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 shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
- 2.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.
- 3.4ˣ = 64. Work out the value of x.
- 4.Round 0.006852 to 2 significant figures.
- 5.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 6.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
- 7.Work out (−2)³ + (−3)² − (−4)
- 8.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 9.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.
- 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.Write 200 as a product of its prime factors, using index notation.
- 12.Work out the value of √49 + ∛27
- 13.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.
- 14.Work out ∛64.
- 15.Work out 6² − 4².
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