01 / QUICK RECAP
Connect the ideas.
- Match units before simplifying a ratio or comparing rates.
- A ratio scales by multiplying every term by the same factor.
- A unit rate describes the amount per one unit.
- Use total distance divided by total time for average speed.
- Direct proportion has the form and passes through the origin.
- Check assumptions and round an answer to suit the actual situation.
02 / TOPIC TEST
Put it together.
Choose a paper and show your working.
Ratios and rates — topic test
A progressive paper covering ratio, unit rates, proportional graphs, journeys and practical models.
15 questions · 40 marks · 45 minutes · By hand
Curriculum reference & lesson scope
Australian Curriculum v9 / SA Curriculum Mathematics
Ratio scaling and division review; unit rates; comparing rates and best buys; speed, distance and time; converting compatible units; direct-proportion tables and graphs; modelling practical rate problems and checking assumptions.
Official curriculum source ↗