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]