Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA4-3NA5-5
New NZC (2026)
NZC26-P4-NUM-FIN-P-Y9-02NZC26-P3-NUM-NSO-P-Y7-30NZC26-P3-NUM-NSO-P-Y8-21NZC26-P3-NUM-NSO-P-Y8-23
Resources
- Alpha textbook: Percentage of quantities, Ex 9.05, pg 147
- Dr Austin Maths - Working with Percentages Practice GridQuestions PDF · Answers
- CorbettMaths on percentage of a given quantityQuestions PDF · Answers
- CorbettMaths on simple interestQuestions PDF · Answers
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).
Where this fits
What leads into this objective, and where it goes next.
You are here
Percentage of a given quantity
Do
Calculating simple interest and GST on dollar amounts (e.g. finding 15% GST on $432)
Statement▸
Year 9 · Number · Financial mathematics
NZC26-P4-NUM-FIN-P-Y9-02
Also under NA4-3:
- Finding fractions of quantity
- Budgets
- Converting between improper fractions and mixed numbers
- Forming percentages
Also under NA5-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.