Number worksheet — GCSE Foundation

1.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

2.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

3.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

4.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

5.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.

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

7.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

8.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

9.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

10.Round 0.006482 to 2 significant figures.

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

12.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

13.2/3 of an amount of money is £30. Work out the amount.

14.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

15.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.