Number worksheet — GCSE Foundation

1.Write down a prime number between 30 and 40.

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

3.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

4.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

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

6.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

7.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

8.Write 0.875 as a fraction in its simplest form.

9.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

10.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

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

12.Which of these is equal to 5³?

13.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.

14.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

15.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.