Number worksheet — GCSE Foundation

1.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

2.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

3.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

4.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

5.Work out (−3) × 4 + 10

6.Work out ∛64.

7.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

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

9.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

10.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

11.Estimate the value of √45, giving your answer to the nearest whole number.

12.Work out (−3) × 4 + 2 × (−5)

13.Work out how many factors 36 has.

14.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

15.Work out √49