Number worksheet — GCSE Foundation

1.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.

2.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

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

4.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

5.Work out the lowest common multiple of 9 and 15.

6.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

7.Round 24,681 to the nearest 1,000.

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

9.Work out −6 × (−3).

10.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

11.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

12.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

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.Round 6.283 to 1 significant figure.