GCSE Maths

GCSE Maths 3D Pythagoras and Trigonometry Exam Questions

Free GCSE Maths exam questions on 3D Pythagoras and Trigonometry, with full model answers. Covers lengths and angles in 3D shapes.

3D Pythagoras and 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 GCSE Maths 3D Pythagoras and Trigonometry

3D Pythagoras and Trigonometry is a Grade 7+ GCSE Maths topic, so it mostly comes up on Higher tier papers. These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE. Work through the pack without notes, then mark every answer against the model answers and redo any you got wrong a few days later.

What you need to know

  • Diagonals √(a² + b² + c²) in a cuboid.
  • Angles Find the angle between a line and a plane.
  • Triangles Draw the right-angled triangle.

Common mistakes in 3D Pythagoras and Trigonometry

  • Using the wrong triangle.
  • Missing a step.

Try two 3D Pythagoras and Trigonometry exam-style questions

1. Find the diagonal of a 3 x 4 x 12 cuboid. (2 marks)

Show the mark scheme answer

13

2. What is the first step in 3D questions? (1 mark)

Show the mark scheme answer

Identify a right-angled triangle

3D Pythagoras and Trigonometry FAQs

Which exam boards include 3D Pythagoras and Trigonometry?

These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.

What grade is 3D Pythagoras and Trigonometry in GCSE Maths?

It is a Grade 7+ topic, so it mostly appears on Higher tier papers.

How should I use these 3D Pythagoras and Trigonometry questions?

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