value of  and the value of 
=
=
[2]
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3
The diagram shows a postcard with a width of 10 cm.
The ratio of width to length of the postcard is 4 : 5
(a) Work out the length of the postcard.
cm [1]
(b) Work out the area of the postcard.
cm2 [1]
4
Write an integer on each line to complete the equation.
7x +
+
x − 6 = 9x − 3
[2]
5
Write the ratio 150 : 250 in its simplest form.
:
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6
Here is part of a bus timetable.
Southend
12:03
13:03
14:03
15:03 16:04
Rayleigh
12:35
13:35
14:35
15:37 16:41
Chelmsford
13:00
14:00
15:00
16:02 17:09
Stansted airport
13:39
14:39
15:41
16:44 17:52
(a) The 15:03 bus from Southend is 23 minutes late when it arrives at Stansted airport.
Work out the time the bus arrives.
[1]
(b) Rajiv travels from Rayleigh to Stansted airport.
He arrives at Rayleigh at 14:45
Work out the number of minutes Rajiv waits for the next bus.
minutes [1]
(c) Oliver travels by bus from Rayleigh to Stansted airport.
His flight leaves at 5:15 pm.
He needs to arrive at the airport more than 1 hour before the flight leaves.
Work out the latest time Oliver can leave Rayleigh.
[1]
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7
(a) Complete this table of values for y = 10x – 15
x
y
−1
1
3
15
[1]
(b) Use the table to draw a graph of y = 10x – 15
[1]
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8
Mia buys a car for $12 500
She sells it to Chen for $16 000
(a) Calculate Mia’s percentage profit.
%
[2]
(b) Chen sells the car to Gabriella.
He makes a loss of 5%.
Calculate the price Gabriella pays for the car.
$
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9
The diagram shows three points, A, B and C.
(a) Find the coordinates of the midpoint of the line AC.
(
,
) [1]
D=(
,
) [1]
(b) ABCD is a square.
Write down the coordinates of D.
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10 Write each of these as a single fraction.
Give each answer in its simplest form.
6a a
−
7
7
1
1
+
c 2c
[2]
11 A man has a mass of 120 kg.
A bus has a mass of 17 tonnes.
A rhinoceros beetle can lift an object 850 times its own body mass.
Work out the number of buses the man could lift if he could lift 850 times his own body
mass.
[2]
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12 Hassan makes a scale drawing of his bedroom.
He uses the scale 1 : 40
Hassan’s bed is represented by a rectangle 4.5 cm long on his drawing.
Work out the actual length of Hassan’s bed.
cm
[1]
13 Carlos builds a wooden frame.
He needs two 45 cm lengths of wood and two 60 cm lengths of wood.
Carlos has a 2 metre length of wood.
Tick () to show if Carlos has enough wood to build the frame.
Yes
No
Show your working.
[2]
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14 Two coffee shops record the different types of coffee they sell in a day.
The pie charts show their results.
The coffee shop at the train station sells more cups of Americano than the coffee shop at
the park.
Work out how many more cups of Americano are sold.
[2]
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15 (a) Here is a table showing some algebraic expressions and what they mean in words.
Complete the table.
One has been done for you.
Algebraic expression
Meaning in words
5x – 4
Multiply x by 5
then subtract 4
Add 3 to x
then divide by 7
9(x + 2)
then
[2]
(b) Samira writes an algebraic expression which means
subtract 6 from x then square.
Write down the algebraic expression.
[1]
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16 A security code is made up from one number and then one shape.
(a) Complete the sample space diagram.
Shape
1
1
2
2
Number
3
4
[1]
(b) Eva says,
‘The number in my security code is even.’
Ahmed chooses an even number and a shape at random.
Find the probability that Ahmed chooses Eva’s security code.
[1]
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17 Write a positive number in each box to make each statement true.
0.8
×
<
0.8
1.3
÷
<
1.3
8
÷
>
80
[2]
18 Minibuses are used to take 142 people to a wedding.
One minibus can hold 17 people.
Work out the number of minibuses used.
[1]
19 Angelique finds coordinates on the straight line y = 2x + 4
She finds the x-coordinate from a given y-coordinate.
Draw a ring around the correct function to find x.
x = 2y + 4
x = ( y − 4) ÷ 2
x = ( y ÷ 2) − 4
x = ( y + 4) ÷ 2
[1]
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20 Naomi draws a tessellation using only one type of regular polygon.
Three of these polygons meet at one point in her tessellation.
Name the regular polygon Naomi uses.
[1]
21 Use the method of trial and improvement to find the solution of
x3 + 3x = 20
Find the value of x correct to one decimal place.
You must show all your working.
You may not need to use all the rows in the table.
x
x3 + 3x
2
14
x=
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22 Safia wants to find out if taller students have bigger hand spans.
She wants to draw a scatter diagram.
She collects data from 15 students using this data collection sheet.
Height, x (cm)
100 ⩽ x < 125
Tally
125 ⩽ x < 150
||||
175 ⩽ x < 200
||
150 ⩽ x < 175
Hand span, y
(cm)
10 ⩽ y < 15
|
20 ⩽ y < 25
||||
15 ⩽ y < 20
|||| |||
Tally
|||| ||||
25 ⩽ y < 30
(a) Give one reason why this is not a good data collection sheet for her to use.
[1]
(b) Design a suitable data collection sheet that Safia could use.
[1]
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23 A fish tank in the shape of a cuboid has length 60 cm, depth 30 cm and height 30 cm.
(a) Find the capacity of the fish tank in litres.
l [2]
(b) The fish tank contains 47.7 litres of water.
Find the height of the water.
Give your answer in centimetres.
cm [1]
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24 A box contains pens of different colours.
Yuri takes a pen from the box at random.
The probabilities of him taking a pen coloured red or blue or green are shown in the table.
Colour of pen
Red
Blue
Green
Probability
0.4
0.15
0.25
Yuri says,
‘There must be more than three different colours of pen in the box.’
Explain how the probabilities show Yuri is correct.
[1]
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25 Here is a kite.
BC = 5 cm, CD = 15 cm and AC = 6 cm.
AC and BD are perpendicular.
Find the length of BD.
cm [3]
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Cambridge Lower Secondary Checkpoint

MATHEMATICS
1112/01
Paper 1
April 2020
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
 Answer all questions.
 Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
 Write your name, centre number and candidate number in the boxes at the top of the page.
 Write your answer to each question in the space provided.
 Do not use an erasable pen or correction fluid.
 Do not write on any bar codes.
 You should show all your working in the booklet.
 You are not allowed to use a calculator.
INFORMATION
 The total mark for this paper is 50.
 The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages. Blank pages are indicated.
IB20 05_1112_01/7RP
© UCLES 2020
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1
Work out the value of 5 2  121
[1]
2
Simplify.
x6 × x3
[1]
3
(a) Write
14
as a mixed number.
3
[1]
(b) Write 8 as a percentage of 32
%
4
[1]
Simplify.
 6p + 4p – 5p
[1]
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3
5
Solve.
5x + 35 = 75
[1]
x=
6
The grid shows the positions of three points, A, B and C.
y
6
5
B
4
3
C
2
A
1
−5
−4
−3
−2
−1
0
1
2
3
4
5
x
−1
−2
−3
−4
−5
ABCD is a square.
Write down the coordinates of D.
(
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,
) [1]
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4
7
This graph shows the number of drinks that are sold in one week.
18
16
14
12
Number 10
of drinks
sold
8
6
4
2
0
Tea
Coffee
Orange Milkshake
Juice
Water
Lemonade
Type of drink
(a) Work out how many more drinks of lemonade than water are sold.
[1]
(b) Write down the modal drink.
[1]
8
Write a number in the box to make this statement correct.
5 cm2 =
mm2
[1]
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5
9
(a) Complete the table to show equivalent numbers.
The first row is completed for you.
Power of 10
Ordinary number
102
100
10 000
105
[1]
(b) Work out.
1.2 ÷ 0.01
[1]
10 Mike has six cards each labelled with a letter.
C
H
A
N
C
E
He selects a card at random and records the letter on it.
(a) Write down a list of all the possible outcomes.
[1]
(b) Write down the probability that Mike selects a card that is labelled with the letter C.
[1]
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6
11 Gabriella is 110 cm tall.
Pierre is 154 cm tall.
This is the ratio of their masses.
Gabriella’s mass : Pierre’s mass
3:8
The value of their total mass, in kg, is 1 of the value of their total height, in cm.
4
Complete the table.
Height (cm)
Gabriella
110
Pierre
154
Mass (kg)
[3]
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12 Oliver draws two pie charts that show the favourite subjects of students from two different
schools.
School A has 200 students.
School B has 120 students.
School A
School B
Maths
15%
Science
25%
Science
10%
Art
32%
Drama
20%
English
8%
Drama
20%
English
25%
Maths
25%
Art
20%
120 students
200 students
Oliver says that the same number of students in School A and in School B said maths is
their favourite subject.
Tick () to show if Oliver is correct or not correct.
Correct
Not correct
You must show your working.
[2]
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8
13 The coordinates of point A are (3, 8) and the coordinates of point B are (9, 15).
Find the coordinates of the midpoint of AB.
(
,
) [1]
14 Here is a function.
x

10x + 2
3

32
7

72
4

Fill in the missing numbers.

2
[1]
15 Work out.
7
9
×
12 14
Give your answer as a fraction in its simplest form.
[2]
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9
16 Angelique leaves home at 09:30 to go for a walk.
The graph shows information about her walk.
10
9
8
7
Distance
from home
(km)
6
5
4
3
2
1
0
09:00
10:00
11:00
12:00
Time
13:00
14:00
15:00
She walks 8 km, stops for a rest and then returns home the same way.
(a) Work out her speed on the return part of her journey.
km / h
[1]
(b) Carlos is Angelique’s brother.
He leaves home at 10:00
He walks at 6 km / h in the same direction as Angelique.
He walks for 90 minutes.
Draw a line on the graph to show his walk.
[1]
(c) Estimate the time when Angelique and Carlos meet.
[1]
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10
17 This square-based pyramid is made of wire.
The edges of the base all have length 3.07 cm.
The other edges all have length 6.93 cm.
6.93 cm
NOT TO
SCALE
3.07 cm
Find the total length of wire.
cm [2]
18 Here is a number fact.
13 442  47 = 286
Use this fact to work out
(a) 13.442  4.7
[1]
(b) 2.86 × 94
[1]
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11
19 A rectangle has sides of length 1200 m and 700 m.
Draw the rectangle to scale.
Use a scale of 1 cm represents 200 m.
Scale 1 cm = 200 m
[2]
20 Complete these calculations.
7.4 +
= 3.1
9.4  –5.7 
[2]
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12
21 Safia wants to find out whether people like a new airport.
She surveys 20 people who work at the airport one morning in March to find their opinion
of the airport.
Write down two ways Safia could improve her data collection method.
1
2
[2]
22 The diagram shows an object made from 5 cubes.
It has been drawn on isometric paper.
Plan view
Front view
Draw the plan and the front elevation of the object on the grids below.
Plan
Front elevation
[2]
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13
23 Change the 12-hour clock times into 24-hour clock times.
12-hour clock
24-hour clock
6.15 pm
9.59 am
12.01 am
[2]
24 Triangle B is an enlargement of triangle A.
B
A
Work out the scale factor of the enlargement.
[1]
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14
25 The table shows the ages of a group of boys and girls.
Age (in years)
Number of boys
Number of girls
10
8
8
11
7
10
12
8
14
13
12
6
14
0
2
15
0
2
16
10
0
17
6
0
Tick () to show if these statements are true or false.
True
False
There are more girls aged 12 years than boys aged 12 years.
The range of ages for the boys is higher than the range of ages for
the girls.
[1]
2
5
and
3
6
Write your answer as a fraction in its simplest form.
26 Find the fraction half-way between
[2]
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15
27 The diagram shows a fish tank.
4 cm
NOT TO
SCALE
40 cm
30 cm
50 cm
The fish tank has a capacity of 60 litres.
Lily uses a 2000 ml jug to put water in the fish tank.
She stops when the water is 4 cm from the top.
Work out the number of jugs of water that Lily uses.
[3]
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16
28 Put these calculations in order of size from smallest to largest.
You do not need to work out each value.
9  0.85
9  0.18
9  0.5
9  0.1
smallest
largest
[1]
29 The diagram shows triangle XYZ.
XY is parallel to ZV.
XZW is a straight line.
Y
V
b
X
a
NOT TO
SCALE
c
d
e
W
Z
Jamila proves that the angles of triangle XYZ add up to 180°.
Complete her proof.
Angles a and e are equal because they are
Angles b and
angles.
are equal because they are alternate angles.
Angles c, d and e add up to 180° because
So the angles in triangle XYZ add up to 180.
[2]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.
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Cambridge Lower Secondary Checkpoint

MATHEMATICS
1112/02
Paper 2
April 2020
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
 Answer all questions.
 Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
 Write your name, centre number and candidate number in the boxes at the top of the page.
 Write your answer to each question in the space provided.
 Do not use an erasable pen or correction fluid.
 Do not write on any bar codes.
 You should show all your working in the booklet.
 You may use a calculator.
INFORMATION
 The total mark for this paper is 50.
 The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages. Blank pages are indicated.
IB20 05_1112_02/6RP
© UCLES 2020
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2
1
Calculate the square root of 74
Give your answer correct to 1 decimal place.
[1]
2
Simplify these expressions.
f+f+f+f
2y + 6 – y + 1
[2]
3
Simplify fully this ratio.
12 : 30
:
4
[1]
Some trees are planted in rows of 10
Complete the formula to find the total number of trees, t, in r rows.
t=
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3
5
Chen rolls a dice and records the score each time.
The results are shown in the table.
Score
Frequency
1
9
2
14
3
2
4
12
5
8
6
5
Calculate his mean score.
[2]
6
10 cm
7 cm
NOT TO
SCALE
7 cm
6 cm
10 cm
Find the volume of the cuboid.
Give the units of your answer.
[2]
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4
7
Work out.
(1 + 2.5)2 – (1 + 2.52)
[1]
8
Here is a formula.
V = a(b – 5)2
Work out the value of V when a = 4 and b = 8
V=
9
[1]
Angelique travels 75 miles.
Jamila travels 115 kilometres.
Show that Angelique has travelled further than Jamila.
[1]
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5
10 Expand.
2a (2b – 3a)
[2]
11 Write the missing numbers in the boxes.
% of 250 = 75
75% of
= 300
[2]
12 These are the instructions on a box of grass seed.
1.5 kg of seed will cover
an area of 48 m2
Work out the amount of grass seed that is needed to cover an area of 256 m2.
kg [2]
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6
13 Round to two significant figures.
0.045 325
16 872
[2]
14 A circle has diameter 8 cm.
NOT TO
SCALE
8 cm
Calculate the circumference of the circle.
cm
[2]
15 Find the value of x.
93 × 9
= 9x
6
9
x =
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7
16 Here are some descriptions of how a variable y changes with time.
A The height ( y) of water in a bath as someone gets in and then after a few minutes gets
out and takes the plug out.
B The distance ( y) travelled by a runner who starts very fast and gradually slows down.
C The speed ( y) of a train which leaves a station, speeds up and then slows down to stop
again at the next station.
D The distance from home ( y) travelled by someone walking from home at a constant
speed to a shop and then, after shopping, walking home again at a constant speed.
E The speed ( y) of a cyclist who cycles slowly up a hill and then accelerates down the
other side.
For each graph, write the letter of the description that best describes its shape.
y
..............
y
..............
time
y
y
..............
time
time
..............
y
..............
time
time
[2]
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17 Factorise.
5b2  3b
[1]
18 The diagram shows a cuboid.
The length, width and height of the cuboid are all different.
Write down the number of planes of symmetry of this cuboid.
[1]
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9
19 D is directly proportional to T.
When T = 3, D = 36
(a) Find the formula connecting D and T.
[1]
(b) Find T when D is 66
[1]
(c) Draw the graph of the relationship between D and T for 0 ≤ T ≤ 10
D
150
140
130
120
110
100
90
80
70
60
50
40
30
20
10
0
0
1
2
3
4
5
6
7
8
9
10
T
[1]
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10
20 A quadrilateral is drawn on the grid below.
Show how the quadrilateral tessellates.
Draw 5 more of these quadrilaterals.
[1]
21 Here are the coordinates of five points.
Cross ( × ) the point that is not on the line with equation y = 5x – 3
(8, 37)
(2, 7)
(6, 27)
(5, 28)
(0, 3)
[1]
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11
22 The table shows the mean and range of the number of customers at a restaurant on
Mondays and Thursdays.
Mean
Range
Mondays
34
14
Thursdays
41
20
The restaurant manager says,
‘The number of customers on Mondays is less variable than on Thursdays.’
Explain why the manager is correct.
[1]
23 Convert 4 2 to a decimal.
7
Give your answer correct to 2 decimal places.
[1]
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12
24 The scale shows the mass of a van.
0
500
3500
3000
1000
kilograms
1500
2500
2000
Write down the mass of the van in tonnes.
tonnes
[1]
25 Find the nth term for this sequence.
3, 8, 13, 18, 23 …
[2]
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26 Here are some currency exchange rates.
1 US dollar = 7.76 HK dollars
1 US dollar = 1.47 NZ dollars
Work out the value of 1000 HK dollars in NZ dollars.
NZ dollars
[2]
27 A square and a regular hexagon are joined together along one edge.
NOT TO
SCALE
B
A
C
Find angle BAC.
°
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14
28 Mia buys 50 coats at $28 each.
She sells 38 of these coats at $49 each.
She sells the rest of the coats at $40 each.
Find the overall percentage profit Mia has made on these coats.
%
[3]
29 Hassan travels by bus to work every morning.
The bus is either green or blue or yellow.
The table shows information about the probabilities of each colour.
Colour of bus
Green
Blue
Yellow
Probability
2x
2x
x
(a) Calculate the value of x.
x
[2]
(b) Work out the probability that Hassan’s bus is either blue or yellow.
[1]
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15
30 Find the inverse function of y = 3x
y=
[1]
31 ABCD is a square with side length 8 units.
The coordinates of D are ( p, q).
y
A
B
x
D
(p, q)
NOT TO
SCALE
C
The square is translated so that point B moves to point D.
Write down the coordinates of the new point A in terms of p and q.
(
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)
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Cambridge Lower Secondary Checkpoint

MATHEMATICS
1112/01
Paper 1
October 2020
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You are not allowed to use a calculator.
INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages. Blank pages are indicated.
IB20 10_1112_01/6RP
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2
1
Write down the temperature shown on this scale.
0
10
−10
20
30
−20
40
−30
50
°C
°C
2
[1]
Draw a line to match each fraction to its percentage equivalent.
The first one has been done for you.
1
4
35%
7
20
34%
17
50
25%
6
15
33 1
3%
1
3
40%
[2]
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3
3
y
x=2
6
5
4
3
2
1
–6
–5
–4
–3
–2
0
–1
1
2
3
4
5
x
6
–1
–2
P
–3
–4
–5
–6
Q is the reflection of P in the line x = 2
Work out the coordinates of Q.
(
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4
4
Here is a shape that has been divided into equal parts.
(a) Write down the fraction of the shape that is shaded.
Give your answer in its simplest form.
[1]
(b) Find the percentage of the shape that is unshaded.
%
5
[1]
Choose from these units to give the most appropriate unit of measurement for each item.
g
kg
m
l
ml
m2
cm2
The area of a classroom floor.
The mass of a child.
The amount of water in a swimming pool.
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5
6
Yuri is a piano teacher.
He collects the examination marks of his students.
He asks each of them how many minutes they play their piano for each night.
The scatter diagram shows some of his data.
140
130
120
Examination
mark
110
100
90
80
0
10
20
30
Playing time each night (minutes)
40
(a) The playing times and examination marks of 2 more students are shown in the table.
Playing time each night
(minutes)
12
30
Examination mark
106
125
Plot these values on the scatter diagram.
[1]
(b) Describe the relationship between playing time and examination mark.
[1]
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6
7
Write
43
as a mixed number.
7
[1]
8
Angelique is n years old.
Jamila says,
‘To get my age, start with Angelique’s age, add one and then double.’
Write an expression, in terms of n, for Jamila’s age.
[1]
9
Use numbers from the list to complete the sentences.
2
9
14
20
23
35
36
You may use a number more than once.
The square numbers are
and
The factors of 18 are
and
The multiples of 4 are
and
[3]
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10 Complete each statement with the correct power of 10 from the box.
The first one has been done for you.
3
10
4
10
2
1
10
10
6
10
10 × 10 is the same as
8
10
10
5
102
10 000 is the same as
One million is the same as
1000 ÷ 0.01 is the same as
[2]
11 Here is a calculation 48 × 23 = 1104
Use this calculation to work out the following.
(a) 48 × 24
[1]
(b) 4.8 × 0.23
[1]
(c) 1104 ÷ 2.3
[1]
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12 Simplify.
f×f×f×f×f
3×g×g×2×g
[2]
13 Draw a ring around all the statements that are examples of discrete data.
mark out of 10 on a test
time taken to run a marathon
mass of a bag of oranges
average speed of a journey
number of books sold
[1]
14 The thickness of a pile of paper is 24 mm.
Each sheet is the same and has a thickness of
2
mm.
11
Find the number of sheets of paper in the pile.
[2]
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15 Mike throws a fair six-sided dice.
(a) The scale shows the probability of an event.
0
1
Tick () all the events that could be represented by the arrow.
Getting an odd number on the dice.
Getting the number 3 on the dice.
Getting a number less than 4 on the dice.
[1]
(b) Draw an arrow (↑) on the scale to show the probability of getting a 4 or a 5 on the dice.
0
1
[1]
16 In a traffic survey of 495 vehicles, 390 are cars.
Work out the fraction of the vehicles that are not cars.
Give your answer as a fraction in its simplest form.
[2]
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17 (a) Complete the table of values for y – 2x = 6
x
–4
y
–2
–2
0
[1]
(b) The line 4y – x = 7 is shown on the grid below.
Draw the line y – 2x = 6 on the same grid.
y
8
7
6
5
4
3
4y – x = 7
2
1
–8
–7
–6
–5
–4
–3
–2
–1
0
1
2
x
–1
–2
–3
–4
[2]
(c) Use the graph to solve the simultaneous equations
4y – x = 7
and
y – 2x = 6
x=
y=
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11
18 The diagram shows an equilateral triangle.
All measurements are in cm.
NOT TO
SCALE
2x + 2
3x + 4
a
The perimeter of the triangle is 57 cm.
Find the length of a.
cm [3]
19 A sequence begins
3,
– 6,
12,
– 24,
48, …
(a) Write down the term-to-term rule for this sequence.
[1]
(b) Write down the next two terms.
and
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20 Blessy has r red flowers, w white flowers and y yellow flowers.
r :w=3:2
w:y =4:3
Blessy has 12 yellow flowers.
Work out how many flowers she has in total.
[2]
21 The diagram shows a pair of parallel lines, GH and JK.
E
G
X
Y
J
H
K
F
EF is a straight line that crosses GH at X and crosses JK at Y.
On the diagram,
• label with the letter A the angle that is alternate to angle GXY,
• label with the letter C the angle that is corresponding to angle GXY.
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22 A piece of paper has an area of 0.3 m2.
NOT TO
SCALE
0.3 m2
A circle of area 705 cm2 is cut out of the piece of paper.
NOT TO
SCALE
705 cm2
Work out the area of the paper that remains.
Give your answer in square metres.
m2
[2]
23 Factorise fully.
10ab – 5b2
[2]
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24 The diagram shows a triangle ABC on a grid.
y
6
5
4
C
3
2
A'
–6
–5
–4
–3
–2
A
1
–1
0
1
–1
B
2
3
4
5
6 x
–2
–3
B'
–4
–5
–6
A' and B' are the images of A and B after an enlargement.
(a) Plot C', the image of C after the enlargement.
[1]
(b) Describe fully the enlargement from triangle ABC to triangle A'B'C'.
[2]
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25 Hassan investigates the amount of fruit that people eat.
The bar-line charts show the number of portions of fruit that 30 adults and 30 children ate
on Monday.
Adults
10
9
8
7
6
Frequency 5
4
3
2
1
0
0
1
2
3
4
5
Portions of fruit
6
7
6
7
Children
10
9
8
7
6
Frequency 5
4
3
2
1
0
0
1
2
3
4
5
Portions of fruit
Tick () to show who ate more fruit on Monday.
Adults
Children
Give a reason to explain your answer.
[1]
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26 This is part of the net of a cuboid.
Draw the missing face to complete the net.
[1]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.
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Cambridge Lower Secondary Checkpoint

MATHEMATICS
1112/02
Paper 2
October 2020
1 hour
You must answer on the question paper.
You will need:
Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You may use a calculator.
INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].
This document has 16 pages. Blank pages are indicated.
IB20 10_1112_02/7RP
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2
1
Use a whole number to complete the statement.
3.15 × 0.04 = (3.15 ×
) ÷ 100
[1]
2
Lily wants to count the number of cars of different colours that drive past her school.
Design a data collection sheet that Lily could use.
[2]
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3
The diagram shows a cuboid.
NOT TO
SCALE
4 cm
5 cm
11 cm
Calculate the volume of the cuboid.
cm3 [1]
4
The cost to hire a hall is $20 plus $15 per hour.
(a) Write down a formula for the cost $C to hire the hall for h hours.
C=
[1]
(b) Use the formula to work out the cost to hire the hall for 6 hours.
$
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5
This shape is made from two rectangles.
3.2 cm
3.7 cm
NOT TO
SCALE
8.2 cm
8.5 cm
Calculate the area of the shape.
cm2 [2]
6
Rajiv puts $2400 in a savings account.
One year later it is worth $2580
Work out the annual rate of interest.
%
7
[2]
Draw a ring around the point which does not lie on the line y = 3x + 2
(2, 8)
(0, 4)
(100, 302)
(9, 29)
[1]
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8
D
9.75 cm
NOT TO
SCALE
C
5 cm
B
13 cm
9.6 cm
A
16.25 cm
12 cm
7.2 cm
E
Write down the length of the hypotenuse of triangle BCE.
cm
9
[1]
Pink paint is made by mixing 9 parts of white paint with 5 parts of red paint.
Find the number of parts of red paint needed to mix with 54 parts of white paint.
[1]
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10 (a) Here is a calculation.
87 ÷ 14 = 6 remainder 3
Draw a ring around the correct fraction for the answer to this calculation.
6
3
6
3
87
14
3
6
6
3
14
3
6
14
[1]
(b) Use two whole numbers to complete this calculation.
=9
÷
2
13
[1]
11 A set of data has fewer than 6 values.
The median of the set of data is 5 but none of the values is 5
Write down a set of possible values for this data.
[1]
12 Draw a ring around each of the two ratios that are equivalent.
2:3
4:3
3:2
6:8
15 : 10
[1]
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13 Carlos carries out a survey on clubs at school.
This is one of the questions in his survey.
Do you agree that there should be more clubs to go to at school?
Yes
No
Don’t mind
Write down one reason why this is not a good question.
[1]
14 Here is a scale drawing showing three cities.
B
A
C
The real-life distance from city A to city B is 140 km.
Find the real-life distance from city B to city C.
km [2]
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15 The graph shows Angelique’s journey to work.
20
Work
Angelique
15
Distance
from home 10
(km)
5
0
08:00
08:30
09:00
Time
09:30
10:00
(a) Write down the number of minutes Angelique stops for during her journey.
minutes
[1]
(b) Safia takes exactly the same route to work.
She leaves at 08:30
It takes her 45 minutes to get to work.
She travels at a constant speed.
Draw Safia’s journey on the grid.
[1]
(c) Safia passes Angelique on her way to work.
Write down the time when she passes Angelique.
[1]
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16 (a) Chen throws a coin 120 times.
He gets 54 heads.
Write down the relative frequency that Chen gets a head.
[1]
(b) Jamila also throws a coin 120 times.
The relative frequency that she gets a head is 0.575
Work out how many more heads Jamila gets than Chen gets.
[2]
17 Write 252 as a product of its prime factors.
[2]
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18 A supermarket puts coloured labels on bottles of drinks to show how much sugar each
contains per 100 ml.
Each label is either green or yellow or red.
Colour of label
Amount of sugar per 100 ml of drink
Green
Less than 2.4 g
Yellow
Between 2.4 g and 6.2 g
Red
More than 6.2 g
The supermarket sells lemonade in bottles containing 250 ml.
Each bottle contains 14.5 g of sugar.
Work out which colour label should be put on these bottles of lemonade.
Draw a ring around your answer.
Green
Yellow
Red
Show how you worked out your answer.
[2]
19 Calculate.
7 + 4.13
3.1× 0.2
[1]
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20 40% of a number is 80
Find 55% of this number.
[2]
21 Use a trial and improvement method to find an approximate positive solution to this
equation.
x2 – 3x = 50
Give your answer correct to one decimal place.
You may not need all the rows.
One value has been done for you.
x
x2 – 3x
Too big or too small?
10
70
too big
x=
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22 Mike has 450 dollars and spends 360 dollars.
Gabriella has 3600 dollars and spends 2700 dollars.
Tick () to show who spends a greater proportion of their money.
Mike
Gabriella
Show how you worked out your answer.
[2]
23 Convert 15 miles into kilometres.
km [1]
24 A car travels at 72 km / h.
Work out the number of metres the car travels in one second.
m
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25 Round each number to 3 significant figures.
0.0045146
778 893.2
[2]
26 Shape A is enlarged by a scale factor of 2 to make shape B.
Shape B is then rotated to make shape C.
Shape C is then translated to make shape D.
Tick () to show if each pair of shapes are congruent or not congruent.
Congruent
Not congruent
A and B
A and C
B and D
[1]
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14
27 Shapes E and F are congruent.
Write down the coordinates of point P.
y
(–1, 7)
(–5, 4)
E
NOT TO
SCALE
(4, 2)
(–3, 1)
F
0
x
(6, –1)
P
(
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28 (a) The diagram shows shapes A, B, C and D each made using 5 identical cubes.
A
B
C
D
Write down the shape that does not have reflection symmetry.
[1]
(b) The diagram shows the front view of another shape made using 5 cubes.
Draw this shape on the isometric grid.
[2]
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29 The table shows data about the life of two types of battery.
Median
(hours)
Range
(hours)
Battery A
1.8
0.4
Battery B
1.3
0.6
Use the median and the range to compare the two types of battery.
median
range
[2]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.
© UCLES 2020
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Cambridge Assessment International Education
Cambridge Secondary 1 Checkpoint

1112/01
MATHEMATICS
Paper 1
October 2019
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
NO CALCULATOR ALLOWED.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 12 printed pages.
IB19 10_1112_01/5RP
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2
1
Here are some words that describe parts of a circle.
Radius
Chord
Diameter
Arc
Use these words to label the circle parts shown in these diagrams.
[1]
2
A recipe uses 3 eggs with 600 g of flour.
Find the number of eggs to use in the same recipe with 1 kg of flour.
[1]
3
Work out.
5 × (42 + 2 – 12)
[1]
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3
4
Here is a multiplication fact.
231
3 4 2
Use this fact to complete these calculations.
(a)
13
2 4
[1]
1 3
(b) 1  
3 4
[1]
5
Pierre and Blessy are in a bike race.
(a) Blessy starts the race at 10.45 am and finishes at 2.10 pm.
Work out how long Blessy takes.
Give your answer in hours and minutes.
hours
(b) Pierre cycles 18 km in
minutes
[1]
km / h
[1]
1
hour.
2
Work out his average speed.
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6
Work out.
(a) 16.8 × 9
[1]
(b) 8.76 ÷ 6
[1]
7
Yuri designs this frequency table for recording the wingspan, L mm, of butterflies.
Wingspan, L mm
Tally
Frequency
20 ≤ L < 30
≤L<
≤L<
50 ≤ L < 60
(a) Complete the first column of the table so that all intervals have equal class width.
[1]
(b) Yuri measures the wingspans, in mm, of 15 butterflies.
34
43
51
29
40
37
56
25
36
33
48
39
45
32
Complete the tally and frequency columns of the table to show Yuri’s data.
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5
8
Here are the first three diagrams in a sequence.
× ×
× O
× ×
× × ×
× O O
× O O
× × ×
× × × ×
× O O O
× O O O
× O O O
× × × ×
Diagram 1
Diagram 2
Diagram 3
(a) Draw the next diagram in this sequence on the grid.
Diagram 4
[1]
(b) Explain why the number of circles in Diagram 5 will be 25
[1]
(c) Find an expression for the number of crosses in Diagram n.
[2]
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9
Tick () to show if these statements are true or false.
0.4 = 4 %
True
False
7  27 %
20
True
False
1  10 %
10
True
False
[1]
10 There are some children in a classroom.
The ratio of boys to girls is 3 : 1
(a) Work out the fraction of the children that are boys.
[1]
(b) There are 24 boys in the classroom.
Work out the number of girls.
[1]
11 Work out 2
4
2
3
5
3
Give your answer as a mixed number in its simplest form.
[3]
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12 Put one of the operations
or
×
÷
into each box to make the statements true.
14
2.5 = 35
84
0.25 = 21
7
0.2 = 35
0.64
0.02 = 32
[2]
13 Write
54
in its simplest form.
117
[1]
14 Expand and simplify.
(x – 6)(x + 5)
[2]
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8
15 Aiko records the time, in seconds, that it takes for the children in her class to swim a
length of the pool in January.
1
2
3
4
5
6
Key:
6
0
0
2
4
1
8
2
2
4
6
7
9
5
5
8
5
7
8
1  6 = 16 seconds
(a) Work out the median time.
seconds
[1]
seconds
[1]
(b) Work out the range of the times.
Aiko records the times it takes the same children to swim a length of the pool in June.
She works out that
 the median time in June is 25 seconds,
 the range of the times in June is 55 seconds.
(c) Aiko says,
‘The times vary less in June than in January.’
Tick () to show if Aiko is correct or incorrect.
Correct
Incorrect
Give a reason for your answer.
[1]
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16 A (5, 8) and B (3, –2) are two points on a coordinate grid.
C is the midpoint of AB.
(a) Work out the coordinates of C.
(
,
)
[2]
(
,
)
[2]
(b) B is the midpoint of AD.
Work out the coordinates of D.
17 (a) Look at this list of numbers.
–8
–3
–1
0
7
10
Write down all the numbers from this list that satisfy the inequality 3 < x ≤ 7
[1]
(b) Write down the inequality shown on the number line below.
−6 −5 −4 −3 −2 −1 0
1
2
3
x
[1]
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18 (a) Complete the table.
The first one has been done for you.
Number
Rounded to 2
decimal places
0.03864
0.04
Rounded to 2 significant
figures
3.0249
[2]
(b) Complete this table by writing a possible number in the first column.
Number
Rounded to 1 significant
figure
Rounded to 2 significant
figures
4000
4000
[1]
19 Here is an expression.
2xy – 12 + 7y – 5x
Write down the third term of this expression.
[1]
20 (a) Convert 0.003 m3 into cubic centimetres.
cm3
[1]
litres
[1]
(b) Convert your answer to part (a) into litres.
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11
21 This shape is drawn on a triangular grid.
Complete the missing numbers.
Number of lines of symmetry =
Order of rotational symmetry =
[2]
22 The sum of three consecutive whole numbers is 54
Work out the three numbers.
,
and
[1]
23 Write the missing numbers in this multiplication grid.
2
×
1
5
5
0.2
2
[2]
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24 Estimate 3 120 to the nearest whole number.
[1]
25 Use a ruler and compasses to construct the perpendicular to the line AB passing through
point P.
Do not rub out your construction lines.
A
P
X
B
[2]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of
Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.
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Cambridge Assessment International Education
Cambridge Secondary 1 Checkpoint

1112/02
MATHEMATICS
Paper 2
October 2019
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Calculator
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
Calculator allowed.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 19 printed pages and 1 blank page.
IB19 10_1112_02/4RP
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2
1
Jamila does a survey to find the cost in dollars ($) and the memory size in
gigabytes (GB) of memory sticks for computers.
The scatter graph shows the results of her survey.
40
35
30
25
Cost ($) 20
15
10
5
0
0
4
8
12 16 20 24 28 32 36 40 44 48 52 56 60 64 68
Memory size (GB)
(a) Jamila buys a memory stick for $8
Draw a ring around the most likely memory size for Jamila’s memory stick.
1 GB
2 GB
8 GB
32 GB
64 GB
[1]
(b) Describe the relationship between the memory size and cost of the memory sticks.
[1]
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3
2
Simplify these power calculations.
Give each answer as a power of 6
(a) 68 ÷ 62
[1]
(b) 3 × 2 × 63 × 64
[1]
3
Safia is a tennis player.
The bar chart shows the number of matches she played each year from 2010 to 2014
45
40
35
Matches lost
30
Number of
matches
Matches won
25
20
15
10
5
0
2010
2011
2012
2013
2014
Year
Write down how many matches she lost in 2010
[1]
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4
4
Write one of the signs
<
=
>
in each box to make a correct statement.
0.04
0.040
0.44
0.044
0.404
0.44
[2]
5
The diagram shows a cube and a cuboid.
NOT TO
SCALE
6 cm
6 cm
7 cm
5 cm
Tick () to show which has the larger volume.
Cube
Cuboid
You must show how you calculated your answer.
[2]
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5
6
Lily has seven cards.
(a) She picks a card at random.
Write down the probability that she picks a card that has a circle on it.
[1]
(b) Lily is given one more card.
The probability of picking at random a card with a square on it is now
1
2
Draw a ring around the shape that must be on the new card.
square
circle
triangle
cannot tell
[1]
7
Factorise 6x + 12y – 3z
[1]
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6
8
Chen and Yuri both travel to work along the same route.
Here is a travel graph showing their journeys.
25
Yuri
Chen
20
Distance
travelled
(km)
15
10
5
0
07:00
07:20
07:40
08:00
08:20
08:40
09:00
Time
(a) Write down the distance that they travel to work.
km [1]
(b) Chen passes Yuri on his way to work.
Write down the time at which Chen passes Yuri.
[1]
(c) Chen’s journey takes 23 minutes.
Work out how much longer Yuri’s journey takes.
minutes [1]
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7
9
Rajiv wants to buy 90 light bulbs.
He can buy them from Germany or the United States.
In Germany, a pack of 6 light bulbs costs 33 euros.
In the United States, a pack of 3 light bulbs costs 18 dollars.
The exchange rate is 1 euro = 1.1 dollars.
Work out how much Rajiv can save by buying his 90 light bulbs from the United States.
Give your answer in dollars.
dollars
[3]
10 Write the missing numbers in the boxes to make the statements correct.
(a) 15% of 40 =
(b)
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% of 150 =
[1]
2
3
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8
11 Four lines are shown on the grid.
y
Line A
8
Line B
6
4
Line C
2
–2
0
2
4
8 x
6
Line D
–2
(a) Draw a ring around the line that has equation y = 4
Line A
Line B
Line C
Line D
[1]
(b) Line E is parallel to Line A and passes through the point (–2, 5).
Write down the equation of Line E.
[1]
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9
12 Angelique has some building blocks.
The blocks are red or green or yellow or blue.
(a) There are 4 times as many blue blocks as there are green blocks.
Angelique picks a block at random.
Complete the table to show the probability of picking each colour.
Colour
Red
Probability
0.2
Green
Yellow
Blue
0.05
[2]
(b) Angelique picks two blocks at random.
Complete the sample space diagram showing all the possible outcomes for the
colours of her two blocks.
Block 2
Red
(R)
Block 1
Red
(R)
Green
(G)
Yellow
(Y)
Blue
(B)
RR
RG
RY
RB
Green
(G)
Yellow
(Y)
Blue
(B)
YY
BR
[1]
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10
13 The diagram shows a rectangle of length x cm and width y cm.
x cm
NOT TO
SCALE
y cm
(a) Write down an equation that shows the perimeter of the rectangle is 65 cm.
[1]
(b) Write down an equation that shows the length of the rectangle is 4 times the width.
[1]
(c) Use your equations to work out the value of x.
x=
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11
14 Aiko has these number cards.
−4
−8
−2
3
5
Aiko chooses two of the number cards.
She multiplies the numbers together.
Find the maximum possible answer she can get.
[1]
15 Complete the gaps in these statements.
The first one has been done for you.
1250
0.604
metres
=
1.25
kilometres
centimetres
=
45.2
millimetres
litres
=
1.87
=
millilitres
1870
kilograms
[2]
16 Write down the inverse of this function.
y = 2x
y=
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12
17 Here are two pie charts showing how students in different groups travel to school.
bus
walk
walk
bus
70°
70°
90°
130°
60° 70°
125°
105°
train
car
car
train
Group A
72 students
Group B
108 students
Ahmed says,
‘The same proportion of students travel by bus in both groups.’
Tick () to show whether Ahmed is correct or incorrect.
Correct
Incorrect
Explain your answer.
[1]
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13
18 The diagram shows points A, B and C plotted on a grid.
y
5
4
3
A
2
1
−5
−4
−3
−2
0
−1
1
−1
2
3
4
5
x
C
−2
B
−3
−4
−5
D is another point.
D has the same y-coordinate as A
and
CD is parallel to BA.
Write down the coordinates of D.
(
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,
)
[1]
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14
19 Quadrilaterals P, Q, R and S are shown on the grid.
y
6
5
P
4
3
Q
2
1
−4 −3 −2 −1 0
−1
S
−2
1
2
3
4
5
6
x
R
−3
−4
Complete the descriptions of each transformation.
(a) Quadrilateral
equation
(b) Quadrilateral
is a reflection of quadrilateral P in the line with
.
[1]
is a rotation of quadrilateral P by
degrees clockwise, about the point (
,
).
[2]
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15
20 The position-to-term rule for a sequence is
position
×6
+2
term
(a) Work out the second term of the sequence.
[1]
(b) Complete the term-to-term rule for the sequence.
Add
[1]
21 Construct an inscribed regular hexagon (ABCDEF) inside this circle.
Vertex A is marked.
Leave in your construction lines.
A
[2]
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16
22 A garage sells vehicles.
40% of the vehicles for sale are vans.
25% of the vans are red.
The garage has 12 red vans.
Work out how many vehicles the garage has for sale altogether.
[2]
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17
23 The diagram shows Hassan’s garden.
20 m
NOT TO
SCALE
16 m
1 m3 of soil has a mass of 1.2 tonnes.
Hassan buys 30 tonnes of soil.
He spreads the soil evenly over his garden.
Calculate the depth, in centimetres, of soil he spreads on his garden.
cm
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18
24 A solid cuboid is made from 60 cubes, each with side length of one centimetre.
The front elevation of the cuboid is shown in the diagram.
Draw the plan view of the cuboid.
[1]
25 The square of a number is 64
Write down the two possible values for the number.
and
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19
26 Two lines with equations x + 2y = 18 and 3x – y = 5 are drawn on the grid.
y
11
10
9
8
7
x + 2y = 18
6
5
4
3
2
1
–3 –2 –1 0
–1
1
2
3
4
5
6
7
8
9 10 11
x
–2
–3
3x – y = 5
–4
–5
–6
–7
–8
Use the graph to find the solution to the simultaneous equations
x + 2y = 18 and 3x – y = 5
x=
y=
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[1]
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint

1112/01
MATHEMATICS
Paper 1
April 2018
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
NO CALCULATOR ALLOWED.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 16 printed pages.
IB18 05_1112_01/4RP
© UCLES 2018
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2
1
Here is the rule for these number grids.
Add the two top numbers to get the number below.
10
15
10 + 15 = 25
25
Complete these grids.
(a)
–8
–3
[1]
(b)
1
8
3
4
[1]
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3
2
Here are two books.
Book A
Book B
500 pages
360 pages
Lily reads 32% of Book A.
Safia reads 40% of Book B.
Tick () to show who reads the most pages.
Lily
Safia
You must show your working.
[2]
3
A bottle of juice holds 1.5 litres.
Ahmed pours all the juice into glasses.
He pours 250 millilitres into each glass.
Work out how many glasses Ahmed uses.
[2]
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4
4
A teacher asks her class to work out the answer to
8 + 12 ÷ 4
Mike says that the answer is 5
He is wrong.
Explain why Mike is wrong.
[1]
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5
5
Triangle A is shown in the diagram.
4.3 cm
NOT TO
SCALE
75º
4.9 cm
57º Triangle A
Draw a ring around the triangles below that are congruent to Triangle A.
4.3 cm
38º
4.9 cm
75º
4.3 cm
NOT TO
SCALE
4.9 cm
4.9 cm
48º
48º
75º
4.3 cm
75º
[2]
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6
6
Work out
(a) 1.5  0.8
[1]
(b) 15 ÷ 0.06
[1]
7
There are 280 students in Year 10
Half of the students are boys.
155 of the students get a grade of A, B or C in their mathematics test.
61 girls get a grade of D, E or F.
(a) Complete the table.
Grade in mathematics test for Year 10 students
Grade
A, B or C
Grade
D, E or F
Total
Boys
Girls
280
Total
[2]
(b) A student is chosen at random from Year 10
Write down the probability that the student is a girl with a grade D, E or F.
[1]
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7
8
Here is an expression.
3a + 4 + 7b
Tick () the third term in this expression.
+
3a
4
7
7b
[1]
9
Use the laws of arithmetic to write numbers in the boxes to make these calculations
correct.
4.5  8 = 4.5  2  2 
8.84  25 = 8.84  100 ÷
6.8  5 = 6.8 
÷2
[2]
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8
10 (a) Factorise completely.
2x2 – 6x
[2]
(b) Make r the subject of the equation
h = 2(r – 4)
r=
[2]
=
[1]
11 Here is a division.
7.1 ÷ 8 = 0.875
One digit is missing.
Work out the digit that is missing.
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9
12 Here is a road sign in the USA.
CHICAGO
10 miles
Draw a ring around the distance, in kilometres, that is closest to 10 miles.
4 km
6 km
12 km
16 km
22 km
[1]
13 There are 96 children in a room.
40 of them are girls.
Find the fraction of the children that are boys.
Write your answer in its simplest form.
[1]
14 Expand and simplify.
(x – 2)(x + 8)
[2]
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10
15 Blessy collects information to investigate this statement.
Boys in my school play more sport each week than girls.
(a) Tick ( ) the two items that are most relevant to her investigation.
Age of student
Gender of student
Time spent doing sport each week
Favourite sport
[1]
(b) Blessy collects data from ten of her friends.
Explain why she may not get reliable results from her data.
[1]
16 (a) Write down the value of
225
[1]
(b) Draw a ring around the best estimate to the cube root of 100
3.2
4.6
10
33
[1]
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11
17 Work out
0.036 × 105 =
470 × 10–2
=
2 ÷ 10– 4
=
[2]
18 The term-to-term rule of a sequence is multiply by 3
The fourth term of the sequence is 54
Work out the first term of the sequence.
[1]
19 A bath has a volume of 0.25 m3.
Convert 0.25 m3 to cm3.
cm3
[1]
20 Work out the value of m in this calculation.
1
m –2 =
9
m=
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12
21 The diagram shows triangle A drawn on a grid.
y
8
7
6
A
5
4
3
2
1
−8 −7 −6 −5 −4 −3 −2 −1 0
−1
1
2
3
4
5
6
7
8
x
−2
−3
−4
−5
−6
−7
−8
(a) Reflect triangle A in the line y = 2
Label the reflection B.
[1]
(b) Reflect triangle B in the line x = 1
Label the reflection C.
[1]
A rotation will map triangle C back onto triangle A.
(c) Find the coordinates of the centre of this rotation.
(
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13
22 (a) The diagram shows some two-dimensional shapes.
Shape A
Shape B
Shape C
Shape D
Complete each of these sentences.
The first sentence has been completed for you.
Shape A has
2
line(s) of symmetry and rotational symmetry of order
Shape B has
line(s) of symmetry and rotational symmetry of order
Shape C has
line(s) of symmetry and rotational symmetry of order
Shape D has
line(s) of symmetry and rotational symmetry of order
2
[2]
(b) Draw a two-dimensional shape on the grid that has 4 lines of symmetry and rotational
symmetry of order 4
[1]
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14
23 The lines with equations 2y = x + 4, 2y = x + 8 and 2x + y = 10 are shown on the grid.
y
10
8
6
4
2
0
0
2
4
6
8
10
x
(a) Use the graph to solve these simultaneous equations.
2x + y = 10 and 2y = x + 4
x=
y=
[2]
(b) Draw the line 2x + y = 6 on the grid.
[2]
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24 The ratio of boys to girls in a school is
boys : girls = 4 : 3
One day, 18 girls are absent from school.
This represents 5% of all the girls in the school.
Calculate the total number of students in the school.
[3]
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16
25 The diagram shows a shape with all side lengths measured in centimetres.
All the angles are right angles.
x
5
NOT TO
SCALE
x
3
Write an expression, in terms of x, for the total shaded area.
cm2
[2]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at
www.cie.org.uk after the live examination series.
Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local
Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
© UCLES 2018
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint

1112/02
MATHEMATICS
Paper 2
April 2018
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Calculator
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
Calculator allowed.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 19 printed pages and 1 blank pages.
IB18 05_1112_02/4RP
© UCLES 2018
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2
1
Write a negative number in each box to make the calculation correct.

=
18
[1]
2
Complete these sentences.
The probability that a football team wins a match is 0.6 and the probability it does not win
is
.
The probability that a player scores a goal is
player does not score a goal is
and the probability that the
3
8
The probability that a fan supports a team is 72% and the probability that the fan does not
support the team is
%.
[2]
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3
3
The scatter graph shows the value (thousands of dollars) and the age (years) of eight cars.
16
14
12
Value
(thousands
of dollars)
10
8
6
4
2
0
0
1
2
3
4
5
6
Age (years)
7
8
9
10
A ninth car has a value of 11 thousand dollars and is 5 years old.
(a) Plot the information for the ninth car on the grid.
[1]
(b) Find the median age of the nine cars.
years
[1]
(c) Describe the relationship between the value of a car and its age.
[1]
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4
4
Mia’s house has increased in value by $12 000 in 15 months.
(a) Work out the rate of increase in the value of Mia’s house.
Give your answer in dollars per month.
$
per month
[1]
(b) Oliver’s house has increased in value by $10 200 in 12 months.
Tick () to show whose house has increased in value at a greater rate.
Mia’s house
Oliver’s house
Show how you worked out your answer.
[1]
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5
5
Angelique leaves home at 8.30 am.
She walks at a constant speed to a shop which is 3 kilometres from her home.
She arrives at the shop at 9.10 am and stays there for 15 minutes.
She then walks at a constant speed back home, arriving there at 10.10 am.
Draw a travel graph to show Angelique’s journey.
4
3
Distance
from home 2
(kilometres)
1
0
8.30 am
9.00 am
9.30 am
10.00 am
10.30 am
Time
[2]
6
A candle loses 22.4 cm of height when it burns for 7 hours.
An identical candle burns for 4 hours.
Work out how much height the candle loses.
cm
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6
7
The diagram shows a sketch of a kite.
NOT TO
SCALE
4 cm
A
6 cm
B
5 cm
Use a ruler and compasses to construct the kite in the space below.
The diagonal AB has been drawn for you.
Leave in your construction lines.
A
B
[2]
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8
Saki has 1865 apples.
She packs them into crates.
Each crate can hold 48 apples.
Work out the largest number of crates that she can fill completely.
crates [2]
9
(a) Carlos has some toy bricks.
Each brick is either red or blue.
The ratio of red bricks to blue bricks is 3 : 4
Draw a ring around the fraction of the bricks that are blue.
1
3
3
4
4
4
3
7
[1]
(b) Gabriella also has some toy bricks.
Her bricks are either yellow or green.
The ratio of yellow to green bricks is 4 : 1
She has 50 bricks altogether.
Work out how many green bricks Gabriella has.
[1]
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10 A hotel has 250 rooms.
175 rooms are occupied.
Calculate the percentage of the rooms that are occupied.
% [2]
11 Find the nth term of each sequence.
The first one has been done for you.
Sequence
nth term
3, 6, 9, 12, …
3n
6, 12, 18, 24, …
……………..
5, 8, 11, 14, …
……………...
[2]
12 Here are some number cards.
6
10
5
11
Use two of the cards to make a fraction which is less than
7
1
2
[1]
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9
13 The diagram shows a triangle on a grid.
On the grid, draw 6 more of the same triangle to show how it tessellates.
[1]
14 Chen has 1.6 kilograms of flour.
He uses one quarter of the flour to make a cake.
He uses a further 325 grams of the flour to make some biscuits.
Calculate how much flour Chen has left.
Give your answer in grams.
g
[2]
km
[1]
15 A train travels at 300 kilometres per hour.
Work out how far the train travels in 25 minutes.
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16 Triangle ABC is enlarged by a scale factor of 2 to give triangle XYZ.
7 cm
Y
B
14 cm
9 cm
35°
A
C
X
Z
NOT TO
SCALE
(a) Side YZ is 9 cm.
Find the length of side BC.
cm
[1]
°
[1]
(b) Angle BAC is 35°
Find angle YXZ.
17 Write these masses in order of size, starting with the smallest.
0.14 kg
1200 g
0.08 kg
smallest
45 g
largest
[1]
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11
18 The values of x and y are directly proportional.
Complete the table by filling in the missing number.
x
4
y
72
63
[1]
19  and  are both positive whole numbers smaller than 20
2 – 3 = 102
Work out the value of  and the value of 
=
=
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12
20 The cost of a visit by a plumber is in two parts.
A charge of 70 dollars
and
30 dollars for each hour of the visit.
(a) Complete this formula for the cost, y dollars, of a visit that lasts x hours.
y=
x+
[1]
(b) Draw a graph to show the costs of visits lasting up to 5 hours.
y
250
200
150
Cost
(dollars)
100
50
0
0
1
2
3
Time (hours)
4
5
x
[1]
(c) A visit costs 115 dollars.
Use your graph to estimate the length of the visit, in hours.
hours
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13
21 Here is a drawing of the net of a cube.
40 cm
Work out the surface area of the cube.
cm2
[2]
22 These two mapping diagrams are equivalent to each other.
Divide by 0.2
Multiply by .........
Complete the second mapping diagram by writing in a whole number.
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14
23 Fifty children take a mathematics test.
Three weeks later they take a second mathematics test.
The graph shows their scores, out of 10, in both tests.
Number of
children
20
18
16
14
12
10
8
6
4
2
0
0
1
2
3
4
5
6
7
8
9
10
Score out of 10
score in first test
score in second test
Write a statement to compare the scores of the children in the two tests.
[1]
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24 Aiko is investigating the question
How did the area of forest in South America change between 1990 and 2005?
She finds these pie charts for the years 1990 and 2005 on the internet.
1990
South
America
22%
Oceania
3%
North and
Central
America
20%
2005
Africa
14%
South
America
21%
Asia
13%
Africa
13%
Asia
14%
Oceania
3%
North and
Central
America
21%
Europe
28%
Total area of forest in the world:
3860 million hectares
Europe
28%
Total area of forest in the world:
3790 million hectares
They show the proportion of the world’s total forest area in each continent.
They also give the total area of forest in the world.
Use the information in the pie charts to find the decrease in the area of forest in
South America from 1990 to 2005.
million hectares
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16
25 The diagram shows the position of two mountains, A and B.
N
N
A
B
A third mountain, C, is
on a bearing of 145° from A
and
on a bearing of 270° from B.
Mark the position of C on the diagram.
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26
NOT TO
SCALE
1.9 cm
120°
2.4 cm
The length of the longest side of this triangle is 1.9 2  2.4 2  (1.9  2.4)
(a) Calculate the length.
Write down your full calculator answer.
cm
[1]
cm
[1]
(b) Round your answer to part (a) to an appropriate degree of accuracy.
27 Pierre is an electrician.
He uses this formula to work out the amount, $C, to charge for a job that takes t hours.
C = 20 + 30t
He starts a job at 9.30 am and finishes at 1 pm.
Work out his charge for this job.
$
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28 Yuri rolls a six-sided dice 200 times.
Lily rolls the same dice 250 times.
The table shows their relative frequencies for a score of six.
Yuri
Lily
Number of throws
200
250
Relative frequency for a six
0.18
0.22
Work out how many sixes they rolled altogether.
[2]
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29 The diagram shows a shape made from two identical parallelograms and a triangle.
NOT TO
SCALE
8 cm
8 cm
12 cm
11 cm
Calculate the total area of the shape.
cm2
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint

1112/01
MATHEMATICS
Paper 1
October 2018
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
NO CALCULATOR ALLOWED.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 16 printed pages.
IB18 10_1112_01/4RP
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2
1
Work out 53 ÷ 7
Give your answer correct to two decimal places.
[2]
2
Tick () a box to show whether the answer to each of these calculations is
less than 30, equal to 30 or more than 30
Less than 30
Equal to 30
More than 30
10% of 280
25% of 140
1
of 150
5
80% of 40
[2]
3
Write a number in each box to make a true statement.
6
– (–2)
=
32
÷ (–8)
=
(– 4)
×
×
3
= 24
[2]
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3
4
Yuri is 1.6 m tall and Lily is 140 cm tall.
Write down the ratio of Yuri’s height to Lily’s height.
Give your answer in its simplest form.
[2]
5
The diagram shows 5 angles.
Q
R
NOT TO
SCALE
a°
b°
P
57°
S
c°
d°
T
PS and RT are straight lines.
Draw a ring around an angle that must be equal to 123°.
a
b
c
d
Tick () the reason that best explains your answer.
Vertically opposite angles are equal
Angles on a straight line add up to 180°
Angles around a point add up to 360°
[1]
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4
6
(a) Draw a ring around the best estimate of
8.7
83
9.1
9.5
41.5
[1]
(b) Draw a ring around the value of 70
1
7
0
1
7
[1]
7
Work out.
(a) 3.8 + 4 × 2.5
[1]
(b) 37 × 45 + 63 × 45
[1]
8
Here is a number statement.
3
1
 28  of y
4
3
Find the value of y.
y=
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5
9
The diagram shows a shape with rotational symmetry of order 2
50 cm
20 cm
70 cm
NOT TO
SCALE
1.3 m
Work out the perimeter of the shape.
Give your answer in centimetres.
cm
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6
10 These quadrilaterals are congruent.
F
12 cm
100°
105°
E x°
10 cm
100° G
NOT TO
SCALE
85°
85°
H
(a) Write down the side of quadrilateral EFGH that must be 10 cm long.
[1]
(b) Work out the value of x.
x=
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7
11 The students in Class 9L have a test.
The table shows some information about their marks.
Mark
Frequency
0–9
10 – 19
11
20 – 29
30 – 39
4
There are 28 students in the class.
The modal class interval is 20 – 29
The lowest mark is 7 marks.
Complete the frequency column.
12 Two fractions are
[2]
5
4
and
4
5
Write down which fraction is closer to 1
Explain your answer.
is closer to 1 because
[1]
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13 Tick () to show whether each of these facts about the line y = 3x − 2 is true or false.
True
False
The line passes through the point (7, 19)
When x goes up by 1, y increases by 3
The line is parallel to the line y = 4x – 2
The line is steeper than the line y = 2x + 1
[2]
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14 Blessy has two bags containing numbered counters.
2
1
4
4
1
2
3
Bag A
6
3
Bag B
She takes one counter at random from Bag A and another counter at random from Bag B.
She adds the numbers on her two counters.
Find the probability that Blessy’s answer is more than 6
[3]
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15 Complete the boxes in this diagram.
4500
–10 –1
– 0.01
×10
×10 –4
[2]
16 Complete the multiplication grid.
×
8
0.2
…………..…
6.4
…………..…
0.3
…………..…
…………..…
[3]
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11
17 Rajiv is investigating the use of a leisure centre.
(a) Tick () to show if these are primary or secondary sources of information.
Primary Secondary
Rajiv gives questionnaires to people who use the leisure centre.
t
Rajiv reads a local newspaper article.
Rajiv looks at the leisure centre website.
[1]
(b) Here is one question from Rajiv’s questionnaire.
How many times did you use the leisure centre last month?
Once
2 or 3 times
4 or 5 times
More than 6 times
Tick one box.
Describe one error in this question.
[1]
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12
18 A dentist is investigating this question.
“Do people who use an electric toothbrush have healthier teeth than those
who use a normal toothbrush?”
She examines each patient’s teeth and gives the teeth a score.
Patients with lower scores have healthier teeth.
Her results are shown in the diagram.
Use a normal toothbrush
9
Use an electric toothbrush
7
7
5
0
5
6
7
8
8
9
9
8
5
4
2
0
1
0
0
1
3
4
5
5
8
5
5
4
3
0
2
0
0
2
3
4
5
5
6
6
5
3
2
0
3
1
2
6
8
0
4
sample size = 23
6
7
9
sample size = 27
Key: 0│3│1 represents a score of 30 for a patient using a normal toothbrush and
a score of 31 for a patient using an electric toothbrush
Work out an appropriate average for both groups.
Name of average used
Average score for patients who use a normal toothbrush
Average score for patients who use an electric toothbrush
Write a conclusion to the dentist’s question using this information.
[3]
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19 The diagram shows the sketch of a net of a triangular prism.
10 cm
6 cm
NOT TO
SCALE
8 cm
15 cm
Work out the total surface area of the prism.
cm2 [3]
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20 A tap fills a container with water at a rate of 0.25 litres per second.
It takes 7 12 minutes to fill the container from empty.
Work out the amount of water in the full container.
litres
[2]
21 (a) Write down the order of rotational symmetry of a parallelogram.
[1]
(b) Write down the number of lines of symmetry of a parallelogram.
[1]
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15
22 The diagram shows a triangle, A, and the line, y = x, drawn on a grid.
y
y=x
6
5
A
4
3
2
1
–7
–6
–5
–4
–3
–2
–1 0
–1
1
2
3
4
5
6
x
7
–2
–2
–3
–3
–4
–5
–6
Triangle A is reflected in the line y = x.
The new triangle is then reflected in the y-axis.
Describe fully the single transformation which maps triangle A to its final position.
[3]
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16
23 The graph of 2x + 4y = 15 is a straight line.
Work out the gradient of the line.
[1]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at
www.cie.org.uk after the live examination series.
Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local
Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint

1112/02
MATHEMATICS
Paper 2
October 2018
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Calculator
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
Calculator allowed.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 15 printed pages and 1 blank page.
IB18 10_1112_02/4RP
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2
1
Work out.
(6.5 + 3.2)(6.5 – 3.2)
[1]
2
Pierre buys 56 litres of fuel for $103.60
Carlos buys 40 litres of the same fuel.
Work out how much Carlos pays.
$
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3
3
The graph shows the temperature of a room at different times during one day.
21
20
Temperature
(°C)
19
18
17
08:00
10:00
12:00
14:00
Time
16:00
18:00
20:00
Work out the difference between the temperature at 11 am and at 5.30 pm.
C
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4
4
The graph shows the number of letters in 50 words from a page in a book.
12
10
8
Number of words
6
4
2
0
1
2
3
4
5
6
Number of letters
7
8
9
10
Write down
(a) how many more four-letter words there are than five-letter words,
[1]
(b) the largest number of letters in a word.
[1]
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5
5
Some units of measurement are shown in the box.
millimetres
kilometres
centimetres
metres
millilitres
kilograms
litres
grams
Choose the most appropriate unit from the box for each of these measurements.
The capacity of a spoon.
The mass of a piano.
The distance travelled in an aeroplane.
[2]
6
Mia chooses two of these numbers.
2
3
5
11
13
15
When she divides one number by the other the answer is 0.8 correct to one decimal place.
Work out which two numbers she chooses.
and
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6
7
Body mass index can be used to measure how healthy a person is.
Body mass index =
M
H2
M is mass in kilograms.
H is height in metres.
Yuri is 1.8 m tall and his mass is 64.8 kg.
Calculate Yuri’s body mass index.
[1]
8
Angelique has a fair six-sided dice.
(a) Find the probability of throwing a multiple of 3
[1]
(b) Angelique throws a different six-sided dice 120 times.
The table shows her results.
Score
1
2
3
4
5
6
Frequency
15
26
21
14
20
24
Work out the experimental probability of throwing a multiple of 3
[1]
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7
9
Trapezium ABCD is shown on the grid.
y
4
A
3
2
D
1
−2 −1
0
−1
1
2
3
−2
−3
4
5
6
7
8
x
C
B
−4
E is a point on line AB.
Angle AED = 90°
Mark E on the grid with a cross ().
[1]
10 Manjit sells ice cream.
On Monday,
80 men bought ice cream,
31 of these men chose chocolate flavour,
41% of the women who bought an ice cream chose chocolate flavour.
Tick () to show if men or women are more likely to choose chocolate flavour ice cream.
Men
Women
Show how you worked out your answer.
[2]
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8
11 The diagram shows a parallelogram.
All sides are measured in centimetres.
3x + 5
NOT TO
SCALE
x+2
(a) Write down an expression, in terms of x, for the perimeter of the parallelogram.
cm
[1]
cm
[3]
(b) The perimeter of the parallelogram is 62 cm.
Work out the length of the longest side of the parallelogram.
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12 Rotate shape Q by 90° clockwise about point C.
Q
C
[1]
13 In 2012 there are 600 members of a sports club.
In 2013 this increases to 744 members.
Work out the percentage increase in the number of members of the sports club.
% [2]
14 Tick () to show if each of these statements is true or false.
True
False
4328.418 rounded to 2 significant figures is 4328.42
21.87954 rounded to 3 decimal places is 21.88
7.568499 rounded to 3 decimal places is 7.568
0.004122 rounded to 4 significant figures is 0.004
[2]
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15 In the United States a person’s mass is given in pounds.
100 pounds = 45.4 kg
A woman’s mass is 63.6 kg
Convert this to pounds.
pounds
[2]
16 A museum opens three days each week, on a Monday, Tuesday and Saturday.
Hassam records the number of visitors on each day over a period of 20 weeks.
He calculates the mean and the range for each of the three days.
Monday
Tuesday
Saturday
Mean
512
625
753
Range
364
353
207
Write down the day of the week that gets the most visitors.
Give a reason for your answer.
because
[1]
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11
17 Solve the simultaneous equations using an algebraic method.
x + 2y = 13
3x + y = 24
You must show how you worked out your answers.
x=
y=
[3]
18 A has coordinates (2, ‒2).
B has coordinates (10, 14).
C is the midpoint of AB.
D is the midpoint of CB.
Find the coordinates of D.
(
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,
)
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12
19 (a) A sequence begins
14
17
20
23
Write down a formula for the nth term of this sequence.
[2]
(b) The nth term of a different sequence is given by the formula
n
2n  1
Write down the first three terms of the sequence.
,
,
[2]
20 Simplify.
x
x 1

4
8
[2]
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21 The equation x2 + 8x = 144 has a solution between x = 8 and x = 9
Use the method of trial and improvement to find the solution correct to one decimal place.
Show all your working in the table.
You may not need to use all the rows.
x
x2 + 8x
Comment
8
82 + 8 × 8 = 128
Too small
9
92 + 8 × 9 = 153
Too big
x=
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14
22 The diagram shows trapezium ABCD.
10 cm
B
127°
C
NOT TO
SCALE
113°
15 cm
13 cm
53°
67°
A
D
24 cm
ABCD is enlarged.
The centre of the enlargement is B and the scale factor is 3
Complete the sentences.
The length of the longest side of the enlargement of ABCD is
The size of the smallest angle of the enlargement of ABCD is
cm.
°
.
[1]
23 Shirts are made from a mix of cotton and polyester.
The ratio of cotton to polyester in two shirts is
Shirt A
Shirt B
cotton : polyester
13 : 7
3:2
By writing each ratio in the form c : 1, find which shirt contains the higher proportion of
cotton.
Shirt
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24 Here are the details of a flight from London to Hong Kong.
Depart: London
Arrive: Hong Kong
Flight time
20:20 local time
16:50 local time the next day
12 hours 30 minutes
The time in Hong Kong is a number of hours ahead of the time in London.
Work out the number of hours ahead.
hours
[1]
25 6 × 6 × 6a = 1
Work out the value of a.
a=
[1]
26 A farmer needs 10 grams of seed to plant one square metre of wheat.
The farmer wants to plant a field of 15 hectares.
Work out how many kilograms of seed he needs.
kg
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint

1112/01
MATHEMATICS
Paper 1
April 2017
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
NO CALCULATOR ALLOWED.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 15 printed pages and 1 blank page.
IB17 05_1112_01/5RP
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2
1
Work out angles a, b and c in the diagram.
NOT TO
SCALE
85°
32°
2
c
b
a
a=
° [1]
b=
° [1]
c=
° [1]
Mia, Lily, Mike, Jamila and Oliver each record the time they take to do their homework.
Mia takes t minutes.
The table gives information about the time the four other students take.
Complete the table.
Expression for
time (minutes)
Description
t + 20
Lily takes 20 minutes longer than Mia.
Mike takes twice as long as Mia.
Jamila takes 10 minutes less than Mia.
.
Oliver takes
t
2
[3]
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3
Ahmed has 10 tins in his cupboard.
Five contain soup, three contain peas and two contain beans.
Ahmed takes a tin from his cupboard without looking.
Four events are:
A
Ahmed picks a tin containing beans.
B
Ahmed picks a tin containing soup.
C
Ahmed picks a tin containing oranges.
D
Ahmed picks a tin containing peas.
Place arrows on the probability scale to show how likely each of the events is.
The first one has been done for you.
A
0
0.5
1
[2]
4
These cards show the heights of six plants.
86 cm
132 cm
1 m 6 cm
1.6 m
1 m 20 cm
1.15 m
Arrange the heights in order of size, starting with the tallest.
Two cards have been done for you.
132 cm
1.15 m
tallest
shortest
[1]
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5
The table and frequency diagram show some information about the number of customers
visiting a shop on each of the last 50 Mondays.
Number of
customers
10 – 14
Frequency
11
15 – 19
21
20 – 24
10
25 – 29
30 – 34
Total
50
Mondays
24
20
16
Frequency
12
8
4
0
10 – 14
15 – 19
20 – 24
25 – 29
30 – 34
Number of customers
(a) Use this information to complete the table.
[1]
(b) Complete the frequency diagram.
[1]
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5
(c) The number of customers using the shop on the last 50 Tuesdays is shown
in this frequency diagram.
Tuesdays
20
16
12
Frequency
8
4
0
10 – 14
15 – 19
20 – 24
25 – 29
30 – 34
Number of customers
Youssef says,
“The modal class is the same for the last 50 Mondays and Tuesdays.”
Tick () to show if Youssef is correct.
Yes
No
Explain your answer.
[1]
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6
6
The graph shows three straight lines A, B and C.
y
10
9
8
B
7
6
5
4
A
C
3
2
1
–1 0
–1
1
2
3
4
x
5
6
(a) Put a ring around the equation of line A.
x+5=0
x=5
y=5
y = 5x
[1]
(b) Write down the equation of line B.
[1]
(c) Tick () to show whether each of these facts about line C is true or false.
True
False
The point (2, 4) lies on line C.
The y-coordinate is always
two more than the x-coordinate.
The equation is y = 2x.
[1]
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7
The diagram shows a row of 7 triangles made from matches.
The number of matches needed to make a row of t triangles is given by the
expression 2t + 1
Work out the number of matches needed for a row of 36 triangles.
[1]
8
(a) Change
2
5
to a decimal.
[1]
(b) Write an integer in each box to make the statement true.
2
<
5
<
1
2
[1]
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8
9
Calculate 23.456 – 1.78
[1]
10 Use the information in the box to write down the value of each of the following.
27.6 × 4.1 = 113.16
(a) 2.76 × 4.1
[1]
(b) 113.16 ÷ 41
[1]
(c) 13.8 × 8.2
[1]
11 Find 12% of $34
$
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9
12 Angelique and Safia each go for a run.
The travel graph shows their runs.
6
Angelique
Safia
5
4
Distance from home (km) 3
2
1
0
0
10
20
30
40
50 60 70
Time (minutes)
80
90 100 110
(a) Angelique and Safia both stopped during their runs.
Work out how much longer Angelique stopped than Safia.
minutes [1]
(b) Complete the sentences.
runs the furthest distance.
She runs
km in total.
[1]
(c) Safia runs faster than Angelique.
Explain how the graph shows this.
[1]
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13 360 can be written as 2x × 3y × 5, where x and y are positive integers.
Work out the value of x and the value of y.
x=
y=
[2]
14 Chen throws two six-sided dice.
He records the difference between the two scores.
Complete this table showing the possible outcomes.
Second dice
6
5
4
3
2
1
0
5
4
3
2
1
0
1
4
3
2
1
0
1
3
2
1
0
1
2
1
0
1
1
0
1
1
2
5
3
4
5
6
First dice
[1]
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15 Write the missing number in each box.
(a)
0. 25
103
×
=
[1]
(b)
÷
10–1
=
25
[1]
16 Apples cost $1.85 per kilogram.
Work out the cost of 1.6 kilograms of apples.
$
[2]
17 The coordinates of point A are (1, 2) and the coordinates of point B are (–3, 4).
Find the midpoint of the line AB.
(
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,
)
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18 Write the missing numbers in the boxes.
[2]
19 A quadrilateral is shown on the grid.
y
10
8
6
4
2
–4
–2
0
2
4
6
8
10
x
–2
–4
–6
Enlarge the quadrilateral by scale factor 3, centre (10, 4).
[2]
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20 Draw lines to match the equal values.
5–1
0.125
5–2
0.2
2–3
0.25
3–2
4%
1
 
2
2
1
9
[2]
21 Aiko needs 20 litres of paint.
She mixes her paint using paint powder and water.
She uses these mixing instructions.
To make 200 ml of paint
mix 40 g of paint powder
with 120 ml of water
The paint powder comes in packets of 0.6 kg.
Work out how many packets of paint powder Aiko needs.
[3]
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22 Here are two rectangles.
y
8
7
A
6
5
4
B
3
2
1
–1 0
–1
1
2
3
4
5
6
7
8
x
(a) Give a description of the reflection that transforms rectangle A onto rectangle B.
[1]
(b) Give a description of a rotation that transforms rectangle A onto rectangle B.
[2]
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23 Put a ring around the calculations that have an answer greater than 42
42 × 0.17
42 × 3
42 ÷ 0.18
11
42 ÷
5
8
[1]
24 Complete this multiplication grid.
×
1.2
4
1
0.3
[2]
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint

1112/02
MATHEMATICS
Paper 2
April 2017
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Calculator
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
Calculator allowed.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 15 printed pages and 1 blank page.
IB17 05_1112_02/7RP
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2
1
Put a ring around the larger fraction in each pair.
3
4
or
7
10
5
8
or
13
20
2
3
or
6
10
[1]
2
(a) Expand the brackets.
4(t – 5)
[1]
(b) Here is a formula.
w = 2u + 7
Work out the value of w when u = 19
w=
3
[1]
Write the missing numbers in the boxes to make the statements correct.
(a) 50% of 60 =
(b)
3
of 60 =
4
© UCLES 2017
1
of
5
[1]
% of 50
[1]
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3
4
Rectangles A and B are identical.
Each has a perimeter of 40 cm.
They are put together to make a new rectangle.
A
B
NOT TO
SCALE
The perimeter of the new rectangle is 68 cm.
Work out the length and width of rectangle A.
5
length =
cm
width =
cm
[2]
A country has a total area of 40.8 million hectares.
28.4 million hectares is covered with forest.
Work out the percentage of the total area that is covered with forest.
Give your answer to one decimal place.
% [2]
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4
6
Safia is at a restaurant.
She wants to share the $246 bill equally between 7 people.
She uses a calculator to work out how to share the bill.
35.142857
246 7
C 6 7 8 9
x
MC
2 3 4 5
MR
. = 0 1 +
Safia says,
“Everyone needs to pay $35.14”
Tick () to show if Safia is correct.
Yes
No
Explain your answer.
[1]
7
Chen shares $165 between three friends.
The ratio he uses is
Blessy
1
:
:
Carlos
4
:
:
Gabriella
6
Work out how much Carlos receives.
$
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5
8
Yuri is investigating the hypothesis:
Girls are more likely to play a musical instrument than boys.
He collects data from 40 boys and 80 girls.
He finds that
 altogether 91 of the people asked play a musical instrument,
 20 of the girls do not play a musical instrument.
(a) Complete the table using this information.
Boys
Girls
Total
40
80
120
Play a musical
instrument
Do not play a musical
instrument
Total
[2]
(b) Complete the sentences.
The percentage of girls who play an instrument is
%.
The percentage of boys who play an instrument is
%.
Tick () to show if the data supports Yuri’s hypothesis.
Yes
No
[2]
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6
9
Show that 3 46 is less than 12.9
[1]
10 The cost of posting a parcel depends on its mass.
Mass of parcel
Cost
Up to 0.25 kg
$1.20
0.25 kg up to 0.5 kg
$2.15
0.5 kg up to 1 kg
$3.25
1 kg up to 2 kg
$4.70
2 kg and over
$6.35
Mike posts 7 bars of chocolate in a parcel.
Each bar has a mass of 0.14 kg.
The total mass of the packaging is 95 g.
Work out how much it will cost Mike to post his parcel.
You must show how you worked out your answer.
$
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11 A biased spinner has 6 sides.
1
6
5
2
4
3
The table shows the probabilities for some of the outcomes.
Outcome
1
2
Probability
0.3
0.15
3
4
5
6
0.28
The remaining three outcomes are equally likely.
Work out the probability that the spinner lands on 5
[2]
12 An adult lion is 1.21 metres tall.
A baby lion is 55 centimetres tall.
Write the ratio of the height of the adult lion to the height of the baby lion.
Give your answer in its simplest form.
:
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13 (a) Calculate the value of x  5x  4 when x = –3
[1]
(b) x  5x  4 = 286
Use trial and improvement to find the positive solution of this equation.
Show your trials in the table.
You may not need all the rows.
One value has been done for you.
x
x  5x  4
10
90
x=
[2]
(c) Expand and simplify x  5x  4
[2]
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14 A car travels 240 km in 3
3
4
hours.
Calculate the average speed of the car.
km/h [2]
15 Here are the times, in seconds, that 7 adults take to run a race.
40.8
46.3
49.2
38.2
44.0
42.9
45.5
Hassan calculates the mean time.
He writes,
“The mean time is 43.8428571 seconds.”
(a) Write a comment about the accuracy that Hassan uses in recording the answer.
[1]
(b) Write his answer to a more suitable degree of accuracy.
seconds [1]
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16 Anastasia owns a café.
She records the number of hot drinks and the number of cold drinks she sells on each of
10 days.
Number of
hot drinks
78
83
70
75
90
97
60
68
84
74
Number of
cold drinks
63
60
72
66
53
64
80
76
65
82
The data for the first 6 days has been plotted on the scatter graph.
90
80
70
Number of
cold drinks
60
50
40
50
60
70
80
90
100
Number of hot drinks
(a) Complete the scatter graph by plotting the data for the remaining 4 days.
[2]
(b) State the type of correlation shown on the scatter graph.
[1]
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17 The n th term of a sequence is 2n2 + 3
Work out the first three terms of this sequence.
,
,
[1]
18 The diagram shows a right-angled triangle with base x cm and height (x – 2) cm.
NOT TO
SCALE
(x – 2) cm
x cm
Write down an expression for the area of the triangle.
cm2
[1]
%
[2]
19 Rajiv buys a book for $2.50
He sells the book for $4.29
Calculate his percentage profit.
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20 (a) A point lies on the line 3x + 2y = 12
The x-coordinate of the point is 1
Work out the y-coordinate.
[2]
(b) Work out the coordinates of the point where the line 3x + 2y = 12 crosses the x-axis.
(
,
)
[1]
(c) Draw the graph of 3x + 2y = 12
y
8
7
6
5
4
3
2
1
–2
–1
0
1
2
3
4
5
6
7
8
x
–1
–2
[1]
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21 Complete the table to show the sum of the interior angles for different polygons.
Number of sides of
polygon
Sum of the interior
angles
5
540°
720°
9
[2]
22 Pierre walks 24 km due north then 7 km due east.
Calculate how far he is from his starting position.
km
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23 The diagram shows a garden ABCD.
A
B
2.5 m
NOT TO
SCALE
9m
3m
D
C
6m
The shaded area is covered with grass.
The area covered with grass is formed from two semicircles and a rectangle.
Calculate the area covered with grass.
m2
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24 The diagram shows a quadrilateral.
A teacher asks her class to show how the quadrilateral tessellates.
The work of two students is shown.
Mia’s work
Lily’s work
Lily has shown a tessellation of the quadrilateral.
Explain why Mia has not shown a tessellation of the quadrilateral.
[1]
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint

1112/01
MATHEMATICS
Paper 1
April 2016
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
NO CALCULATOR ALLOWED.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 20 printed pages.
IB16 05_1112_01/5RP
© UCLES 2016
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2
1
Fatima has a phone.
(a) The time on the phone is 17:23
Write this time using the 12-hour clock.
[1]
(b) Fatima starts a phone call at 18:32
The phone call finishes at 19:16
Work out the length of the phone call.
minutes [1]
2
Work out
(a) 11.28 – 2.843
[1]
(b) 16.8 × 7
[1]
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3
3
Draw a line to match each fraction to its equivalent percentage.
The first one has been done for you.
1
5
14%
3
20
15%
7
50
16%
4
25
20%
[1]
4
(a) Put a ring around the number that is divisible by 4
182
218
281
812
[1]
(b) Tick () to show whether each of these statements is true or false.
True
False
152 = 225
144 = 72
42 = 64
[1]
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4
5
Natasha is making a pattern using matchsticks.
The first three patterns are shown.
Pattern 1
Pattern 2
Pattern 3
Complete the table.
Pattern number
1
2
3
Number of matchsticks
5
8
11
4
8
[2]
6
Here are four number cards.
5
7
3
9
The four cards are arranged to make a 4-digit whole number.
Explain why this number must be divisible by 3
[1]
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5
7
(a) Work out
8×
1
3
Give your answer as a mixed number.
[1]
(b) Work out
6÷
2
3
Give your answer in its simplest form.
[1]
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6
8
The diagram shows triangle ABC.
y
4
3
2
1
–6
–5
–4
–3
–2
–1
0
–1
1
A
–2
2
C
3
4
5
6
x
B
–3
–4
(a) Write down the coordinates of B.
(
,
)
[1]
(
,
)
[1]
(b) Triangle ABC is reflected in the x-axis.
Write down the coordinates of the image of point A.
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9
Suki is exploring how the amount of sun affects the growth of three bean plants.
Each day she records the height of the plants.
30
28
26
24
22
20
Height
18
in cm
16
14
12
10
8
6
4
2
0
full sun
some sun
shade
1
2
3
4
5
6
7 8
Day
9 10 11 12 13 14
Key: full sun
some sun
shade
(a) On which day did the plant growing in the shade have a height of 8 cm?
Day
[1]
(b) Calculate the difference in the heights of the plants growing in full sun and in
some sun on day 14 of the experiment.
cm
[1]
(c) Write down a conclusion that Suki can make about how the amount of sun affects the
height of these bean plants.
[1]
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8
10 Find the sum of the first four negative integers.
[1]
11 The diagram shows a floor plan.
6m
10 m
NOT TO
SCALE
3m
11 m
Calculate the area.
m2
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12 Here is a mapping.
Input
Output
2
4
4
16
Look at the following functions.
Tick () the two functions that could represent the mapping.
x  6x – 8
x  2x
x  4x – 6
x  x2
[1]
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10
13 There are two cycle routes.
Blue route
7¼ km
Red route
10 km
(a) David is cycling the red route.
He has cycled 8
2
3
km.
How much further does he have to cycle?
km
[1]
km
[1]
(b) Sanjit is cycling the blue route.
He takes a break exactly halfway.
How many kilometres has he cycled at this point?
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11
14 The diagram shows a triangular tile.
NOT TO
SCALE
7 cm
7 cm
Draw a sketch to show how you would put four of these tiles together to make a square.
[1]
15 The diagram shows a 50 ml bottle.
Calculate how many litres of liquid are needed to fill 80 of these bottles.
litres [1]
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12
16 Write the number
874.591
(a) correct to 2 decimal places,
[1]
(b) correct to 2 significant figures.
[1]
17 A box contains a large number of coloured balls.
Each ball is coloured red or green or blue or yellow.
Anoush takes a ball at random from the box and records its colour.
She then puts the ball back into the box.
She does this 200 times.
The table shows some of her results.
Red
Green
Frequency
64
48
Relative frequency
0.32
Blue
Yellow
Total
200
0.16
1
Complete the table.
[2]
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13
18 The diagram shows the median family income and the median age of people in 20
countries.
50
45
40
Median age (years) 35
30
25
20
0
5000
10 000
15 000
20 000
25 000
30 000
Median family income (US dollars)
Does this diagram show a correlation between median age and median family income?
Yes
No
Give a reason for your answer.
[1]
19 Put one set of brackets in each calculation to make the answer correct.
(a) 4 + 9 × 6 – 4 = 22
[1]
(b) 24 ÷ 12 – 8 + 2 = 4
[1]
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14
20 The diagram shows a square with a perimeter of 20 cm.
NOT TO
SCALE
Eight of these squares fit together to make a rectangle.
NOT TO
SCALE
Work out the area of the rectangle.
cm2 [2]
21 Lemons cost $5.40 per kilogram.
Leyla buys 0.35 kg of lemons.
Calculate how much Leyla’s lemons will cost.
$
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15
22 The diagram shows a right-angled triangle.
Squares are drawn on each of the three sides.
NOT TO
SCALE
Square R
Square P
Square Q
Area of Square P = 17 cm2.
Area of Square R = 50 cm2.
Work out the area of Square Q.
cm2
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16
23 Write one of these symbols in each gap to make a true statement.
<
>
=
The first one has been done for you.
24
÷ 2
56
× 1.02
56
16 × 0.2
16
35 ÷ 0.55
35
 0.4
0.4
40
40
<
24
[2]
24
Tick () the graph of y = 2x – 1
y
y
6
6
4
4
2
2
0
5
10
x
–2
0
–2
y
10
5
10
x
y
6
6
4
4
2
2
0
5
5
10
x
–2
0
x
–2
[1]
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17
25 (a) Ami is 160 cm tall.
The ratio of Ami’s height to Nadia’s height is 8 : 7
Work out how many centimetres taller Ami is than Nadia.
cm [2]
(b) Ami has a mass of 72 kg.
Raphael has a mass of 108 kg.
Write Ami’s mass as a fraction of Raphael’s mass.
Give your answer in its simplest form.
[1]
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18
26 In the diagram AB is parallel to CD.
Triangle ACE is an isosceles triangle.
E
A
B
46°
C
y°
x°
NOT TO
SCALE
110°
D
Work out the values of x and y.
x=
y=
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19
27 (a) Here are four numbers.
0.02
0.2
2
20
Write these numbers in the boxes to make a correct calculation.
Each number should be used only once.
×
+
= 40
[1]
(b) Work out
One-half of two-thirds of three-quarters of four-fifths of 200
[1]
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20
28 The scale drawing shows the route for a cycling race, which starts and finishes at a point P.
The scale is 1 cm = 2 km.
North
North
North
Q
64°
Scale:
1 cm = 2 km
P
R
The line PQ on the drawing is 6.1 cm.
Complete the table to show the distance and the bearing for each stage of the route.
Stage 1: From P to Q
Stage 2: From Q to R
Stage 3: From R to P
Distance
Bearing
12.2
............... km
064
...............
............... km
...............
............... km
...............
[3]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at
www.cie.org.uk after the live examination series.
Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local
Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint

1112/02
MATHEMATICS
Paper 2
April 2016
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Calculator
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
Calculator allowed.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 15 printed pages and 1 blank page.
IB16 05_1112_02/3RP
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2
1
Write the mass shown on each scale.
(a)
4
6
8
2
10
0
12
kg
kg
[1]
g
[1]
(b)
40
60 80
0
0
0 12
20
10
g
2
Write these measurements in order, from smallest to largest.
30 cm
0.35 m
320 mm
smallest
28 cm
largest
[1]
3
There are 149 students in Hussein’s school.
A minibus can seat 16 students.
How many minibuses are needed to seat all the students?
minibuses
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3
4
Sam measures the lengths of lizards found living in two different areas.
The table shows his results.
Mean
Range
Area 1
16.4 cm
5.5 cm
Area 2
13.7 cm
6.8 cm
Tick () to show which box matches each statement.
True
False
Cannot
tell
Area 2 has longer lizards on average.
The lengths of lizards in Area 1 are less varied.
The longest of all the lizards found comes from Area 1
[2]
5
A triangular prism has 6 vertices, 5 faces and 9 edges.
A different prism has 12 vertices.
Find the number of edges.
edges [1]
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4
6
Nima takes the bus to work each morning.
Nima is planning an investigation to see how many passengers use her bus each day.
She designs this frequency table to record her data.
Number of passengers
Tally
1 to 8
9 to 16
17 to ..........
.......... to ..........
Complete the first column so that the intervals have equal class widths.
7
[2]
Kendra has b birds, c cats and r rabbits.
(a) The number of birds and cats are connected by the equation
c=b+3
Tick () the true statement.
Kendra has 3 more birds than cats.
Kendra has 3 more cats than birds.
Kendra has 1 cat and 3 birds.
Kendra has 3 birds and 1 cat.
[1]
(b) Kendra has twice as many rabbits as birds.
Write this information as an equation involving b and r.
[1]
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5
8
Jade has seven cards.
Each card is labelled with a letter.
A
C
D
F
G
H
J
Jade picks one of her cards at random.
Find the probability that the card she picks is
(a) labelled F,
[1]
(b) labelled with a letter that is in her name, JADE,
[1]
(c) labelled with a letter that has at least one line of symmetry.
[1]
9
(a) Solve the equation 5x – 3 = 52
x=
[1]
n=
[2]
(b) Solve the equation 6n + 3 = 2n + 31
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10 A farmer has 143 hectares of land.
62 hectares of this land is planted with vegetables.
Calculate the percentage of the farmer’s land that is planted with vegetables.
%
[1]
11 Yuri and Hassan take part in a 40 kilometre race.
40
35
30
25
Yuri
Hassan
Distance
20
(kilometres)
15
10
5
0
0
1
2
Time
(hours)
3
4
Work out the difference in the number of minutes that Yuri and Hassan take to run the
race.
minutes [1]
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7
12 Here are some number cards.
0
1
2
4
5
8
Use each card once to complete the equivalences.
=
0
.
4
=
%
5
[2]
13 Complete the table by writing the name of a quadrilateral that has the given property.
Write the name of a different quadrilateral each time.
The first row has been completed for you.
Property
Name of quadrilateral
All sides equal
Square
Two sets of parallel sides
Diagonals are equal in length
Rotational symmetry of order 2
[2]
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8
14 Simplify
(a) 3a × a
[1]
(b) 7 – 5a + 2 + 3a
[1]
15 (a) The values of x and y are directly proportional.
Complete the table by filling in the missing numbers.
x
3
y
96
30
128
[2]
(b) Find the equation connecting x and y.
[1]
16 Some information about the areas of two farms is shown in the table.
Complete the table.
Farm A
Area in hectares
Area in square metres
13.6
136 000
1 965 000
Farm B
[1]
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9
17 The first five terms of a sequence are
7,
10,
13,
16,
19,
……
(a) What is the nth term of the sequence?
[1]
(b) Work out the 1000th term of the sequence.
[1]
18 This stem-and-leaf diagram shows the ages of a football first team.
First team
9
Second team
8
6
1
4
3
3
1
2
8
5
3
2
3
4
Key
1
2
5
21 in first team
25 in second team
Here are the ages of the second team.
17
23
41
24
38
35
42
Complete the stem-and-leaf diagram.
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40
20
20
[2]
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10
19 Here is a function
x→x+6
The inverse of this function is
x→x–6
Write down the inverse of the function x 
x
4
x
[1]
20 The dimensions of the inside of a fish tank are 120 cm by 60 cm by 75 cm.
Work out the volume of the space inside the tank, in cubic metres.
m3
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11
21 The quantities x and y are in direct proportion.
When x = 5, y = 30
Choose from these cards to complete the sentence correctly.
increase
decrease
7.5
If x increases from 5 to 20 then y will
15
45
from 30 to
120
.
[1]
22 Put a ring around all the calculations that simplify to give 910
92 × 97 × 9
34 × 36
913 ÷ 93
920 ÷ 92
95 × 92
[2]
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12
23 (a) Factorise fully
18 – 12e
[1]
(b) Expand and simplify
4c – 7(2d + c)
[2]
24 Oliver travels 180 kilometres in 2
1
hours.
4
Work out his average speed.
Give your answer in kilometres per hour.
km/h
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13
25 Three lines are drawn on a graph.
y
70
60
50
40
30
20
10
−20
x
0
−10
10
20
30
40
50
60
70
−10
−20
Use the graph to solve simultaneously these two equations
x + y = 50
and
2x + y = 60
x=
y=
[1]
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14
26 Arrow A maps onto arrow B using a single transformation.
y
11
10
9
B
8
7
6
A
5
4
3
2
1
0
1
2
3
4
5
6
7
8
9 10 11
x
Describe this transformation fully.
[3]
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15
27 Angelina, Lotte and Manuel all buy petrol.
They all pay the same price per litre.
Angelina buys 18.5 litres of petrol and pays $27.01
Lotte pays $40.15 for her petrol.
Manuel buys 28.3 litres of petrol.
Who buys more petrol, Lotte or Manuel?
Lotte
Manuel
Show how you worked out your answer.
[2]
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint

1112/01
MATHEMATICS
Paper 1
October 2016
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
NO CALCULATOR ALLOWED.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 16 printed pages.
IB16 10_1112_01/6RP
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2
1
Here is a formula.
y = 8x
Use this to calculate
(a) y when x = 30
y=
[1]
x=
[1]
(b) x when y = 56
2
Draw a line to match each description to one shape.
The first one has been done for you.
one reflex angle and four sides
Rectangle
two equal sides and one unequal side
Quadrilateral
four equal angles
Pentagon
five angles
Isosceles triangle
six sides
Hexagon
[1]
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3
3
The sum of the three numbers on each side of the triangle equals 100
Use the numbers 50, 59, 26, 24 and 15 to complete the diagram.
Write one number in each box.
35
[2]
4
(a) Complete these calculations.
0.64
×
=
640
6400
÷
=
64
=
6.4
×
100
[2]
(b) Write down in words the value of the digit 4 in each of these numbers.
The first one has been done for you.
Number
Value of digit 4
249.6
4 tens
0.487
4
0.0248
4
[1]
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4
5
The grid shows the positions of three points A, B and C.
y
6
A
5
4
3
2
B
1
−4 −3 −2 −1 0
−1
1
2
3
4
5
6
x
−2
−3
C
−4
(a) Write down the coordinates of C.
(
,
)
[1]
(b) ABCD is a rhombus.
Plot the position of point D on the grid.
[1]
6
Complete these statements.
(a) 35% of 60 =
(b) 25% of
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= 20
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5
7
Bobbie scores m marks in a test.
(a) Dan scores two marks less than Bobbie.
Write down an expression for Dan’s mark in terms of m.
[1]
(b) Georgia scores three times as many marks as Bobbie.
Write down an expression for Georgia’s mark in terms of m.
[1]
8
(a) A bottle contains 250 millilitres of lemonade.
Work out how many litres of lemonade there are in 6 of these bottles.
litres
[1]
(b) Jenny has a suitcase with a mass of 18.1 kg and a handbag with a mass of 800 g.
Work out the total mass of Jenny’s suitcase and handbag in kilograms.
kilograms
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6
9
Work out the lowest common multiple of 6 and 10
[1]
10 The diagram shows the net of a cuboid.
The areas of some of its faces are shown.
NOT TO SCALE
2
cm
2
cm
2
24 cm
2
32 cm
2
cm
cm
cm
12 cm2
cm
The side lengths of the cuboid are all whole numbers.
Complete the diagram to show the missing side lengths of the cuboid and the areas of the
other faces.
[3]
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7
11 The graph shows Sophia’s journey from Santiago to Rancagua.
100
90
80
70
Distance from Santiago 60
(kilometres)
50
40
30
20
10
0
1 pm
2 pm
3 pm
4 pm
5 pm
6 pm
Time
Chen travels the reverse journey from Rancagua to Santiago.
He leaves Rancagua at 2.30 pm and arrives at Santiago at 5.15 pm.
He travels at a constant speed.
(a) Draw a line on the graph to show Chen’s journey.
[1]
(b) Write down the distance they were from Santiago when they passed each other.
kilometres
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8
12 Work out
2.55 × 3.6
[2]
13 The exterior angle of a regular polygon is 72°.
Work out the number of sides of this polygon.
[1]
14 One of these statements is wrong.
Put a cross (×) next to the statement that is wrong.
48 ÷ 20 = 48 ÷ 2 ÷ 10
48 ÷ 20 = 48 × 5 ÷ 100
48 ÷ 20 = 20 ÷ 48
48 ÷ 20 = 48 ÷ (4 × 5)
[1]
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15 Work out
2 
5

 3  1  
3 
7

[2]
16 Complete the table by ticking () the correct column for each measurement.
Less than 1 litre
Equal to 1 litre
More than 1 litre
1400 millilitres
1000 cm3
100 000 mm3
[2]
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10
17 (a) The diagrams show the plan and elevations for a 3D shape.
plan
front elevation
side elevation
Tick () which 3D shape the plan and elevations show.
[1]
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11
(b) Here is a drawing of a cuboid measuring 2 cm by 4 cm by 6 cm.
A different cuboid measures 2 cm by 3 cm by 5 cm.
Draw this cuboid on the isometric paper below.
[1]
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12
18 A shape is made from 6 cubes.
Write down the number of planes of symmetry for this shape.
[1]
19 Calculate
(a)
34  19  36  19
35
[2]
(b)
54 2
27
[2]
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20 The graph shows the line with equation 2y = 3x – 1
y
8
7
6
5
4
3
2
1
−4
−3
−2
−1
0
x
1
2
3
4
5
6
7
8
−1
−2
−3
−4
(a) Find the gradient of the line.
[1]
(b) Draw the line x + 2y = 7 on the grid.
[2]
(c) Use your answer from part (b) to solve the simultaneous equations
2y = 3x – 1
x + 2y = 7
x=
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y=
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14
21 A restaurant manager records the time (in minutes) that customers wait for their food to be
served.
The back to back stem-and-leaf diagram shows his results for customers eating at
lunchtime and in the evening.
Lunchtime
9
8
6
5
5
5
Evening
9
2
3
8
1
2
8
0
1
2
0
1
2
3
4
9
2
0
1
0
4
1
3
1
5
4
5
5
6
6
7
7
8
7
9
8
8
9
Key: 2 3 1 represents 32 minutes at lunchtime and 31 minutes in the evening.
Some summary information about these times is shown in the table.
Lunchtime
Median time (minutes)
Range (minutes)
Evening
21
24
(a) Complete the table.
[2]
(b) Tick () to show when waiting times were generally longer.
At lunchtime
In the evening
Explain how you can tell from the values in your table.
[1]
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15
(c) Tick () to show when waiting times were more spread out.
At lunchtime
In the evening
Explain how you can tell from the values in your table.
[1]
22 Hassan is investigating how long it takes people to travel to work.
He designs a data collection sheet.
The first column is shown here.
Time (t minutes)
0 < t ≤
< t ≤
< t ≤
< t ≤ 60
Write the missing values so that all intervals have equal width.
[1]
23 Write the correct fraction in the box.
×
3
4
=
1
2
+
1
6
[2]
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16
24 The diagram shows a triangle drawn on a grid.
y
12
11
10
9
8
7
6
5
4
3
2
1
0
1
2
3
4
5
6
7
8
Enlarge the triangle with scale factor 3 and centre (5, 4).
9
10
11
12
x
[2]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at
www.cie.org.uk after the live examination series.
Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local
Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
© UCLES 2016
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint

1112/02
MATHEMATICS
Paper 2
October 2016
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Calculator
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
Calculator allowed.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 20 printed pages.
IB16 10_1112_02/6RP
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2
1
Write the missing numbers in these ratios.
(a) 45 : 60 =
(b) 14 :
2
:4
[1]
= 2:5
[1]
The diagram shows a probability scale.
A
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Write the letters for the probabilities of these events on the probability scale.
The first one has been done for you.
A – The probability of a new baby being a boy.
B – The probability of picking a blue pen from a box containing 2 black pens and 8 blue pens.
C – The probability of rolling a 7 on a dice with faces numbered 1 to 6
D – The probability of picking the letter M at random from the letters in the word GAME.
[1]
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3
3
The diagram shows 8 points labelled A to H.
y
6
C
5
B
4 A
D
3
E
2
H
G
1
F
x
0
1
2
3
4
6
5
(a) Put a ring around the two points that the line y = 4 passes through.
A
B
C
D
E
F
G
H
[1]
(b) Write down the equation of the line that passes through the points C and G.
[1]
4
Here is a calculation.
109 ÷ 15 = 7 remainder 4
Put a ring around the correct fraction for the answer to this calculation.
7
4
7
4
109
15
4
7
7
4
15
7 4
7
[1]
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4
5
Translate the triangle one square right and three squares down.
[1]
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5
6
This graph shows some input and output values for a number machine.
10
9
8
7
6
Output
5
4
3
2
1
0
0
1
2
3
4
5
6
Input
Complete the number machine.
Input
Output
[1]
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6
7
Manjit wants to carry out a survey to find out what students in her school like to do in their
spare time.
She designs a questionnaire.
Here is one of the questions on her questionnaire.
What do you like to do in your spare time?
Tick () one box.
Read
Play sport
Write down one problem with this question.
[1]
8
Mia and Paul are looking at the same whole number.
To the nearest
thousand it is 44 000
To the nearest ten
it is 44 000
They are both correct.
Write down one possible value of the number.
[1]
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7
9
A bag contains black, grey and spotty beads.
Key
black
grey
spotty
A bead is picked at random from this bag without looking.
(a) Write down the probability of not picking a black bead.
[1]
(b) Write down the probability that the bead is black or spotty.
[1]
10 The population of a country is 39 634 274
Write this number correct to the nearest million.
[1]
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8
11 The pie charts show the colours of men’s coats and women’s coats sold in a shop last
Thursday.
Men’s coats
Women’s coats
Other
Other
Blue
Black
Black
Blue
Brown
Brown
Total: 76 coats sold
Total: 108 coats sold
Ahmed says,
Last Thursday the shop sold more women’s black coats than men’s black coats.
Tick () to show if Ahmed is correct.
Yes
No
Cannot tell
Give a reason to explain your answer.
[1]
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9
12 The graph shows the number of hours of sunshine for six days in November.
The column for 10-Nov is missing.
9
8
7
6
5
Hours
of sunshine 4
3
2
1
0
06-Nov
07-Nov
08-Nov
09-Nov
10-Nov
11-Nov
Date
The mean number of hours of sunshine for the six days is 4.5
Calculate how many hours of sunshine there were on 10-Nov.
hours
[2]
badges
[2]
13 Mario, Franco and Gina share 153 badges in the ratio 2 : 3 : 4
Work out how many badges Mario gets.
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10
14 Raj has a present to wrap.
He has a choice of 3 colours of wrapping paper: blue, red or green.
He has a choice of 2 colours of ribbon: yellow or green.
Raj chooses the wrapping paper and the ribbon at random.
(a) Complete the table to show all the possible colour combinations.
You may not need all the rows in the table.
Wrapping paper
Ribbon
Blue
Yellow
Blue
Green
[1]
(b) Write down the probability that the ribbon is the same colour as the wrapping paper.
[1]
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11
15 Simplify
(a) t × t × t × t
[1]
(b) 3r – r2 + 5r + 3r2
[2]
16 Tick () all the correct statements about the number 6
6 is a multiple of 12
6 is a factor of 18
6 is a prime factor of 30
6 is a common factor of 42 and 60
6 is the highest common factor of 24 and 36
[2]
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12
17 The diagram shows a triangular prism.
2.5 cm
NOT TO
SCALE
1.5 cm
3 cm
2 cm
Draw accurately a net of this prism.
The base has been drawn for you.
[2]
18 Sandra takes an 80-mile train journey from Wellington to Palmerston North.
Change this distance to kilometres.
kilometres
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13
19 Write as a single fraction.
(a)
2 7 1
+ –
x
x x
[1]
(b)
1
t
+
2 m
[2]
20 Gemma can pay for a book in dollars ($) or in euros (€).
$8.10
€5.70
Gemma wants to pay the lowest amount for the book.
The exchange rate is $1 = €0.72
Work out which currency Gemma should use.
Dollars
Euros
You must show your working.
[2]
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14
21 (a) Here is a relationship involving powers of 7
7 x  7 y  78
x and y are positive whole numbers each greater than 1
Write down one possible pair of values for x and y.
x=
y=
[1]
(b) Here is another relationship involving powers of 5
5m  5n  54
m and n are positive whole numbers each greater than 1
Write down one possible pair of values for m and n.
m=
n=
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15
22 This table shows the mass of a child at different ages.
Age
5
6
7
8
Mass in kilograms
18.3
20.3
22.6
25.3
(a) From age 8 to age 9 the child’s mass increases by 12%.
Calculate the mass at age 9
kg [1]
(b) Calculate the percentage increase in mass from age 5 to age 8
%
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16
23 40 children are in a running club.
They run a 400-metre race in April and again in July.
Their running times are shown in the frequency diagrams.
April
14
12
10
Frequency 8
6
4
2
0
60
65
70
75
80
Time (seconds)
85
90
85
90
July
14
12
10
Frequency 8
6
4
2
0
60
65
70
75
80
Time (seconds)
Put a ring around the month in which the children run the race more quickly.
April
July
Give a reason for your answer.
[1]
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17
24 Bilal wishes to travel from Eastport to Gordonton.
He can choose between two routes.
Route A: Direct route
Route B: Going through Timpton
The distances for each route are shown on the diagram.
NOT TO
SCALE
Eastport
90 km
48 km
Timpton
Key:
Gordonton
72 km
Route A
Route B
If he travels on Route A, he can travel at an average speed of 40 kilometres per hour.
If he travels on Route B, he can travel at an average speed of 50 kilometres per hour.
Work out the difference, in minutes, between the journey times using the two routes.
minutes
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18
25 Find the first 4 terms of these sequences.
(a) The position-to-term rule is multiply by 2 then add 3
[1]
(b) The third term is 17, the term-to-term rule is add 5
[1]
26 A farmer wants to sow seed on a field with an area of 120 000 square metres.
He needs 10 grams of seed per square metre of field.
One kilogram of seed costs $0.40
Work out the cost of the seed that the farmer needs.
$
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19
27 The graph shows the cost of gold in dollars.
C
250
200
Cost of gold
(dollars)
150
100
50
0
0
1
2
3
4
5
G
Mass of gold (grams)
Use the graph to find a formula for the cost in dollars, C, of G grams of gold.
C=
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20
28 Describe fully the single transformation that maps triangle A onto triangle B.
y
5
4
3
2
A
1
B
–3
–2
–1
0
1
2
x
3
4
5
–1
–2
–3
[3]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at
www.cie.org.uk after the live examination series.
Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local
Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
© UCLES 2016
1112/02/O/N/16
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Combined By NESRINE
Cambridge International Examinations
Cambridge Secondary 1 Checkpoint
*9469978289*
MATHEMATICS
1112/01
October 2015
Paper 1
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
NO CALCULATOR ALLOWED.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 14 printed pages and 2 blank pages.
IB15 10_1112_01/5RP
© UCLES 2015
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2
1
The timetable shows the times of five buses.
Oldfield
Newton
Arden
Wiley
16 00
16 21
16 39
16 57
16 20
16 41
16 51
17 17
16 35
16 56
17 14
17 32
16 50
17 11
17 21
17 47
17 05
17 26
17 44
18 02
(a) Write down the time when the second of these buses leaves Newton.
[1]
(b) Karl arrives at the bus stop in Arden at 16 55
Work out how long he waits for the next bus.
[1]
2
Jerome has 6 number cards.
49
51
53
55
57
59
(a) Which two of Jerome’s numbers are prime numbers?
and
[1]
(b) Explain why 51 is not a prime number.
[1]
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3
3
(a) Plot points A (3, –1), B (3, 3) and C (– 4, 2).
y
6
5
4
3
2
1
–6
–5
–4
–3
–2
–1
0
1
2
3
4
5
6
x
–1
–2
–3
–4
–5
–6
[1]
(b) ABCD is a parallelogram.
Write down the coordinates of point D.
D(
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,
)
[1]
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4
4
Put a ring around all the fractions that are equivalent to 0.35
3
5
7
20
1
3
35
100
35
10
1
35
[2]
5
The diagram shows a sketch of a triangle.
NOT TO
SCALE
7.2 cm
34°
6.5 cm
Draw this triangle accurately in the space below.
One line has been drawn for you.
6.5 cm
[2]
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5
6
(a) Work out 18.6 × 7
[1]
(b) Work out 177 ÷ 20
Give your answer as a mixed number.
[1]
7
Sarah draws a pie chart to show the time she spends on different activities one day.
Here is the table she uses.
Activity
sleep
school
travel
eat
Hours
12
5
1
2
Pie chart
angle
180°
30°
play
60°
Complete the table.
[1]
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6
8
Draw a line to match each calculation to its answer.
0.07
0.7 × 10
0.7
70 × 0.01
7
7 ÷ 0.01
70
7 ÷ 0.1
700
[2]
9
Here is a formula.
a = 2b − c
Find the value of a when
(a)
b = 11 and c = 3
[1]
(b)
b = 12 and c = −4
[1]
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7
10 A boy spends
1
4
of his money on sweets and
1
3
on computer games.
What fraction of his money does he not spend?
[1]
11 Here is a list of eight commonly used units.
mm
cm
m
km
cm2
m2
cm3
m3
Choose from the list the most suitable unit to complete each of the following sentences.
The height of a flag pole is measured in
The volume of water in a swimming pool is measured in
The area of a football pitch is measured in
The amount your fingernail grows in length in one month is
measured in
[2]
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8
12 (a) Express each of these functions using symbols.
The first one has been done for you.
In words
In symbols
Subtract 5
x→
Divide by 7
x→
Multiply by 2 and then add 1
x→
x–5
[1]
(b) Another function is given by
x → 4( x + 3)
Fill in the gaps to express this function in words.
and then
[1]
13 Usain runs 5 km in 30 minutes.
How many minutes does it take him to run 8 km at the same speed?
minutes [2]
14 Write down the nth term for the following sequences.
(a) 4, 8, 12, 16, 20…
[1]
(b) 7, 10, 13, 16, 19…
[2]
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15 A teacher wrote this sum on the board.
$9.61 + $0.39 + $2.71 + $5.28 + $7.29 + $4.72
She said,
Tell me a quick way to
work this out without
using a calculator
Explain how to do this.
[1]
16 Work out
3
9
÷
4
10
Give your answer as a fraction in its simplest form.
[2]
17 Solve the equation.
3(3 – 2x) = 2x – 11
x=
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10
18 Write down the whole number that is the best estimate for
(a)
124
[1]
(b) 3 124
[1]
19 Show the inequality x > 3 on the number line.
−5 −4
−3
−2 −1
0
1
2
3
4
5
[1]
20 One US dollar is equivalent to 7.76 Hong Kong dollars.
Work out how many Hong Kong dollars are equivalent to 500 US dollars.
Hong Kong dollars
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11
21 The diagram shows two straight lines, ABC and EDC.
A
NOT TO
SCALE
c°
E
b°
B
116° a°
D
C
BC = DC
DB = DE
Angle EDB = 116°
Work out the values of a, b and c.
a=
b=
c=
[3]
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12
22 The diagram shows two quadrilaterals, Q and R, on a grid.
y
10
9
8
R
7
6
5
4
Q
3
2
1
–2 –1 0
–1
1
2
3
4
5
6
7
8
9 10 x
–2
Describe fully the transformation that maps quadrilateral Q onto quadrilateral R.
[2]
23 Work out
7.2 ÷ 0.15
[1]
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13
24 Nesreen wants to find out how often people in her town visit the cinema.
She collects data from 10 people standing in a queue outside a cinema.
Write down two reasons why the data she collects may not be reliable.
Reason 1
Reason 2
[2]
25 A girl goes on a bike ride for four hours.
The graph shows her journey.
50
40
Distance (km)
30
20
10
0
0
1
2
3
4
Time (h)
Find her average speed for the whole journey.
[2]
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14
26 Syed has a six-sided dice.
His dice is numbered 1, 2, 3, 4, 5 and 6
He throws the dice 300 times.
Syed gets a ‘five’ 90 times.
Work out the relative frequency of throwing a ‘five’.
[1]
27 x and y are positive numbers.
Here are some statements.
A
x×y>0
B
x×y<x
D
x÷y<0
C
x÷y<y
Write the letter of each statement in the correct column in the table to show whether it is
Always true
or
Sometimes true
or
Never true
The first one has been put in for you.
Always true
Sometimes true
Never true
A
[2]
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Cambridge International Examinations
Cambridge Secondary 1 Checkpoint
*0529120111*
MATHEMATICS
1112/02
October 2015
Paper 2
1 hour
Candidates answer on the Question Paper.
Additional Materials:
Calculator
Geometrical instruments
Tracing paper (optional)
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use an HB pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
Calculator allowed.
You should show all your working in the booklet.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total number of marks for this paper is 50.
This document consists of 19 printed pages and 1 blank page.
IB15 10_1112_02/4RP
© UCLES 2015
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471/489
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2
1
Karim does a survey of the number of people in cars passing his house in the morning.
He does this on Monday and on Saturday.
The charts show the results.
Monday
30
20
Frequency
10
0
1
2
3
4
5
Number of people
6
Saturday
30
20
Frequency
10
0
1
2
3
4
5
Number of people
6
Tick () the box to show which day has the larger mode.
Monday
Saturday
They are the same
Give a reason for your answer.
[1]
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3
2
Enid uses a term-to-term rule to work out a sequence.
Here are the first four terms.
23
29
35
41
(a) Write down the term-to-term rule.
[1]
(b) Work out the 11th term of the sequence.
11th term =
3
[1]
Rosie is filling up her bath.
She starts by turning on just the cold tap.
After a while she also turns on the hot tap.
Put a ring around the graph that best shows the depth of water in Rosie’s bath.
Depth of
water
Depth of
water
Time
Depth of
water
Time
Depth of
water
Time
Time
[1]
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4
4
The length of a nail rounded to one decimal place is 6.9 cm.
Write down the shortest possible length that the nail could be.
cm
5
[1]
A fruit bowl contains apples, bananas and oranges.
The number of each type of fruit is shown in the table.
Type of fruit
Apple
Banana
Orange
Number
2
6
4
Tori takes a piece of fruit from the bowl at random.
Draw an arrow to place each of the following events on the probability scale.
Event E:
Tori takes out a banana
Event F:
Tori takes out an orange
Event G:
Tori does not take out an apple
Event H:
Tori takes out a strawberry
The first one has been done for you.
0
1
E
[2]
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5
6
(a) Simplify
3y + 7 + 2y + 1
[1]
(b) Expand the brackets
6(2w + 5)
[1]
7
Amin and Cara take a maths test.
Amin scores 40 marks and Cara scores 60 marks.
(a) Write the ratio of Amin to Cara’s marks as simply as possible.
:
[1]
(b) They are given $20 to share between them.
They share the money in the ratio of their marks.
How much does Amin receive?
$
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6
8
This chart shows the time the students in three classes took to complete their homework.
Time to complete homework
100%
90%
80%
Key
70%
more than
1 hour
60%
Percentage
of students
between 30
minutes and
1 hour
50%
40%
less than 30
minutes
30%
20%
10%
0%
Class
X
Class
Y
Class
Z
Find the percentage of students in Class X that took more than 1 hour.
%
9
Put a ring around the calculation with the largest answer.
2
of 410
5
38% of 420
Show how you know.
[2]
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10 A circle has a diameter of 8.6 cm.
NOT TO
SCALE
8.6 cm
Calculate the circumference of the circle.
cm
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8
11 Kofi has 20 snakes.
The lengths in metres of his snakes are
1.07
0.63
0.78
1.12
1.89
2.07
2.64
2.93
0.55
1.40
1.43
3.15
2.51
2.83
3.27
1.62
2.18
2.90
1.79
1.52
(a) Complete the frequency table for the lengths.
The first two rows have been done for you.
Length, l (metres)
Tally
Frequency
0≤l<1
3
1≤l<2
8
2≤l<3
3≤l<4
[1]
(b) Draw a frequency diagram to show the lengths of Kofi’s snakes.
The first bar has been drawn for you.
10
9
8
7
6
Frequency
5
4
3
2
1
0
0
1
2
Length (metres)
3
4
[1]
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9
(c) Liam also keeps snakes.
The lengths of his snakes are shown in the frequency diagram.
10
9
8
7
6
Frequency 5
4
3
2
1
0
0
1
2
3
Length (metres)
4
5
Tick () to show whether each of these statements is true or false.
Liam’s longest snake is longer than Kofi’s longest snake.
True
False
The modal class for the length of Liam’s snakes is the same as the modal class for the
length of Kofi’s snakes.
True
False
[1]
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10
12 Here are the names of 5 shapes.
A
B
C
D
E
rectangle
pentagon
kite
parallelogram
square
The diagram can be used to sort these shapes.
A, B, C, D, E
Does it have exactly
4 sides?
No
B
Yes
Does it
have two pairs
of parallel sides?
No
Yes
Does it have 4
equal angles?
No
Yes
Are the diagonals
perpendicular?
No
Yes
Complete the diagram by writing one of A, B, C, D or E in each gap.
B has been done for you.
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13 Jack says,
I think of a number, n, subtract 5,
then divide by 7
Write an expression for the result in terms of n.
[1]
14 In a 1.65 hectare area of land, 26% is covered by buildings.
Calculate the area of land, in hectares, covered by buildings.
hectares
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12
15 A and B are points with coordinates (–2, 5) and (6, –7).
NOT TO
SCALE
y
A (–2, 5)
x
O
B (6, –7)
M is the midpoint of the line joining A to B.
Work out the coordinates of M.
(
,
)
[2]
16 Round each of these numbers correct to 2 significant figures.
17 865.2 =
0.006047 =
[2]
17 Write as a single power of 3
9 × 35
[1]
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18 Calculate the volume of the prism.
NOT TO
SCALE
8 cm
3 cm
7 cm
5 cm
13 cm
cm3
[3]
19 Write the missing number in the box.
40.4 7 =
35
[1]
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20 The diagram shows three scatter graphs.
Graph A
Mass
(kg)
Graph B
Graph C
Mass
(kg)
Mass
(kg)
Age (months)
Age (months)
Age (months)
(a) Describe the type of correlation shown in Graph C.
correlation
[1]
(b) One of the scatter graphs shows the masses of 8 babies plotted against their ages.
Put a ring around this scatter graph.
Graph A
Graph B
Graph C
Give a reason for your answer.
[1]
21 Write the missing number in the box.
x
x
+
4x
=
3
9
[1]
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15
22 Three containers are shown.
2l
jug
cylinder
cuboid
The capacity of the jug is 2 litres.
The cylinder has a radius 5 cm and height 15 cm.
The cuboid has width 12 cm, length 15 cm and height 8 cm.
Put the containers in order of their capacities from smallest to largest.
Show your working.
Volume of a cylinder = πr2h
Smallest
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23 The graph of y = x – 3 is drawn on the grid.
y
12
10
8
6
4
2
−4
−3
−2
−1
0
1
2
3
4
x
−2
−4
y = x–3
−6
(a) Draw the line 2x + y = 3 on the grid.
[2]
(b) Use your answer to part (a) to solve the simultaneous equations.
y=x–3
2x + y = 3
x=
y=
[1]
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24 Hari buys 38.5 litres of petrol.
He pays $54.67
Josie buys the same type of petrol and pays $80.00
Calculate how many litres Josie buys.
litres
[2]
25 (a) The probability that a hockey team will draw its next match is 0.1
The probability the team will win is twice the probability it will lose.
Work out the probability the team will win.
[1]
(b) This table shows the results of two handball teams in recent matches.
Win
Lose
Draw
Team A
7
5
4
Team B
9
12
7
Which team has a better winning record?
Put a tick () in the correct box.
Team A
Team B
Both the same
Give a reason for your answer.
[1]
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26 The diagram shows the positions of a bridge, a tower and a station.
Station
NOT TO
SCALE
50°
70°
Tower
60°
Bridge
The station is due north of the bridge.
(a) Write down the bearing of the tower from the bridge.
Bearing =
°
[1]
Bearing =
°
[1]
(b) Work out the bearing of the station from the tower.
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27 Nadia is organising a party.
She wants to buy 18 litres of orange juice.
She can buy it from her local shop or from the supermarket.
Local shop
Supermarket
1lit
re
1lit
re
e
1litr
e
1litr
$2.48
$2.10
Her local shop offers her a discount of 12.5% off the total price if she buys 12 or more
cartons.
She wants to buy the orange juice from just one shop.
Work out which shop is cheaper, and by how much.
is cheaper by
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$
[3]