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CIE · IGCSE · Mathematics

Co-ordinate Geometry
Practice Questions

136 CIE IGCSE Mathematics questions on Co-ordinate Geometry, 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 Co-ordinate Geometry.

Try 2 sample questions on Co-ordinate Geometry

Question 1 · 1 mark · Difficulty 1/3

A line has equation y = 3x − 7. Which of the following is the equation of a line parallel to this line passing through (0, 4)?

  1. y = −(1/3)x + 4
  2. y = 3x + 4
  3. y = 7x + 4
  4. y = 3x − 4
Show answer & explanation
✓ Answer: B — y = 3x + 4
Parallel lines share the same gradient. The gradient of y = 3x − 7 is 3. A line through (0, 4) with gradient 3 has equation y = 3x + 4. Option A uses the perpendicular gradient instead. Option C has the correct gradient but the wrong y-intercept, using the original constant. Option D confuses the y-intercept value of the original line with the gradient.
Question 2 · 1 mark · Difficulty 1/3

The coordinates of two points are A(2, 3) and B(8, 11). What is the length of the line segment AB?

  1. √52
  2. 100
  3. 10
  4. 14
Show answer & explanation
✓ Answer: C — 10
Award 1 mark for correct application of the distance formula: √[(8-2)² + (11-3)²] = √[36 + 64] = √100 = 10. D is incorrect — this is the sum of the differences (6 + 8) without using the formula. A is incorrect — this results from adding the squares incorrectly. B is incorrect — this is the value before taking the square root.
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20 questions · 25 min · free

CIE IGCSE Mathematics: Co-ordinate Geometry FAQ

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 Co-ordinate Geometry 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 Co-ordinate Geometry 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 Co-ordinate Geometry typically tested on CIE IGCSE Mathematics papers?
Co-ordinate Geometry 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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