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Learning objective

Understand and apply the concepts of ratio and proportion to: simplify ratios, such as converting 20 : 30 : 40 to its simplest form of 2 : 3 : 4; divide a quantity according to a specified ratio; and utilize proportional reasoning in various contexts, including modifying recipes, interpreting map scales, and identifying the best value in a situation.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsCore Number

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Quick explanation

Understand and apply the concepts of ratio and proportion to: simplify ratios, such as converting 20 : 30 : 40 to its simplest form of 2 : 3 : 4; divide a quantity according to a specified ratio; and utilize proportional reasoning in various contexts, including modifying recipes, interpreting map scales, and identifying the best value in a situation

  • This point belongs to Ratio and proportion, especially Ratio and proportion outcomes.
  • You need to be able to understand and apply the concepts of ratio and proportion to: simplify ratios, such as converting 20 : 30 : 40 to its simplest form of 2 : 3 : 4; divide a quantity according to a specified ratio; and utilize proportional reasoning in various contexts, including modifying recipes, interpreting map scales, and identifying the best value in a situation.
  • The key ideas to know are Give, Determine, and Explain.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

GiveDetermineExplainCalculate

Why it matters

This objective helps connect Ratio and proportion outcomes to exam-style questions, flashcards, and revision notes for Ratio and proportion.

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Paper 2 structured question: Ratio and proportion

Paper 2Core or Extended Mathematics2 marks

Description

Dividing Apples

You have 48 apples that you want to divide between two friends in the ratio 3:5.

  1. a

    Calculate How many apples does each friend receive?

    Aim for approximately 2 distinct marking points.

    [2]
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