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.Write down the symbol that makes this statement true: −2/3 ___ −5/6
- 2.2/3 of an amount of money is £30. Work out the amount.
- 3.4ˣ = 64. Work out the value of x.
- 4.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.
- 5.Find the missing number: ▢ ÷ 15 = 24
- 6.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
- 7.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.
- 8.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.
- 9.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 10.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 11.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?
- 12.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
- 13.Simplify (y³)⁴, giving your answer as a single power of y.
- 14.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 15.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.
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