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
MathsUKwww.geekhero.co.uk
- 1.Work out 3.7 × 24.
- 2.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.
- 3.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.
- 4.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 5.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 6.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
- 7.Work out how many factors 100 has.
- 8.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
- 9.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 10.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
- 11.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 12.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.
- 13.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 14.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.
- 15.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.
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