percentages.co.uk

GCSE Percentage Revision Sheet

GCSERevision15 questions

Free to print and use in your classroom. No sign-up required.

Formula Reminders

Percentage of an amount

Amount × (percentage ÷ 100)

Percentage change

(Change ÷ Original) × 100

Percentage increase / decrease (multipliers)

Increase by r%: multiply by (1 + r/100)

Decrease by r%: multiply by (1 − r/100)

Reverse percentage

Original = Final value ÷ multiplier

Compound interest

A = P(1 + r/100)n    where P = principal, r = rate %, n = number of years

Answer all 15 questions. Show your working clearly. A calculator may be used.

  1. Calculate 38% of 650.

  2. Increase 420 by 22%.

  3. Decrease 980 by 35%.

  4. A bicycle costs £240 and is sold for £180. Calculate the percentage decrease in price.

  5. Express 66 as a percentage of 88.

  6. After a 30% reduction, a dress costs £63. What was the original price?

  7. A price is shown as £216 including VAT at 20%. What is the price before VAT?

  8. A shop buys 50 items at £8 each and sells all of them for £580 in total. Calculate the percentage profit.

  9. A flat is worth £180,000. Its value increases by 4.5% per year for 2 years. What is its value after 2 years? Give your answer to the nearest pound.

  10. Jake invests £3,200 at 3% compound interest per year for 4 years. How much does he have at the end? Give your answer to the nearest penny.

  11. After a 15% pay rise, a worker earns £2,530 per month. What was the salary before the pay rise?

  12. A population grows from 45,000 to 52,200. Calculate the percentage increase.

  13. A car depreciates by 25% in its first year and by 15% in its second year. If the car cost £20,000 new, what is it worth after two years?

  14. A builder adds 20% VAT to a quote. The customer pays £6,600 in total. What was the original quote before VAT?

  15. Lucy invests £5,000 at 2% compound interest. After how many complete years will her investment first exceed £5,500? Show your working clearly.

Free to print and use in your classroom. No sign-up required. percentages.co.uk

Worked Answers

  1. Q1: 0.38 × 650 = 247
  2. Q2: 420 × 1.22 = 512.4
  3. Q3: 980 × 0.65 = 637
  4. Q4: Decrease = £240 − £180 = £60. Percentage decrease = (60 ÷ 240) × 100 = 25%
  5. Q5: (66 ÷ 88) × 100 = 75%
  6. Q6: £63 = 70% of original. Original = £63 ÷ 0.70 = £90
  7. Q7: £216 = 120%. Original = £216 ÷ 1.20 = £180
  8. Q8: Cost = 50 × £8 = £400. Profit = £580 − £400 = £180. Percentage profit = (180 ÷ 400) × 100 = 45%
  9. Q9: £180,000 × 1.045² = £180,000 × 1.092025 = £196,565
  10. Q10: £3,200 × 1.03&sup4; = £3,200 × 1.12550881 = £3,601.63
  11. Q11: £2,530 = 115%. Original = £2,530 ÷ 1.15 = £2,200
  12. Q12: Increase = 52,200 − 45,000 = 7,200. Percentage increase = (7,200 ÷ 45,000) × 100 = 16%
  13. Q13: After year 1: £20,000 × 0.75 = £15,000. After year 2: £15,000 × 0.85 = £12,750
  14. Q14: £6,600 = 120%. Original = £6,600 ÷ 1.20 = £5,500
  15. Q15: Year 1: £5,100. Year 2: £5,202. Year 3: £5,306.04. Year 4: £5,412.16. Year 5: £5,520.40. Lucy's investment first exceeds £5,500 after 5 complete years.

Related resources

Percentage Change Calculator

Find the percentage change between two values.

GCSE Percentages Revision

Full GCSE revision guide covering all percentage topics with exam-style examples.

Foundation Revision Sheet

Foundation tier revision sheet covering percentage basics.

Higher Revision Sheet

Higher tier revision sheet with reverse and compound percentages.