Number worksheet — GCSE Foundation

1.After a price increase of 10%, a laptop costs £330. Work out the original price.

2.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

3.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

4.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

5.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

6.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

7.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.

8.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.

9.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

10.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

11.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

12.Round 6.283 to 1 significant figure.

13.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.

14.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

15.Write 0.00072 in standard form.