Candidate Number

CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

MATHEMATICS (SYLLABUS D)

PAPER 1

4024/1

Rupee version

MAY/JUNE SESSION 2002

2 hours

Candidates answer on the question paper. Additional materials: Geometrical instruments

TIME

2 hours

INSTRUCTIONS TO CANDIDATES Write your name, Centre number and candidate number in the spaces at the top of this page. Answer all questions. Write your answers in the spaces provided on the question paper. 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. NEITHER ELECTRONIC CALCULATORS NOR MATHEMATICAL TABLES MAY BE USED IN THIS PAPER. INFORMATION FOR CANDIDATES 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.

FOR EXAMINER’S USE

This question paper consists of 16 printed pages.

SP (SC/D&G) S29101/2 © CIE 2002

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For Examiner’s Use

2 NEITHER ELECTRONIC CALCULATORS NOR MATHEMATICAL TABLES MAY BE USED IN THIS PAPER. 1 (a) Calculate the value of 0.1 × 0.06. (b) Find the decimal number exactly halfway between 1.01 and 1.02.

For Examiner’s Use

Answer (a) ........................................... [1] (b) ........................................... [1] 2 Giving the answer as simply as possible, calculate (a) 3 – 1 , – – 4 3 (b) 2 of 15 . – –– 5 16

Answer (a) ........................................... [1] (b) ........................................... [1] 3 (a) Calculate the value of 9 + 90. (b) The reciprocal of 2-3 is 2n. Write down the value of n. W

Answer (a) ........................................... [1] (b) n = ..................................... [1] 4024/1/M/J/02

For Examiner’s Use

3 4 (a) Calculate the value of 16 – 8 ÷ 2. (b) Express 0.0032 in standard form.

For Examiner’s Use

Answer (a) ........................................... [1] (b) ........................................... [1] 5 Mr. Smith asked the children in his class ‘What is your favourite colour?’ Their replies are given below. Green Green Yellow Blue Green Blue Red Green Blue Blue Green Blue Yellow Green Green Yellow Green Blue Blue Yellow Blue Blue Yellow Yellow Blue

(a) By making tally marks, or otherwise, obtain the frequency distribution of the colours. Answer (a) Colour Green Blue Red Yellow [1] (b) State the mode of this distribution. 6 P is the point (1, 1) and Q is the point (5, –2). (a) A translation maps P onto Q. Write down the column vector which represents this translation. (b) Find the coordinates of the midpoint of PQ. Answer (b) ........................................... [1] Frequency

Answer (a) (b)

4024/1/M/J/02

[1] (.............. , ..............) [1]

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For Examiner’s Use

4 7 The diagram shows a lighthouse, L, and two ports P and Q. ˆ Q is due east of L and PLQ = 80°. P and Q are each 10 km from L. Find ˆ (a) LQP, (b) the bearing of Q from P, (c) the bearing of L from P. P L 80° Q N

For Examiner’s Use

Answer (a) ........................................... [1] (b) ........................................... [1] (c) ........................................... [1] 8 Solve the simultaneous equations 2y = 3x – 13, 5x – 6y = 23.

Answer x = ........................................... [1] y = ........................................... [3] 4024/1/M/J/02

For Examiner’s Use

5 9 There are 50 people on a tour. One day, 26 people went on the morning cruise and 29 to the evening barbecue. Using Venn diagrams, or otherwise, answer the following questions. (a) It was thought that 4 people went to both events and 1 person to neither. Explain why this was not possible.

For Examiner’s Use

Answer (a) ........................................................................................................................................