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.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
- 2.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
- 3.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.
- 4.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 5.Given that 2⁵ = 32, work out 2⁶.
- 6.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.
- 7.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 8.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
- 9.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 10.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.
- 11.Write 0.005 in standard form.
- 12.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 13.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
- 14.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
- 15.Simplify (y³)⁴, giving your answer as a single power of y.
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