Number worksheet — GCSE Foundation

1.Work out the highest common factor of 12 and 18.

2.Write the fraction 3/4 as a decimal.

3.Write down the fraction, in its simplest form, that is equal to 0.6

4.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

5.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

6.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

7.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.

8.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.

9.Write '3.2 million' as a number in figures.

10.Simplify (y³)⁴, giving your answer as a single power of y.

11.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

12.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

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

14.Write down the reciprocal of 0.2

15.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.