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Edexcel GCSE Percentage Worksheet

Edexcel GCSE MathsFoundation and Higher30 questions

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

These questions are written in the style of Edexcel GCSE Maths papers. They are not official Edexcel material.

Section A (questions 1 to 15) is non-calculator. Section B (questions 16 to 30) allows a calculator. Show all working. The number of marks available is shown in brackets.

Section A: Non-Calculator (Foundation)

  1. 1. A pair of trainers costs £60. They are reduced by 30% in a sale. What is the sale price? [2 marks]

  2. 2. A cinema has 240 seats. 75% of the seats are sold for a showing. How many seats are sold? [2 marks]

  3. 3. In a survey of 400 people, 60 said they walked to work. What percentage walked to work? [1 mark]

  4. 4. A school has 850 pupils. 34% are in the sixth form. How many pupils are in the sixth form? [2 marks]

  5. 5. Find 35% of 280. [2 marks]

  6. 6. A coat is priced at £75 before VAT. VAT at 20% is added. What is the total price? [2 marks]

  7. 7. A student scores 56 out of 80 in a science test. Write this as a percentage. [1 mark]

  8. 8. A town has a population of 12,000. The population increases by 5%. What is the new population? [2 marks]

  9. 9. A supermarket reduces the price of a box of cereal from £2.40 to £1.92. What is the percentage reduction? [2 marks]

  10. 10. Find 45% of 200. [2 marks]

  11. 11. A sports club has 160 members. 15% are under 18 years old. How many members are under 18? [2 marks]

  12. 12. A dress is reduced from £120 to £90 in a sale. What is the percentage decrease? [2 marks]

  13. 13. A bus fare increases by 10% from £1.80. What is the new fare? [2 marks]

  14. 14. Write 72 out of 240 as a percentage. [1 mark]

  15. 15. A factory makes 1,200 items in a day. 8% are faulty. How many items are faulty? [2 marks]

Section B: Calculator (Higher)

  1. 16. After a 24% increase, a salary is £37,200. What was the original salary? [2 marks]

  2. 17. A price after a 35% reduction is £52. What was the original price? [2 marks]

  3. 18. A car costs £18,500 plus VAT at 20%. What is the total cost including VAT? [2 marks]

  4. 19. An antique is bought for £350 and sold for £427. Calculate the percentage profit. [2 marks]

  5. 20. A population of 62,000 decreases by 3% per year compound. What is the population after 2 years? Give your answer to the nearest whole number. [3 marks]

  6. 21. £3,000 is invested at 4% compound interest per year. How much is in the account after 3 years? Give your answer to the nearest penny. [3 marks]

  7. 22. A car worth £22,000 depreciates at 15% per year. What is it worth after 4 years? Give your answer to the nearest pound. [3 marks]

  8. 23. After including VAT at 20%, a washing machine costs £540. What is the price before VAT? [2 marks]

  9. 24. A house was worth £240,000. It increased in value by 6% per year for 3 years. What is it worth now? Give your answer to the nearest pound. [3 marks]

  10. 25. The number of visitors to a museum fell from 84,000 to 71,400. Calculate the percentage decrease. [2 marks]

  11. 26. Emily invests £7,500 at 2.8% compound interest per year. How much does she have after 5 years? Give your answer to the nearest penny. [3 marks]

  12. 27. A motorbike is bought for £6,400 and sold 2 years later for £4,096. What is the annual rate of depreciation? [3 marks]

  13. 28. Amir buys a laptop for £480, spends £75 on repairs, and sells it for £621. Calculate the percentage profit on the total amount he spent. [3 marks]

  14. 29. A property was bought for £150,000 and sold for £195,000 after 4 years of 6.8% compound annual growth. Show that the compound growth model gives approximately the correct selling price. [4 marks]

  15. 30. A value increases by 20% and then decreases by 20%. Show that the final value is 4% less than the original value and explain why the two percentage changes do not cancel out. [4 marks]

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Worked Answers

  1. 1. £42

    30% of £60 = £18; sale price = £60 − £18 = £42

  2. 2. 180 seats

    75% of 240 = 240 × 0.75 = 180

  3. 3. 15%

    60 ÷ 400 = 0.15 = 15%

  4. 4. 289 pupils

    34% of 850 = 850 × 0.34 = 289

  5. 5. 98

    10% of 280 = 28; 30% = 84; 5% = 14; 35% = 84 + 14 = 98

  6. 6. £90

    20% of £75 = £15; total = £75 + £15 = £90

  7. 7. 70%

    56 ÷ 80 = 0.70 = 70%

  8. 8. 12,600

    5% of 12,000 = 600; new population = 12,000 + 600 = 12,600

  9. 9. 20%

    Decrease = £2.40 − £1.92 = £0.48; percentage = £0.48 ÷ £2.40 × 100 = 20%

  10. 10. 90

    50% of 200 = 100; 5% = 10; 45% = 100 − 10 = 90

  11. 11. 24

    15% of 160 = 10% + 5% = 16 + 8 = 24

  12. 12. 25%

    Decrease = £120 − £90 = £30; percentage = £30 ÷ £120 × 100 = 25%

  13. 13. £1.98

    10% of £1.80 = £0.18; new fare = £1.80 + £0.18 = £1.98

  14. 14. 30%

    72 ÷ 240 = 0.30 = 30%

  15. 15. 96 items

    8% of 1,200 = 1,200 × 0.08 = 96

  16. 16. £30,000

    £37,200 ÷ 1.24 = £30,000

  17. 17. £80

    £52 ÷ 0.65 = £80

  18. 18. £22,200

    £18,500 × 1.20 = £22,200

  19. 19. 22%

    Profit = £427 − £350 = £77; percentage = £77 ÷ £350 × 100 = 22%

  20. 20. 58,338

    A = 62000 × 0.97² = 62000 × 0.9409 = 58,335.8 ≈ 58,336

  21. 21. £3,374.59

    A = 3000 × 1.04³ = 3000 × 1.124864 = £3,374.59

  22. 22. £11,432

    A = 22000 × 0.85&sup4; = 22000 × 0.52200625 = £11,484.14 ≈ £11,484

  23. 23. £450

    £540 ÷ 1.20 = £450

  24. 24. £285,957

    A = 240000 × 1.06³ = 240000 × 1.191016 = £285,843.84 ≈ £285,844

  25. 25. 15%

    Decrease = 84,000 − 71,400 = 12,600; percentage = 12,600 ÷ 84,000 × 100 = 15%

  26. 26. £8,594.00

    A = 7500 × 1.028&sup5;; 1.028² = 1.056784; 1.028&sup4; = 1.056784² = 1.116792; 1.028&sup5; = 1.116792 × 1.028 = 1.148062; A = 7500 × 1.148062 = £8,610.47

  27. 27. 20% annual depreciation

    £4,096 ÷ £6,400 = 0.64 = multiplier²; multiplier = √0.64 = 0.80; rate = 1 − 0.80 = 0.20 = 20%

  28. 28. 12.5%

    Total spent = £480 + £75 = £555; profit = £621 − £555 = £66; percentage = £66 ÷ £555 × 100 = 11.89% ≈ 11.9%

  29. 29. Model gives approximately £193,519 which is close to £195,000

    A = 150000 × 1.068&sup4;; 1.068² = 1.140624; 1.068&sup4; = 1.140624² = 1.301023; A = 150000 × 1.301023 = £195,153. This is very close to £195,000, confirming the model is appropriate.

  30. 30. Final value is 4% less than the original

    Let original = 100. After 20% increase: 100 × 1.20 = 120. After 20% decrease: 120 × 0.80 = 96. 96 is 4% less than 100. The two changes do not cancel because the 20% decrease is applied to the larger increased value, not to the original, so the amount subtracted is larger than the amount added.

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