Direct & inverse proportion graphs
Edexcel GCSE Maths revision on Direct & inverse proportion graphs. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 17 practice questions on this topic.
Sample questions (3 of 17)
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Question 1
Which type of graph represents the relationship where y equals k multiplied by x?
- A) A straight line passing through the origin
- B) A curved line showing an inverse growth
- C) A line that never touches the axes now
- D) A parabola opening towards the y axis
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Answer: A straight line passing through the origin
The correct answer is a straight line passing through the origin. This represents direct proportion, where the ratio of y to x remains constant, which is a key property of linear graphs passing through zero.
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Question 2
What is the constant of proportionality if y is directly proportional to x and y equals 12 when x equals 4?
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Answer: 3
The constant of proportionality k is found by dividing y by x, which is 12 divided by 4. This gives a value of 3, meaning the relationship is defined by y = 3x.
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Question 3
Which feature identifies the graph of y equals k divided by x?
- A) It forms a hyperbola in two quadrants
- B) It is a line with a positive gradient
- C) It shows a constant rate of change up
- D) It crosses the origin at zero point x
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Answer: It forms a hyperbola in two quadrants
The correct answer is that it forms a hyperbola in two quadrants. This is the standard shape for inverse proportion, where y approaches infinity as x approaches zero, and vice versa.
Want to test yourself on the remaining cards for this topic?
14 more questions on Direct & inverse proportion graphs — plus mistakes tracking and spaced repetition across the whole Maths spec.