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Relations, Functions and Graphs: Intersection of graphs and graphical solution of equations
Practice Questions

20 CXC CSEC Mathematics questions on Relations, Functions and Graphs: Intersection of graphs and graphical solution of equations, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Relations, Functions and Graphs: Intersection of graphs and graphical solution of equations

Question 1 · 1 mark · Difficulty 1/3

The graphs of y = x + 2 and y = x² are drawn on the same axes. The x-coordinates of the points of intersection are the solutions to which equation?

  1. x² + x − 2 = 0
  2. x² − x + 2 = 0
  3. x² + x + 2 = 0
  4. x² − x − 2 = 0
Show answer & explanation
✓ Answer: D — x² − x − 2 = 0
Setting the two expressions equal: x² = x + 2, which rearranges to x² − x − 2 = 0. Option B incorrectly adds rather than subtracts x and 2. Option C subtracts x but adds 2 instead of subtracting. Option D adds x instead of subtracting it.
Question 2 · 1 mark · Difficulty 1/3

The graphs of y = 2x and y = x + 3 intersect at one point. What are the coordinates of that point?

  1. (2, 5)
  2. (3, 6)
  3. (3, 5)
  4. (1, 4)
Show answer & explanation
✓ Answer: B — (3, 6)
Setting 2x = x + 3 gives x = 3, then y = 2(3) = 6, so the point is (3, 6). Option A uses x = 2, which does not satisfy the equation. Option C uses x = 1, giving y = 2 from the first equation but y = 4 from the second — not equal. Option D finds x = 3 correctly but substitutes into x + 3 incorrectly as 3 + 2 = 5.
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CXC CSEC Mathematics: Relations, Functions and Graphs: Intersection of graphs and graphical solution of equations FAQ

How many CXC CSEC Mathematics questions on Relations, Functions and Graphs: Intersection of graphs and graphical solution of equations are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Relations, Functions and Graphs: Intersection of graphs and graphical solution of equations for CXC CSEC 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 CXC 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 CXC CSEC 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 Relations, Functions and Graphs: Intersection of graphs and graphical solution of equations practice with other Mathematics topics or even switch to a totally different CXC 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 Relations, Functions and Graphs: Intersection of graphs and graphical solution of equations questions aligned to the official CXC CSEC Mathematics syllabus?
Every question is written against the published CXC CSEC Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CXC 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 CXC.
How is Relations, Functions and Graphs: Intersection of graphs and graphical solution of equations typically tested on CXC CSEC Mathematics papers?
Relations, Functions and Graphs: Intersection of graphs and graphical solution of equations appears across multiple question types on real CXC CSEC 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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