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HomeAQA GCSE MathematicsDirect and inverse proportion
AQA · GCSE · Mathematics

Direct and inverse proportion
Practice Questions

20 AQA GCSE Mathematics questions on Direct and inverse proportion, 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 Direct and inverse proportion.

Try 2 sample questions on Direct and inverse proportion

Question 1 · 1 mark · Difficulty 1/3

If y is directly proportional to x, and y = 12 when x = 4, what is the value of y when x = 7?

  1. A) 19
  2. B) 21
  3. C) 28
  4. D) 84
Show answer & explanation
✓ Answer: BB) 21
The constant of proportionality k = y/x = 12/4 = 3. Therefore y = 3 × 7 = 21. A common error is to add the difference rather than multiply by k.
Question 2 · 1 mark · Difficulty 1/3

y is inversely proportional to x. When x = 5, y = 8. Which equation correctly represents this relationship?

  1. A) y = 8x/5
  2. B) y = 5x/8
  3. C) y = 40/x
  4. D) y = x/40
Show answer & explanation
✓ Answer: CC) y = 40/x
Inverse proportion gives y = k/x where k = xy = 5 × 8 = 40. Therefore y = 40/x. Option A and B confuse direct and inverse proportion, and option D inverts the relationship incorrectly.
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AQA GCSE Mathematics: Direct and inverse proportion FAQ

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