Number worksheet — GCSE Foundation

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

2.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

3.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.

4.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

5.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

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

7.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

8.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.

9.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

10.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

11.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

12.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.

13.Write 45,000 in standard form.

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

15.Write 0.0038 in standard form.