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Cambridge IGCSE Mathematics practice

exam practice - 1. Use a ruler to measure and draw straight lines and angles. Note that constructing perpendicular bisectors and angle bisectors is not necessary. 2. Create a triangle when given the lengths of all sides, using only a ruler and compass. Ensure that construction arcs are included. 3. Draw, utilize, and interpret nets, such as those for cubes, cuboids, prisms, and pyramids, and apply measurements from these nets to find volumes and surface areas. - Geometrical constructions

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At a glance

2

Paper

5

Marks

Topic

Geometrical constructions

Exam-style question

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Paper 2Core or Extended Mathematics5 marks

Calculating Volume and Surface Area

Description

Volume and Surface Area of a Cuboid

A cuboid has dimensions of length 4 cm, width 3 cm, and height 5 cm. Calculate its volume and surface area.

  1. a

    Calculate the volume of the cuboid.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Calculate the surface area of the cuboid.

    Aim for approximately 3 distinct marking points.

    [3]

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Maths method check

  • Topic focus: Geometrical constructions.
  • 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: Geometrical constructions

Paper 2Core or Extended Mathematics3 marks

Description

Constructing a Triangle

You are given the lengths of the sides of a triangle: 5 cm, 6 cm, and 7 cm. Use a ruler and compass to construct the triangle accurately.

  1. a

    Construct the triangle with the given side lengths.

    Aim for approximately 3 distinct marking points.

    [3]