Number worksheet — GCSE Foundation

1.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

2.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

3.Write down the symbol that makes this statement true: −2/3 ___ −5/6

4.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

5.Round 24,681 to the nearest 1,000.

6.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

7.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

8.Round 0.006482 to 2 significant figures.

9.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

10.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

11.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

12.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.

13.Write 90 as a product of its prime factors.

14.Work out 18 − 4 × 2

15.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.