Number worksheet — GCSE Foundation

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

2.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.

3.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.

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.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

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

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

8.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

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

10.Given that 2⁵ = 32, work out 2⁶.

11.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

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

13.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.

14.Work out 8% of £250.

15.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.