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.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 2.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 3.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 4.Work out 100 − 4 × 5²
- 5.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 6.Work out −(−3)⁴ + (−3)³
- 7.Write 5/6 as a decimal, showing clearly which digit recurs.
- 8.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
- 9.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 10.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
- 11.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.
- 12.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 13.Work out 3³ + 2⁴.
- 14.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.
- 15.Estimate the value of √45, giving your answer to the nearest whole number.
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