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

4024/12

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 (CW/SW) 49517/2 © UCLES 2012

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2 ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER. 1 (a) Express 72% as a fraction in its lowest terms. For Examiner’s Use

Answer (b) Write down two fractions that are equivalent to 0.4 .

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

Answer ............... and ............... [1] 2 The temperature in a freezer is –18 °C. The outside temperature is 24 °C. (a) Find the difference between the outside temperature and the freezer temperature.

Answer

................................°C [1]

(b) The temperature in a fridge is 22 °C warmer than the freezer temperature. Find the temperature in the fridge.

Answer

................................°C [1]

© UCLES 2012

4024/12/M/J/12

3 3 (a) On the grid below, draw a quadrilateral with no rotational symmetry and just 1 line of symmetry. For Examiner’s Use

[1] (b) Complete this description. A parallelogram has rotational symmetry of order ........................... and ........................... lines of symmetry. 4 (a) A bag contains red and blue counters in the ratio 3 : 8. There are 24 blue counters in the bag. How many red counters are there? [1]

Answer (b) Amy and Ben share $360 in the ratio 3 : 2. How much is Ben’s share?

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

Answer $ ................................... [1]

© UCLES 2012

4024/12/M/J/12

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4 5 y is inversely proportional to the square of x. Given that y = 2 when x = 6, find the value of y when x = 2. For Examiner’s Use

Answer y = ............................... [2] 6 A circle of diameter 6 cm is cut from a square of side 8 cm. Find an expression, in the form a – bπ , for the shaded area. 6 8

Answer

..............................cm2 [2]

© UCLES 2012

4024/12/M/J/12

5 7 (a) Solve x+2 3 2.

For Examiner’s Use

Answer (b) Write down all the integers that satisfy this inequality. –1 4y + 3 11

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

Answer 8

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

The length of a rectangular rug is given as 0.9 m, correct to the nearest ten centimetres. The width of the rug is given as 0.6 m, correct to the nearest ten centimetres. (a) Write down the upper bound, in metres, of the length of the rug.

Answer (b) Find the lower bound, in metres, of the perimeter of the rug.

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

Answer

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

© UCLES 2012

4024/12/M/J/12

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6 9 (a) Evaluate 2 3. + 5 8

For Examiner’s Use

Answer

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

2 1 (b) Evaluate 1 × 2 , giving your answer as a mixed number in its lowest terms. 3 4

Answer 10 (a) Evaluate 6 × 3 + 8 ÷ 2 .

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

Answer

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

(b) By writing each number correct to 1 significant figure, estimate the value of 19.2 × 9.09 . 0.583

Answer...