Number worksheet — GCSE Foundation

1.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

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

3.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.

4.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.

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

6.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.

7.3.4 × 10⁵ is written as an ordinary number. Work out this number.

8.Given that 2⁵ = 32, work out 2⁶.

9.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

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 bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

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

13.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

14.Work out 10% of 30% of £200.

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