Cambridge checkpoint maths p1 specimen 2012
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This document is a specimen paper for the Cambridge Checkpoint Mathematics exam. It consists of 12 multiple choice and short answer questions testing a range of mathematical skills including: calculations with decimals, percentages and fractions; geometry; graphs; statistics; algebra; and number properties. The paper is designed to be completed in 1 hour without the use of a calculator.
![UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
Cambridge Checkpoint
MATHEMATICS 1112/01
Paper 1 For Examination from 2012
SPECIMEN PAPER
1 hour
Candidates answer on the Question Paper.
Additional Materials: Geometrical Instruments
Tracing Paper
READ THESE INSTRUCTIONS FIRST
For Examiner's Use
Write your Centre number, candidate number and name on the work you hand in. 1
Write in dark blue or black pen.
You may use a pencil for any diagrams, graphs or rough working. 2
Do not use staples, paper clips, highlighters, glue or correction fluid.
3
Answer all questions.
4
NO CALCULATOR ALLOWED.
5
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 6
question.
The total number of marks for this paper is 50. 7
8
9
10
11
12
Total
This document consists of 12 printed pages.
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![2
1 (a) Work out. For
Examiner's
Use
(i) 483.7 ÷ 100
[1]
(ii) 9.27 × 0.1
[1]
(iii) 15.06 ÷ 0.001
[1]
(b) Write 276.5246
(i) correct to two decimal places
[1]
(ii) correct to two significant figures.
[1]
© UCLES 2011 1112/01/SP/12](https://image.slidesharecdn.com/cambridgecheckpointmathsp1specimen2012-120814064921-phpapp01/85/Cambridge-checkpoint-maths-p1-specimen-2012-2-320.jpg)
![3
23 For
2 (a) Write as a mixed number. Examiner's
6 Use
[1]
1
(b) Work out of 96
8
[1]
(c) Complete each statement with the correct symbol.
= < >
7
(i) 70% [1]
10
15 1
(ii) [1]
100 5
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![4
3 (a) Work out 304.7 – 156.2 For
Examiner's
Use
[1]
(b) Work out 12.5 ÷ 7
Give your answer correct to two decimal places.
[2]
(c) Carlos has 4.5 m of cable.
He uses a 1.65 m piece and a 2.08 m piece.
Work out how much cable Carlos has left.
m [2]
© UCLES 2011 1112/01/SP/12](https://image.slidesharecdn.com/cambridgecheckpointmathsp1specimen2012-120814064921-phpapp01/85/Cambridge-checkpoint-maths-p1-specimen-2012-4-320.jpg)
![5
4 In the diagram, PRS is a triangle and QT is parallel to RS. For
Examiner's
Use
P
b°
NOT TO
SCALE
42° 65°
T Q
a°
c°
S R
(a) Work out the sizes of angles a and b.
(i) a = [1]
(ii) b = [1]
(b) Work out the size of angle c.
Give a reason for your answer.
c= because [2]
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![6
5 (a) Work out. For
Examiner's
Use
(i) 0.6 × 9
[1]
(ii) 6.14 × 0.4
[1]
(b) Use the fact that
57.2 × 13.15 = 752.18
to write down the answers to the following.
(i) 572 × 1315
[1]
(ii) 75.218 ÷ 57.2
[1]
(c) Here is part of Naomi’s maths homework.
342 × 0.96 = 382.32
Naomi’s answer is wrong.
Explain how you can tell she is wrong without working out the correct answer.
[1]
© UCLES 2011 1112/01/SP/12](https://image.slidesharecdn.com/cambridgecheckpointmathsp1specimen2012-120814064921-phpapp01/85/Cambridge-checkpoint-maths-p1-specimen-2012-6-320.jpg)
![7
6 Here are the heights, given to the nearest centimetre, of a group of 13-year-old boys. For
Examiner's
Use
156 164 174 166 156 158 168 165
159 152 171 164 161 160 162 161
(a) Complete the frequency table to summarise the heights of the boys.
Height (h cm) Tally Frequency
150 < h ≤ 155
155 < h ≤ 160
160 < h ≤ 165
165 < h ≤ 170
170 < h ≤ 175
[2]
(b) Complete the frequency polygon to summarise the heights of the boys.
8
7
6
5
frequency 4
3
2
1
0
150 155 160 165 170 175
height (h cm) [2]
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![8
7 (a) Complete these statements. For
Examiner's
Use
(i) 2584 centimetres = metres [1]
(ii) 5.6 tonnes = kilograms [1]
(b) The distance from London to Birmingham is about 100 miles.
Approximately how many kilometres is it from London to Birmingham?
kilometres [1]
(c) A jug contains 1.6 litres of milk.
Simon divides the milk equally between 8 glasses.
Work out how much milk is in each glass.
Give your answer in millilitres.
millilitres [2]
© UCLES 2011 1112/01/SP/12](https://image.slidesharecdn.com/cambridgecheckpointmathsp1specimen2012-120814064921-phpapp01/85/Cambridge-checkpoint-maths-p1-specimen-2012-8-320.jpg)
![9
8 (a) Simplify 3a + 4a – a For
Examiner's
Use
[1]
(b) Factorise 2b2 – 5b
[1]
(c) Solve these equations.
(i) 6x = 18
x= [1]
(ii) 5x = 4 – 3x
x= [2]
© UCLES 2011 1112/01/SP/12 [Turn over](https://image.slidesharecdn.com/cambridgecheckpointmathsp1specimen2012-120814064921-phpapp01/85/Cambridge-checkpoint-maths-p1-specimen-2012-9-320.jpg)
![10
9 (a) Complete this table of values for y = 8 – 2x For
Examiner's
Use
x –1 0 2 4
y 10 0
[1]
(b) Use your table to draw the graph of y = 8 – 2x
y
12
11
10
9
8
7
6
5
4
3
2
1
x
–2 –1 0 1 2 3 4 5
[2]
(c) The line L passes through the point (1, 2).
The gradient of line L is 3.
Draw line L on the grid. [2]
© UCLES 2011 1112/01/SP/12](https://image.slidesharecdn.com/cambridgecheckpointmathsp1specimen2012-120814064921-phpapp01/85/Cambridge-checkpoint-maths-p1-specimen-2012-10-320.jpg)
![11
10 A group of students is asked how long they spend doing homework. For
Examiner's
The pie charts summarise the results. Use
girls boys
2 hours 5 hours 1 hour
6 hours
3 hours 2 hours
5 hours 4 hours
4 hours 3 hours
Use the pie charts to decide whether each statement is true, false or there is not
enough information to decide.
Give a reason for each choice.
(a) All of the boys spend less than 6 hours doing homework.
True False Not enough information
Reason [1]
(b) The total number of boys is the same as the total number of girls.
True False Not enough information
Reason [1]
(c) The boys’ mode is 6 hours.
True False Not enough information
Reason [1]
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![12
11 (a) Using only these numbers, complete the statements. For
Examiner's
Use
3 5 6 24 30 60
(i) and are factors of 12. [1]
(ii) and are multiples of 15. [1]
(b) Work out.
3
(i) 125
[1]
(ii) 24
[1]
(iii) 50
[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 1112/01/SP/12](https://image.slidesharecdn.com/cambridgecheckpointmathsp1specimen2012-120814064921-phpapp01/85/Cambridge-checkpoint-maths-p1-specimen-2012-12-320.jpg)
Cambridge checkpoint maths p1 specimen 2012
- 1. UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge Checkpoint MATHEMATICS 1112/01 Paper 1 For Examination from 2012 SPECIMEN PAPER 1 hour Candidates answer on the Question Paper. Additional Materials: Geometrical Instruments Tracing Paper READ THESE INSTRUCTIONS FIRST For Examiner's Use Write your Centre number, candidate number and name on the work you hand in. 1 Write in dark blue or black pen. You may use a pencil for any diagrams, graphs or rough working. 2 Do not use staples, paper clips, highlighters, glue or correction fluid. 3 Answer all questions. 4 NO CALCULATOR ALLOWED. 5 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 6 question. The total number of marks for this paper is 50. 7 8 9 10 11 12 Total This document consists of 12 printed pages. © UCLES 2011 [Turn over
- 2. 2 1 (a) Work out. For Examiner's Use (i) 483.7 ÷ 100 [1] (ii) 9.27 × 0.1 [1] (iii) 15.06 ÷ 0.001 [1] (b) Write 276.5246 (i) correct to two decimal places [1] (ii) correct to two significant figures. [1] © UCLES 2011 1112/01/SP/12
- 3. 3 23 For 2 (a) Write as a mixed number. Examiner's 6 Use [1] 1 (b) Work out of 96 8 [1] (c) Complete each statement with the correct symbol. = < > 7 (i) 70% [1] 10 15 1 (ii) [1] 100 5 © UCLES 2011 1112/01/SP/12 [Turn over
- 4. 4 3 (a) Work out 304.7 – 156.2 For Examiner's Use [1] (b) Work out 12.5 ÷ 7 Give your answer correct to two decimal places. [2] (c) Carlos has 4.5 m of cable. He uses a 1.65 m piece and a 2.08 m piece. Work out how much cable Carlos has left. m [2] © UCLES 2011 1112/01/SP/12
- 5. 5 4 In the diagram, PRS is a triangle and QT is parallel to RS. For Examiner's Use P b° NOT TO SCALE 42° 65° T Q a° c° S R (a) Work out the sizes of angles a and b. (i) a = [1] (ii) b = [1] (b) Work out the size of angle c. Give a reason for your answer. c= because [2] © UCLES 2011 1112/01/SP/12 [Turn over
- 6. 6 5 (a) Work out. For Examiner's Use (i) 0.6 × 9 [1] (ii) 6.14 × 0.4 [1] (b) Use the fact that 57.2 × 13.15 = 752.18 to write down the answers to the following. (i) 572 × 1315 [1] (ii) 75.218 ÷ 57.2 [1] (c) Here is part of Naomi’s maths homework. 342 × 0.96 = 382.32 Naomi’s answer is wrong. Explain how you can tell she is wrong without working out the correct answer. [1] © UCLES 2011 1112/01/SP/12
- 7. 7 6 Here are the heights, given to the nearest centimetre, of a group of 13-year-old boys. For Examiner's Use 156 164 174 166 156 158 168 165 159 152 171 164 161 160 162 161 (a) Complete the frequency table to summarise the heights of the boys. Height (h cm) Tally Frequency 150 < h ≤ 155 155 < h ≤ 160 160 < h ≤ 165 165 < h ≤ 170 170 < h ≤ 175 [2] (b) Complete the frequency polygon to summarise the heights of the boys. 8 7 6 5 frequency 4 3 2 1 0 150 155 160 165 170 175 height (h cm) [2] © UCLES 2011 1112/01/SP/12 [Turn over
- 8. 8 7 (a) Complete these statements. For Examiner's Use (i) 2584 centimetres = metres [1] (ii) 5.6 tonnes = kilograms [1] (b) The distance from London to Birmingham is about 100 miles. Approximately how many kilometres is it from London to Birmingham? kilometres [1] (c) A jug contains 1.6 litres of milk. Simon divides the milk equally between 8 glasses. Work out how much milk is in each glass. Give your answer in millilitres. millilitres [2] © UCLES 2011 1112/01/SP/12
- 9. 9 8 (a) Simplify 3a + 4a – a For Examiner's Use [1] (b) Factorise 2b2 – 5b [1] (c) Solve these equations. (i) 6x = 18 x= [1] (ii) 5x = 4 – 3x x= [2] © UCLES 2011 1112/01/SP/12 [Turn over
- 10. 10 9 (a) Complete this table of values for y = 8 – 2x For Examiner's Use x –1 0 2 4 y 10 0 [1] (b) Use your table to draw the graph of y = 8 – 2x y 12 11 10 9 8 7 6 5 4 3 2 1 x –2 –1 0 1 2 3 4 5 [2] (c) The line L passes through the point (1, 2). The gradient of line L is 3. Draw line L on the grid. [2] © UCLES 2011 1112/01/SP/12
- 11. 11 10 A group of students is asked how long they spend doing homework. For Examiner's The pie charts summarise the results. Use girls boys 2 hours 5 hours 1 hour 6 hours 3 hours 2 hours 5 hours 4 hours 4 hours 3 hours Use the pie charts to decide whether each statement is true, false or there is not enough information to decide. Give a reason for each choice. (a) All of the boys spend less than 6 hours doing homework. True False Not enough information Reason [1] (b) The total number of boys is the same as the total number of girls. True False Not enough information Reason [1] (c) The boys’ mode is 6 hours. True False Not enough information Reason [1] © UCLES 2011 1112/01/SP/12 [Turn over
- 12. 12 11 (a) Using only these numbers, complete the statements. For Examiner's Use 3 5 6 24 30 60 (i) and are factors of 12. [1] (ii) and are multiples of 15. [1] (b) Work out. 3 (i) 125 [1] (ii) 24 [1] (iii) 50 [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 1112/01/SP/12