plumiCircle theorems: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on G10 Circle theorems, 2017–2025, with its mark scheme and examiner’s report.
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All 19 questions on Circle theorems, as a list
- June 2025, Paper 3H, Q20 (4 marks): A, B, C and D are points on a circle with centre O. A 80 O D 43 B C Find the size of angle OBC. Write down any circle theorems that you use. °
- November 2024, Paper 1H, Q17 (4 marks): A, B and C are points on a circle, centre O. A O B C D CD is a tangent to the circle. Angle BCD = 40° Angle OAB = 3 × angle OAC Work out the size of angle ACD.
- June 2024, Paper 2H, Q22 (4 marks): A and B are points on a circle, centre O. M A P O B N MAP and NBP are tangents to the circle. Prove that AP = BP
- November 2023, Paper 3H, Q21 (4 marks): A 35° D O B C 28° E A, B, C and D are points on the circumference of a circle, centre O. AC is a diameter of the circle. ADE and BCE are straight lines. Work ou
- June 2023, Paper 1H, Q21 (4 marks): A, B and D are points on a circle with centre O. CDE is the tangent to the circle at D. O E 64° A 51° D B C Work out the size of angle ADC. Write down any circl
- November 2022, Paper 1H, Q18 (3 marks): D O x° A B C A and B are points on a circle, centre O. DBC is the tangent to the circle at B. Angle AOB = x° Show that angle ABC = 1 2 x° You must give a reason
- November 2022, Paper 3H, Q16 (4 marks): A B 60° C E D ABDE is a cyclic quadrilateral. ABC and EDC are straight lines. Angle DBC = 60° Given that size of angle EAB : size of angle BCD = 2 : 1 work out
- June 2022, Paper 2H, Q20 (4 marks): A, B, C and D are points on the circumference of a circle, centre O. ADE and BCE are straight lines. A O D 132° B C 16° E Work out the size of angle CDE. Give a
- June 2022, Paper 3H, Q15 (3 marks): P, Q, R and S are four points on a circle. P Q X R S PXR and SXQ are straight lines. Prove that triangle PQX and triangle SRX are similar.
- November 2021, Paper 2H, Q14 (4 marks): S B T 20° A D C A, B, C and D are four points on a circle. SBT is a tangent to the circle. Angle ABD = 20° the size of angle BAD : the size of angle BCD = 3 : 1
- November 2020, Paper 3H, Q14 (4 marks): A B C F 40° D 100° E Points B, D, E and F lie on a circle. ABC is the tangent to the circle at B. Find the size of angle ABD. You must give a reason for each st
- November 2019, Paper 2H, Q17 (3 marks): B O 32° C D A A and B are points on a circle with centre O. CAD is the tangent to the circle at A. BOD is a straight line. Angle ODA = 32° Work out the size of
- June 2019, Paper 2H, Q18 (5 marks): The points A, B, C and D lie on a circle. CDE is a straight line. B 40° C D A E BA = BD CB = CD Angle ABD = 40° Work out the size of angle ADE. You must give a
- November 2018, Paper 1H, Q12 (3 marks): B E 35° O 56° A C D A, B and C are points on the circumference of a circle, centre O. DAE is the tangent to the circle at A. Angle BAE = 56° Angle CBO = 35° Wor
- November 2018, Paper 2H, Q21 (4 marks): A P O C R B A, B, R and P are four points on a circle with centre O. A, O, R and C are four points on a different circle. The two circles intersect at the point
- June 2018, Paper 1H, Q11 (5 marks): A O C B A and B are points on a circle, centre O. BC is a tangent to the circle. AOC is a straight line. Angle ABO = x°. Find the size of angle ACB, in terms of
- June 2018, Paper 2H, Q13 (4 marks): C E B O xq D yq A F A, B, C and D are points on the circumference of a circle, centre O. FDE is a tangent to the circle. (a) Show that y – x = 90 You must give
- November 2017, Paper 3H, Q20 (4 marks): C A O B A, B and C are points on the circumference of a circle, centre O. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circ
- June 2017, Paper 2H, Q15 (3 marks): A, B, C and D are four points on the circumference of a circle. A B E C D AEC and BED are straight lines. Prove that triangle ABE and triangle DCE are similar.
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