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
© UCLES 2022
[Turn over
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
2
1
2
3
4
5
6 x
[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
© UCLES 2022
1112/01/A/M/22
[1]
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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1112/01/A/M/22
[Turn over
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]
© UCLES 2022
1112/01/A/M/22
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
© UCLES 2022
ranges
.
1112/01/A/M/22
[1]
[Turn over
6
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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1112/01/A/M/22
7
12 Triangle B is drawn on the grid.
y
6
5
4
3
2
1
–6
–5
–4
–3
–2
–1
0
–1
–2
–3
1
2
3
4
5
6
x
B
–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.
© UCLES 2022
[2]
1112/01/A/M/22
[Turn over
8
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]
© UCLES 2022
1112/01/A/M/22
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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1112/01/A/M/22
[1]
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10
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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1112/01/A/M/22
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12
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=
© UCLES 2022
1112/01/A/M/22
[3]
13
24 Calculate.
(a) 4.52 × 22
[2]
(b)
28 × 16 + 14 × 16
14
[2]
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[Turn over
14
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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15
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]
© UCLES 2022
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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.
© UCLES 2022
1112/01/A/M/22
Mathematics
Stage 8
Paper 1
2022
1 hour
Additional materials: Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
• Answer all questions.
• Write your answer to each question in the space provided.
• You should show all your working on the question paper.
• 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 [ ].
3142_01_5RP
© UCLES 2022
2
1
The probability Naomi will win her tennis match is 0.3
Find the probability Naomi will not win her tennis match.
[1]
2
Write a number in each box to make each statement correct.
8 =
8 ÷ 8 = 8
3
[2]
Work out.
3 − 64
[1]
4
32 km = x miles, correct to the nearest mile.
Work out the value of x.
x=
© UCLES 2022
M/S8/01
[1]
3
5
Write this ratio in its simplest form.
0.2 m : 17 cm
:
6
[1]
Work out.
6  4 1
×
−
7  5 3 
Give your answer as a fraction in its simplest form.
[2]
7
The diagram shows a right-angled triangle.
Two of the vertices are at (34, 28) and (20, 0).
y
(34, 28)
NOT TO
SCALE
C
0
(20, 0)
A
x
B
The midpoints of the sides of the triangle are A, B and C.
Find the coordinates of A, B and C.
A=(
,
)
B=(
,
)
C=(
,
)
[2]
© UCLES 2022
M/S8/01
[Turn over
4
8
Here is a diagram of a circle, centre C, with a chord AB.
B
A
C
Write these lengths in order of size, starting with the shortest.
circumference
chord AB
diameter
shortest
radius
longest
[1]
9
Find the value of each expression when e = –5, f = 7, g = 3
e (f – g)
(f + g)2
3e2 – 4
[3]
© UCLES 2022
M/S8/01
5
10 Draw a ring around each inequality that is equivalent to x > 5
x–1>4
5>x
2x > 10
x≥4
5<x
[1]
11 The quadrilateral ABCD is drawn on the grid and point E is (4, 0).
y
5
4 B
C
3
A
2
1
E
–5 – 4 –3 –2 –1 0
–1
1
2
3 4
5
x
–2
–3
–4
D
–5
(a) Write down the equation of a line that is parallel to CD.
[1]
(b) Rajiv draws the line y = 5x + 4
Draw a ring around the point that this line passes through.
A
B
C
D
E
[1]
(c) Write down the equation of the line that passes through A and D.
[1]
© UCLES 2022
M/S8/01
[Turn over
6
12 Here is a line AB.
B
A
Using a ruler and compasses only, construct the perpendicular bisector of AB.
Do not rub out your construction arcs.
[2]
© UCLES 2022
M/S8/01
7
13 Mike and Samira travel from home to visit a friend.
The distance–time graph shows information about their journeys.
200
150
Distance
from home 100
(km)
Mike
50
Samira
0
09 00
10 00
11 00
12 00
13 00
Time
Mike and Samira live in the same house and travel along the same route to visit their friend.
Complete these sentences.
Samira leaves home
minutes after Mike.
Samira passes Mike at the time
from home.
© UCLES 2022
at a distance of
km
[2]
M/S8/01
[Turn over
8
14 (a) Here are four sequences A, B, C and D.
A
2,
5,
8,
11,
…
B
3,
6,
12,
24,
…
C
1,
5,
25,
125,
…
D
20,
10,
0,
–10,
…
Write the letter for each sequence in the correct place in the table.
The first one has been done for you.
The term-to-term rule is
add k or subtract k
where k is a whole number
The term-to-term rule is
multiply by k
where k is a whole number
A
[1]
(b) The nth term of sequence E is 4n –1
Find the 200th term of sequence E.
[1]
© UCLES 2022
M/S8/01
9
15 Work out.
7
4 ×1
12
Give your answer as a mixed number in its simplest form.
[2]
16 Safia owns a gym.
She wants to survey members to find out if they are happy with the gym.
(a) Put a tick () next to the method of sampling that is likely to give the fairest results.
Ask every member who comes to the gym on Tuesday morning.
Use a random number generator to generate 50 membership numbers and
ask members with those numbers.
Ask every 10th member who comes to the gym during one week.
Call all members who haven’t been to the gym for a month to ask them.
[1]
(b) Safia gives this question to some members of the gym.
Draw a ring around the score that represents how happy you are at the gym.
1
2
3
4
5
6
7
not happy
8
9
10
very happy
Safia asks 10 members to answer this question.
The mean score for the 10 members is 8.5
Her conclusion is that most members of her gym are happy.
Give one reason why her conclusion may not be true.
[1]
© UCLES 2022
M/S8/01
[Turn over
10
17 The diagram shows a right-angled triangle.
NOT TO
SCALE
The triangle is cut into two quadrilaterals.
154°
NOT TO
SCALE
84°
24°
Work out the size of all of the five missing angles.
Write them in the correct place in each quadrilateral.
[3]
© UCLES 2022
M/S8/01
11
18 Pierre writes down a three-digit number using three of the digit cards.
1
2
3
4
5
The first two digits of his number are even and the last digit is odd.
Write a list of all the possible three-digit numbers Pierre could write.
[2]
19 Work out.
(a) 3.85 × –7
[1]
(b) 0.72 ÷ 0.8
[1]
© UCLES 2022
M/S8/01
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12
20 Here are some numbers written in order of size.
9
7
< x < 0.5 < y <
20
12
Complete these sentences.
x is a decimal and a possible value of x is
y is a fraction and a possible value of y is
[2]
21 Point A has coordinates (– 4, 3).
Point A is reflected in the line y = 2
Find the coordinates of the image of point A.
(
© UCLES 2022
M/S8/01
,
) [1]
13
22 The table gives some information about 3D shapes that are all polyhedra.
Number of vertices
Number of faces
Number of edges
4
4
6
12
v
30
f
Complete the table.
You will need to write an expression in terms of v and f in the last row.
[2]
23 Here is a pattern using square numbers.
10012 = 1 002 001
10022 = 1 004 004
10032 = 1 006 009
10042 = 1 008 016
10052 = 1 010 025
10062 = 1 012 036
Use the pattern to complete these statements.
10072 =
1018081 =
10122 =
[2]
© UCLES 2022
M/S8/01
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14
24 Find the value of x when 36 × 56 = 2x × 32 × 7
x=
[2]
25 A group of adults are asked to choose their favourite film type.
Mia makes this infographic showing information about the results.
Comedy
42%
Science fiction
10%
Favourite
films
Crime
35%
Action
13%
Write a criticism of Miaʼs infographic.
[1]
© UCLES 2022
M/S8/01
15
26 Work out the absolute change when 45 is decreased by 300%.
[2]
27 Here is an equation.
5–g=6–h
Find which of g and h is greater.
Work out how much greater it is.
is greater by
[1]
28 An expression for the area of this right-angled triangle is 6y2 – 15y
NOT TO
SCALE
2y – 5
Find an expression for the perpendicular height of the triangle.
[2]
© UCLES 2022
M/S8/01
16
BLANK PAGE
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 annually and is available to download at
https://lowersecondary.cambridgeinternational.org/
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.
© UCLES 2022
M/S8/01
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
© UCLES 2021
[Turn over
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.
n
×5
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]
© UCLES 2021
1112/01/A/M/21
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
© UCLES 2021
1112/01/A/M/21
[1]
[Turn over
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]
© UCLES 2021
1112/01/A/M/21
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]
© UCLES 2021
1112/01/A/M/21
[Turn over
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]
© UCLES 2021
1112/01/A/M/21
7
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]
© UCLES 2021
1112/01/A/M/21
[Turn over
8
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.
(
© UCLES 2021
1112/01/A/M/21
,
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]
© UCLES 2021
1112/01/A/M/21
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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)
Shape B
NOT TO
SCALE
(x – 2 )
(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]
© UCLES 2021
1112/01/A/M/21
11
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
© UCLES 2021
1112/01/A/M/21
[1]
[Turn over
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.
© UCLES 2021
1112/01/A/M/21
[1]
13
22 Two shapes are shown on the grid.
y
14
12
10
8
B
6
4
2
–14 –12 –10 – 8 – 6 – 4 – 2 0
–2
A
2
4
6
8 10 12 14 x
–4
–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).
© UCLES 2021
1112/01/A/M/21
[2]
[Turn over
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]
© UCLES 2021
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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=
© UCLES 2021
1112/01/A/M/21
and y =
[2]
[Turn over
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.
© UCLES 2021
1112/01/A/M/21
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
[Turn over
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]
© UCLES 2021
1112/01/O/N/21
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=
© UCLES 2021
1112/01/O/N/21
[2]
[Turn over
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]
© UCLES 2021
1112/01/O/N/21
5
6
The bar chart shows how students in Class 7 travel to school.
15
12
Frequency
9
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]
© UCLES 2021
1112/01/O/N/21
[Turn over
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]
© UCLES 2021
1112/01/O/N/21
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]
© UCLES 2021
1112/01/O/N/21
[Turn over
8
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]
© UCLES 2021
1112/01/O/N/21
9
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]
© UCLES 2021
1112/01/O/N/21
[Turn over
10
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]
© UCLES 2021
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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
0
4
2
9 2 2
8 1 0
5 2
3
Thursday
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]
© UCLES 2021
1112/01/O/N/21
[Turn over
12
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]
© UCLES 2021
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13
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]
© UCLES 2021
1112/01/O/N/21
[Turn over
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]
© UCLES 2021
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15
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:
, centre (0, 0).
Rotation,
Followed by second transformation:
[3]
© UCLES 2021
1112/01/O/N/21
16
BLANK PAGE
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 2021
1112/01/O/N/21
Cambridge Lower Secondary Sample Test
For use with curriculum published in
September 2020
Mathematics Paper 1
Stage 8
1 hour
Name
Additional materials: Geometrical instruments
Tracing paper (optional)
INSTRUCTIONS
 Answer all questions.
 Write your answer to each question in the space provided.
 You should show all your working on the question paper.
 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 [ ].


Maths_S8_01/7RP
© UCLES 2020
2
1
Work out.
–9  –12
[1]
2
The probability of spinning a blue colour on a spinner is 0.4
Find the probability of not spinning a blue colour.
[1]
3
The diagram shows a straight line crossing a pair of parallel lines.
x
NOT TO
SCALE
y
Angle x and angle y are acute angles.
(a) Write down one possible pair of values for angle x and angle y.
x

y
 [1]
(b) Draw a ring around the best description of angle x and angle y.
corresponding
vertically opposite
alternate
parallel
[1]
© UCLES 2020
M/S8/01
3
4
Chen starts with a number.
He squares his number.
His answer is 144
Write down the two possible values of the number Chen starts with.
[1]
and
5
The diagram shows two pentagons, P and Q.
y
10
9
8
7
6
Q
5
4
3
P
2
1
–4 –3 –2 –1 0
1
2
3
4
5
6
7
8
9
10
x
A single transformation maps P onto Q.
(a) Write down the type of transformation.
[1]
(b) Write down the scale factor.
[1]
© UCLES 2020
M/S8/01
[Turn over
4
6
Carlos, Angelique and Safia are three friends who have some sweets.
Carlos has n sweets.
Angelique has half as many sweets as Carlos.
Safia has 4 more sweets than Angelique.
Write an expression, in terms of n, for
(a) the number of sweets Angelique has,
[1]
(b) the number of sweets Safia has,
[1]
(c) the total number of sweets for all three friends.
Give your answer in its simplest form.
[2]
7
(a) Here is Eva’s calculation.
5  3  22  32
Explain why Eva is not correct.
[1]
(b) Work out.
94  32 × 5
[2]
© UCLES 2020
M/S8/01
5
8
Factorise.
(a) 12x – 40
[1]
(b) 17y2  34y
[2]
9
Complete this statement.
72.9  0.01

 0.1
[1]
,
) [1]
, 8)
[2]
10 (a) A(3, 9) and B(4, –1) are two points.
Find the midpoint of AB.
(
(b) D is the midpoint of CE.
Complete the coordinates for C and E.
C  ( –5 ,
© UCLES 2020
) D  (3, 10)
M/S8/01
E(
[Turn over
6
11 Write down the value of 130
[1]
12 Write this ratio in its simplest form.
2.4 m : 45 cm
:
[2]
13 The diagram shows the positions of two towns, A and B.
North
North
NOT TO
SCALE
70°
110°
B
A
Find the bearing of
(a) B from A,
 [1]
(b) A from B.
 [1]
© UCLES 2020
M/S8/01
7
14 (a) Tick () to show whether each of the statements about the line x = 5 is true or false.
True
False
The line x = 5 is parallel to the x-axis.
The line x = 5 passes through the point (–2, 5).
The line x = 5 is perpendicular to the line y  –3
[1]
(b) Write down the equations of two different lines that are parallel to the line y = 4
[1]
(c) For the line y = 5 – 3x write down the gradient and the intercept with the y-axis.
gradient 
y-intercept 
15 (a) Draw a ring around all of the calculations that are equivalent to
16 3
×
9 4
9 4
×
16 3
9 1
×
4 3
16 4
×
9 3
3 1
×
4 1
[1]
9 3
÷
16 4
3 2
×
8 1
[2]
5
6
Give your answer as a mixed number in its simplest form.
(b) Calculate 3×1
[2]
© UCLES 2020
M/S8/01
[Turn over
8
16 Yuri records the number of goals scored in one season by each of the players in two
football teams.
Here are the results for the 11 players in Team A.
24
17
42
31
45
28
36
10
23
17
19
(a) Complete the stem-and-leaf diagram for this information.
1
2
3
4
Key:
[3]
(b) Yuri’s results for the players in Team B are summarised in the table.
Goals scored
Team A
Team B
Median
32
Range
42
Complete the table for Team A.
[2]
© UCLES 2020
M/S8/01
9
(c) Write down two comparisons between Team A and Team B.
Give your comparisons in context.
1
2
[2]
© UCLES 2020
M/S8/01
[Turn over
10
17 Six students start to solve 50 – 2x = 28 in different ways.
For each student’s work, tick () to show if the statements are true or false.
50 – 2x = 28
50 – 2x = 28
so 2x = 28 – 50
so 50 = 28  2x
True
False
True
False
50 – 2x = 28
50 – 2x = 28
so 2x = 28  50
so 25 – x = 14
True
False
True
False
50 – 2x = 28
50 – 2x = 28
so 50 – 28 = 2x
so –2x = 28 – 50
True
False
True
False
[2]
© UCLES 2020
M/S8/01
11
18 The diagram shows an isosceles triangle.
(6x – 15)°
(2x + 29)°
NOT TO
SCALE
Work out the value of x.
x
[3]
19 Here are three equations.
80  2m  5
72  2n  32
80  72  2p  32  5
Work out the values of m, n and p.
m
n
p
© UCLES 2020
M/S8/01
[3]
[Turn over
12
20
 = 0.43
2.7
Find the value of 
=
[2]
Copyright © UCLES, 2020
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.
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.
© UCLES 2020
M/S8/01
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
[Turn over
2
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]
© UCLES 2020
1112/01/A/M/20
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.
(
© UCLES 2020
1112/01/A/M/20
,
) [1]
[Turn over
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]
© UCLES 2020
1112/01/A/M/20
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]
© UCLES 2020
1112/01/A/M/20
[Turn over
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]
© UCLES 2020
1112/01/A/M/20
7
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]
© UCLES 2020
1112/01/A/M/20
[Turn over
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]
© UCLES 2020
1112/01/A/M/20
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]
© UCLES 2020
1112/01/A/M/20
[Turn over
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]
© UCLES 2020
1112/01/A/M/20
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.
= 3.1
7.4 +
9.4  –5.7 
[2]
© UCLES 2020
1112/01/A/M/20
[Turn over
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]
© UCLES 2020
1112/01/A/M/20
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]
© UCLES 2020
1112/01/A/M/20
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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]
© UCLES 2020
1112/01/A/M/20
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]
© UCLES 2020
1112/01/A/M/20
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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.
© UCLES 2020
1112/01/A/M/20
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
© UCLES 2020
[Turn over
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]
© UCLES 2020
1112/01/O/N/20
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.
(
© UCLES 2020
1112/01/O/N/20
,
)
[1]
[Turn over
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.
© UCLES 2020
1112/01/O/N/20
[1]
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]
© UCLES 2020
1112/01/O/N/20
[Turn over
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]
© UCLES 2020
1112/01/O/N/20
7
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]
© UCLES 2020
1112/01/O/N/20
[Turn over
8
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]
© UCLES 2020
1112/01/O/N/20
9
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]
© UCLES 2020
1112/01/O/N/20
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10
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=
© UCLES 2020
1112/01/O/N/20
[1]
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
© UCLES 2020
1112/01/O/N/20
[1]
[Turn over
12
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.
© UCLES 2020
1112/01/O/N/20
[2]
13
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]
© UCLES 2020
1112/01/O/N/20
[Turn over
14
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]
© UCLES 2020
1112/01/O/N/20
15
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]
© UCLES 2020
1112/01/O/N/20
[Turn over
16
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.
© UCLES 2020
1112/01/O/N/20
Cambridge Assessment International Education
Cambridge Secondary 1 Checkpoint

1112/01
MATHEMATICS
Paper 1
April 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 20 printed pages.
IB19 05_1112_01/4RP
© UCLES 2019
[Turn over
2
1
Work out the value of y.
6 × 3 + y = 23
y=
2
[1]
Blessy thinks of a number and multiplies it by 3
She then subtracts 6
Her final answer is 15
Work out the number Blessy started with.
[1]
3
Gabriella has 3 bottles of water.
Each bottle contains 500 ml of water.
Work out the total quantity of water.
Give your answer in litres.
l
© UCLES 2019
1112/01/A/M/19
[1]
3
4
Jamila has a recipe for biscuits.
To make 12 biscuits
250 g oats
125 g butter
100 g sugar
2 tablespoons syrup
Jamila makes 36 biscuits.
Work out how much butter she needs.
g
5
[1]
Here is a number fact.
3× 2 = 3
8 5 20
Use this to work out
3× 4
8 5
[1]
6
Draw a ring around the two numbers that are exactly divisible by 9
39
54
96
123
297
418
[1]
© UCLES 2019
1112/01/A/M/19
[Turn over
4
7
Draw a ring around the function that corresponds to the rule in the box.
multiply by 4 then subtract 2
x  x4 – 2
x  4(x – 2)
x  4x – 2
x  2 – 4x
[1]
8
Work out
12.7 × 0.3
[1]
9
There are 30 days in November.
3
It rains on of them.
5
Work out the number of days when it does not rain.
days
© UCLES 2019
1112/01/A/M/19
[1]
5
10 The diagram shows a prism.
The cross-section can be divided into three identical rectangles.
Each rectangle measures 7 cm by 4 cm.
The prism is 10 cm long.
NOT TO
SCALE
7 cm
10 cm
4 cm
Work out the volume of the prism.
cm3
© UCLES 2019
1112/01/A/M/19
[2]
[Turn over
6
11 A shop sells two different bags of rice.
Rice A
500 g
plus
25% extra free
Rice B
750 g
plus
1
extra free
5
Tick () to show which bag gives you more free rice.
Rice A
Rice B
You must show your working.
[2]
© UCLES 2019
1112/01/A/M/19
7
12 Mia and Lily are trying to find the nearest whole number to 120
It is 11
It is 10
Mia
Lily
Tick () to show who is correct.
Mia
Lily
Give a reason for your answer.
[1]
13 Write down all the primes between 60 and 70
[1]
© UCLES 2019
1112/01/A/M/19
[Turn over
8
14 Anastasia has four coins A, B, C and D.
One of these coins is a fair coin and the other three are biased coins.
She throws each coin 200 times and records the number of times she gets a head.
Tick () the coin that is most likely to be the fair coin.
Coin A
Coin B
Coin C
Coin D
49 heads
142 heads
110 heads
68 heads
[1]
15 Choose either × or ÷ to make each calculation correct.
14
0.2 = 70
16
1.25 = 20
20
0.5 = 10
36
0.75 = 48
[2]
© UCLES 2019
1112/01/A/M/19
9
16 Calculate the size of each exterior angle of a regular 10-sided polygon.
NOT TO
SCALE
°
© UCLES 2019
1112/01/A/M/19
[1]
[Turn over
10
17 Here are the timetables for trains running from Dibside to Flaghaven and from Flaghaven
to Hankberg.
Dibside
09:06
Elmville
10:13
Flaghaven 11:32
Monday to Friday
11:06 13:06 15:06
14:13
13:24 15:32 17:24
Monday to Friday
Flaghaven 09:40 11:40 13:40 15:40
Giyubi
09:55
13:55 15:55
Hankberg 10:08 12:05 14:08 16:08
17:06
18:13
19:32
Saturdays only
10:06
12:36 15:06 17:36
11:17
13:47 16:17 18:47
12:40
15:10 17:40 20:10
17:40
17:55
18:08
Saturdays only
09:30 12:30 15:30 18:30
09:45 12:45 15:45 18:45
09:58 12:58 15:58 18:58
(a) Oliver plans to take the 11:06 train from Dibside to Flaghaven next Wednesday.
Calculate how long his journey will take.
hours
minutes
[1]
(b) To travel from Dibside to Hankberg, passengers must change trains at Flaghaven.
Yuri needs to travel from Dibside to Hankberg next Saturday.
He must be at Hankberg before 18:15
Work out the time of the latest train he can take from Dibside.
[2]
© UCLES 2019
1112/01/A/M/19
11
18 Each of these numbers is written as a product of prime factors.
539 = 11 × 72
847 = 7 × 112
Use this information to write
(a)
539
as a fraction in its simplest form,
847
[1]
55
(b) 539 as a fraction in its simplest form.
[1]
© UCLES 2019
1112/01/A/M/19
[Turn over
12
19 Rajiv measures the lengths of 40 birds.
Length, L cm
Frequency
16 ≤ L < 17
13
17 ≤ L < 18
8
18 ≤ L < 19
12
19 ≤ L < 20
4
20 ≤ L < 21
3
(a) Draw a frequency diagram to show these lengths.
14
12
10
Frequency
8
6
4
2
0
16
17
18
19
20
21
Length, L cm
[2]
(b) Rajiv says that the median length is in the interval 18 ≤ L < 19
Tick () to show if Rajiv is correct or not.
Rajiv is correct
Rajiv is not correct
Give a reason for your answer.
[1]
© UCLES 2019
1112/01/A/M/19
13
20 Calculate the value of
2 + 8(40 – 5)
[1]
21 Chen investigates how people in his town will vote in an election.
Here are three methods he uses to collect data.
Tick () the correct box to show whether each method collects primary or secondary
data.
Primary Secondary
Ask the parents of his friends
Look for survey results on the internet
Go to the library to look up the results of the last election
[1]
22 Work out the missing amount in this statement.
20% of $30 = 40% of $
© UCLES 2019
[1]
1112/01/A/M/19
[Turn over
14
23 Here is a list of numbers.
–7
–5
–3
2
3
6
Find the largest positive number that can be made when two numbers from this list are
(a) multiplied together,
[1]
(b) subtracted from each other.
[1]
© UCLES 2019
1112/01/A/M/19
15
24 These two lines are the same length.
All measurements are in centimetres.
x–1
x–1
x–1
x–1
x–1
NOT TO
SCALE
x+8
x+8
(a) Write down an equation to show that the two lines are the same length.
[1]
(b) Work out the length of one line.
cm
[2]
)
[2]
25 AB is a line segment.
M is the midpoint of AB.
A is the point (7, 2).
M is the point (5, 6).
Work out the coordinates of point B.
(
© UCLES 2019
1112/01/A/M/19
,
[Turn over
16
26 The diagram shows a fair six-sided spinner.
Each section is numbered.
The numbers on four of the sections are shown.
1
.....
2
.....
4
6
Ahmed spins the spinner twice and the scores are added.
The sample space diagram shows some of the total scores.
+
1
2
4
6
1
2
3
5
7
2
3
4
6
8
4
5
6
8
10
6
7
8
10
12
12
.…
.…
.…
….
….
.…
….
.…
….
.…
10
….
….
….
….
….
….
.…
….
….
….
14
….
Calculate the probability that the total score is 10 or more.
[3]
© UCLES 2019
1112/01/A/M/19
17
27 Write each of these lines in the correct position in the table.
y = 4x + 1
y = –1
y = – 6x
x + y = 11
y = 3x – 5
The first one has been written in for you.
Positive gradient
Zero gradient
Negative gradient
y = 4x + 1
[2]
© UCLES 2019
1112/01/A/M/19
[Turn over
18
28 The diagram shows an isosceles triangle ABE and a quadrilateral BCDE.
AD is a straight line.
A
62° E
NOT TO
SCALE
p°
B
q°
132°
C
D
(a) Calculate the value of p and the value of q.
p=
q=
[2]
(b) Hassan says that the quadrilateral BCDE is a kite.
Tick () to show if Hassan is correct or not correct.
Correct
Not correct
Give a reason for your answer.
[1]
© UCLES 2019
1112/01/A/M/19
19
29 Here are two elevations of a triangular prism.
Side elevation
Front elevation
(a) Draw a plan view of the prism.
[2]
(b) This is part of an isometric drawing of the prism.
Complete the isometric drawing.
© UCLES 2019
[1]
1112/01/A/M/19
[Turn over
20
30 Work out the fraction that is halfway between
1
1
and 1
2
3
11
2
1
3
Write your answer in its simplest form.
[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 2019
1112/01/A/M/19
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
© UCLES 2019
[Turn over
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]
© UCLES 2019
1112/01/O/N/19
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.
© UCLES 2019
1112/01/O/N/19
[Turn over
4
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.
© UCLES 2019
1112/01/O/N/19
43
[2]
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]
© UCLES 2019
1112/01/O/N/19
[Turn over
6
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]
© UCLES 2019
1112/01/O/N/19
7
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]
© UCLES 2019
1112/01/O/N/19
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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]
© UCLES 2019
1112/01/O/N/19
9
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]
© UCLES 2019
1112/01/O/N/19
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10
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.
© UCLES 2019
1112/01/O/N/19
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]
© UCLES 2019
1112/01/O/N/19
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12
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.
© UCLES 2019
1112/01/O/N/19
Cambridge Lower Secondary Progression Test
* 1 1 8 6 8 6 4 3 1 8 *
Mathematics paper 1
Stage 8
55 minutes
For Teacher’s Use
Name ………………………………………………….……………………….
Page
1
Additional materials: Geometrical instruments
Tracing paper (optional)
2
READ THESE INSTRUCTIONS FIRST
4
Answer all questions in the spaces provided on the question paper.
5
Calculators are not allowed.
6
You should show all your working on the question paper.
7
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 45.
3
8
9
10
11
12
Total
MATHS_S8_01_7RP
© UCLES 2018
Mark
2
1
A calculator gives this answer.
For
Teacher’s
Use
300 ÷ 19 = 15.78947368
15.78947368
7
4
1
0
8
5
2
Â
9
6
3
=
×
÷
–
+
Round the answer to two decimal places.
............................................ [1]
2
Draw a line from each fraction to the equivalent percentage.
The first one has been done for you.
1
2
50%
2
5
35%
7
10
28%
7
25
40%
7
20
70%
© UCLES 2018
[2]
M/S8/01
3
3
(a) Complete the table of values for y = 8 – 3x
x
–1
y
11
For
Teacher’s
Use
0
2
[1]
(b) Draw the graph of y = 8 – 3x on the grid.
y
12
11
10
9
8
7
6
5
4
3
2
1
–2
–1
0
1
2
3
4
5
6
7
8
x
–1
–2
[2]
© UCLES 2018
M/S8/01
[Turn over
4
4
The diagram shows the square and the cube of a number.
For
Teacher’s
Use
2
square
cube
8
4
Complete this diagram.
............
square
cube
64
............
[2]
5
Complete these calculations.
(a) 15 × 0.02 = ..........................
[1]
(b) 14.4 ÷ .......................... = 1.2
[1]
© UCLES 2018
M/S8/01
5
6
Here is a calculation.
15 ×
For
Teacher’s
Use
3
5
Draw a ring around the answer.
45
75
7
9
25
15
3
5
3.6
[1]
An expression for the area of a shape is 6(a + 5) cm2.
Work out
(a) the area when a = –2,
.....................................cm2 [1]
(b) the value of a when the area is 54 cm2.
a = ...................................... [1]
8
Here are three lengths.
0.0509 km
60.5 m
5700 cm
Order these lengths by completing this statement.
....................................
>
....................................
>
....................................
[1]
© UCLES 2018
M/S8/01
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6
9
(a) Simplify this expression.
For
Teacher’s
Use
7x2 + 9x2 – x2
............................................ [1]
(b) Expand and simplify this expression.
8y – 3(y – 4)
............................................ [2]
10 Hassan swims in a swimming pool.
The pool is 25 m long.
He swims 60 lengths.
Work out how many kilometres he swims.
...................................... km [2]
© UCLES 2018
M/S8/01
7
11 The diagram shows triangles A and B on a grid.
B
For
Teacher’s
Use
A
(a) Triangle A is reflected to give triangle B.
Draw the line of reflection on the grid.
[1]
(b) Here are instructions for mapping triangle A onto triangle C.
Triangle A
Translate 1 unit left
and 4 units down
Triangle C
Draw triangle C on the grid.
[1]
(c) Complete the instructions for mapping triangle C back onto triangle A.
Triangle C
Translate .................................................
Triangle A
.................................................................
[1]
© UCLES 2018
M/S8/01
[Turn over
8
12 Three sisters receive money in the ratio of their ages.
For
Teacher’s
Use
Safia gets $18
Angelique is 6 years old and gets $9
Gabriella is 4 years old.
(a) Work out how old Safia is.
............................................ [1]
(b) Calculate how much money Gabriella gets.
$ .......................................... [1]
13 (a) Shade three more squares so that this shape has rotational symmetry of order
four.
[1]
(b) Shade two more squares so that this shape has one line of symmetry.
[1]
© UCLES 2018
M/S8/01
9
14 (a) Write 28 as a product of its prime factors.
For
Teacher’s
Use
............................................ [1]
(b) Write 210 as a product of its prime factors.
............................................ [1]
(c) Find the highest common factor of 28 and 210
............................................ [1]
(d) Find the lowest common multiple of 28 and 210
............................................ [1]
© UCLES 2018
M/S8/01
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10
15 Work out.
For
Teacher’s
Use
152 – 53
............................................ [1]
16 Find the value of 4x2 + 3 when x = –5
............................................ [1]
17 Work out.
(a) 4.3 ÷ 0.5
............................................ [1]
(b) 5.4 ÷ 0.03
............................................ [1]
18 A quadrilateral has both of these properties.
•
•
The diagonals cross at right angles.
The sides are not all the same length.
The quadrilateral is one of those listed below.
Draw a ring around the name of this quadrilateral.
Square
Rectangle
Parallelogram
Rhombus
Kite
[1]
© UCLES 2018
M/S8/01
11
19
28 × 67 = 1876
For
Teacher’s
Use
Use this fact to work out
(a) 28 × 68
............................................ [1]
(b) 14 × 67
............................................ [1]
20 These are the first three patterns in a sequence.
Pattern 1
4 squares
Pattern 2
7 squares
Pattern 3
10 squares
Work out an expression for the number of squares in the nth pattern.
............................................ [2]
© UCLES 2018
M/S8/01
[Turn over
12
For
Teacher’s
Use
5
21 Change 12 to a recurring decimal.
............................................ [2]
22 Complete the statement with a fraction.
Give the fraction in its simplest form.
200 m is ........................... of 5 km.
[2]
23 Work out.
2 1
3 1
7 2
............................................ [2]
Copyright © UCLES, 2018
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.
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.
© UCLES 2018
M/S8/01
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
[Turn over
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]
© UCLES 2018
1112/01/A/M/18
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]
© UCLES 2018
1112/01/A/M/18
[Turn over
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]
© UCLES 2018
1112/01/A/M/18
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
48º
48º
4.3 cm
4.9 cm
75º
75º
[2]
© UCLES 2018
1112/01/A/M/18
[Turn over
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]
© UCLES 2018
1112/01/A/M/18
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]
© UCLES 2018
1112/01/A/M/18
[Turn over
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.
© UCLES 2018
1112/01/A/M/18
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]
© UCLES 2018
1112/01/A/M/18
[Turn over
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]
© UCLES 2018
1112/01/A/M/18
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=
© UCLES 2018
1112/01/A/M/18
[1]
[Turn over
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
8
7
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.
(
© UCLES 2018
1112/01/A/M/18
,
)
[1]
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]
© UCLES 2018
1112/01/A/M/18
[Turn over
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]
© UCLES 2018
1112/01/A/M/18
15
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]
© UCLES 2018
1112/01/A/M/18
[Turn over
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
1112/01/A/M/18
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
© UCLES 2018
[Turn over
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]
© UCLES 2018
1112/01/O/N/18
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]
© UCLES 2018
1112/01/O/N/18
[Turn over
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.
1
3
 28  of y
3
4
Find the value of y.
y=
© UCLES 2018
1112/01/O/N/18
[2]
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
© UCLES 2018
1112/01/O/N/18
[3]
[Turn over
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=
© UCLES 2018
1112/01/O/N/18
 [2]
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]
© UCLES 2018
1112/01/O/N/18
[Turn over
8
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]
© UCLES 2018
1112/01/O/N/18
9
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]
© UCLES 2018
1112/01/O/N/18
[Turn over
10
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]
© UCLES 2018
1112/01/O/N/18
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]
© UCLES 2018
1112/01/O/N/18
[Turn over
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]
© UCLES 2018
1112/01/O/N/18
13
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]
© UCLES 2018
1112/01/O/N/18
[Turn over
14
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]
© UCLES 2018
1112/01/O/N/18
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]
© UCLES 2018
1112/01/O/N/18
[Turn over
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.
© UCLES 2018
1112/01/O/N/18
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
© UCLES 2016
[Turn over
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]
© UCLES 2016
1112/01/O/N/16
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]
© UCLES 2016
1112/01/O/N/16
[Turn over
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
© UCLES 2016
[1]
= 20
[1]
1112/01/O/N/16
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
© UCLES 2016
1112/01/O/N/16
[1]
[Turn over
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]
© UCLES 2016
1112/01/O/N/16
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
© UCLES 2016
1112/01/O/N/16
[1]
[Turn over
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]
© UCLES 2016
1112/01/O/N/16
9
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]
© UCLES 2016
1112/01/O/N/16
[Turn over
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]
© UCLES 2016
1112/01/O/N/16
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]
© UCLES 2016
1112/01/O/N/16
[Turn over
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]
© UCLES 2016
1112/01/O/N/16
13
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=
© UCLES 2016
1112/01/O/N/16
y=
[1]
[Turn over
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]
© UCLES 2016
1112/01/O/N/16
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]
© UCLES 2016
1112/01/O/N/16
[Turn over
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
1112/01/O/N/16
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
[Turn over
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]
© UCLES 2015
1112/01/O/N/15
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(
© UCLES 2015
1112/01/O/N/15
,
)
[1]
[Turn over
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]
© UCLES 2015
1112/01/O/N/15
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]
© UCLES 2015
1112/01/O/N/15
[Turn over
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]
© UCLES 2015
1112/01/O/N/15
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]
© UCLES 2015
1112/01/O/N/15
[Turn over
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]
© UCLES 2015
1112/01/O/N/15
9
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=
© UCLES 2015
1112/01/O/N/15
[3]
[Turn over
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
© UCLES 2015
1112/01/O/N/15
[1]
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]
© UCLES 2015
1112/01/O/N/15
[Turn over
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]
© UCLES 2015
1112/01/O/N/15
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
Time (h)
3
4
Find her average speed for the whole journey.
[2]
© UCLES 2015
1112/01/O/N/15
[Turn over
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]
© UCLES 2015
1112/01/O/N/15
15
BLANK PAGE
© UCLES 2015
1112/01/O/N/15
16
BLANK PAGE
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.
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 2015
1112/01/O/N/15
Cambridge International Examinations
Cambridge Secondary 1 Checkpoint
1112/01
MATHEMATICS
Paper 1
For Examination from 2014
SPECIMEN PAPER
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 a soft pencil for any diagrams or graphs.
Do not use staples, paperclips, highlighters, glue or correction fluid.
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.
IB14 1112_01_SP/3RP
© UCLES 2014
[Turn over
2
1
Put a ring around all the numbers that are exactly divisible by 9
3
56
72
93
146
198
[1]
2
Jamie has 60 counters.
He gives
1
1
of his counters to Sam and to Sally.
3
4
How many counters does Jamie have left?
[2]
3
Erik makes a sequence of patterns using tiles.
He records how many tiles are used for each pattern number.
Pattern number
(p)
1
2
3
4
Number of tiles
(t)
1
8
15
22
5
50
(a) Complete the table.
[2]
(b) Erik finds a rule connecting the pattern number and the number of tiles.
Put a ring around the correct rule.
t=p+7
© UCLES 2014
t = 6p – 1
t = 7p + 1
1112/01/SP/14
t = 7p – 6
[1]
3
4
A fair spinner is in the shape of a regular hexagon.
(a) Write a number on each section so that the probability of getting an odd
1
number is .
3
[1]
(b) What is the probability of not getting an odd number?
[1]
© UCLES 2014
1112/01/SP/14
[Turn over
4
5
Write down the value of 196
[1]
6 (a) Work out the value of a.
a°
NOT TO
SCALE
49°
62°
a=
° [1]
(b) Give a geometric reason for your answer.
[1]
© UCLES 2014
1112/01/SP/14
5
7
8
Work out the temperature after each of these changes.
(a) The temperature starts at 6 °C and it falls by 13 °C.
°C
[1]
(b) The temperature starts at −2 °C and it falls by 8 °C.
°C
[1]
Martin is playing a game.
The probability of winning is 0.3
What is the probability of not winning?
[1]
9
Three students took a test.
The test was out of 50 marks.
David scored
38 marks
John scored
half marks
Susan scored
72%
Who scored the highest?
Show your working.
................. scored the highest
[2]
© UCLES 2014
1112/01/SP/14
[Turn over
6
10 Match each calculation with its answer.
0.7 × 1000
7
70
70 × 0.1
700
7000
700 ÷ 0.01
70 000
[1]
11 This table shows some outcomes from the function x → 2x + 3
Complete the output column of the table.
input
output
1
5
6
9
15
33
[1]
12 Look at the following equation.
45.6 ÷ 1.2 = 38
Use this information to write down the answers to the following.
(a) 456 ÷ 12
=
[1]
(b) 38 × 1.2
=
[1]
(c) 3.8 × 1.2
=
[1]
© UCLES 2014
1112/01/SP/14
7
13
A cuboid has dimensions 2 cm × 3 cm × 5 cm.
Part of the net of this cuboid is shown on the centimetre square grid.
Complete the net of the cuboid.
[1]
© UCLES 2014
1112/01/SP/14
[Turn over
8
14
The travel graph shows Karen’s journey between two towns, Springton and Watworth.
200
150
Distance
travelled
(km)
100
50
0
09 00
10 00
11 00
12 00
13 00
14 00
Time
George makes the same journey between Springton and Watworth.
He leaves Springton at 10 00 and travels at a constant speed of 80 km/h without
stopping.
(a) Draw a line on the travel graph to represent George’s journey.
[1]
(b) How much earlier than Karen did George arrive at Watworth?
[1]
© UCLES 2014
1112/01/SP/14
9
15
Write these numbers in order of size starting with the smallest.
25
32
3
64
smallest
16
0.22
largest
[1]
Work out
(a) 1.56 × 3.6
[2]
(b) 5.44 ÷ 1.6
[2]
© UCLES 2014
1112/01/SP/14
[Turn over
10
17
Ayako and Joshua have a total of 59 sweets between them.
Ayako has n sweets.
Joshua has 3 fewer sweets than Ayako.
Work out the value of n.
[2]
n=
18
The map shows the positions of two beaches, A and B.
N
N
sea
B
land
A
A boat is on a bearing of 062° from beach A and on a bearing of 286° from beach B.
Mark the position of the boat clearly on the map.
© UCLES 2014
1112/01/SP/14
[2]
11
19
Decide whether each of these statements is true or false.
Tick (9) the correct boxes.
True
False
90 = 0
93 × 92 = 95
98 ÷ 94 = 92
20
[1]
Calculate
(a) 2
2
3
–1
3
4
[2]
1
2
3
5
(b) 1 × 2
[2]
© UCLES 2014
1112/01/SP/14
[Turn over
12
21
The map shows an island with two towns, P and Q.
The scale of the map is 1 cm : 4 km.
Q
P
Scale 1 cm : 4 km
The fire department wants to build a new fire station on the island.
The fire station should be
• no more than 20 km from town P
• no more than 32 km from town Q.
Shade the region on the island where the fire station could be built.
22
[2]
Work out
(a) 5 + 2 × 7
[1]
(b) 4 × (1 + 32)
[1]
© UCLES 2014
1112/01/SP/14
13
23
Here is a number line.
–4
–3
–2
–1
0
1
2
3
4
5
6
Tick (3) which of these inequalities is shown on the number line.
–2 ≤ n ≤ 5
–2 < n ≤ 5
–2 ≤ n < 5
5 ≥ n < –2
© UCLES 2014
[1]
1112/01/SP/14
[Turn over
14
24
The stem and leaf diagram shows the heights, in cm, of the 15 students in class 8A and
the 15 students in class 8B.
Class 8A
9
Class 8B
8
3
1
14
6
7
7
7
5
15
0
2
7
9
8
6
4
16
1
1
3
5
8
3
1
0
17
0
4
6
6
6
18
2
Key:
14 | 6 = 146 cm
1| 14 = 141 cm
(a) Find the range of heights of the students in class 8A.
cm
[1]
cm
[1]
(b) Find the median of the heights of the students in class 8B.
(c) Give two statements to compare the heights of the students in the two classes.
[2]
© UCLES 2014
1112/01/SP/14
15
25
Ahmed buys a pack of 20 drinks to sell at the school shop.
The pack costs $5.
He wants to make a 40% profit.
$5
How much should he sell each drink for?
$
© UCLES 2014
1112/01/SP/14
[3]
16
BLANK PAGE
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.
University of 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 2014
1112/01/SP/14
lmlturuffiiltilililil|il
UNIVERSITY OF CAMBRIOGE INTERNATIONAL EXAMINAIIONS
CENTRE
1112t01
I
I
candidri6s amrer on rhe oueslim Paper
Additi.nar Mat
Geoneniel instum6nls
n.br
READ THESE INSTRUCTIONS FIRST
W.ic you. Cenlre numb.r, €ndidale numbq and n.me on all lhe mrk vou h.nd
1
Wnia in d.lk blue or black p.n.
You fiay u* a 3on p€ncil tor any dlagEns or gEphs
Oo not
staDles, paporclips, hiqhlishisrs. glle or mredon ilid
e
OO NOT WRITE ]N ANY AARCODES.
NO CAI.CUIATOR ALLOWED,
Youshouldsh .ll,qircrLliq in lhe b.oklet
Th€ numbs ol mai€ is gi€n in brackars I lel tle €nd ot 4dt queslion or p.r'.
q@lion'
Th€ roEr number ol ro*s for rh's ooF s s0.
\
i1
12
Thb ddment comisls ol 15 pdnlEd paqes and 1 blank pagE
J
2
1
Put a ring around all the numbers that are exactly divisible by 9
3
56
72
93
146
198
[1]
2
Jamie has 60 counters.
He gives
1
1
of his counters to Sam and to Sally.
3
4
How many counters does Jamie have left?
[2]
3
Erik makes a sequence of patterns using tiles.
He records how many tiles are used for each pattern number.
Pattern number
(p)
1
2
3
4
Number of tiles
(t)
1
8
15
22
5
50
(a) Complete the table.
[2]
(b) Erik finds a rule connecting the pattern number and the number of tiles.
Put a ring around the correct rule.
t=p+7
© UCLES 2014
t = 6p – 1
t = 7p + 1
1112/01/SP/14
t = 7p – 6
[1]
3
4
A fair spinner is in the shape of a regular hexagon.
(a) Write a number on each section so that the probability of getting an odd
1
number is .
3
[1]
(b) What is the probability of not getting an odd number?
[1]
© UCLES 2014
1112/01/SP/14
[Turn over
4
5
Write down the value of 196
[1]
6 (a) Work out the value of a.
a°
NOT TO
SCALE
49°
62°
a=
° [1]
(b) Give a geometric reason for your answer.
[1]
© UCLES 2014
1112/01/SP/14
5
7
8
Work out the temperature after each of these changes.
(a) The temperature starts at 6 °C and it falls by 13 °C.
°C
[1]
(b) The temperature starts at −2 °C and it falls by 8 °C.
°C
[1]
Martin is playing a game.
The probability of winning is 0.3
What is the probability of not winning?
[1]
9
Three students took a test.
The test was out of 50 marks.
David scored
38 marks
John scored
half marks
Susan scored
72%
Who scored the highest?
Show your working.
................. scored the highest
[2]
© UCLES 2014
1112/01/SP/14
[Turn over
6
10 Match each calculation with its answer.
0.7 × 1000
7
70
70 × 0.1
700
7000
700 ÷ 0.01
70 000
[1]
11 This table shows some outcomes from the function x → 2x + 3
Complete the output column of the table.
input
output
1
5
6
9
15
33
[1]
12 Look at the following equation.
45.6 ÷ 1.2 = 38
Use this information to write down the answers to the following.
(a) 456 ÷ 12
=
[1]
(b) 38 × 1.2
=
[1]
(c) 3.8 × 1.2
=
[1]
© UCLES 2014
1112/01/SP/14
7
13
A cuboid has dimensions 2 cm × 3 cm × 5 cm.
Part of the net of this cuboid is shown on the centimetre square grid.
Complete the net of the cuboid.
[1]
© UCLES 2014
1112/01/SP/14
[Turn over
8
14
The travel graph shows Karen’s journey between two towns, Springton and Watworth.
200
150
Distance
travelled
(km)
100
50
0
09 00
10 00
11 00
12 00
13 00
14 00
Time
George makes the same journey between Springton and Watworth.
He leaves Springton at 10 00 and travels at a constant speed of 80 km/h without
stopping.
(a) Draw a line on the travel graph to represent George’s journey.
[1]
(b) How much earlier than Karen did George arrive at Watworth?
[1]
© UCLES 2014
1112/01/SP/14
9
15
Write these numbers in order of size starting with the smallest.
25
32
3
64
smallest
16
0.22
largest
[1]
Work out
(a) 1.56 × 3.6
[2]
(b) 5.44 ÷ 1.6
[2]
© UCLES 2014
1112/01/SP/14
[Turn over
10
17
Ayako and Joshua have a total of 59 sweets between them.
Ayako has n sweets.
Joshua has 3 fewer sweets than Ayako.
Work out the value of n.
[2]
n=
18
The map shows the positions of two beaches, A and B.
N
N
sea
B
land
A
A boat is on a bearing of 062° from beach A and on a bearing of 286° from beach B.
Mark the position of the boat clearly on the map.
© UCLES 2014
1112/01/SP/14
[2]
11
19
Decide whether each of these statements is true or false.
Tick (9) the correct boxes.
True
False
90 = 0
93 × 92 = 95
98 ÷ 94 = 92
20
[1]
Calculate
(a) 2
2
3
–1
3
4
[2]
1
2
3
5
(b) 1 × 2
[2]
© UCLES 2014
1112/01/SP/14
[Turn over
12
21
The map shows an island with two towns, P and Q.
The scale of the map is 1 cm : 4 km.
Q
P
Scale 1 cm : 4 km
The fire department wants to build a new fire station on the island.
The fire station should be
• no more than 20 km from town P
• no more than 32 km from town Q.
Shade the region on the island where the fire station could be built.
22
[2]
Work out
(a) 5 + 2 × 7
[1]
(b) 4 × (1 + 32)
[1]
© UCLES 2014
1112/01/SP/14
13
23
Here is a number line.
–4
–3
–2
–1
0
1
2
3
4
5
6
Tick (3) which of these inequalities is shown on the number line.
–2 ≤ n ≤ 5
–2 < n ≤ 5
–2 ≤ n < 5
5 ≥ n < –2
© UCLES 2014
[1]
1112/01/SP/14
[Turn over
14
24
The stem and leaf diagram shows the heights, in cm, of the 15 students in class 8A and
the 15 students in class 8B.
Class 8A
9
Class 8B
8
3
1
14
6
7
7
7
5
15
0
2
7
9
8
6
4
16
1
1
3
5
8
3
1
0
17
0
4
6
6
6
18
2
Key:
14 | 6 = 146 cm
1| 14 = 141 cm
(a) Find the range of heights of the students in class 8A.
cm
[1]
cm
[1]
(b) Find the median of the heights of the students in class 8B.
(c) Give two statements to compare the heights of the students in the two classes.
[2]
© UCLES 2014
1112/01/SP/14
15
25
Ahmed buys a pack of 20 drinks to sell at the school shop.
The pack costs $5.
He wants to make a 40% profit.
$5
How much should he sell each drink for?
$
© UCLES 2014
1112/01/SP/14
[3]
16
BLANK PAGE
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.
University of 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 2014
1112/01/SP/14
1
For
Teacher's
Use
55 minutes
Mathematics Paper 1
For Teacher's Use
Page
Stage 8
Mark
1
2
Name ………………………………………………….……………………….
3
Additional materials: Ruler
Tracing paper
Geometrical instruments
4
5
Calculators are not allowed.
6
READ THESE INSTRUCTIONS FIRST
7
Answer all questions in the spaces provided on the question paper.
You should show all your working on the question paper.
The number of marks is given in brackets [ ] at the end of each question
or part question.
8
9
10
The total number of marks for this paper is 45.
11
12
Total
V1
© UCLES 2011
P110/01/A/M/11
[Turn over
2
1
2
For
Teacher's
Use
Write the missing numbers in the boxes.
(a) 462 +
= 849
[1]
(b) 713 –
= 448
[1]
Calculate 7 – 2.4 + 0.36
[1]
3
Look at the shapes.
Tick () all the shapes that are congruent.
[1]
4
Work out.
(a) 4³
(b)
© UCLES 2011
[1]
121
[1]
P110/01/A/M/11
3
5
6
For
Teacher's
Use
Write the missing numbers in the spaces.
(a) 147 ×
= 1.47
[1]
(b) 32.9 ÷
= 329
[1]
Here is a signpost.
Paris 8km
Jane passes this signpost.
How many miles is Jane from Paris when she passes this signpost?
miles
7
[1]
Rowena asks the students in her class if they are right or left-handed.
She starts to show her results in a two-way table.
Right-handed
Left-handed
10
Boys
15
Girls
Total
Total
7
29
Use the information given to complete Rowena’s two-way table.
[2]
© UCLES 2011
P110/01/A/M/11
[Turn over
4
8
For
Teacher's
Use
Tick () all the fractions that are equivalent.
9
28
3
8
24
64
21
54
15
40
[1]
9
Look at these triangles.
13 cm
13 cm
4 cm
13 cm
12 cm
13 cm
NOT TO
SCALE
13 cm
13 cm
5cm
5 cm
13cm
12cm
Tick () the triangle that has a hypotenuse of length 13 cm.
[1]
© UCLES 2011
P110/01/A/M/11
5
For
Teacher's
Use
10 Ayesha, Boris and Carla have some sweets.
Ayesha has x sweets.
Boris has twice as many sweets as Ayesha.
Carla has 3 fewer sweets than Boris.
(a) Tick () the expression that shows the number of sweets that Carla has.
2x +3
2 ( x −3)
3x − 2
2x − 3
3( x + 2)
[1]
(b) Ayesha and Carla have the same number of sweets.
Work out the number of sweets that Ayesha has.
sweets
[2]
cm³
[1]
11 Look at this drawing of a cuboid.
6cm
NOT TO
SCALE
4cm
10 cm
Work out its volume.
© UCLES 2011
P110/01/A/M/11
[Turn over
6
For
Teacher's
Use
12 Rashid makes some patterns using black and white counters.
pattern number
1
pattern number
2
pattern number
3
He makes a table to show the number of counters he uses.
Pattern number
1
2
3
Number of white counters
0
2
4
Total number of counters
1
3
5
4
10
(a) Complete the table.
[2]
(b) How many white counters are there in pattern number n?
[1]
(c) Write an expression for the total number of counters in the nth pattern.
[1]
13 Here are five expression cards.
p–q
p+q
p²
2p
q² + 1
A
B
C
D
E
(a) Which two cards have the same value when p = 3 and q = – 1?
and
[1]
and
[1]
(b) Which two cards have the same value when p = q?
© UCLES 2011
P110/01/A/M/11
7
For
Teacher's
Use
14 Kumar measures the height of a plant.
At the start of the first week it is 36 mm.
A week later it is 63 mm.
Work out the percentage increase in the height of the plant.
%
[2]
)
[2]
15 The midpoint of the line joining points A and B has coordinates (5,7).
A is the point (3,5).
Work out the coordinates of point B.
(
© UCLES 2011
P110/01/A/M/11
,
[Turn over
8
For
Teacher's
Use
16 A domino has a percentage and a fraction written on it.
30%
1
2
The dominoes are matched so that the fraction joins its equivalent percentage.
1
2
30%
50%
3
5
Four of the dominoes are joined.
30%
1
2
1
12 %
2
3
5
50%
Write in the percentage and fraction needed on the blank domino.
2
3
[2]
17 Write numbers in the boxes to make the following calculations correct.
(a) 3.24 ÷ 0.4 = 3.24 ×
(b) 87.9 ×
© UCLES 2011
÷4
[1]
= 87.9 × 3 ÷ 100
[1]
P110/01/A/M/11
9
For
Teacher's
Use
18 (a) Shade one more square so that this shape has one line of symmetry.
[1]
(b) Shade two more squares so that this shape has rotational symmetry of order 2.
[1]
19 The stem and leaf diagram shows the marks scored by some students in a
maths test.
0 2 5
1 3 6 7 8
Key 1 3 means 13
2 0 2 3 5 5 6 7 9
3 0
(a) What is the range of their scores?
[1]
(b) What is the median of their scores?
[1]
© UCLES 2011
P110/01/A/M/11
[Turn over
10
For
Teacher's
Use
20 Work out.
2
3
3 +1
3
5
[2]
21 Bisect the angle marked in the diagram.
Use only a ruler and a pair of compasses.
Leave your construction lines.
[2]
© UCLES 2011
P110/01/A/M/11
11
For
Teacher's
Use
22 Look at shapes A and B.
A
B
Which of the shapes has the larger fraction of itself shaded?
Explain your answer.
Shape
because
[2]
23 The table shows some properties of quadrilaterals.
Diagonals are
perpendicular
Diagonals have
equal length
Square
Rhombus
Rectangle
Trapezium
Complete the table.
Tick () if the property is always true.
Cross () if the property is not always true.
© UCLES 2011
P110/01/A/M/11
[2]
[Turn over
12
For
Teacher's
Use
24 Hari has four number cards.
4
7
?
?
(a) If the mode of the numbers is 4 and their median is 5, what are the two
missing numbers?
and
[1]
(b) If the range of the numbers is 3 and their mean is 6, what are the two
missing numbers?
and
[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.
University of 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 2011
P110/01/A/M/11
Name
ap
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Candidate Number
w
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Centre Number
1112/01
Paper 1
November 2005
1 hour
Candidates answer on the question paper
Additional Materials: Protractor
Ruler
NO CALCULATOR ALLOWED
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 in the spaces provided on the Question Paper.
You are not allowed to use a calculator.
Answer all questions.
You may use a soft pencil for any diagrams or graphs.
You should show all your working in the booklet.
The total number of marks for this paper is 50.
The number of marks is given in brackets [ ] at the end of each question or part question.
This document consists of 10 printed pages and 2 blank pages.
IB05 11_1112_01/FP
 UCLES 2005
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om
.c
MATHEMATICS
s
er
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
Cambridge Checkpoint
2
1
Look at these numbers.
5
6
7
8
9
10
Using only the numbers above, write down
(a) a prime number,
[1]
(b) a square number,
[1]
(c) a factor of 55,
[1]
(d)
36 ,
[1]
(e) a cube number.
[1]
© UCLES 2005
1112/01/N/05
3
2
Write the correct number to go in each box.
(a)
3×
(b)
half of 25 =
= 21
[1]
–101 = 200
(c)
(d)
23 ÷ 1000 =
(e)
7 + 10 ÷
© UCLES 2005
[1]
[1]
[1]
=9
[1]
1112/01/N/05
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4
3
A box contains 20 computer discs.
(a)
2
of the discs are used.
5
(i) Write
2
as a decimal.
5
[1]
(ii) Write
2
as a percentage.
5
%
[1]
(iii) Work out how many discs are used.
[1]
(b) 30% of the discs are damaged.
Write this as a fraction in its simplest form.
[2]
© UCLES 2005
1112/01/N/05
5
4
A school team plays nine football matches.
The list shows the number of goals scored in each match.
1
0
5
8
1
5
0
5
2
(a) Write down the range of goals scored.
[1]
(b) Write down the modal number of goals scored.
[1]
(c) Work out the median number of goals scored.
[1]
(d) Work out the mean number of goals scored.
[2]
© UCLES 2005
1112/01/N/05
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6
5
(a) Show that 34 × 1.2 = 40.8 .
[2]
(b) Use part (a) to write down the value of
(i) 3.4 × 1.2,
[1]
(ii) 340 × 0.12,
[1]
(iii) 17 × 12.
[1]
© UCLES 2005
1112/01/N/05
7
6
Find the value of the following expressions when
r = 4, e = 5 and x = 6.
(a) 5r + 3x + 2e
[1]
(b)
3re
x
[2]
(c) 4e²
[2]
© UCLES 2005
1112/01/N/05
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8
7
(a) Complete the table of values for y = –3x + 2.
x
y
–2
–1
0
5
2
1
2
[2]
(b) Use your results to plot the graph of y = –3x + 2 on the grid below.
y
8
7
6
5
y = 2x _ 3
4
3
2
1
_3 _2 _1 0
_1
_2
1
2
3
x
_3
_4
_5
_6
[2]
(c) The graph of y =2x –3 has been drawn on the grid above.
Use the two graphs to solve the simultaneous equations
y = –3x + 2,
y = 2x – 3.
© UCLES 2005
1112/01/N/05
x=
[1]
y=
[1]
9
8
Solve the following equations.
(a) 4x + 7 = 19
x=
[2]
x=
[3]
(b) 3(x – 2) = 12
9
Write the number 53 467
(a) correct to the nearest 10,
[1]
(b) correct to three significant figures,
[1]
(c) in standard form.
[2]
© UCLES 2005
1112/01/N/05
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10
10 The table shows some time differences.
It is not complete.
City
Hours difference from London
Los Angeles
–10
Mexico City
–6
Buenos Aires
London
0
Johannesburg
+2
Riyadh
Wellington
+12
(a) Write down the time difference between
(i) Los Angeles and Johannesburg,
hours
[1]
hours
[1]
hours
[1]
(ii) Johannesburg and Wellington,
(iii) Los Angeles and Mexico City.
(b) Malik flies from Los Angeles to Riyadh.
The time difference is 13 hours.
How many hours ahead of London is Riyadh?
[1]
(c) Ellis flies from Johannesburg to Buenos Aires. The time difference is 5 hours.
How many hours is Buenos Aires behind London?
[1]
© UCLES 2005
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University of Cambridge International Examinations is part of the University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department
of the University of Cambridge.
1112/01/N/05