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.
Non-calculator
Number worksheet — GCSE Higher
MathsUKwww.geekhero.co.uk
- 1.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?
- 2.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.
- 3.Write 60 as a product of its prime factors, using index notation.
- 4.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 5.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 6.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.
- 7.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.
- 8.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 9.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 10.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 11.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 12.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 13.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 14.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 15.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.
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