GCSE & iGCSE Pythagoras worksheet

Pythagoras worksheet for GCSE and iGCSE maths: finding the hypotenuse and shorter sides, distance between two points and 3D Pythagoras. With solutions.

A complete pythagoras worksheet for Pearson Edexcel GCSE (1MA1) and International GCSE (4MA1), written so one resource works for both tiers. Every section is clearly labelled Foundation or Higher, and questions get harder as you go.

What’s covered — Foundation

Finding the hypotenuse and a shorter side of a right-angled triangle
Using Pythagoras in real-life problems
Finding the distance between two points
Deciding whether a triangle is right-angled

What’s covered — Higher (grades 6 to 9)

3D Pythagoras
Exact surd answers
Pythagoras with algebra
Pythagoras with circles

How it’s structured

A. Worked examples & Your turn — a model solution beside a matching question to try
B. Fluency — core skills
C. Reasoning — explain it
D. Problem solving — unfamiliar, multi-step questions
E. Exam practice — exam-style questions with mark allocations

123 marks across Sections B to E (61 Foundation, 62 Higher), with a progress tracker on the front page so students can record their score per section. Finding a shorter side is separated from finding the hypotenuse, since subtracting instead of adding is the error that dominates this topic.

How to use it

Works as a full lesson, homework, a cover lesson or targeted intervention. Because each tier is labelled, you can set the Foundation sections to one group and the Higher sections to another from the same print.

What’s included

13-page worksheet (PDF, printable, with diagrams and answer spaces)
6-page full worked solutions (PDF) — complete method for every question, not just final answers
Calculator allowed

Specification

Pearson Edexcel GCSE Mathematics (1MA1) and International GCSE Mathematics (4MA1), Geometry and Measures. All questions are original.