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Learning objective

Understand and express both direct and inverse proportion using algebraic forms, including linear, square, square root, cube, and cube terms, to determine unknown quantities. Familiarity with the proportional symbol (∝) is necessary.

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

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  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsExtended Algebra and graphsSupplement content

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Quick explanation

Understand and express both direct and inverse proportion using algebraic forms, including linear, square, square root, cube, and cube terms, to determine unknown quantities. Familiarity with the proportional symbol (∝) is necessary

  • This point belongs to Proportion, especially Proportion outcomes.
  • You need to be able to understand and express both direct and inverse proportion using algebraic forms, including linear, square, square root, cube, and cube terms, to determine unknown quantities. Familiarity with the proportional symbol (∝) is necessary.
  • The key ideas to know are Calculate, 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

CalculateDetermineExplainState

Why it matters

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

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Practice Questions7 linked questions

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Paper 2 structured question: Proportion

Paper 2Core or Extended Mathematics3 marks

Description

Direct Proportion Example

A quantity y is directly proportional to the square of x. When x = 4, y = 32.

  1. a

    Calculate the constant of proportionality k in the equation y = kx^2.

    Aim for approximately 3 distinct marking points.

    [3]
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