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HomeOCR GCSE MathematicsRatio, Proportion and Rates of Change
OCR · GCSE · Mathematics

Ratio, Proportion and Rates of Change
Practice Questions

38 OCR GCSE Mathematics questions on Ratio, Proportion and Rates of Change, 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 Ratio, Proportion and Rates of Change.

Try 2 sample questions on Ratio, Proportion and Rates of Change

Question 1 · 1 mark · Difficulty 1/3

Share £150 in the ratio 2:3

  1. £60 and £90
  2. £50 and £100
  3. £75 and £75
  4. £30 and £120
Show answer & explanation
✓ Answer: A£60 and £90
Total parts = 5. Each part = 150÷5 = £30. So 2×30 = £60, 3×30 = £90.
Question 2 · 1 mark · Difficulty 1/3

A train travels 240 km in 3 hours. What is its average speed?

  1. 60 km/h
  2. 120 km/h
  3. 80 km/h
  4. 720 km/h
Show answer & explanation
✓ Answer: C80 km/h
240 ÷ 3 = 80 km/h.
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OCR GCSE Mathematics: Ratio, Proportion and Rates of Change FAQ

Is Kramizo free for OCR 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 Ratio, Proportion and Rates of Change practice with other Mathematics topics or even switch to a totally different OCR 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 Ratio, Proportion and Rates of Change questions aligned to the official OCR GCSE Mathematics syllabus?
Every question is written against the published OCR 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 OCR 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 OCR.
How is Ratio, Proportion and Rates of Change typically tested on OCR GCSE Mathematics papers?
Ratio, Proportion and Rates of Change appears across multiple question types on real OCR 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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