plumiGeometric proof: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 6.2 Geometric proof, 2021–2025, with its mark scheme and examiner’s report.
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All 8 questions on Geometric proof, as a list
- June 2025, Paper 1, Q12 (4 marks): A, B and C are points on a circle, centre O. Prove that y = 180 – 5x
- June 2024, Paper 2, Q22 (5 marks): A, B and C are points on a circle. PAC is a straight line. PB is a tangent to the circle. AC = BC Prove that x = 90 – 2 3 y
- June 2023, Paper 2, Q21 (4 marks): A, B, C, D and E are points on a circle, centre O. Work out the value of x. x =
- June 2022, Paper 1, Q15 (5 marks): B, C and D are points on a circle, centre P. AB and AC are tangents to the circle. Prove that y = 90 + x 2
- June 2022, Paper 2, Q14 (3 marks): PQRS is a cyclic quadrilateral. Angle PSR = 4(x + 15°) Angle PQR is 40° smaller than angle PSR. Work out the value of x. Answer degrees
- November 2021, Paper 1, Q23 (6 marks): F, H, K and J are points on a circle. Chords HJ and KF intersect at L. EFG is a tangent to the circle. FH and JK are parallel. 23 (a) Angle FHJ = 2x Give reason
- November 2021, Paper 2, Q15 (5 marks): A, B and C are points on a circle, centre O. ACD is a straight line. Angle BCD = w Prove that w = x + 90°
- Specimen, Paper 1, Q9 (4 marks): A, B, C and D are points on a circle. ∠BCA = x ∠ACD = 2x ∠CAD = 3x ∠CAB = 4x Prove that AC is a diameter. x D C A Not drawn accurately B 2x 4x 3x
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