Number worksheet — GCSE Foundation

1.Write 260,000 in standard form.

2.Work out 35% of 180.

3.Work out the value of √64.

4.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.

5.Write 0.35 as a fraction in its lowest terms.

6.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

7.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

8.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

9.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

10.Work out the highest common factor of 12 and 18.

11.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.

12.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

13.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

14.Work out the lowest common multiple of 4 and 6.

15.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.