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.Write 12 as a product of its prime factors.
- 2.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 3.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 4.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 5.Find the missing number: ▢ ÷ 15 = 24
- 6.Which statement about the number 91 is correct?
- 7.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.
- 8.Round 592.5 to the nearest 10.
- 9.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
- 10.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
- 11.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 12.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 13.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
- 14.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.
- 15.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
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