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.Write 12 as a product of its prime factors.
- 2.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.
- 3.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.
- 4.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 5.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.
- 6.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 7.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 8.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.
- 9.Estimate the value of √45, giving your answer to the nearest whole number.
- 10.Simplify ⁴√(16a⁸b¹²)
- 11.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20
- 12.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 13.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 14.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 15.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
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