Proportion: past paper questions

Where the questions come from

• Question 17May/June 2026, paper 22Structured4 marks

  $f$ is inversely proportional to the square of $h$. When $f=-\frac{3}{4}$, $h=2$. Find $f$ when $h=-5$.

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• Question 20Oct/Nov 2025, paper 22Structured3 marks

  $y$ is inversely proportional to $(x-3{)}^2$. $y=4$ when $x=7$. Find the value of $y$ when $x=-2$.

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• Question 19Oct/Nov 2024, paper 11Structured2 marks

  $x$ is inversely proportional to the square root of $y$. When $x=2$, $y=16$. Find $y$ when $x=32$.

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• Question 17Oct/Nov 2023, paper 11Structured2 marks

  $y$ is directly proportional to the square root of $x$. When $x=16$, $y=2$. Find $y$ when $x=25$.

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• Question 18May/June 2024, paper 11Structured3 marks

  In this table, $p$ is directly proportional to $q^2$. $$\overline{)\begin{array}{cccc}p& 12& a& 48\\ q& 2& 7& b\end{array}}$$ Calculate the value of $a$ and the value of $b$.

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• Question 22May/June 2023, paper 12Structured4 marks

  $y$ is directly proportional to $w^2$. $x$ is inversely proportional to $w$. When $w=10$, $y=5$ and $x=0.4$.

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