CAMBRIDGE IGCSE
TEST 2
NAME
MATHEMATICS
0580
UNIT 1: NUMBERS AND LANGUAGES :
• INTEGERS, DECIMALS, PERCENTAGES AND FRACTION
• FURTHER PERCENTAGES
• RATIO AND PROPORTION
DURATION: 40 MINUTES
INFORMATION:
• The total marks for this paper are
• This document contains
pages
• The numbers of marks for each question is shown in brackets [ ]
Q1. Jim has only 5p coins and 10p coins.
The ratio of the number of 5p coins to the number of 10p coins is 2 : 3
Work out the ratio of the total value of the 5p coins : the total value of the 10p coins.
Give your answer in its simplest form.
………………………………….
[4]
Q2. An adult ticket for a museum is £15.00 A child ticket costs 60% of the price of an adult
ticket.
Mrs Jenkins and her three children go to the museum.
Mrs Jenkins pays with three £20 notes.
How much change will she receive?
…………………………………………. [2]
Q3. Work out the following:
(a) Decrease 40 by 10%
……………………………..
(b) Decrease 30 hours by 50% …………………………….
(c) Decrease 8kg by 25%
…………………………..
[3]
Q4. Work out
(a) 120 ÷ 0.3 .........................
(b) 14.04 ÷ 6 .........................
(c) 0.845 ÷ 5 ……………………..
[3]
Q5. 320 of the 800 people are under 21 years old.
(c) Work out 320 out of 800 as a percentage.
………………………%
[2]
Q6. There are 800 fans at a rugby match between Armagh and Malone.
30% of the fans support Malone.
How many fans support Malone?
…………………………… [2]
Q7. Mary wins £400.
She gives 50% to her mother.
Mary gives 20% to her sister.
She keeps the rest.
Work out how much each person receives.
Mother £........................
Sister £........................
Mary £........................ [3]
Q8. Complete these additions
(a) 6.5 + 1.73
…………………….
(b) 0.56 + 1.6
……………………….
(c) 2.45 + 7.8
………………………
(d) 8.67 + 3.9
……………………..
[4]
Q9. The lengths of time that it takes to complete a jigsaw are below.
0.5 hours, 1.25 hours, 100 minutes, 0.75 hours, 40 minutes, 2 hours, 1.5 hours, 180 minutes, 61
minutes, 0.25 hours.
(a) Arrange the times in order, from quickest to longest.
……………………………..
(b) What fraction of the people completed the jigsaw in under 1 hour?
(c) What percentage of people took 2 hours or longer?
…………………………….
……………………………….
[6]
Q10. Place the correct sign, < or > between the following pairs of decimals
[3]
Q11. Ann and Bob shared £240 in the ratio 3 : 5
Ann gave a half of her share to Colin.
Bob gave a tenth of his share to Colin.
What fraction of the £240 did Colin receive?
…………………………………
[2]
Q12. (a) (i) Write as a percentage. .....................................%
(ii) Write 0.8 as a percentage. .....................................% (2)
(b) Write 76% as a decimal. ..................................... (1)
(c) Write 45% as a fraction. Give your answer in its simplest form. ..................................... (2)
Q13. Holly is saving money.
In January, she saves £15.15
In February, she saves £8.82
In March, Holly saves £13.37
Work out how much she has saved in total.
Q14. There are 220 students in Year 7.
15% cycle to school.
60% are driven to school.
The rest walk to school.
(a) How many students cycle to school?
………………………………….
[2]
(b) How many students are driven to school?
(c) How many students walk to school?
[3]
………………………….
Q15. Mrs Webb has a roll of ribbon that is 44.1m long.
She needs strips of ribbon that are 2.5m long
How many 2.5m strips will Mrs Webb get from the roll?
[2]
………………………
Q16. An adult ticket for the cinema costs £13.40
A child ticket is half the price of an adult ticket.
Mr and Mrs Henderson and their six children go to see a movie.
Mrs Henderson has a voucher for 18% off.
Work out how much Mrs Henderson pays for the tickets.
[3]
………………………………
Q17. Work out
(a) Decrease 55cm by 40%
……………………….
(b) Decrease 64 by 75%
………………………
(c) Decrease £3 by 10%
…………………………..
(d) Decrease 1400 by 30%
………………………….
(e) Decrease 500g by 3%
……………………………
(f) Decrease 6kg by 5%
……………………………..
[6]