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.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 2.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.
- 3.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 4.Which of these statements about −0.7 and −0.25 is true?
- 5.Work out the value of √(16 + 9)
- 6.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
- 7.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 8.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.
- 9.Work out the value of 6² − 4³.
- 10.Work out the value of 2⁻⁴
- 11.Work out the value of √49 + ∛27
- 12.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?
- 13.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
- 14.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.
- 15.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.
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