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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Marks

Topic

Similarity

Exam-style question

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Paper 2Core or Extended Mathematics3 marks

Similarity of solids and volume scale factors

Description

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

a
Calculate the volume of the larger solid.
Your answer
Aim for approximately 3 distinct marking points.
[3]

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Topic focus: Similarity.
Question style: structured_mathematics.
Reasoning demand: reasoning.
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Paper 2Core or Extended Mathematics3 marks

Diagram Description

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 ABC	Triangle DEF
AB = 6 cm	DE = 9 cm
Area = 24 cm²	Area = ?

a
Calculate the area of triangle DEF.
Your answer
Aim for approximately 3 distinct marking points.
[3]