Number worksheet — GCSE Foundation

1.Given that 2⁵ = 32, work out 2⁶.

2.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

3.Work out 8% of £250.

4.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

5.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

6.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

7.Round 6.283 to 1 significant figure.

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 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.

10.Write 260,000 in standard form.

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

12.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.

13.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.

14.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

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