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HomeAQA GCSE MathematicsGraphs of circles and other implicit curves
AQA · GCSE · Mathematics

Graphs of circles and other implicit curves
Practice Questions

40 AQA GCSE Mathematics questions on Graphs of circles and other implicit curves, 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 Graphs of circles and other implicit curves.

Try 2 sample questions on Graphs of circles and other implicit curves

Question 1 · 1 mark · Difficulty 1/3

What does the equation x² + y² = 36 represent?

  1. A straight line through the origin
  2. A circle centred on the origin with radius 36
  3. A parabola with its vertex at the origin
  4. A circle centred on the origin with radius 6
Show answer & explanation
✓ Answer: DA circle centred on the origin with radius 6
The number on the right is the radius squared, so the radius is its square root.
Question 2 · 1 mark · Difficulty 1/3

What is the radius of the circle x² + y² = 81?

  1. 6561
  2. 81
  3. 40.5
  4. 9
Show answer & explanation
✓ Answer: D9
Square rooting the right-hand side gives the radius. Reading 81 as the radius is the commonest error in this topic.
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AQA GCSE Mathematics: Graphs of circles and other implicit curves FAQ

Is Kramizo free for AQA GCSE 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 Graphs of circles and other implicit curves practice with other Mathematics topics or even switch to a totally different AQA 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 Graphs of circles and other implicit curves questions aligned to the official AQA GCSE Mathematics syllabus?
Every question is written against the published AQA GCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real AQA 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 AQA.
How is Graphs of circles and other implicit curves typically tested on AQA GCSE Mathematics papers?
Graphs of circles and other implicit curves appears across multiple question types on real AQA GCSE 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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