This deep dive covers Advanced: Complex Proportions 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 12 of 16 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 12 of 16
Practice
12 questions
Recall
22 flashcards
Advanced: Complex Proportions
More complex relationships include:
- Square relationships: y ∝ x² (area problems)
- Cube relationships: y ∝ x³ (volume problems)
- Square root: y ∝ √x (some physics laws)
- Combined: z ∝ xy (z proportional to product of x and y)
Key insight: The constant k gives the relationship its "strength"
If y ∝ x² and k = 3, then doubling x makes y four times bigger (×4), but also three times that due to k
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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