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.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 2.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.
- 3.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 4.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
- 5.Work out ∛64.
- 6.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
- 7.Work out the reciprocal of (2 + 3)
- 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.Write ∛(x²) as a single power of x.
- 10.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
- 11.Work out (−3) × 4 + 2 × (−5)
- 12.Work out the value of 6² − 4³.
- 13.Work out √144 − 2 × 3 + √25
- 14.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.
- 15.Work out ⁴√16
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