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.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
- 2.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 3.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
- 4.Simplify ⁴√(16a⁸b¹²)
- 5.Work out how many factors 36 has.
- 6.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 7.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
- 8.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.
- 9.Work out 10% of 30% of £200.
- 10.Work out −(−3)⁴ + (−3)³
- 11.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
- 12.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
- 13.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 14.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 15.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.
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