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.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
- 2.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 3.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.
- 4.Work out (−36) ÷ (−6) × 2
- 5.Which of these statements about −0.7 and −0.25 is true?
- 6.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 7.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.
- 8.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.
- 9.√700 lies between which two consecutive integers?
- 10.The radius of a circular pond is given as 3.2 m, correct to 1 decimal place. Calculate the upper bound for the area of the pond, giving your answer correct to 3 significant figures.
- 11.Work out 5⁰ + 5¹ + 5²
- 12.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.
- 13.Work out ∛64.
- 14.Write 0.325 as a fraction in its simplest form.
- 15.A car travels 100 km, correct to the nearest km, in a time of 2 hours, correct to the nearest 0.1 hour. Work out the average speed, in km/h, to the greatest degree of accuracy the bounds can guarantee.
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