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.Simplify (y³)⁴, giving your answer as a single power of y.
- 2.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
- 3.Work out 100 − 4 × 5²
- 4.Work out √225 ÷ 3.
- 5.Simplify √8 + √18, giving your answer in the form k√2.
- 6.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.
- 7.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.
- 8.Write 0.36 as a fraction in its simplest form.
- 9.Write 60 as a product of its prime factors, using index notation.
- 10.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 11.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.
- 12.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 13.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 14.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 15.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.
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