Cambridge International Examinations
Cambridge Secondary 1 Checkpoint
Yoosuf Aiyas
*9469978289*
1112/01
MATHEMATICS
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
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2
1
The timetable shows the times of five buses.
Oldfield
Newton
Arden
Wiley
16 00
16 21
16 39
16 57
16 20
16 41
16 51
17 17
16 35
16 56
17 14
17 32
16 50
17 11
17 21
17 47
17 05
17 26
17 44
18 02
(a) Write down the time when the second of these buses leaves Newton.
16: 41
[1]
19 minutes
[1]
(b) Karl arrives at the bus stop in Arden at 16 55
Work out how long he waits for the next bus.
2
Jerome has 6 number cards.
49
51
53
55
57
59
(a) Which two of Jerome’s numbers are prime numbers?
53
and
59
[1]
(b) Explain why 51 is not a prime number.
51 can be divided by 3 and 17, so it is not a prime number.
[1]
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3
3
(a) Plot points A (3, –1), B (3, 3) and C (– 4, 2).
y
6
5
4
3
2
1
–6
–5
–4
–3
–2
–1
0
–1
1
2
3
4
5
6
x
–2
–3
–4
–5
–6
[1]
(b) ABCD is a parallelogram.
Write down the coordinates of point D.
D(
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-2
)
[1]
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3
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.
I cant draw…
But, it is done by measuring 34 degrees on a protractor,
then drawing an extended line.
After that find 7.2 cm of that line and mark it.
From that mark, connect it to the right end of the 6.5 cm line.
6.5 cm
[2]
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5
6
(a) Work out 18.6 × 7
64
18.6
7.0
——
130.2
130.2
[1]
8.85
____
20 | 17700
Give your answer as a mixed number.
160
——
170
160
———
100
100
——
xx
(b) Work out 177 ÷ 20
7
8.85
[1]
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
play
Hours
12
5
1
2
4
Pie chart
angle
180°
75
15
30°
60°
Complete the table.
[1]
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5
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)
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b = 11 and c = 3
a = 2(11) - 3
a = 22 - 3
a = 19
[1]
a = 2(12) - -4
a = 24 + 4
a = 28
[1]
b = 12 and c = −4
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10 A boy spends
1
1
of his money on sweets and
4
on computer games.
3
What fraction of his money does he not spend?
1/4 + 1/3 =
3/12 + 4/12 = 7/12
12/12 - 7/12 = 5/12
[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
m - meters
The volume of water in a swimming pool is measured in
m^3 - cubic meters
The area of a football pitch is measured in
m^2 - square meters
The amount your fingernail grows in length in one month is
measured in
mm - millimeters
[2]
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12 (a) Express each of these functions using symbols.
The first one has been done for you.
In words
In symbols
Subtract 5
x→
x–5
Divide by 7
x→
x/7
Multiply by 2 and then add 1
x→
2x+1
[1]
(b) Another function is given by
x → 4( x + 3)
Fill in the gaps to express this function in words.
Add 3
Multiply by 4
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?
5km : 30 mins
1km : 6 mins
8km : 48 mins
48
minutes [2]
14 Write down the nth term for the following sequences.
(a) 4, 8, 12, 16, 20…
4n
[1]
(b) 7, 10, 13, 16, 19…
3n + 4
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15 A teacher wrote this sum on the board.
$9.61 + $0.39 + $2.71 + $5.28 + $7.29 + $4.72
She said,
Tell me a quick way to
work this out without
using a calculator
Explain how to do this.
Firstly add the hundreths, then add the tenths and finally add the units. If anything is carried
over, take account of that.
[1]
16 Work out
3
9
÷
4
10
Give your answer as a fraction in its simplest form.
3/4 / 9/10
3/4 x 10/9
30/36
5/6
5/6
[2]
2.5
[3]
17 Solve the equation.
3(3 – 2x) = 2x – 11
3(3-2x) = 2x-11
9-6x = 2x-11
-6x+9 = 2x-11
-8x+9 = -11
-8x = -20
8x = 20
x = 2.5
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x=
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10
18 Write down the whole number that is the best estimate for
(a)
124
11^2 = 121
11
[1]
3
(b)
124
5^3 = 125
5
[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.
7.76u = h
7.76(500) = h
3880 = h
3880
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[1]
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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.
180-116 = 64
a=
64
180 - 116 = 64
64/2 = 32
b=
32
c=
84
32+x+64 = 180
180-96 = 84
[3]
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12
22 The diagram shows two quadrilaterals, Q and R, on a grid.
y
10
9
8
R
7
6
5
4
Q
3
2
1
–2 –1 0
–1
1
2
3
4
5
6
7
8
9 10 x
–2
Describe fully the transformation that maps quadrilateral Q onto quadrilateral R.
Quadrilateral R is an enlargement of quadrilateral Q with a enlargement factor of 3 and a
center of enlargement at (0,1)
[2]
23 Work out
7.2 ÷ 0.15
7.2/0.15
7.2/ 15/100
7.2 x 100/15
720/15 =
48
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13
24 Nesreen wants to find out how often people in her town visit the cinema.
She collects data from 10 people standing in a queue outside a cinema.
Write down two reasons why the data she collects may not be reliable.
Reason 1
The sample is too small.
Reason 2 Not all the people could be going to the cinema.
[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.
50/4 = 12.5 km/h
12.5 km/h
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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’.
90/300 =
30/100 =
0.3
0.3
[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
A
B
C
Never true
D
[2]
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