Number worksheet — GCSE Foundation

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

2.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.

3.Work out the highest common factor of 12 and 18.

4.Work out 6² − 4².

5.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

6.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

7.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

8.Write 0.45 as a fraction in its simplest form.

9.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

10.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

11.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

12.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

13.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

14.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

15.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.