Number worksheet — GCSE Foundation

1.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.

2.Given that 2⁵ = 32, work out 2⁶.

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

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

5.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.

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

7.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

8.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.

9.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

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

11.Work out 35% of 180.

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

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

14.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

15.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%