Number worksheet — GCSE Foundation

1.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.

2.Work out the value of 2⁻⁴

3.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

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

5.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

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

7.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.

8.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

9.Work out 3 × (−2)² − 5

10.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

11.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

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

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.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

15.Work out 5⁰ + 5¹ + 5²