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.Simplify (x⁻²)³, giving your answer as a fraction.
- 2.Work out the reciprocal of (2 + 3)
- 3.Work out 5⁰ + 5¹ + 5²
- 4.Round 0.006852 to 2 significant figures.
- 5.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 6.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 7.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
- 8.The two shorter sides of a right-angled triangle are √12 cm and √24 cm. Work out the exact length of the hypotenuse.
- 9.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.
- 10.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
- 11.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.
- 12.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 13.Work out 6² − 4².
- 14.Work out the value of 2⁻²
- 15.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.
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