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.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.
- 2.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.
- 3.Work out the value of (√5)⁴
- 4.Estimate the value of √45, giving your answer to the nearest whole number.
- 5.Work out the value of √49 + ∛27
- 6.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.
- 7.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 8.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 9.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 10.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 11.Work out ∛64.
- 12.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.
- 13.Write 0.325 as a fraction in its simplest form.
- 14.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 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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