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.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.
- 2.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 3.Work out the value of (√5)⁴
- 4.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.
- 5.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 6.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 7.Write 0.875 as a fraction in its simplest form.
- 8.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 9.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.
- 10.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 11.Write down the exact decimal value of the fraction 1/6.
- 12.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.
- 13.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 14.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 15.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
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