Number worksheet — GCSE Foundation

1.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

2.Write '3.2 million' as a number in figures.

3.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

4.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

5.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

6.After a price increase of 10%, a laptop costs £330. Work out the original price.

7.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

8.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

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

10.Write 0.0038 in standard form.

11.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

12.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

13.Write down the reciprocal of 0.2

14.Work out 2/5 of 45.

15.Write down the symbol that makes this statement true: −9 ___ −4