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 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.
- 2.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 3.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.
- 4.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
- 5.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.
- 6.Write 0.325 as a fraction in its simplest form.
- 7.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 8.Work out ∛(−27) + ∛8
- 9.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 10.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 11.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
- 12.Write 0.875 as a fraction in its simplest form.
- 13.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?
- 14.Simplify x⁶ ÷ x²
- 15.Work out √225 ÷ 3.
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