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 sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 2.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
- 3.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 4.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.
- 5.Work out the exact value of √(2² + 3²)
- 6.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.
- 7.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.
- 8.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 9.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 10.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 11.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
- 12.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
- 13.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 14.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 15.Work out the value of √49 + ∛27
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