Number worksheet — GCSE Foundation

1.Which of these numbers lies between −8 and −5 on a number line?

2.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?

3.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.

4.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.

5.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

6.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

7.Work out 15% of £40, using 10% and 5%.

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

9.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

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

11.Work out 100 − 4 × 5²

12.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

13.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.

14.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

15.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.