Worked Example

Part of Inverse Proportion · Section 4 of 6

Study NotesUnit: Ratio & ProportionGCSE

6 workers take 15 days to complete a job. How long would 10 workers take?

Step 1 Find k (workers × days)

k = 6 × 15 = 90

Step 2 Use k to find new time

days = k ÷ workers = 90 ÷ 10

Answer: 9 days

This study notes covers Worked Example 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 4 of 6 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

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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