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Cambridge IGCSE Mathematics practice

exam practice - 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. - Proportion

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Topic

Proportion

Exam-style question

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Paper 2Core or Extended Mathematics3 marks

Direct Proportion with Powers

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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Maths method check

  • Topic focus: Proportion.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Proportion

Paper 2Core or Extended Mathematics4 marks

Description

Inverse Proportion Example

A quantity y is inversely proportional to the cube root of x. When x = 8, y = 6.

  1. a

    Determine the value of y when x = 27.

    Aim for approximately 4 distinct marking points.

    [4]