Number worksheet — GCSE Foundation

1.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

2.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

3.Work out 3π − π, giving your answer as a multiple of π.

4.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

5.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

6.Round 4,685 to the nearest 100.

7.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

8.Work out 2/5 + 1/4, giving your answer in its simplest form.

9.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

10.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

11.Work out (−36) ÷ (−6) × 2

12.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

13.Work out √(4 × 9)

14.Write 0.0038 in standard form.

15.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.