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.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.
- 2.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.
- 3.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 4.Work out 4368 ÷ 12.
- 5.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.
- 6.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
- 7.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
- 8.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 9.Find the missing number: 17 × ▢ = 391
- 10.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 11.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?
- 12.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 13.Work out 3.7 × 24.
- 14.Work out (5 + 2) × 3²
- 15.Work out the reciprocal of (2 + 3)
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