A Level Maths

A Level Maths Trigonometry Exam Questions

Free A Level Maths exam questions on Trigonometry, with full model answers. Covers sine/cosine rule, graphs (degrees), identities (tan = sin/cos, sin^2+cos^2=1), equations (degrees).

Trigonometry exam questions

1 question pack of real past exam questions with its mark scheme. Answer every question without notes, then mark your answers line by line against the mark scheme.

About A Level Maths Trigonometry

Trigonometry is part of Pure Maths in A Level Maths. These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International, CCEA and OxfordAQA International A Level Maths students. Answer the pack without notes, then mark every line against the model answers and redo the questions you dropped marks on.

What you need to know

  • Identities tan θ = sin θ/cos θ and sin²θ + cos²θ = 1.
  • Equations Find all solutions in a given interval.
  • Radians Arc length rθ, sector area ½r²θ and small angle approximations.

Common mistakes in Trigonometry

  • Missing solutions in a range.
  • Dividing by sin θ and losing roots.

Try two Trigonometry exam-style questions

1. Solve 2 sin θ = 1 for 0 ≤ θ < 360°. (2 marks)

Show the mark scheme answer

30°, 150°

2. Find the sector area with r = 4 and θ = 0.5 rad. (1 mark)

Show the mark scheme answer

4

Trigonometry FAQs

Which exam boards include Trigonometry?

These questions suit AQA, Edexcel, OCR A, OCR B (MEI), WJEC, Cambridge International, Edexcel International, OxfordAQA International, CCEA and OxfordAQA International A Level Maths.

Is Trigonometry pure, mechanics or statistics?

Trigonometry is part of Pure Maths.

How should I use these Trigonometry questions?

Answer every question without notes, then check each line against the model answers and redo any you got wrong.