Number worksheet — GCSE Foundation

1.Write 0.35 as a fraction in its lowest terms.

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

3.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.

4.Work out 2/5 of 45.

5.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

6.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

7.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

8.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

9.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

10.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.

11.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

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

13.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

14.Round 0.006852 to 2 significant figures.

15.4ˣ = 64. Work out the value of x.