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.Round 0.006482 to 2 significant figures.
- 2.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.
- 3.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
- 4.Work out the value of (√5)⁴
- 5.Work out 5⁰ + 5¹ + 5²
- 6.Work out √144 − 2 × 3 + √25
- 7.Work out 6² − 4².
- 8.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.
- 9.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 10.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
- 11.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 12.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.
- 13.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.
- 14.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 15.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.
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