Number worksheet — GCSE Foundation

1.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

2.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

3.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

4.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

5.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

6.Work out the lowest common multiple of 9 and 15.

7.Work out −(−3)⁴ + (−3)³

8.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

9.Write down the value of 3⁰

10.Work out √225 ÷ 3.

11.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

12.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

13.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

14.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.

15.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.