IAL Pure 2 Coordinate Geometry exam questions

Exam-style circle questions for Edexcel IAL Pure 2 (WMA12): equation of a circle, tangents, perpendicular bisectors and intersections, with full worked solutions.

This resource covers the whole of Chapter 2 (Coordinate Geometry in the (x, y) Plane) of the Pearson Edexcel International A Level Pure Mathematics 2 course — in practice, the circles chapter. All questions are original and written in the style of the WMA12 paper.

What’s covered

Midpoints and perpendicular bisectors
The equation of a circle in centre-radius form
Completing the square to find the centre and radius
Intersections of a straight line and a circle
Tangents and normals to a circle, using the perpendicular radius property
Circles and triangles, including the circumcircle and the angle in a semicircle

How to use it

Suitable as homework, as practice across several lessons, or as revision. The later questions have genuinely linked parts, which is how circles are examined on WMA12 — a centre found in part (a) is needed for the tangent in part (b), so a slip early costs marks throughout.

What’s included

Question paper (PDF, printable, with diagrams)
Full worked solutions (PDF) — complete method, not just final answers
Questions arranged in increasing difficulty

Specification

Written for Edexcel International A Level Mathematics, Pure Mathematics 2 (WMA12), Chapter 2. Also suitable for Edexcel A Level Mathematics 9MA0 and for any A Level course covering the equation of a circle.