Number worksheet — GCSE Foundation

1.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

2.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

3.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

4.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.

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

6.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

7.Write 0.35 as a fraction in its lowest terms.

8.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

9.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

10.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

11.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.

12.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.

13.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.

14.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

15.Write 0.005 in standard form.