Candidate Centre Number Number Candidate Name InternationalGeneral Certificate of Secondary Education UNIVERSITY OF CAMBRIDGE LOCAL EXAMINATIONS SYNDICATE MATHEMATICS 0580/3,0581/3 PAPER 3 Wednesday 9 JUNE 1999 Afternoon 2 hours Candidates answer on the question paper. Additional materials: Electronic calculator Geometrical instruments Mathematical tables (optional) Tracing paper (optional) TIME 2 hours INSTRUCTIONSTO 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 below that question. 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 104. 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 T, use either your calculator value or 3.142. FOR EXAMINER’S USE This question paper consists of 10 printed pages and 2 blank pages. MFK (0710) QF91682 0 UCLES 1999 [Turn over
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Candidate Centre Number Number
Candidate Name
International General Certificate of Secondary Education UNIVERSITY OF CAMBRIDGE LOCAL EXAMINATIONS SYNDICATE
MATHEMATICS 0580/3,0581/3 PAPER 3 Wednesday 9 JUNE 1999 Afternoon 2 hours
Candidates answer on the question paper. Additional materials:
Electronic calculator Geometrical instruments Mathematical tables (optional) Tracing paper (optional)
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 below that question.
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 104. 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 T , use either your calculator value or 3.1 42.
FOR EXAMINER’S USE
This question paper consists of 10 printed pages and 2 blank pages. MFK (0710) QF91682 0 UCLES 1999 [Turn over
2
1 (a) The normal price of 24 cans of orange drink is $14.40. A supermarket makes a special offer of 24 cans for $9.84.
(i) What is the price reduction per can in the special offer? Give your answer in cents.
[21 In 1975,46% of the population of Kenya were aged less than 15 years. In 1995 the figure was 50%. Draw bars to show this information on the bar chart.
What is different about the figures for Kenya compared with the other five countries?
Complete the table of values for the equation y = &x + 1.
Draw the graph ofy = $x + 1 on the grid above, for 0 6 x 6 6.
Use the graphs to solve the simultaneous equations
x + y = 5 and y = ; x + l ,
giving the value of x and the value of y correct to one decimal place.
Answer (b)(iii) x = ................., y = .................
(c) Use algebra to solve exactly the simultaneous equations
x + y = 5 ,
y = ; x + 1.
Show all your working.
Answer (c) x = .................................................
y = .................................................
O580/3,051(1/3iS99 [Turn over
For
Use . Examiner’s
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9 The table shows the values of 7p + 5q for different values o fp and q. For example, i fp = 3 and q = 2, then 7p + 5q = 7 x 3 + 5 x 2 = 31. This is ringed in the table.
Write the two missing values in the table. E21
Most of the numbers between 10 and 30 appear in the table. List the missing numbers.
............................................................................................................................... Answer (b) PI Describe the pattern of numbers that you can see in any line going diagonally down the page