Number worksheet — GCSE Foundation

1.Write down the decimal that is equal to 3/5.

2.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

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

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

5.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

6.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.

7.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.

8.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

9.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

10.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

11.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

12.Write down the symbol that makes this statement true: −9 ___ −4

13.Write 60 as a product of its prime factors, using index notation.

14.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

15.Write 90 as a product of its prime factors.