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HomeCIE IGCSE MathematicsLinear inequalities: solving and representing on a number line or graph
CIE · IGCSE · Mathematics

Linear inequalities: solving and representing on a number line or graph
Practice Questions

20 CIE IGCSE Mathematics questions on Linear inequalities: solving and representing on a number line or graph, 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 Linear inequalities: solving and representing on a number line or graph.

Try 2 sample questions on Linear inequalities: solving and representing on a number line or graph

Question 1 · 1 mark · Difficulty 1/3

Solve the inequality 3x + 7 < 22.

  1. x < 5
  2. x > 5
  3. x < 15
  4. x > 15
Show answer & explanation
✓ Answer: Ax < 5
Award 1 mark for correct solution. Subtract 7 from both sides: 3x < 15, then divide by 3: x < 5. B is incorrect because the inequality sign should not reverse when dividing by positive 3. C is incorrect — student forgot to divide by 3. D combines both errors.
Question 2 · 1 mark · Difficulty 2/3

A farmer in Brazil needs to fence a rectangular field. The perimeter must be less than 240 metres and the length is fixed at 70 metres. Which inequality represents the possible widths, w, in metres?

  1. w < 50
  2. w < 100
  3. w > 50
  4. w > 100
Show answer & explanation
✓ Answer: Aw < 50
Award 1 mark for correct inequality. Perimeter = 2(70 + w) < 240, so 140 + 2w < 240, giving 2w < 100, therefore w < 50. B is incorrect — student forgot to divide by 2. C and D have the inequality sign reversed.
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CIE IGCSE Mathematics: Linear inequalities: solving and representing on a number line or graph FAQ

How many CIE IGCSE Mathematics questions on Linear inequalities: solving and representing on a number line or graph are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Linear inequalities: solving and representing on a number line or graph 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 Linear inequalities: solving and representing on a number line or graph 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 Linear inequalities: solving and representing on a number line or graph 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 Linear inequalities: solving and representing on a number line or graph typically tested on CIE IGCSE Mathematics papers?
Linear inequalities: solving and representing on a number line or graph 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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