Ratio, rates and similarity — Topic Review | Year 9

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.

Complete each paper and show your working.

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