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.
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Number worksheet — GCSE Higher
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- 1.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.
- 2.Which of these statements about −0.7 and −0.25 is true?
- 3.Work out the value of 6² − 4³.
- 4.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.
- 5.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 6.Write 0.06 as a fraction in its simplest form.
- 7.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.
- 8.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 9.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.
- 10.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 11.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.
- 12.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 13.Write 200 as a product of its prime factors, using index notation.
- 14.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
- 15.Write down the symbol that makes this statement true: −2/3 ___ −5/6
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