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.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.
- 2.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 3.Write 0.36 as a fraction in its simplest form.
- 4.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.
- 5.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.
- 6.Simplify x⁶ ÷ x²
- 7.Work out 5⁰ + 5¹ + 5²
- 8.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 9.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.
- 10.Work out √25 + 4² − 12 ÷ 3
- 11.Write 12 as a product of its prime factors.
- 12.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 13.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 14.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
- 15.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.
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