A Level Maths
A Level Maths Coordinate Geometry Exam Questions
Free A Level Maths exam questions on Coordinate Geometry, with full model answers. Covers straight lines, parallel/perpendicular, circles, tangents/normals to circles.
Coordinate Geometry exam questions
1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.
About A Level Maths Coordinate Geometry
Coordinate Geometry is part of Pure Maths in A Level Maths. These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.
What you need to know
- Straight lines y − y₁ = m(x − x₁) and gradient conditions.
- Circles (x − a)² + (y − b)² = r².
- Tangents Perpendicular to the radius at the point of contact.
Common mistakes in Coordinate Geometry
- Completing the square wrongly for circles.
- Using the radius gradient for a tangent.
Try two Coordinate Geometry exam-style questions
1. Find the centre and radius of x² + y² − 6x + 4y − 12 = 0. (3 marks)
Show the mark scheme answer
Centre (3, −2), radius 5
2. Find the gradient perpendicular to y = 2x − 1. (1 mark)
Show the mark scheme answer
−½
Coordinate Geometry FAQs
Which exam boards include Coordinate Geometry?
These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International and CCEA A Level Maths.
Is Coordinate Geometry pure, mechanics or statistics?
Coordinate Geometry is part of Pure Maths.
How should I use these Coordinate Geometry questions?
Answer every question without notes, then check each line against the model answers and redo any you got wrong.
