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Geometric proof: AQA GCSE Maths questions

Every AQA GCSE Maths exam question on G6 Geometric proof, 2017–2025, with its mark scheme and examiner’s report.

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1,304 questions

  1. Q24

    November 2024 · Paper 2H

    4 marksG6 Geometric proofG5 Congruent triangles
    The whole paper ↗
    November 2024 Paper 2H, question 24: In the diagram, ABCD and AEFG are congruent rectangles D lies on EF angle ADE = x Prove that GD bisects angle ADF.

  2. Q19

    November 2023 · Paper 3H

    4 marksG5 Congruent trianglesG6 Geometric proof
    The whole paper ↗
    November 2023 Paper 3H, question 19: AC is a diameter of a circle, centre E. E is the midpoint of BD. Prove that triangle ABE is congruent to triangle CDE. Not drawn accurately

  3. Q28

    June 2022 · Paper 2H

    4 marksG6 Geometric proofG3 Angles and polygons
    The whole paper ↗
    June 2022 Paper 2H, question 28: AB, BC and CD are sides of a regular 12-sided polygon. CDMN is a square. Prove that points A, B and N lie on a straight line.

  4. Q29

    November 2021 · Paper 3H

    4 marksG10 Circle theoremsG6 Geometric proof
    The whole paper ↗
    November 2021 Paper 3H, question 29: A, B and C are three points on the circumference of a circle, centre O. BD and CD are tangents to the circle. ABDC is a kite. Angle BDC is x Prove that angle AB

  5. Q20

    June 2019 · Paper 1H

    5 marksG10 Circle theoremsG6 Geometric proof
    The whole paper ↗
    June 2019 Paper 1H, question 20: A, B and C are points on a circle. CD is a tangent. Not drawn accurately 20 (a) Assume that triangle ABC is isosceles with AC = BC Prove that AB is parallel to

  6. Q19

    November 2017 · Paper 1H

    3 marksG6 Geometric proof
    The whole paper ↗
    November 2017 Paper 1H, question 19: The diagram shows a triangle and a trapezium. Not drawn accurately Prove that a = b

  7. Q10

    Specimen · Paper 3H

    3 marksG3 Angles and polygonsG6 Geometric proof
    The whole paper ↗
    Specimen Paper 3H, question 10: ABC is a triangle with AB = AC BA is parallel to CD. Show that angle x = 30 Not drawn accurately 15° C B P A x D
All 7 questions on Geometric proof, as a list
  1. November 2024, Paper 2H, Q24 (4 marks): In the diagram, ABCD and AEFG are congruent rectangles D lies on EF angle ADE = x Prove that GD bisects angle ADF.
  2. November 2023, Paper 3H, Q19 (4 marks): AC is a diameter of a circle, centre E. E is the midpoint of BD. Prove that triangle ABE is congruent to triangle CDE. Not drawn accurately
  3. June 2022, Paper 2H, Q28 (4 marks): AB, BC and CD are sides of a regular 12-sided polygon. CDMN is a square. Prove that points A, B and N lie on a straight line.
  4. November 2021, Paper 3H, Q29 (4 marks): A, B and C are three points on the circumference of a circle, centre O. BD and CD are tangents to the circle. ABDC is a kite. Angle BDC is x Prove that angle AB
  5. June 2019, Paper 1H, Q20 (5 marks): A, B and C are points on a circle. CD is a tangent. Not drawn accurately 20 (a) Assume that triangle ABC is isosceles with AC = BC Prove that AB is parallel to
  6. November 2017, Paper 1H, Q19 (3 marks): The diagram shows a triangle and a trapezium. Not drawn accurately Prove that a = b
  7. Specimen, Paper 3H, Q10 (3 marks): ABC is a triangle with AB = AC BA is parallel to CD. Show that angle x = 30 Not drawn accurately 15° C B P A x D

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