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.Work out the exact value of √(2² + 3²)
- 2.Which one of these statements is true?
- 3.Write down the reciprocal of 0.2
- 4.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.
- 5.Work out √225 ÷ 3.
- 6.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 7.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.
- 8.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
- 9.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
- 10.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.
- 11.Work out 36 ÷ (2 × 3)
- 12.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.
- 13.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.
- 14.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 15.Work out 5/6 × 2/9, giving your answer in its simplest form.
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