GCSE Maths
GCSE Maths Pythagoras Exam Questions
Free GCSE Maths exam questions on Pythagoras, with full model answers. Covers using Pythagoras' theorem to find sides in right-angled triangles.
Pythagoras 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 Pythagoras
Pythagoras is a Grade 4+ GCSE Maths topic, so it mostly comes up on Foundation and 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
- Theorem a² + b² = c², c is the hypotenuse.
- Shorter side Subtract.
- Coordinates Distance between points.
Common mistakes in Pythagoras
- Adding when finding a shorter side.
- Identifying the wrong hypotenuse.
Try two Pythagoras exam-style questions
1. Find the hypotenuse if the sides are 6 and 8. (1 mark)
Show the mark scheme answer
10
2. Find the missing side if the hypotenuse is 13 and one side is 5. (1 mark)
Show the mark scheme answer
12
Pythagoras FAQs
Which exam boards include Pythagoras?
These questions suit every major board: AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge IGCSE, Edexcel IGCSE and OxfordAQA IGCSE.
What grade is Pythagoras in GCSE Maths?
It is a Grade 4+ topic, so it mostly appears on Foundation and Higher tier papers.
How should I use these Pythagoras questions?
Answer every question without notes, then check each answer against the model answers and redo the ones you got wrong.
