Number worksheet — GCSE Foundation

1.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

2.Work out (−2)² − 3

3.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?

4.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

5.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

6.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

7.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

8.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

9.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

10.Write down the symbol that makes this statement true: 3/10 ___ 0.3

11.Round 24,681 to the nearest 1,000.

12.Work out (3 × 5)²

13.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

14.Which of these units would be most appropriate to use when stating the mass of a small car?

15.Work out 36 ÷ (2 × 3)