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Cambridge IGCSE Mathematics practice

exam practice - Understand and apply the sine, cosine, and tangent ratios for acute angles in right-angled triangles, with angles provided in degrees and answers rounded to one decimal place. Solve two-dimensional problems using Pythagoras' theorem and trigonometric principles, which may involve knowledge of bearings. - Right-angled triangles

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2

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2

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Topic

Right-angled triangles

Exam-style question

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Paper 2Core or Extended Mathematics2 marks

Trigonometric ratios in a right triangle

Description

Triangle DEF

In triangle DEF, angle E is 30°. The length of side DE is 10 cm. Calculate the length of side DF using the sine ratio.

  1. a

    Calculate the length of side DF.

    Aim for approximately 2 distinct marking points.

    [2]

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Maths method check

  • Topic focus: Right-angled triangles.
  • 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: Right-angled triangles

Paper 2Core or Extended Mathematics2 marks

Description

Triangle ABC

In triangle ABC, angle C is the right angle. The length of side AC is 5 cm, and the length of side BC is 12 cm. Calculate the length of side AB.

  1. a

    Calculate the length of side AB.

    Aim for approximately 2 distinct marking points.

    [2]