Angles: past paper questions

Where the questions come from

• Question 4Oct/Nov 2025, paper 11Structured4 marksHas a diagram

  The diagram shows five straight lines. The diagram shows three horizontal parallel lines and two sloping parallel lines. Find the value of $p$.

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• Question 15Oct/Nov 2024, paper 12Structured2 marks

  Each interior angle of a regular polygon is ${160}^{\circ }$. Find the number of sides of the polygon.

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• Question 6Oct/Nov 2023, paper 11Structured2 marksHas a diagram

  The diagram shows a straight line crossing two parallel lines. Work out the value of $x$.

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• Question 3Oct/Nov 2025, paper 12Structured4 marksHas a diagram

  ABCD is a parallelogram. $E$ is a point on $AB$ and $EC=BC$. Angle $ECB={40}^{\circ }$ and angle $DEC={60}^{\circ }$.

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• Question 9Oct/Nov 2024, paper 21Structured10 marksHas a diagram

  $ABD$ is a triangle. $C$ is a point on $BD$ and $E$ is a point on $AD$. $AB$ is parallel to $EC$ and $CD=DE$.

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• Question 10Oct/Nov 2023, paper 11Structured4 marks

  Four exterior angles of a pentagon are ${150}^{\circ }$, ${100}^{\circ }$, ${45}^{\circ }$ and ${35}^{\circ }$. Calculate the size of the remaining exterior angle.

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• Question 5Oct/Nov 2025, paper 21Structured3 marksHas a diagram

  The diagram shows an isosceles triangle. Work out the value of x.

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• Question 7May/June 2024, paper 11Structured3 marksHas a diagram

  A square and a regular pentagon are joined along one edge as shown in the diagram. Calculate the value of $x$.

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• Question 6Oct/Nov 2023, paper 12Structured2 marksHas a diagram

  AB and CD are parallel lines. EC and FB are parallel lines. Angle ABF = 73°.

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• Question 7Oct/Nov 2025, paper 21Structured2 marks

  Work out the size of the interior angle of a regular decagon.

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• Question 3May/June 2024, paper 21Structured5 marksHas a diagram

  Triangle $PQR$ is isosceles with $PQ=QR$. The exterior angle of the triangle at $R$ is ${142}^{\circ }$. Calculate angle $PQR$.

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• Question 2Oct/Nov 2023, paper 22Structured8 marksHas a diagram

  Find the size of one interior angle of a regular 15-sided polygon.

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• Question 9Oct/Nov 2025, paper 22Structured3 marksHas a diagram

  The diagram shows a regular pentagon and a regular hexagon joined along one edge. Find the value of $x$.

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• Question 10May/June 2024, paper 22Structured7 marksHas a diagram

  The diagram shows a pentagon. Calculate the interior angle $B$.

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• Question 3May/June 2023, paper 11Structured2 marksHas a diagram

  The diagram shows four straight lines meeting at a point. Work out the value of $x$.

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• Question 4May/June 2025, paper 12Structured3 marksHas a diagram

  AEC and BED are straight lines. ED = EC. Find the value of $x$.

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• Question 3May/June 2023, paper 21Structured7 marksHas a diagram

  $PQ$ is parallel to $RS$. $ABCD$ is a straight line. $BE=CE$ and $A\widehat{B}E={110}^{\circ }$.

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• Question 6May/June 2025, paper 12Structured4 marksHas a diagram

  The scale drawing shows the positions of two villages, A and B. The scale is $1\text{ cm}$ to $5\text{ km}$. Find the actual distance between village A and village B.

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• Question 3May/June 2023, paper 22Structured8 marksHas a diagram

  The diagram shows the equilateral triangle $B$ and part of the regular polygon $A$ which have a common side. The interior angle of polygon $A$ is ${165}^{\circ }$. Find the value of $y$.

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• Question 8May/June 2025, paper 22Structured2 marks

  Calculate the interior angle of a regular octagon.

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