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Learning objective

Perform calculations and solve problems related to the perimeters and areas of both compound shapes and sections of shapes, with answers potentially expressed in terms of π. Additionally, perform calculations and solve problems concerning the surface areas and volumes of both compound solids and sections of solids, such as determining the volume of half a sphere.

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 Mensuration

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Quick explanation

Perform calculations and solve problems related to the perimeters and areas of both compound shapes and sections of shapes, with answers potentially expressed in terms of π. Additionally, perform calculations and solve problems concerning the surface areas and volumes of both compound solids and sections of solids, such as determining the volume of half a sphere

  • This point belongs to Compound shapes and parts of shapes, especially Compound shapes and parts of shapes outcomes.
  • You need to be able to perform calculations and solve problems related to the perimeters and areas of both compound shapes and sections of shapes, with answers potentially expressed in terms of π. Additionally, perform calculations and solve problems concerning the surface areas and volumes of both compound solids and sections of solids, such as determining the volume of half a sphere.
  • The key ideas to know are Calculate, Determine, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineShowWork out

Why it matters

This objective helps connect Compound shapes and parts of shapes outcomes to exam-style questions, flashcards, and revision notes for Compound shapes and parts of shapes.

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Practice Questions7 linked questions

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Paper 2 structured question: Compound shapes and parts of shapes

Paper 2Core or Extended Mathematics3 marks

Description

Compound Shape Area Calculation

A rectangle measuring 4 cm by 6 cm is attached to a semicircle with a diameter of 4 cm. Calculate the total area of the compound shape.

  1. a

    Calculate the total area of the compound shape.

    Aim for approximately 3 distinct marking points.

    [3]
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