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.Which one of these statements is true?
- 2.Work out 6² − 4².
- 3.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 4.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?
- 5.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 6.Write 12 as a product of its prime factors.
- 7.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
- 8.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
- 9.Find the missing number: 17 × ▢ = 391
- 10.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.
- 11.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 12.Work out −(−3)⁴ + (−3)³
- 13.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.
- 14.Work out √225 ÷ 3.
- 15.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.
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