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 metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 2.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.
- 3.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 4.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 5.4ˣ = 64. Work out the value of x.
- 6.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.
- 7.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.
- 8.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 9.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?
- 10.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.
- 11.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 12.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.
- 13.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 14.Given that 2⁵ = 32, work out 2⁶.
- 15.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
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