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.Work out the highest common factor of 15 and 25.

3.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

4.Work out the value of √64.

5.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

6.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

7.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

8.Work out 18 − 4 × 2

9.Write down the symbol that makes this statement true: 6/11 ___ 4/11

10.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.

11.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.

12.Work out the value of 2⁻²

13.Work out 2 × (−3 + 7)

14.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

15.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.