Coordinate geometry: past paper questions

Where the questions come from

• Question 20May/June 2026, paper 11Structured3 marks

  The diagram shows line $L$ on a grid. Find the equation of line $L$ in the form $y=mx+c$.

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• Question 5Oct/Nov 2025, paper 13Structured4 marksHas a diagram

  The diagram shows quadrilateral $ABCD$ on a $1{\text{ cm}}^2$ grid. Write down the coordinates of point $B$.

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• Question 18Oct/Nov 2024, paper 11Structured4 marksHas a diagram

  The diagram shows a rectangle and two points, $P$ and $C$, on a $1{\text{ cm}}^2$ grid. Write down the coordinates of point $C$.

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• Question 22Oct/Nov 2023, paper 12Structured5 marksHas a diagram

  Point $A$ and line $L$ are shown on the grid. Write down the coordinates of point $A$.

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• Question 19May/June 2026, paper 12Structured4 marks

  Line $L$ has the equation $y=3x+7$. Write down the gradient of line $L$.

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• Question 21Oct/Nov 2025, paper 31Structured3 marksHas a diagram

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

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• Question 12Oct/Nov 2024, paper 13Structured1 mark

  Write down the equation of a line parallel to the line $y=2x$.

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• Question 17Oct/Nov 2023, paper 13Structured3 marksHas a diagram

  Find the equation of line $L$ in the form $y=mx+c$.

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• Question 27May/June 2026, paper 31Structured2 marks

  Find the equation of the line parallel to $y=4x+3$ that passes through $(2,9)$.

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• Question 4Oct/Nov 2025, paper 32Structured3 marks

  Write down the coordinates of point P.

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• Question 21May/June 2026, paper 33Structured3 marks

  On the diagram, sketch the graph of $y=3x-2$.

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• Question 25Oct/Nov 2025, paper 32Structured5 marks

  The grid shows line L. Find the equation of line L in the form y = mx + c.

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• Question 8Oct/Nov 2024, paper 33Structured11 marksHas a diagram

  Complete the table of values for $y=4x-x^2$.

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• Question 10Oct/Nov 2023, paper 33Structured4 marksHas a diagram

  The sketch shows the graph of $y=x^2-2x-3$.

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• Question 26Oct/Nov 2025, paper 33Structured3 marks

  Line $L$ is drawn on the grid. Find the equation of line $L$ in the form $y=mx+c$.

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• Question 9May/June 2024, paper 11Structured2 marksHas a diagram

  The diagram shows two sides of a parallelogram $ABCD$. Find the coordinates of point $D$.

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• Question 16May/June 2025, paper 12Structured11 marksHas a diagram

  The diagram shows a point $P$ and three triangles, $A$, $B$ and $C$, on a $1{\text{ cm}}^2$ grid. Find the area of triangle $B$.

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• Question 13May/June 2024, paper 11Structured1 mark

  Find the coordinates of the point where the line $y=3x-5$ crosses the $y$-axis.

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• Question 6May/June 2023, paper 31Structured14 marks

  Complete the table of values for $y=5+3x-x^2$.

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• Question 10May/June 2025, paper 13Structured3 marksHas a diagram

  Line $A$ has equation $y=3x+1$. Line $B$ has equation $y=3x-1$. Draw a ring around the description that is correct.

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• Question 6May/June 2024, paper 31Structured11 marksHas a diagram

  The diagram shows a point, $P$, three triangles, $A$, $B$ and $C$, and part of triangle $D$ on a $1{\text{ cm}}^2$ grid. On the grid, mark the image of point $P$ after a reflection in the line $y=0$.

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• Question 7May/June 2023, paper 32Structured13 marksHas a diagram

  Find the equation of line $L$.

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• Question 12May/June 2025, paper 31Structured2 marks

  The equation of line $L$ is $y=5x-3$. Write down the gradient of line $L$.

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• Question 6May/June 2024, paper 32Structured14 marks

  Complete the table of values for $y=-x^2+8x+1$.

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• Question 6May/June 2023, paper 33Structured12 marksHas a diagram

  Write down the equation of line $L$ in the form $y=mx+c$.

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• Question 15May/June 2025, paper 31Structured2 marks

  Write down the letter of the graph that shows these lines.

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• Question 3May/June 2024, paper 33Structured10 marksHas a diagram

  The grid shows a trapezium. On the grid, draw an enlargement of the trapezium with scale factor 3.

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• Question 15May/June 2025, paper 32Structured2 marks

  The equation of a line is $y=-5x+7$. Write down the gradient of this line.

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• Question 9May/June 2024, paper 33Structured12 marks

  Line $L$ has a gradient of 4 and passes through the point $(0,3)$. Write down the equation of line $L$ in the form $y=mx+c$.

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