This deep dive covers Method: Solving Inverse Problems 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 3 of 6 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Method: Solving Inverse Problems
1
Find k by multiplying the two given values: k = x × y
2
Use k to find the unknown: y = k ÷ x (or x = k ÷ y)
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 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.