Te reo Māori terms
click each term to open in Te AkaLearning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-4
New NZC (2026)
NZC26-P4-NUM-FIN-K-Y10-01NZC26-P4-NUM-FIN-P-Y10-01
Resources
- Dr Austin Maths - Solving Ratio Problems Practice GridQuestions PDF · Answers
- Dr Austin Maths - Proportion and the Unitary Method Practice GridQuestions PDF · Answers
- Dr Austin Maths - Mixed Ratio and Proportion Revision Practice GridQuestions PDF · Answers
Terminology
- exchange rate
- unitary method
- ratio
- share in a ratio
- commission
Task goals
- Convert an amount from NZD to a foreign currency using a given exchange rate (e.g. 1 NZD = 0.90 AUD) via the unitary method.
- Convert an amount from a foreign currency back to NZD using a given exchange rate.
- Write a ratio from a described quantity (e.g. the ratio of red to blue marbles) and simplify a ratio to its lowest terms.
- Use a given ratio to find an unknown quantity from a known one (e.g. how many oranges go with 4 apples in a 2:3 ratio).
- Share an amount in a given two-part or three-part ratio, giving all resulting amounts.
- Round a currency conversion to the nearest cent, and apply a percentage commission to a converted amount.
- Compare two different exchange rates or kiosks for the same conversion, and solve multi-step problems that chain a conversion with a fee, a rate change, or a second conversion.
- Apply a ratio to a real quantity in context, including three-part ratios and map-scale problems, to find an unknown share or distance.
Where this fits
What leads into this objective, and where it goes next.
Before

Increasing and decreasing by a given percentage

Relationship between percentages, fractions, and decimals

Percentage Change: Increase, Decrease and Reverse Percentages
You are here

Converting currency using an exchange rate, and working with ratios
Know
Percentages, ratios, rates, and proportions are often applied in financial situations.
Statement▸
Year 10 · Number · Financial mathematics
NZC26-P4-NUM-FIN-K-Y10-01
Do
Converting New Zealand dollars into other currencies, and vice versa
Statement▸
Year 10 · Number · Financial mathematics
NZC26-P4-NUM-FIN-P-Y10-01
Also under NA5-4:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.






