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.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 2.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.
- 3.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 4.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.
- 5.Find the missing number: ▢ ÷ 15 = 24
- 6.Simplify (3a²)² × (2a)³
- 7.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 8.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 9.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 10.Work out ⁴√16
- 11.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.
- 12.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 13.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.
- 14.Write ∛(x²) as a single power of x.
- 15.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
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