Number worksheet — GCSE Foundation

1.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

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

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

4.3.4 × 10⁵ is written as an ordinary number. Work out this number.

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

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

7.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.

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

9.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

10.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

11.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

12.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

13.Write 45,000 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.Round 0.006482 to 2 significant figures.