Number worksheet — GCSE Foundation

1.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

2.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

3.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

4.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.

5.Work out 100 − 4 × 5²

6.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

7.Work out −6 × (−3).

8.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

9.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

10.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

11.Work out the value of 2⁻⁴

12.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.

13.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

14.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.

15.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.