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 quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 2.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 3.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.
- 4.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.
- 5.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 6.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 7.Write ∛(x²) as a single power of x.
- 8.Work out how many factors 36 has.
- 9.Write 0.06 as a fraction in its simplest form.
- 10.Write 60 as a product of its prime factors, using index notation.
- 11.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 12.Work out the value of 2⁻⁴
- 13.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 14.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 15.2/3 of an amount of money is £30. Work out the amount.
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