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.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 2.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.
- 3.Write 90 as a product of its prime factors.
- 4.Work out (−6) + (−4) × 3
- 5.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.
- 6.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.
- 7.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?
- 8.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 9.Work out 35% of 180.
- 10.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.
- 11.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?
- 12.Work out ⁴√16
- 13.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 14.Simplify (y³)⁴, giving your answer as a single power of y.
- 15.Simplify √45.
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