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.
Number worksheet — GCSE Higher
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- 1.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.
- 2.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 3.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 4.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 5.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 6.Work out √3 × √12, giving your answer as an integer.
- 7.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
- 8.Work out 6² − 4².
- 9.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
- 10.Given that 2⁵ = 32, work out 2⁶.
- 11.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 12.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
- 13.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 14.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
- 15.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
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