Number worksheet — GCSE Foundation

1.In the number 3.472, work out the value of the digit 7.

2.Work out 3³ + 2⁴.

3.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

4.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

5.Work out the lowest common multiple of 4 and 6.

6.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

7.Work out the highest common factor of 20 and 32.

8.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

9.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

10.Which of these numbers lies between −4 and −1 on a number line?

11.Write 0.325 as a fraction in its simplest form.

12.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

13.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

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

15.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.