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.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 2.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 3.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.
- 4.Which of these is written correctly in standard form?
- 5.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?
- 6.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
- 7.Round 0.006852 to 2 significant figures.
- 8.Work out the value of .
- 9.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
- 10.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.
- 11.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
- 12.Write 0.35 as a fraction in its lowest terms.
- 13.Simplify √8 + √18, giving your answer in the form k√2.
- 14.Which statement about the number 91 is correct?
- 15.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
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