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.
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Number worksheet — GCSE Higher
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- 1.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
- 2.2/3 of an amount of money is £30. Work out the amount.
- 3.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 4.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.
- 5.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 6.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 7.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 8.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.
- 9.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 10.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 11.Write 60 as a product of its prime factors, using index notation.
- 12.Work out the value of (√5)⁴
- 13.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
- 14.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 15.Simplify √8 + √18, giving your answer in the form k√2.
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