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.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 2.Work out 3 + 4 × (−2).
- 3.√700 lies between which two consecutive integers?
- 4.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.
- 5.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
- 6.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
- 7.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 8.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?
- 9.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
- 10.2/3 of an amount of money is £30. Work out the amount.
- 11.Simplify (y³)⁴, giving your answer as a single power of y.
- 12.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 13.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.
- 14.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.
- 15.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
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