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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.Write 0.325 as a fraction in its simplest form.
- 2.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 3.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?
- 4.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.
- 5.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.
- 6.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 7.Which of these is written correctly in standard form?
- 8.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 9.Work out the value of 2⁻²
- 10.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
- 11.Given that 2⁵ = 32, work out 2⁶.
- 12.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.
- 13.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.
- 14.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.
- 15.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.
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