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

Ratio, Proportion and Rates of Change

94 words · Last updated July 2026

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What you'll learn

Comparing quantities and working with rates.

Key skills

  • Simplifying and dividing in a ratio.
  • Direct and inverse proportion.
  • Compound measures: speed = distance ÷ time, density = mass ÷ volume.
  • Percentage change, simple and compound interest.
  • Currency, best-buy and unit-cost problems.

Exam tips

  • Find the value of 'one part' first in ratio problems.
  • Use multipliers (e.g. × 1.05) for repeated percentage change.

Common mistakes

  • Mixing up direct and inverse proportion.
  • Forgetting to convert units (e.g. minutes to hours).
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