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.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
- 2.Round 0.006852 to 2 significant figures.
- 3.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 4.Simplify √8 + √18, giving your answer in the form k√2.
- 5.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.
- 6.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.
- 7.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 8.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 9.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.
- 10.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
- 11.Which of these is written correctly in standard form?
- 12.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 13.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.
- 14.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.
- 15.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.
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