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 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
- 2.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 3.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
- 4.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 5.After a price increase of 10%, a laptop costs £330. Work out the original price.
- 6.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 7.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
- 8.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.
- 9.Write 0.875 as a fraction in its simplest form.
- 10.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 11.Work out 35% of 180.
- 12.Round 592.5 to the nearest 10.
- 13.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 14.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 15.The two shorter sides of a right-angled triangle are √12 cm and √24 cm. Work out the exact length of the hypotenuse.
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