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.Simplify x⁶ ÷ x²
- 2.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 3.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.
- 4.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.
- 5.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
- 6.Work out the exact value of √(2² + 3²)
- 7.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.
- 8.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?
- 9.Write 0.36 as a fraction in its simplest form.
- 10.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 11.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 12.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
- 13.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
- 14.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
- 15.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.
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