Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Number worksheet — GCSE Higher
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- 1.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 2.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 3.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.
- 4.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 5.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 6.The two shorter sides of a right-angled triangle are √12 cm and √24 cm. Work out the exact length of the hypotenuse.
- 7.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?
- 8.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.
- 9.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 10.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 11.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.
- 12.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.
- 13.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
- 14.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
- 15.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
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