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 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.
- 2.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
- 3.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 4.Work out √3 × √12, giving your answer as an integer.
- 5.4ˣ = 64. Work out the value of x.
- 6.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 7.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 8.Work out the exact value of √(2² + 3²)
- 9.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.
- 10.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
- 11.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 12.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.
- 13.Work out √225 ÷ 3.
- 14.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
- 15.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?
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