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Percentage Increase Worksheet

KS3-GCSE | Years 7-11Focused Practice20 questions

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Step-by-Step Method

Increase £250 by 20%

Find 20% of £250:
10% of £250 = £25
20% = £25 × 2 = £50
New amount = £250 + £50 = £300

Answer: £300

Multiplier Method

Increase £250 by 20%

An increase of 20% means the new amount is 120% of the original.
Multiplier = 1 + 20 ÷ 100 = 1.20
£250 × 1.20 = £300

Answer: £300

Use the step-by-step method for Section A. Use the multiplier method for Section B. Show all working.

Section A: Step-by-Step Method (Q1-10)

  1. 1. Increase £150 by 20%.

  2. 2. Increase 600 by 10%.

  3. 3. Increase £82 by 50%.

  4. 4. Increase 340 by 15%.

  5. 5. Increase £240 by 25%.

  6. 6. A salary of £26,000 rises by 4%. Find the new salary.

  7. 7. Increase 720 by 35%.

  8. 8. A price of £64 rises by 12.5%. Find the new price.

  9. 9. Increase 1,500 by 8%.

  10. 10. A house worth £280,000 rises in value by 6%. Find the new value.

Section B: Multiplier Method (Q11-20)

  1. 11. Increase £350 by 18%.

  2. 12. Increase 840 by 22.5%.

  3. 13. Increase £5,200 by 7.5%.

  4. 14. A train ticket costing £48 rises by 5.5%. Find the new price.

  5. 15. Increase £1,200 by 33%.

  6. 16. A flat worth £165,000 rises in value by 12%. Find the new value.

  7. 17. Increase 4,500 by 6.5%.

  8. 18. A salary of £32,000 rises by 3.5%. Find the new salary.

  9. 19. Increase £9,800 by 15.5%.

  10. 20. A fund of £250,000 grows by 4.8%. Find the new value of the fund.

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Worked Answers

  1. 1. 20% of £150 = £30; £150 + £30 = £180
  2. 2. 10% of 600 = 60; 600 + 60 = 660
  3. 3. 50% of £82 = £41; £82 + £41 = £123
  4. 4. 10% of 340 = 34; 5% = 17; 15% = 51; 340 + 51 = 391
  5. 5. 25% of £240 = £60; £240 + £60 = £300
  6. 6. 4% of £26,000 = £1,040; £26,000 + £1,040 = £27,040
  7. 7. 35% of 720 = 252; 720 + 252 = 972
  8. 8. 12.5% of £64 = £8; £64 + £8 = £72
  9. 9. 8% of 1,500 = 120; 1,500 + 120 = 1,620
  10. 10. 6% of £280,000 = £16,800; £280,000 + £16,800 = £296,800
  11. 11. 350 × 1.18 = £413
  12. 12. 840 × 1.225 = 1,029
  13. 13. 5,200 × 1.075 = £5,590
  14. 14. 48 × 1.055 = £50.64
  15. 15. 1,200 × 1.33 = £1,596
  16. 16. 165,000 × 1.12 = £184,800
  17. 17. 4,500 × 1.065 = 4,792.50
  18. 18. 32,000 × 1.035 = £33,120
  19. 19. 9,800 × 1.155 = £11,319
  20. 20. 250,000 × 1.048 = £262,000

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