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.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.
- 2.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
- 3.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 4.Write 200 as a product of its prime factors, using index notation.
- 5.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 6.Given that 2⁵ = 32, work out 2⁶.
- 7.Write 0.005 in standard form.
- 8.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?
- 9.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 10.Work out how many factors 36 has.
- 11.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
- 12.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.
- 13.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 14.Simplify (3a²)² × (2a)³
- 15.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
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