Gradient of linear graphs: past paper questions

Where the questions come from

• Question 12May/June 2026, paper 21Structured2 marks

  The coordinates of $A$ are $(3,20)$. The coordinates of $B$ are $(5,10)$. Work out the gradient of $AB$.

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• Question 24May/June 2025, paper 23Structured7 marks

  $A$ is the point $(a,12)$ and $B$ is the point $(b,27)$. Find the $y$-coordinate of the midpoint of $AB$.

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• Question 14May/June 2024, paper 22Structured2 marks

  $A$ is the point $(0,2)$ and $B$ is the point $(8,6)$. Find the equation of line $AB$.

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• Question 6May/June 2023, paper 41Structured14 marks

  In the square $ABCD$, $A$ has coordinates $(-2,1)$ and $B$ has coordinates $(1,5)$. $C$ has coordinates $(a,b)$, where $a$ and $b$ are both positive integers. Find the coordinates of $C$ and the coordinates of $D$.

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• Question 8May/June 2026, paper 23Structured4 marksHas a diagram

  The line $L$ is shown on the grid. Find the gradient of line $L$.

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• Question 10May/June 2024, paper 23Structured2 marks

  Find the gradient of the line joining the points $(-2,7)$ and $(3,1)$.

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