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GCSE Foundation Percentage Worksheet

GCSE FoundationFoundation25 questions

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GCSE Foundation tier percentage questions. Topics include: percentage of an amount, percentage change, expressing as a percentage, simple interest, and real-world percentage problems. A calculator may be used unless stated otherwise.

Section A: Percentage of an amount

  1. 1. Find 35% of £420. (1 mark)

  2. 2. Find 72% of 650 kg. (1 mark)

  3. 3. Find 8.5% of £2,400. (1 mark)

  4. 4. A deposit of 15% is required on a house costing £180,000. How much is the deposit? (1 mark)

  5. 5. A television costs £560. It is reduced by 20% in a sale. Find the amount saved. (1 mark)

  6. 6. In a school of 850 pupils, 46% are girls. How many girls are in the school? (1 mark)

  7. 7. Find 12.5% of 960 metres. (1 mark)

  8. 8. A car costs £14,500. It depreciates by 22% in the first year. Find the value of the car after one year. (2 marks)

Section B: Percentage increase and decrease

  1. 9. Increase £380 by 15%. (2 marks)

  2. 10. Decrease 540 by 35%. (2 marks)

  3. 11. A worker earns £26,400 per year. She receives a 4.5% pay rise. Find her new annual salary. (2 marks)

  4. 12. A jacket costs £95. In a sale it is reduced by 30%. What is the sale price? (2 marks)

  5. 13. The number of students at a college increased from 1,200 to 1,500. Calculate the percentage increase. (2 marks)

  6. 14. A bike costs £640. After one year its value falls to £496. Calculate the percentage decrease. (2 marks)

Section C: Expressing as a percentage

  1. 15. Express 28 out of 80 as a percentage. (1 mark)

  2. 16. A student gets 63 marks out of 140 in a test. Express this as a percentage to 1 decimal place. (1 mark)

  3. 17. In a survey of 250 people, 185 said they used the internet every day. What percentage is this? (1 mark)

  4. 18. A recipe uses 150 g of butter out of a total ingredient weight of 600 g. What percentage of the recipe is butter? (1 mark)

  5. 19. A football team scored 42 goals at home and 18 goals away. What percentage of their goals were scored at home? (2 marks)

Section D: Real-world problems

  1. 20. A laptop costs £720 plus VAT at 20%. What is the total price including VAT? (2 marks)

  2. 21. A shop offers a 15% discount on all items over £100. A coat costs £140. How much does the customer save? (2 marks)

  3. 22. A plumber charges £320 for a job plus VAT at 20%. How much is the customer charged in total? (2 marks)

  4. 23. £4,000 is invested at 3% simple interest per year for 5 years. How much interest is earned in total? (2 marks)

  5. 24. A phone is on sale for £323 after a 15% discount. What was the original price? (2 marks)

  6. 25. A restaurant bill is £92 before a 12.5% service charge is added. What is the total bill? (2 marks)

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Worked Answers

Section A: Percentage of an amount

  1. 1. £147

    £420 × 0.35 = £147

  2. 2. 468 kg

    650 × 0.72 = 468 kg

  3. 3. £204

    £2,400 × 0.085 = £204

  4. 4. Deposit = £27,000

    £180,000 × 0.15 = £27,000

  5. 5. Amount saved = £112

    £560 × 0.20 = £112

  6. 6. 391 girls

    850 × 0.46 = 391

  7. 7. 120 metres

    960 × 0.125 = 120 m

  8. 8. Value after one year = £11,310

    £14,500 × 0.78 = £11,310

Section B: Percentage increase and decrease

  1. 9. £437

    £380 × 1.15 = £437

  2. 10. 351

    540 × 0.65 = 351

  3. 11. New salary = £27,588

    £26,400 × 1.045 = £27,588

  4. 12. Sale price = £66.50

    £95 × 0.70 = £66.50

  5. 13. Percentage increase = 25%

    Change = 300; (300 ÷ 1200) × 100 = 25%

  6. 14. Percentage decrease = 22.5%

    Change = £144; (144 ÷ 640) × 100 = 22.5%

Section C: Expressing as a percentage

  1. 15. 35%

    (28 ÷ 80) × 100 = 35%

  2. 16. 45.0%

    (63 ÷ 140) × 100 = 45.0%

  3. 17. 74%

    (185 ÷ 250) × 100 = 74%

  4. 18. 25%

    (150 ÷ 600) × 100 = 25%

  5. 19. 70%

    Total goals = 42 + 18 = 60; (42 ÷ 60) × 100 = 70%

Section D: Real-world problems

  1. 20. Total price = £864

    VAT = £720 × 0.20 = £144; Total = £720 + £144 = £864 (or £720 × 1.20 = £864)

  2. 21. Customer saves £21

    15% of £140 = £140 × 0.15 = £21

  3. 22. Total charge = £384

    VAT = £320 × 0.20 = £64; Total = £320 + £64 = £384

  4. 23. Interest earned = £600

    Simple interest = £4,000 × 3/100 × 5 = £600

  5. 24. Original price = £380

    After a 15% discount, price is 85% of original. Original = £323 ÷ 0.85 = £380

  6. 25. Total bill = £103.50

    £92 × 1.125 = £103.50

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