Percentage of a given quantity

Find a percentage of a quantity (using the decimal-multiplier method), and apply this to financial contexts including GST and simple interest.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

Terminology

  • Percentage of a given quantity
  • Of
  • Interest
  • Principal
  • Simple Interest
  • Compound Interest
  • Goods and Services Tax / GST
  • Depreciation

Task goals

  • Find a percentage of a quantity using the decimal-multiplier method (percentage as a decimal times the quantity).
  • Read a proportion number line (given the total and a percentage) to find the missing part.
  • Apply the method to GST calculations (finding the GST amount, and the GST-inclusive or GST-exclusive price).
  • Apply the method to simple interest calculations (principal times rate times time).
  • Apply the method to a single-period depreciation or markup calculation.
  • Extend to compound interest (applying the percentage-of-a-quantity method repeatedly, one period at a time) and to reverse problems (given the result, find the original quantity or rate).

Key skills

  • Percentage of quantity
  • Simple interest
  • GST

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included