Number worksheet — GCSE Foundation

1.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

2.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

3.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.

4.Write down a prime number between 30 and 40.

5.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

6.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

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

8.Work out 20 − 8 ÷ 2 + 1

9.Work out 2 × (−3 + 7)

10.Work out √144 − 2 × 3 + √25

11.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

12.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.

13.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

14.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

15.Work out 3.7 × 24.