UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

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MATHEMATICS (SYLLABUS D) Paper 1 Candidates answer on the Question Paper. Additional Materials: Geometrical instruments

4024/11

May/June 2012 2 hours

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 pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. If working is needed for any question it must be shown in the space below that question. Omission of essential working will result in loss of marks. ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 80.

This document consists of 20 printed pages.

DC (NH/SW) 49516/2 © UCLES 2012

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2 ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER. 1 (a) On the diagram below, shade two more squares to make a pattern that has rotational symmetry of order 2. For Examiner’s Use

[1]

(b) On the diagram below, shade two more squares to make a pattern that has only one line of symmetry.

[1]

2

(a) Evaluate 8 – 5 × 4 + 3.

Answer (b) Express 1.03 as a percentage of 1.

..................................... [1]

Answer

.................................% [1]

© UCLES 2012

4024/11/M/J/12

3 3 (a) The diagram shows the fuel gauge in Abid’s car.

1 2 1 4 3 4 For Examiner’s Use

0

1

The tank contains 50 litres when it is full. Estimate the number of litres in the tank.

Answer (b) The diagram shows the fuel gauge in Ben’s car.

1 2 1 4 3 4

............................ litres [1]

0

1

Draw an arrow on the gauge above to indicate that the tank is approximately 4 full. 5

[1]

4

Factorise completely (a) 12x2 – 15x3,

Answer (b) x2 – x – 6.

..................................... [1]

Answer

© UCLES 2012 4024/11/M/J/12

..................................... [1] [Turn over

4 5 An empty lorry has a mass of 4.3 tonnes, correct to the nearest tenth of a tonne. (a) What is the lower bound for the mass of the empty lorry? For Examiner’s Use

Answer

..........................tonnes [1]

(b) The total mass of the lorry and its load is 6.8 tonnes, correct to the nearest tenth of a tonne. Find the upper bound for the mass of the load.

Answer

..........................tonnes [1]

6

22 Given that π = 3.141592654, find the difference between 7 and π, correct to two significant figures. Show your working.

Answer

..................................... [2]

© UCLES 2012

4024/11/M/J/12

5 7 (a) Jane puts some red balloons and some blue balloons into a bag. The ratio of red balloons to blue balloons is 3 : 4. There are 84 balloons in the bag. How many blue balloons are in the bag? For Examiner’s Use

Answer (b) At a party the ratio of boys to girls is 5 : 4. There are 40 boys at the party. Find the total number of children at the party.

..................................... [1]

Answer

..................................... [1]

8

These two triangles are congruent. The lengths are in centimetres. 46° m 11 n 12 46° 73°

61°

9

Find m and n.

Answer m = ................................... n = .............................. [2]

© UCLES 2012

4024/11/M/J/12

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6 9 Buses following route A leave the bus station every five minutes. Buses following route B leave the bus station every six minutes. Buses following route C leave the bus station every nine minutes. Three buses, following routes A, B and C, leave together at 13 00. What is the next time when buses following all three routes leave the bus station together? For Examiner’s Use

Answer...