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Cambridge Lower Secondary Checkpoint



MATHEMATICS 1112/02
Paper 2 April 2022
1 hour

You must answer on the question paper.

You will need: Geometrical instruments

Tracing paper (optional)

INSTRUCTIONS
• Answer all questions.
• Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You should show all your working in the booklet.
• You may use a calculator.

INFORMATION
• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].

This document has 16 pages. Any blank pages are indicated.

IB22 05_1112_02/6RP
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1 Here is a list of numbers.

5 7 10 12 16 20

Write down the number that is a factor of 56

[1]

2 Rajiv is thinking of three consecutive even numbers less than 20

The product of these three numbers is between 1000 and 2000

Find the three numbers Rajiv is thinking of.

, and [1]

3 (a) Work out 45% of $285

$ [1]

(b) Eva buys a book for $5

She sells it for $6.50

Work out the percentage profit.

% [2]

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3

4 Here is a grid.
y

6
5
4
3
2
1
x
– 6 –5 – 4 –3 –2 –1 0 1 2 3 4 5 6
–1
–2
–3
–4
–5
–6
(a) A = (1, – 1), B = (– 5, – 2) and C = (– 3, 2)

Plot points A, B and C on the grid.

[1]

(b) ABCD is a parallelogram.

Find the coordinates of point D.

D= ( , ) [1]

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4

5 Write down the speed shown on the diagram.

80
60 100
40 120

20 140
km / h
0 160

km / h [1]

6 A road is 450 metres long.

(a) It takes a woman 5 minutes to walk along the road.

Work out the average speed of the woman.

Give your answer in metres per second.

metres per second [2]

(b) A bicycle travels along the road at an average speed of 5 metres per second.

Work out the time it takes the bicycle to travel along the road.
Give your answer in seconds.

seconds [1]

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5

7 Mike buys 8 cakes for $11.60

Calculate the cost of 5 cakes.

$ [2]

8 Complete these sentences.

A cube has faces.

A cylinder has vertices.

[1]

9 Angelique goes on a train journey from Aba to Ditta.

Here is a section of the train timetable.

Aba 09:42 10:28 11:05 11:42

Burra 09:50 – 11:13 –
Cadez 10:16 – 11:39 –
Ditta 10:37 11:07 12:00 12:21

The afternoon journeys have the same duration as the morning journeys.

Angelique catches the 12:53 train from Aba.

The train does not stop at Burra or Cadez.

Work out the time Angelique arrives in Ditta.

[2]

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10 Write the letter of each shape in the correct position in the table.

A B C D
One has been done for you.

Has at least one right angle Has no right angles

Has parallel sides D

Has no parallel sides

[1]

11 Find 3 32

[1]

12 Simplify.

7 3 1
(a) − +
x x x
[1]

y m
(b) +
x 2x
[2]

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13 Here are the spelling test results for the 25 students in Class A.

Score 4 5 6 7 8 9 10
Frequency 6 4 3 4 3 3 2

(a) Complete the table for Class A.

Class A
Mean 6.44
Mode
Median
Range 6
[2]

(b) Here is some information about Class B for the same test.

Class B
Mean 4.04
Mode 6
Median 4
Range 5

Draw a ring around the two best measures for comparing which class did better.

Mean Mode Median Range

[1]

(c) Tick () the class that has the better results overall.

Class A Class B

Explain your answer.

[1]

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14 One solution of the equation

x2 + 4x = 63

lies between 6 and 7

Use the method of trial and improvement to find this solution correct to 1 decimal place.
Show all your working in the table.
You may not need to use all the rows.

x x2 + 4x Too big or too small ?

6 60 Too small
7 77 Too big

x= [3]

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15 Yuri has a large rectangular card measuring 1.2 m by 0.8 m.

He wants to cut it up to make small rectangular cards each measuring 13 cm by 11.5 cm.

Work out the largest number of cards that he can make.

[3]

16 These are the ratios of iron to other materials in metal A and metal B.

iron : other materials

Metal A 2 : 27

Metal B 5 : 56

Tick () the metal that contains the greater proportion of iron.

Metal A Metal B

You must show your working.

[2]

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10

17 This frequency diagram shows the number of visits to the gym by 155 people in
September.

Number of people

0 10 20 30 40

1−5

6 − 10

Number 11 − 15
of visits
16 − 20

21 − 25

26 − 30

Work out how many people went to the gym more than 20 times.

Work out the class interval that contains the median number of visits.

[2]

18 Write decimal numbers in the spaces to make a true statement.

0.009 < < 0.01 < < 0.011

[2]

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11

19 The diagram shows shape A and shape B drawn on a grid.

4
A
3
B
2

x
–5 –4 –3 –2 –1 0 1 2 3 4 5 6 7
–1

–2

Describe fully the single transformation that transforms shape A to shape B.

[3]

20 Two points A and B have coordinates (–1, 4) and (3, 6).

Find the coordinates of the midpoint of AB.

( , ) [1]

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12

21 This is a triangular prism.

2 cm

5 cm NOT TO
3 cm SCALE

4 cm 2 cm

This is a net of the prism.

It is drawn on centimetre square paper.

Work out the surface area of the prism.

cm2 [1]

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13

22 Here is a multiplication with a mixed number missing.

5 3
× =
8 4

Work out the missing mixed number.

[1]

23 Lily has two bags.

Each bag contains four counters, as shown in the diagram.

1 1
2 3 1 3
3 2

She picks one counter from each bag and adds together the numbers on the counters.

Work out the probability that the total of her numbers is more than 3
You may find the table useful.

[2]

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24 The graph shows that the cost of electrical wire is proportional to the length of the wire.

20

15

Cost
10
(dollars)

0 x
0 1 2 3 4 5 6 7 8 9 10
Length (metres)

(a) Use the graph to find a formula for the cost, c dollars, of a length of wire, x metres.

c= [2]

(b) Calculate the cost of 23.4 m of wire.

$ [1]

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25 Cube A has a volume of 125 cm3.

Cube B has a side length of 125 cm.
Cube C has a surface area of 125 cm2.

Write cubes A, B and C in order of size starting with the smallest.

[2]

smallest largest

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