Ratios and rates.
Build and compare ratios and rates, connect proportional tables with graphs, and use sensible models for practical decisions.
Work through the topic
Learn the method, follow the examples, then try the worksheet.
- 01
Ratio scaling and division review
Use equivalent ratios to scale quantities and share a total fairly.
- 02
Unit rates
Express a comparison per one unit so quantities can be scaled and compared.
- 03
Comparing rates and best buys
Compare like-for-like unit prices, then check which purchase actually meets a need.
- 04
Speed, distance and time
Use distance, time and average speed with matching units, including journeys with more than one stage.
- 05
Converting compatible units
Convert a rate by changing both the quantity unit and the time unit correctly.
- 06
Direct-proportion tables and graphs
Recognise direct proportion in a table, rule or graph, and distinguish it from a fixed starting fee.
- 07
Modelling practical rate problems and checking assumptions
Turn a practical situation into a rate model, state its assumptions and check whether the answer is usable.
Topic review
Revisit the key ideas, then choose a practice paper.