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.
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Number worksheet — GCSE Higher
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- 1.After a price increase of 10%, a laptop costs £330. Work out the original price.
- 2.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 3.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.
- 4.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.
- 5.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.
- 6.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
- 7.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.
- 8.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 9.Work out the value of .
- 10.Given that 2⁵ = 32, work out 2⁶.
- 11.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
- 12.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 13.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 14.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.
- 15.A car travels 100 km, correct to the nearest km, in a time of 2 hours, correct to the nearest 0.1 hour. Work out the average speed, in km/h, to the greatest degree of accuracy the bounds can guarantee.
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