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• Publicado : 13 de mayo de 2010

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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)

0580/02 0581/02

This document consists of 12 printed pages.

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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.

( )

[2]

0580/2, 0581/2 Jun 2003

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

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.

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]

0580/2, 0581/2 Jun 2003

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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

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]
0580/2, 0581/2 Jun 2003

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]...