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.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
- 2.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 3.Write 5/6 as a decimal, showing clearly which digit recurs.
- 4.Write ∛(x²) as a single power of x.
- 5.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.
- 6.Work out 100 − 4 × 5²
- 7.Work out 6² − 4².
- 8.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 9.Work out the value of .
- 10.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.
- 11.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 12.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
- 13.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 14.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.
- 15.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
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