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.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.
- 2.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.
- 3.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.
- 4.Work out √3 × √12, giving your answer as an integer.
- 5.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 6.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.
- 7.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.
- 8.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.
- 9.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 10.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.
- 11.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 12.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
- 13.Work out 6² − 4².
- 14.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 15.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
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