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HomeCIE IGCSE MathematicsCoordinate Geometry: Equation of a circle centred at the origin
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Coordinate Geometry: Equation of a circle centred at the origin
Practice Questions

40 CIE IGCSE Mathematics questions on Coordinate Geometry: Equation of a circle centred at the origin, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Coordinate Geometry: Equation of a circle centred at the origin.

Try 2 sample questions on Coordinate Geometry: Equation of a circle centred at the origin

Question 1 · 1 mark · Difficulty 1/3

A circular radar detection zone is centred at the origin O. The equation of the boundary is x² + y² = 144. What is the radius of the detection zone?

  1. 12 units
  2. 72 units
  3. 144 units
  4. 24 units
Show answer & explanation
✓ Answer: A12 units
Award 1 mark for recognising r² = 144, so r = √144 = 12. B is incorrect — 72 is half of 144, not √144. C is incorrect — 144 is r², not r. D is incorrect — 24 is 2r, confusing diameter with radius.
Question 2 · 1 mark · Difficulty 1/3

What is the equation of a circle with centre at the origin and radius 5?

  1. x² + y² = 5
  2. x² + y² = 25
  3. x² + y² = 10
  4. x + y = 5
Show answer & explanation
✓ Answer: Bx² + y² = 25
Award 1 mark for correct application of x² + y² = r² with r = 5. A is incorrect — this confuses r with r². C is incorrect — 10 is 2r, not r². D is incorrect — this is a linear equation, not a circle.
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CIE IGCSE Mathematics: Coordinate Geometry: Equation of a circle centred at the origin FAQ

How many CIE IGCSE Mathematics questions on Coordinate Geometry: Equation of a circle centred at the origin are there on Kramizo?
Kramizo currently has 40 exam-board-aligned practice questions on Coordinate Geometry: Equation of a circle centred at the origin for CIE IGCSE Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CIE paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CIE IGCSE students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Coordinate Geometry: Equation of a circle centred at the origin practice with other Mathematics topics or even switch to a totally different CIE subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Coordinate Geometry: Equation of a circle centred at the origin questions aligned to the official CIE IGCSE Mathematics syllabus?
Every question is written against the published CIE IGCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CIE paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CIE.
How is Coordinate Geometry: Equation of a circle centred at the origin typically tested on CIE IGCSE Mathematics papers?
Coordinate Geometry: Equation of a circle centred at the origin appears across multiple question types on real CIE IGCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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