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Inverse Proportion

Revise Inverse Proportion in Ratio & Proportion for GCSE Mathematics with 15 exam-style questions and 10 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.

Study this topic

1

The Opposite of Direct

Introduction2

Key Features of Inverse Proportion

Key Facts3

Method: Solving Inverse Problems

Deep Dive4

Worked Example

Notes5

Common Mistakes

Exam Tips

Sample Flashcards

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.
What is the formula for inverse proportion?
y = k/x, where k is the constant of proportionality. The product xy is always constant.

Sample Questions

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

15

exam-style questions

10

revision flashcards

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Direct Proportion

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Proportion Graphs