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.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 2.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 3.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 4.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
- 5.Which of these is written correctly in standard form?
- 6.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
- 7.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.
- 8.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.
- 9.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.
- 10.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.
- 11.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.
- 12.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 13.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.
- 14.After a price increase of 10%, a laptop costs £330. Work out the original price.
- 15.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
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