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Ignition Learning — Activity Sheet

Percentages & money in real life

Mathematics · Year 7

Name: ______________________Date: ____________

Percentages are used everywhere in real life — discounts, tax, interest and tips. To find a percentage of an amount, convert the percentage to a decimal (divide by 100) and multiply. A discount reduces a price, so subtract the discount amount from the original price. GST (Goods and Services Tax) in Australia adds 10% to most purchase prices. Simple interest is calculated as a percentage of the original amount, added each year.

Example

A $80 jacket is 25% off. The discount is 25% of $80 = 0.25 × 80 = $20, so the sale price is $80 − $20 = $60.

Key terms

Discount:
An amount subtracted from the original price.
GST:
Goods and Services Tax, a 10% tax added to most purchases in Australia.
Simple interest:
Interest calculated as a fixed percentage of the original amount.

Questions

  1. 1. To find a percentage of an amount, you:

    • Add the percentage
    • Convert to a decimal and multiply
    • Divide by the percentage
    • Multiply by 100
  2. 2. 10% of $50 is:

    • $5
    • $10
    • $15
    • $50
  3. 3. 50% of $80 is:

    • $20
    • $40
    • $8
    • $60
  4. 4. A discount reduces the:

    • Tax
    • Price
    • Percentage
    • GST
  5. 5. In Australia, GST adds:

    • 5%
    • 10%
    • 15%
    • 20%
  6. 6. 25% of $100 is:

    • $15
    • $20
    • $25
    • $30
  7. 7. If something is "on sale", the price usually:

    • Increases
    • Decreases
    • Stays the same
    • Doubles
  8. 8. A $60 shirt is 20% off. The discount amount is:

    • $6
    • $12
    • $20
    • $48
  9. 9. A $60 shirt is 20% off. The sale price is:

    • $40
    • $48
    • $52
    • $54
  10. 10. A $200 item has 10% GST added. The total price is:

    • $210
    • $220
    • $180
    • $190
  11. 11. What is 15% of $40?

    • $4
    • $6
    • $8
    • $10
  12. 12. A $150 jacket is discounted by 30%. The sale price is:

    • $45
    • $105
    • $120
    • $180
  13. 13. What is 5% of $300?

    • $5
    • $15
    • $30
    • $50
  14. 14. A $25 item has 10% GST added. What is the GST amount?

    • $2
    • $2.50
    • $5
    • $10
  15. 15. A $120 item is discounted 15%, then 10% GST is added to the discounted price. What is the final price?

    • $112.20
    • $102.00
    • $120.00
    • $132.00
  16. 16. You invest $500 at 4% simple interest per year. How much interest do you earn after 1 year?

    • $20
    • $4
    • $40
    • $500
  17. 17. You invest $500 at 4% simple interest per year. How much interest do you earn after 3 years?

    • $60
    • $20
    • $120
    • $512
  18. 18. A $80 item increases in price by 25%. What is the new price?

    • $100
    • $105
    • $20
    • $25
  19. 19. An item's price drops from $50 to $40. What percentage discount is this?

    • 10%
    • 20%
    • 25%
    • 50%
  20. 20. A $250 laptop is on sale for $200. What percentage was the discount?

    • 20%
    • 25%
    • 50%
    • 10%

Answer key (parent copy)

  1. 1. Convert to a decimal and multiply
  2. 2. $5
  3. 3. $40
  4. 4. Price
  5. 5. 10%
  6. 6. $25
  7. 7. Decreases
  8. 8. $12
  9. 9. $48
  10. 10. $220
  11. 11. $6
  12. 12. $105
  13. 13. $15
  14. 14. $2.50
  15. 15. $112.20
  16. 16. $20
  17. 17. $60
  18. 18. $100
  19. 19. 20%
  20. 20. 20%