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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.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.
- 2.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 3.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.
- 4.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.
- 5.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.
- 6.Write 0.875 as a fraction in its simplest form.
- 7.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.
- 8.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 9.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 10.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.
- 11.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 12.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
- 13.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 14.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.
- 15.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
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