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Cambridge IGCSE Mathematics practice

exam practice - 1 Determine the lengths of similar figures. 2 Apply the relationships between lengths and areas, including the use of scale factors for similar shapes and their corresponding surface areas. 3 Calculate the volumes of similar solids using the relationship between their lengths. 4 Solve problems related to similarity and provide straightforward explanations, including demonstrating that two triangles are similar using geometric reasoning. - Similarity

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2

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3

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Topic

Similarity

Exam-style question

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Paper 2Core or Extended Mathematics3 marks

Similarity of triangles and scale factors

Diagram Description

Two similar triangles ABC and DEF

Triangle ABC is similar to triangle DEF. The length of side AB is 6 cm, and the corresponding side DE is 9 cm. The area of triangle ABC is 24 cm².

Triangle ABCTriangle DEF
AB = 6 cmDE = 9 cm
Area = 24 cm²Area = ?
  1. a

    Calculate the area of triangle DEF.

    Aim for approximately 3 distinct marking points.

    [3]

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Maths method check

  • Topic focus: Similarity.
  • 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: Similarity

Paper 2Core or Extended Mathematics3 marks

Description

Two similar solids

Two similar solids have a length scale factor of 2. The volume of the smaller solid is 50 cm³.

  1. a

    Calculate the volume of the larger solid.

    Aim for approximately 3 distinct marking points.

    [3]