Number worksheet — GCSE Foundation

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

2.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

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

4.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.

5.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

6.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

7.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

8.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.

9.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.

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

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

12.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.

13.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

14.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.

15.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.