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 circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 2.Write 200 as a product of its prime factors, using index notation.
- 3.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.
- 4.Write 0.875 as a fraction in its simplest form.
- 5.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?
- 6.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 7.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.
- 8.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.
- 9.Find the missing number: ▢ ÷ 15 = 24
- 10.Work out (5 + 2) × 3²
- 11.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
- 12.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 13.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 14.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 15.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
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