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HomeCIE IGCSE MathematicsAlgebra and Graphs: Direct and inverse proportion — algebraic and graphical
CIE · IGCSE · Mathematics

Algebra and Graphs: Direct and inverse proportion — algebraic and graphical
Practice Questions

20 CIE IGCSE Mathematics questions on Algebra and Graphs: Direct and inverse proportion — algebraic and graphical, 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 Algebra and Graphs: Direct and inverse proportion — algebraic and graphical.

Try 2 sample questions on Algebra and Graphs: Direct and inverse proportion — algebraic and graphical

Question 1 · 1 mark · Difficulty 1/3

y is directly proportional to x. When x = 4, y = 20. What is the value of y when x = 7?

  1. 28
  2. 35
  3. 5
  4. 140
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✓ Answer: B35
Award 1 mark for correct answer. Since y ∝ x, then y = kx. When x = 4, y = 20, so k = 5. Therefore y = 5x, and when x = 7, y = 35. A is incorrect because it uses k = 7 instead of k = 5. C confuses direct proportion with inverse proportion. D is incorrect because it multiplies 20 by 7 instead of finding the constant first.
Question 2 · 1 mark · Difficulty 2/3

The graph shows the relationship between two variables x and y. Which statement describes the relationship shown? [Graph shows a rectangular hyperbola in the first quadrant, with y decreasing as x increases]

  1. y is directly proportional to x
  2. y is inversely proportional to x
  3. y is directly proportional to x²
  4. y is inversely proportional to x²
Show answer & explanation
✓ Answer: By is inversely proportional to x
Award 1 mark for correct answer. A rectangular hyperbola indicates inverse proportion (y = k/x). A is incorrect because direct proportion gives a straight line through the origin. C and D are incorrect because these would give different curve shapes (parabola for C, steeper hyperbola for D).
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CIE IGCSE Mathematics: Algebra and Graphs: Direct and inverse proportion — algebraic and graphical FAQ

How many CIE IGCSE Mathematics questions on Algebra and Graphs: Direct and inverse proportion — algebraic and graphical are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Algebra and Graphs: Direct and inverse proportion — algebraic and graphical 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 Algebra and Graphs: Direct and inverse proportion — algebraic and graphical 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 Algebra and Graphs: Direct and inverse proportion — algebraic and graphical 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 Algebra and Graphs: Direct and inverse proportion — algebraic and graphical typically tested on CIE IGCSE Mathematics papers?
Algebra and Graphs: Direct and inverse proportion — algebraic and graphical 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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