Direct and Inverse Proportion Mind Map for Revision
See how the two types of proportion connect, with their graphs, formulas and examples. Turn your own worksheet or notes into a map with AI.
No credit card required
AI Generated Preview
Trusted by learners from top universities
CogniGuide at a glance
- What you get
- Interactive mind maps of the main ideas and how they connect. Free: overview maps (detailed maps on your first 3 creations). Plus: detailed maps with supporting concepts.
- Exports
- Your first PDF or PNG export is free; Plus exports anytime.
- Price
- Free plan: 5 creations a week, up to 3 a day. Plus: $9.99/month or $99.90/year (USD; local prices at checkout).
- Sign-up
- A free account is required before you create anything (Google or email). No credit card.
- What you can upload
- PDF, Word (.docx), PowerPoint (.pptx), plain text or Markdown, and images (PNG, JPG, WebP, GIF), or type a topic. One file per creation on the free plan; several at once on Plus.
How it compares: vs Knowt · vs Quizlet · vs NotebookLM · vs Mapify
Build a Proportion Map From Your Notes
Upload your textbook pages or worksheet, and CogniGuide arranges the rules, graphs and examples into branches you can expand.
Map from your own material
Upload a PDF, Word file, slides or photo of your notes and get a map of your proportion topic.
Clear structure for revision
Direct and inverse rules sit side by side, so you can compare their graphs, formulas and examples at a glance.
Quiz and flashcards next
Turn the map into a quiz to test yourself, or make flashcards from the same notes.
How to Make Your Own Proportion Mind Map
Three steps from your notes to a map you can study and test yourself with.
- 1
Add your notes or topic
Upload your worksheet or class notes, or simply type direct and inverse proportion.
- 2
AI builds the map
The map groups the definitions, graphs, formulas and worked examples into expandable branches.
- 3
Study, expand and quiz
Expand any branch with AI, edit the text, then turn the map into a quiz or export it as PNG or PDF.
Direct and Inverse Proportion Mind Map Explained
A direct and inverse proportion mind map organises two ways quantities can relate. In direct proportion, one quantity multiplies by a constant as the other increases, so y = kx and the graph is a straight line through the origin. In inverse proportion, the product stays constant, so y = k/x and the graph is a curve that never touches the axes.
- Direct proportion: y = kx, straight line through the origin
- Inverse proportion: xy = k, hyperbolic curve
- Constant of proportionality: how to find k from one pair of values
- Real examples: speed and time, workers and days, cost and quantity
- Problem solving: unitary method and cross-multiplication steps
Use the map to revise the rules, compare the graphs and check which type a word problem uses. CogniGuide can build a personalised version from your own class notes.
Direct and Inverse Proportion Questions
Common questions about the map and how to make your own.
How can I tell if two quantities are in direct proportion?
If one quantity doubles when the other doubles, and their ratio stays the same, they are in direct proportion. Their graph is a straight line through the origin.
What is the difference between direct and inverse proportion?
In direct proportion, the ratio y/x is constant. In inverse proportion, the product xy is constant, so as one value increases the other decreases.
Which files can I use to build my map?
You can upload a PDF, Word or PowerPoint file, a text or Markdown file, or an image of your notes, or simply type the topic.
Can I turn my proportion map into a quiz?
Yes. Any map can become a quiz to test yourself, and the same notes can also be turned into flashcards. A free plan allows 5 creations a week.