YEAR 9 · RATIO, RATES AND SIMILARITY

Topic review.

Connect the key ideas, then choose a practice paper.

01 / QUICK RECAP

Connect the ideas.

Direct proportion has a constant quotient and a rule of the form $y = k x$ .
Convert both quantities to compatible units before comparing rates.
A ratio scale uses the same unit on both sides.
Match corresponding vertices before calculating side ratios.
An enlargement needs a centre and a scale factor.
A useful model states assumptions, checks data and respects practical constraints.

02 / PRACTICE TESTS

Put it together.

Choose a paper and show your working.

Ratio, rates and similarity — practice paper 1
Practise proportional rules, unit conversions, map scales, similar figures and enlargements, with reasoning questions.
16 questions · 35 marks · 50 minutes · Scientific calculator
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Ratio, rates and similarity — practice paper 2
Practise proportional rules, unit conversions, map scales, similar figures and enlargements, with reasoning questions.
16 questions · 37 marks · 50 minutes · Scientific calculator
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Ratio, rates and similarity — applications paper
Apply proportional reasoning to routes, shadows, design decisions and the limits of models.
16 questions · 43 marks · 60 minutes · Scientific calculator
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Curriculum reference & lesson scope

Australian Curriculum v9 and SA Curriculum Mathematics

Year 9 proportional modelling, rates, scale, similarity and enlargement. Assumptions, interpretation and model limitations are taught alongside calculation.

Official curriculum source ↗

Connect the ideas.

Put it together.

Ratio, rates and similarity — practice paper 1

Ratio, rates and similarity — practice paper 2

Ratio, rates and similarity — applications paper