Number worksheet — GCSE Foundation

1.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

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

3.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

4.Work out 0.6 × 0.04.

5.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

6.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

7.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

8.Write 200 as a product of its prime factors, using index notation.

9.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

10.Write down the symbol that makes this statement true: −9 ___ −4

11.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.

12.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

13.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.

14.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

15.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?