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.Work out (−36) ÷ (−6) × 2
- 2.Round 592.5 to the nearest 10.
- 3.Work out 3³ + 2⁴.
- 4.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.
- 5.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 6.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 7.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 8.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 9.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 10.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.
- 11.Work out 6² − 4².
- 12.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.
- 13.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.
- 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.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
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