Number worksheet — GCSE Foundation

1.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.

2.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

3.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

4.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

5.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.

6.Write 45,000 in standard form.

7.Which of these is written correctly in standard form?

8.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

9.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

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

11.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

12.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.

13.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

14.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.

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.