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.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
- 2.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 3.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
- 4.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 5.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.
- 6.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 7.Work out √3 × √12, giving your answer as an integer.
- 8.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 9.Write 5/6 as a decimal, showing clearly which digit recurs.
- 10.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 11.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 12.Which of these decimals lies between 1/4 and 2/5?
- 13.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 14.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
- 15.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
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