Number worksheet — GCSE Foundation

1.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

2.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.

3.Work out 10% of 30% of £200.

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

5.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

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

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

8.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

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

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

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 speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

13.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?

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

15.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.