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.Work out (−2)² − 3
- 2.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.
- 3.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 4.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.
- 5.Which one of these statements is true?
- 6.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?
- 7.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.
- 8.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
- 9.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.
- 10.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 11.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 12.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
- 13.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 14.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.
- 15.Work out (−2)³ + (−3)² − (−4)
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