Direct and Inverse Proportion (Edexcel GCSE Maths): Quizzes

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Direct and inverse proportion
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What does the symbol \propto mean in mathematics?

is proportional to

In direct proportion, how do the two variables move?

In the same direction

In direct proportion, if one variable doubles, what happens to the other?

It also doubles

What is the equation form for direct proportion where yxy \propto x?

y=kxy = kx

Where must the graph of a direct proportion relationship pass through?

The origin (0,0)

In inverse proportion, how do the two variables move?

In opposite directions

What is the equation form for inverse proportion where y1xy \propto \frac{1}{x}?

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

What shape is the graph of an inverse proportion relationship?

A hyperbola

If yy is proportional to x2x^2, what is the equation?

y=kx2y = kx^2

If VV is inversely proportional to rr cubed, what is the equation?

V=kr3V = \frac{k}{r^3}

What is the first step in the five-step method for proportion problems?

Convert to proportionality using \propto

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