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
MathsUKwww.geekhero.co.uk
- 1.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 2.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.
- 3.Simplify (3a²)² × (2a)³
- 4.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
- 5.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 6.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
- 7.Round 592.5 to the nearest 10.
- 8.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.
- 9.Work out the value of 2⁻²
- 10.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 11.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
- 12.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 13.Which one of these statements is true?
- 14.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.
- 15.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
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