Number worksheet — GCSE Foundation

1.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.

2.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

3.Work out 3.7 × 24.

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

5.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

6.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

7.Write 0.00072 in standard form.

8.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

9.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

10.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

11.Work out 3/8 of 96.

12.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

13.Work out (5 + 2) × 3²

14.Work out the value of √(16 + 9)

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