Ratio & ProportionStudy Notes

Worked Example

Part of Inverse ProportionGCSE Mathematics

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 5 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 4 of 5

Practice

15 questions

Recall

10 flashcards

Worked Example

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

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.

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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