Number worksheet — GCSE Foundation

1.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

2.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

3.Round 6.283 to 1 significant figure.

4.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

5.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

6.Work out 10% of 30% of £200.

7.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

8.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

9.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

10.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.

11.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

12.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

13.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

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

15.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.