plumiCircles: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on C.2 Circles, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 12 questions on Circles, as a list
- June 2025, Paper 2, Q9 (9 marks): A circle with centre C has equation (x – 12)2 + (y – 2)2 = 100 The graph with equation y = │3x – 36│ – 8 intersects the circle at the points A, B and D as shown
- June 2024, Paper 2, Q1 (1 mark): One of the equations below is the equation of a circle. Identify this equation. [1 mark] Tick (✓) one box. (x + 1)2 – (y + 2)2 = –36 (x + 1)2 – (y + 2)2 = 36 (x
- June 2024, Paper 3, Q9 (9 marks): Figure 1 below shows a circle. Figure 1 y x O P Q The centre of the circle is P and the circle intersects the y-axis at Q as shown in Figure 1. The equation of
- June 2023, Paper 1, Q9 (9 marks): The points P and Q have coordinates (−6, 15) and (12, 19) respectively. 9 (a) (i) Find the coordinates of the midpoint of PQ [1 mark] 9 (a) (ii) Find the equati
- June 2023, Paper 2, Q3 (1 mark): A circle has equation (x − 5)2 + (y − 13)2 = 16 Find the radius of the circle. Circle your answer. [1 mark] 4 12 16 256 for the next question
- June 2022, Paper 1, Q8 (11 marks): The lines L1 and L2 are parallel. L1 has equation 5x + 3y = 15 and L2 has equation 5x + 3y = 83 L1 intersects the y-axis at the point P. The point Q is the poin
- June 2022, Paper 2, Q1 (1 mark): A circle has centre (4, −5) and radius 6 Find the equation of the circle. Tick (3) one box. [1 mark] (x − 4)2 + (y + 5)2 = 6 (x + 4)2 + (y − 5)2 = 6 (x − 4)2 +
- November 2021, Paper 2, Q7 (8 marks): A circle has equation x2 + y2 − 6x − 8y = p 7 (a) (i) State the coordinates of the centre of the circle. [1 mark] 7 (a) (ii) Find the radius of the circle in te
- November 2020, Paper 2, Q6 (8 marks): The line L has equation 5y + 12x = 298 A circle, C, has centre (7, 9) L is a tangent to C. 6 (a) Find the coordinates of the point of intersection of L and C. F
- June 2019, Paper 3, Q5 (5 marks): A circle has equation x2 + y2 − 6x − 8y = 264 AB is a chord of the circle. The angle at the centre of the circle, subtended by AB, is 0.9 radians, as shown in t
- June 2018, Paper 1, Q7 (8 marks): Three points A, B and C have coordinates A (8, 17), B (15, 10) and C (−2, −7) 7 (a) Show that angle ABC is a right angle. [3 marks] 7 (b) A, B and C lie on a ci
- June 2018, Paper 3, Q1 (1 mark): A circle has equation (x − 4)2 + (y + 4)2 = 9 What is the area of the circle? Circle your answer. [1 mark] 3p 9p 16p 81p
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