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 (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 2.Write 0.325 as a fraction in its simplest form.
- 3.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
- 4.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.
- 5.Work out the value of .
- 6.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
- 7.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 8.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 9.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.
- 10.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 11.Work out 36 ÷ (2 × 3)
- 12.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.
- 13.Work out (−6) + (−4) × 3
- 14.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 15.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
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