Number worksheet — GCSE Foundation

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

2.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

3.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

4.Work out (−2)³ + (−3)² − (−4)

5.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

6.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

7.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

8.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

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

10.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

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

12.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

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

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

15.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.