Number worksheet — GCSE Foundation

1.Work out 0.6 × 0.04.

2.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

3.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

4.Work out (−2)² − 3

5.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

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.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

8.Work out the value of √(16 + 9)

9.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

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

11.Write 45,000 in standard form.

12.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

13.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

14.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

15.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.