Number worksheet — GCSE Foundation

1.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

2.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

3.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

4.Write 200 as a product of its prime factors, using index notation.

5.Write 45,000 in standard form.

6.Work out √144

7.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

8.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.

9.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

10.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

11.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

13.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

14.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?

15.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.