Number worksheet — GCSE Foundation

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

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

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

4.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

5.Given that 2⁵ = 32, work out 2⁶.

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

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.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

9.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

10.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.

11.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.

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

13.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

14.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

15.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.