Number worksheet — GCSE Foundation

1.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

2.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.

3.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

4.Round 592.5 to the nearest 10.

5.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

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

7.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

8.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

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

10.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

11.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

12.Work out (−3) × 4 + 2 × (−5)

13.Work out 3.7 × 24.

14.Work out 4π + 2π, giving your answer as a multiple of π.

15.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?