Number worksheet — GCSE Foundation

1.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

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

3.Which one of these statements is true?

4.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.

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

6.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.

7.Work out √144 − 2 × 3 + √25

8.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

9.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

10.Work out ⁴√81

11.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

12.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

13.Work out 2⁵.

14.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.

15.Work out 10% of 30% of £200.