Number worksheet — GCSE Foundation

1.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

2.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.

3.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

4.Write 260,000 in standard form.

5.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

6.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

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

8.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

9.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

10.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.

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

12.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

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

14.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

15.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.