Number worksheet — GCSE Foundation

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

2.Work out √144 − 2 × 3 + √25

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

4.Work out 10% of 30% of £200.

5.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.

6.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

7.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

8.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

9.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

10.Round 6.283 to 1 significant figure.

11.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

12.Work out the lowest common multiple of 9 and 15.

13.Round 4,685 to the nearest 100.

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

15.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.