Number worksheet — GCSE Foundation

1.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

2.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.

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

4.Write 0.0038 in standard form.

5.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.

6.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?

7.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.

8.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

9.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

10.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

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

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

13.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

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

15.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.