Number worksheet — GCSE Foundation

1.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

2.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

3.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

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

5.Round 6.283 to 1 significant figure.

6.Work out 2/5 + 1/4, giving your answer in its simplest form.

7.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

8.Work out the highest common factor of 20 and 32.

9.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

10.A fruit bowl contains apples, pears and plums in the ratio 3 : 4 : 5. What fraction of the fruit are not plums?

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

12.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

13.Work out −4.5 + 2.8.

14.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

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.