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
MathsUKwww.geekhero.co.uk
- 1.Which one of these statements is true?
- 2.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 3.Work out √3 × √12, giving your answer as an integer.
- 4.Which of these is written correctly in standard form?
- 5.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 6.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 7.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 8.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.
- 9.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.
- 10.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 11.Write ∛(x²) as a single power of x.
- 12.Work out −4.5 + 2.8.
- 13.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.
- 14.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 15.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
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