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
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- 1.Work out (−2)² − 3
- 2.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
- 3.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 4.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 5.Write 12 as a product of its prime factors.
- 6.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
- 7.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.
- 8.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 9.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 10.Simplify ⁴√(16a⁸b¹²)
- 11.Write 60 as a product of its prime factors, using index notation.
- 12.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.
- 13.Work out 3³ + 2⁴.
- 14.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 15.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
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