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Candidate Number

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Centre Number

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0580/01

0581/01

MATHEMATICS

Paper 1

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CAMBRIDGE INTERNATIONAL EXAMINATIONS

International General Certificate of Secondary Education

May/June 2003

1 hour

Candidates answer on the Question Paper.

Additional Materials: Electronic calculator

Geometrical instruments

Mathematical tables (optional)

Tracing paper (optional)

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 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.

If working is needed for any question it must be shown below that question. 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 56.

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 9 printed pages and 3 blank pages. Ó CIE 2003

[Turn over

2

1

Work out

(a)

For

Examiner's

Use

7.13 + 2.9 3 , giving

your full calculator display,

Answer (a).……………….………

Answer (b).……………….………

(b)

2

[1]

[1]

your answer to 2 decimal places.

The diagram shows how the water level of a river went down during a drought.

2

2

1

1

0

0

-1

-1

-2

-2

-3

-3

-4

-4

The measurements are in metres.

(a)

By how many metres did the water level go down?

Answer (a).……………….………m

(b)

A heavy rainfall followed the drought and the water level went up by 1.6 metres. What was the water level after the rainfall?

Answer (b).……………….………m

3

(a)

[1]

Write in order of size, smallest first

0.68,

33

50

,

67%.

Answer (a) ………………. < ……………… < .……………….…… (b)

[1]

[1]

Convert 0.68 into a fraction in its lowest terms.

Answer (b).……………….………

0580/1, 0581/1 Jun 03

[1]

3

4

For

Examiner's

Use

Mahesh and Jayraj share $72 in the ratio 7:5.

How much does Mahesh receive?

Answer $.……………….………

5

The population of a city is 550 000.

It is expected that this population will increase by 42% by the year 2008. Calculate the expected population in 2008.

Answer .……………….………

6

[2]

[2]

Areeg goes to a bank to change $100 into riyals.

The bank takes $2.40 and then changes the rest of the money at a rate of $1 = 3.75 riyals. How much does Areeg receive in riyals?

Answer .……………….………riyals

Answer .……………….………

7

8

-2

(a)

(b)

[2]

Answer (a) y = .……………….………

Write down the value of (1 1 )

2

[2]

[1]

Answer (b) …………………….………

[1]

as a fraction.

y = 4uv - 3v .

Find the value of y when u = -3 and v = 2 .

Factorise 4uv - 3v .

0580/1, 0581/1 Jun 03

[Turn over

4

9

For

Examiner's

Use

Solve the equation

x + 4 = 3( 2 - x ) .

Answer x = .……………….………

10

[3]

There are approximately 500 000 grains of wheat in a 2 kilogram bag. (a)

Calculate the mass of one grain in grams.

Answer (a) .……………….………g

Answer (b) .……………….………g

(b)

[2]

[1]

Write your answer to part (a) in standard form.

11 Solve the simultaneous equations

3a + 2b = 7 ,

a - 2b = 5 .

Answer a = .……………….………

b = .……………….………

0580/1, 0581/1 Jun 03

[3]

5

12

For

Examiner's

Use

The diagram shows a pole of length l centimetres.

l cm...