Circle theorems II: past paper questions

Where the questions come from

• Question 18May/June 2026, paper 22Structured4 marksHas a diagram

  $A$, $B$ and $C$ lie on a circle, centre $O$. $DE$ is a tangent to the circle at $A$. Angle $BAC={80}^{\circ }$ and angle $BAD={55}^{\circ }$.

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• Question 16Oct/Nov 2025, paper 11Structured6 marksHas a diagram

  Points $Q$, $R$, $S$ and $T$ lie on a circle, centre $O$. $UV$ is a tangent to the circle at $T$. $SOQV$ is a straight line.

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• Question 15Oct/Nov 2023, paper 11Structured4 marksHas a diagram

  $B$, $C$ and $D$ are points on the circle, centre $O$. $AB$ and $AC$ are tangents to the circle. Angle $BAC={38}^{\circ }$.

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• Question 14Oct/Nov 2025, paper 12Structured4 marksHas a diagram

  $A$, $B$, $C$ and $D$ are points on a circle, centre $O$. $EF$ is a tangent to the circle at $A$. Angle $BAF={65}^{\circ }$ and angle $AOD={80}^{\circ }$.

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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 14May/June 2025, paper 22Structured3 marksHas a diagram

  $PQRS$ is a cyclic quadrilateral. $APB$ is a tangent to the circle at $P$. Angle $SPB={37}^{\circ }$ and angle $PSQ={85}^{\circ }$.

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