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 2011 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 (KN/DJ) 35441/4 © UCLES 2011

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2 ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER. 1 Evaluate (a) 52.3 × 10 − 3.76 × 100,

Answer (b) 20 − 8 ÷ 2 + 1.

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Answer

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2

(a) Express 18% as a fraction in its lowest terms.

Answer (b) Write down an irrational number between 3 and 4.

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Answer

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© UCLES 2011

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3 3 Evaluate (a) 2 + 3 , 3 10

Answer (b) 1 3 ÷ 3. 5

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Answer

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4

Write down (a) a square number that is a factor of 75,

Answer (b) a cube number that is a multiple of 24.

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Answer

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© UCLES 2011

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4 5 An instrument is used to measure the height of an object above sea level. The height, in metres, is shown on the dial. (a) What is the reading on the dial? 0 –16 –32 +16 +32

– 48

+48

– 64 – 80 +80

+64

Answer

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

(b) The object moves from position A, where the dial reads −54, to position B, where the dial reads + 48. What is the difference in height between A and B?

Answer

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

6

Evaluate (a) 8 3 ,

2 –

Answer (b) 1 6

–2

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.

Answer

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5 7 (a) Using set notation, describe the shaded region in the Venn diagram.

A

B

C

Answer (b) In the Venn diagram, shade the region represented by Pʹ ∩ (Q ∪ R ).

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P

Q

R [1]

© UCLES 2011

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6 8 (a) A bag contains red and blue pens in the ratio 2 : 7. There are 18 red pens in the bag. How many blue pens are in the bag?

Answer (b) A box contains apples and oranges. The ratio of apples to oranges is 2 : 3. What percentage of the fruit are oranges?

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Answer

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9

Factorise completely (a) 12ab2 − 8a2b ,

Answer (b) 2x2 + 3x − 20 .

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Answer

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7 10 (a) Sara sets out on a journey at 10 50. She travels 65 km at an average speed of 20 km/h. At what time does she complete her journey?

Answer

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(b) Kevin takes T minutes to travel to work. Jane travels the same distance to work but goes 10% faster than Kevin. Find an expression, in terms of T, for the number of minutes that Jane takes to travel to work....