Number worksheet — GCSE Foundation

1.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

2.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.

3.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

4.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

5.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

6.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

7.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

8.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

9.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

10.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

11.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

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

13.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

14.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

15.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.