Proportional Relationships (Edexcel A-Level Mathematics): Quizzes

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Proportional Relationships
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What is the key feature of a proportional relationship between two quantities?

They maintain a constant ratio

If yy is directly proportional to xx, which equation represents this relationship?

y=kxy = kx

In a directly proportional relationship y=kxy = kx, which ratio remains constant?

yx\frac{y}{x}

What does the graph of a proportional relationship always pass through?

The origin (0,0)(0,0)

What does the slope of a proportional relationship graph represent?

The constant of proportionality kk

If y=10y = 10 when x=2x = 2 in a direct proportion, what is kk?

55

If 44 litres cover 2020 m², how many litres cover 3535 m² (direct proportion)?

77 litres

If yy is inversely proportional to xx, which equation represents this?

y=kxy = \frac{k}{x}

If y=8y = 8 when x=2x = 2 (inverse proportion), what is yy when x=4x = 4?

44

How can you confirm proportionality from a graph?

Check if it's a straight line through origin

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