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.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.
- 2.Work out 36 ÷ (2 × 3)
- 3.Simplify (y³)⁴, giving your answer as a single power of y.
- 4.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 5.Work out (−36) ÷ (−6) × 2
- 6.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.
- 7.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 8.Work out the reciprocal of (2 + 3)
- 9.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.
- 10.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 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.Simplify (x⁻²)³, giving your answer as a fraction.
- 13.A rectangular garden has a length of 12.4 m and a width of 7.5 m, each measured correct to 1 decimal place. Calculate the upper bound for the area of the garden.
- 14.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 15.Given that 2⁵ = 32, work out 2⁶.
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