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.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 2.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.
- 3.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.
- 4.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.
- 5.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 6.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
- 7.Work out 3 + 4 × (−2).
- 8.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 9.Write 5/6 as a decimal, showing clearly which digit recurs.
- 10.Work out √25 + 4² − 12 ÷ 3
- 11.Round 0.006852 to 2 significant figures.
- 12.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?
- 13.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.
- 14.Write 200 as a product of its prime factors, using index notation.
- 15.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
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