Last updated on Nov 06, 2026

Direct Variation (VCE SSCE General Mathematics): Quizzes

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Direct Variation

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What does it mean when $y$ varies directly as $x$ ?

$y = kx$ where $k$ is a positive constant

What does the symbol $\propto$ mean?

Is proportional to or varies as

What is the graph of $y$ against $x$ when $y \propto x$ ?

Straight line through the origin

If $y = kx$ , how do you find the constant of variation $k$ ?

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

If distance $d$ varies as the square of time $t$ , how is this written?

$d \propto t^2$

If $y \propto x^2$ , what graph gives a straight line through the origin?

$y$ against $x^2$

If $y \propto x$ and $y = 21$ when $x = 3$ , what is $k$ ?

$7$

If $y = 3x^2$ and $x = 4$ , what is $y$ ?

$48$

In direct variation, what happens to $y$ as $x$ increases?

$y$ also increases

In the equation $d = 100t$ , what is the constant of variation?

$100$

Explore VCE SSCE General Mathematics Revision Notes by Topics

Direct Variation

Inverse Variation

Data Transformations

Logarithms

Further Modelling of Non-Linear Data

Explore VCE SSCE General Mathematics Model Answers by Topics

Direct Variation

Inverse Variation

Data Transformations

Logarithms

Further Modelling of Non-Linear Data

Explore VCE SSCE General Mathematics Flashcards by Topics

Direct Variation

Inverse Variation

Data Transformations

Logarithms

Further Modelling of Non-Linear Data

Explore VCE SSCE General Mathematics Exam Questions by Topics

Direct Variation

Inverse Variation

Data Transformations

Logarithms

Further Modelling of Non-Linear Data

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