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
MathsUKwww.geekhero.co.uk
- 1.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 2.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 3.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.
- 4.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.
- 5.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 6.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
- 7.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 8.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?
- 9.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 10.Work out 36 ÷ (2 × 3)
- 11.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 12.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.
- 13.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.
- 14.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.
- 15.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
Build your own mix at the worksheet builder.