Number worksheet — GCSE Foundation

1.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

2.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.

3.Write 45,000 in standard form.

4.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

5.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

6.Work out 8% of £250.

7.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

8.Which of these is written correctly in standard form?

9.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

10.Work out 10% of 30% of £200.

11.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

12.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

13.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

14.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

15.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.