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 6 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and 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 |
Practice questions for Inverse Proportion
Which of the following correctly reads the mathematical statement y ∝ 1/x?
Explain what it means for y to be inversely proportional to x. Your answer should refer to the equation and the graph.
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.