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Ratio & ProportionKey Facts

Key Features of Inverse Proportion

Part of Inverse Proportion — GCSE Mathematics

This key facts covers Key Features of Inverse Proportion within Inverse Proportion for GCSE Mathematics. Revise Inverse Proportion in Ratio & Proportion for GCSE Mathematics with 15 exam-style questions and 10 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 2 of 5 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 5

Practice

15 questions

Recall

10 flashcards

Key Features of Inverse Proportion

Feature What It Means
y ∝ 1/x y is inversely proportional to x
y = k/x The equation form (k is constant)
xy = k The product is always constant
Graph Curved (hyperbola), never touches axes

Keep building this topic

Read this section alongside the surrounding pages in Inverse Proportion. That gives you the full topic sequence instead of a single isolated revision point.

The Opposite of DirectMethod: Solving Inverse ProblemsWorked ExampleCommon Mistakes

Practice Questions for Inverse Proportion

Which of the following correctly reads the mathematical statement y ∝ 1/x?

  • A. y is directly proportional to x
  • B. y is inversely proportional to x
  • C. y equals 1 divided by x
  • D. y is greater than x
1 markfoundation

Explain what it means for y to be inversely proportional to x. Your answer should refer to the equation and the graph.

2 marksstandard

Quick Recall Flashcards

What is the formula for inverse proportion?
y = k/x, where k is the constant of proportionality. The product xy is always constant.
What shape is the graph of y = k/x?
A hyperbola — a curved line that never touches either axis. For k > 0, the curve is in the 1st and 3rd quadrants.

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The Opposite of Direct

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Method: Solving Inverse Problems