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Graphs: Graphical solution of simultaneous equations and inequalities
Practice Questions

20 CXC CSEC Mathematics questions on Graphs: Graphical solution of simultaneous equations and inequalities, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Graphs: Graphical solution of simultaneous equations and inequalities

Question 1 · 1 mark · Difficulty 2/3

A hardware store in Kingston, Jamaica, sells nails and screws. Let x represent the number of packets of nails and y represent the number of packets of screws. The inequalities x + y ≤ 50 and x ≥ 2y are represented on a graph. The region that satisfies BOTH inequalities is shaded. Which point lies within the shaded region?

  1. (10, 30)
  2. (20, 10)
  3. (15, 40)
  4. (25, 15)
Show answer & explanation
✓ Answer: B — (20, 10)
Award 1 mark for B. For (20, 10): 20 + 10 = 30 ≤ 50 ✓ and 20 ≥ 2(10) = 20 ✓. A is incorrect because 10 + 30 = 40 ≤ 50 ✓ but 10 ≥ 2(30) = 60 is false. C is incorrect because 15 + 40 = 55 > 50. D is incorrect because 25 + 15 = 40 ≤ 50 ✓ but 25 ≥ 2(15) = 30 is false.
Question 2 · 1 mark · Difficulty 2/3

A telecommunications company in Trinidad offers two mobile phone plans. Plan A costs $x per month and Plan B costs $y per month. A customer's budget constraints are represented by the inequalities x + y ≤ 200 and 2x + y ≥ 150. The graphs of these inequalities are drawn. In which region would the customer find plans that satisfy both constraints?

  1. The region where the shadings overlap.
  2. The region above both lines.
  3. The region below both lines.
  4. The region between the two lines only.
Show answer & explanation
✓ Answer: A — The region where the shadings overlap.
Award 1 mark for A. The solution to a system of inequalities is the region where all shaded regions overlap, satisfying all constraints simultaneously. B, C, and D are incorrect because they describe specific regions that may not satisfy both inequalities.
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CXC CSEC Mathematics: Graphs: Graphical solution of simultaneous equations and inequalities FAQ

How many CXC CSEC Mathematics questions on Graphs: Graphical solution of simultaneous equations and inequalities are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Graphs: Graphical solution of simultaneous equations and inequalities 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 Graphs: Graphical solution of simultaneous equations and inequalities 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 Graphs: Graphical solution of simultaneous equations and inequalities 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 Graphs: Graphical solution of simultaneous equations and inequalities typically tested on CXC CSEC Mathematics papers?
Graphs: Graphical solution of simultaneous equations and inequalities 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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