GCSE Mathematics (9-1)

6.2 Percentage change — Practise

Work independently. Questions and answers below come from checked practice records.

  1. Increase £80 by 15%.
  2. Decrease 240 by 12%.
  3. A price rises from £40 to £46. Work out the percentage increase.
  4. A quantity falls from 250 to 200. Work out the percentage decrease.
  5. Write the multiplier for a 7% increase.
  6. Write the multiplier for a 35% decrease.
  7. A £560 bicycle is reduced by 8%. Work out its new price.
  8. A town population of 18 000 increases by 2.5%. Work out the new population.
  9. A value changes from 64 to 80. Work out the percentage change and state whether it is an increase or decrease.
  10. A £120 item increases by 10%, then decreases by 10%. Work out its final price.
Answers and concise solutions

1. 15% increase on £80

Answer: £92

2. 12% decrease from 240

Answer: 211.2

3. Percentage increase

Answer: 15%

4. Percentage decrease

Answer: 20%

5. Multiplier

Answer: 1.07

6. Multiplier

Answer: 0.65

7. New price

Answer: £515.20

8. New population

Answer: 18 450

9. Percentage change

Answer: 25% increase

10. Final price

Answer: £118.80

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