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.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
- 2.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.
- 3.Find the missing number: 17 × ▢ = 391
- 4.Work out 3 × (−2)² − 5
- 5.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 6.Work out 6² − 4².
- 7.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.
- 8.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 9.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 10.Work out the value of 2⁻⁴
- 11.Write 0.005 in standard form.
- 12.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.
- 13.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 14.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.
- 15.Write down the reciprocal of 0.2
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