This diagram covers Visual Understanding within Proportion for GCSE Mathematics. Revise Proportion in Number for GCSE Mathematics with 12 exam-style questions and 22 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 6 of 16 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.
Topic position
Section 6 of 16
Practice
12 questions
Recall
22 flashcards
Visual Understanding
Direct Proportion Graph
y = kx
• Straight line
• Passes through origin (0,0)
• Gradient = k
• As x doubles, y doubles
• As x halves, y halves
Inverse Proportion Graph
y = k/x
• Curved line (hyperbola)
• Never touches axes
• xy = k (constant)
• As x increases, y decreases
• As x doubles, y halves
Finding the Constant k
Direct: k = y/x
Inverse: k = xy
Use any known pair (x,y)
Then apply to find unknowns
Keep building this topic
Read this section alongside the surrounding pages in Proportion. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Proportion
y is directly proportional to x. Which equation could represent this relationship?
Explain how you can tell from a graph whether two quantities are in direct or inverse proportion.
Quick Recall Flashcards
12 questions on Proportion — practise free
Instant marking, adaptive difficulty, and 22 spaced repetition flashcards. Free until your GCSEs.
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