Number worksheet — GCSE Foundation

1.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.

2.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

3.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.

4.Round 3.947 to 2 decimal places.

5.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

6.Write down the symbol that makes this statement true: −2/3 ___ −5/6

7.Write these numbers in order, starting with the smallest: 3, −1, 0, −5

8.Write 0.45 as a fraction in its simplest form.

9.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

10.Work out ∛64.

11.Write 260,000 in standard form.

12.Work out 36 ÷ (2 × 3)

13.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

14.Work out √25 + 4² − 12 ÷ 3

15.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.