Number worksheet — GCSE Foundation

1.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

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

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

4.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

5.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

6.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

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

8.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

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

10.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

11.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

12.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

13.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

14.Work out 8% of £250.

15.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.