plumiCircles: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 3.2 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 6 questions on Circles, as a list
- Summer 2025, AS Unit 1, Q8 (10 marks): 2 2 4 4 x y x y . 8. A circle C has centre A and equation (a) Find the coordinates of A and the radius of C. [3] y 2 x , intersects the circle C at
- Summer 2024, AS Unit 1, Q18 (12 marks): A circle C has centre (–3, –1) and radius 5. Show that the equation of C can be written 18. (a) 2 2 6 2 5 0 x y x y as . [2] (b) (i) Find the equation
- Summer 2023, AS Unit 1, Q3 (15 marks): 3 The point A has coordinates (–2, 5) and the point B has coordinates (3, 8). The point C lies on the x-axis such that AC is perpendicular to AB. a) Find the eq
- Summer 2022, AS Unit 1, Q7 (11 marks): 7 A circle C has centre A and equation x2 + y2 – 4x – 6y = 3. a) Find the coordinates of A and the radius of C. [3] The line L with equation y = x + 5 intersect
- Summer 2019, AS Unit 1, Q9 (12 marks): 9 The points A(–2, 4) and B(6, 10) are such that AB is the diameter of a circle. a) Show that the centre of the circle has coordinates (2, 7). [1] The equation
- Summer 2018, AS Unit 1, Q18 (8 marks): 8 The coordinates of three points A, B, C are (4, 6), (–3, 5) and (5, –1) respectively. $ a) Show that BAC is a right angle. [3] b) A circle passes through all
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