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.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 2.Find the missing number: 17 × ▢ = 391
- 3.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 4.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?
- 5.Write 0.35 as a fraction in its lowest terms.
- 6.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
- 7.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 8.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 9.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.
- 10.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.
- 11.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 12.Estimate the value of √45, giving your answer to the nearest whole number.
- 13.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
- 14.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.
- 15.Simplify (3a²)² × (2a)³
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