Ritvik

Centre Number

Candidate Number

Name

CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MATHEMATICS Paper 2 May/June 2003 1 hour 30 minutes
Candidates answer on the Question Paper. Additional Materials: Electronic calculator Geometric instruments Mathematical tables (optional) Tracing paper (optional)

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READ THESEINSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen in the spaces provided on the Question Paper. You may use a soft pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all questions. The number of marks is given in brackets [ ] at the end of each question or partquestion. If working is needed for any question it must be shown below that question. The total of the marks for this paper is 70. Electronic calculators should be used. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For π, use either your calculator value or 3.142.For Examiner’s Use If you have been given a label, look at the details. If any details are incorrect or missing, please fill in your correct details in the space given at the top of this page. Stick your personal label here, if provided.

This document consists of 12 printed pages.
MCS-UCB217-S34076/3 © CIE 2003

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2 1 Write in order of size, smallest first, 5 98 , 0.049, 5%.Answer ..............`..............`................... [2]

For Examiner’ s use

2

The graph below can be used to convert between euros (e) and pounds (£).

6

4 Pounds (£) 2

0

2

4 Euros (e)

6

8

10

(a) Change £5 into euros. Answer (a) e .......................................... [1] (b) Change e90 into pounds. Answer (b) £.......................................... [1]

3

The top speed of a car is 54 metres per second. Change this speed into kilometres per hour. Answer ..........................................km h [2]

4

a=

2 5 and b = . −3 −1

Find 3a 0 2b.

Answer

( )

[2]

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3 5 The ratios of teachers : male students : female students in a school are 2 : 17 : 18. The total number of students is 665.Find the number of teachers.

For Examiner’ s use

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

6

A rectangular field is 18 metres long and 12 metres wide. Both measurements are correct to the nearest metre. Work out exactly the smallest possible area of the field.

Answer..............................................m 2 [2]

7

Solve the inequality

3 ` 2x 0 5 `7.

Answer ................. ` x ` ....................... [2]

8

Complete this table of squares and cubes. The numbers are not in sequence. Number 3 ....... ....... ....... Square 9 121 ....... ....... Cube 27 ....... 2744 0343 [3]

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4 9 y 4 3 2 A 1 0 –1 –2 (a) Find the gradient of the line AB. Answer (a)............................................. [1] (b) Calculate the angle that AB makes with the x-axis. Answer (b) ............................................. [2] 1 2 3 4 5 6 x B

For Examiner’ s use

–3

–2

–1

10

Work out as a single fraction 1 2 − . x−3 x+4

Answer .................................................. [3]

11

Write each of these four numbers in the correct place in the Venn Diagram below. 2.6, 4 ,17

√12,

√

112 7

Rational numbers

Integers

[4]
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5 12 B NOT TO SCALE

For Examiner’ s use

A

2p° q° O

3p°

C

5q° D E A, B, C, D and E lie on a circle, centre O. AOC is a diameter. Find the value of (a) p,

Answer (a) p # ...................................... [2] (b) q.

Answer (b) q # ...................................... [2]...