Pythagoras & Trigonometry GCSE Guide

A beautifully designed Geometry mini textbook chapter covering Pythagoras’ Theorem and Trigonometry for UK secondary maths learners.

This resource is a polished, classroom-ready chapter designed to help students understand and apply Pythagoras’ Theorem and right-angled trigonometry with confidence.

It is suitable for KS3, GCSE Foundation, GCSE Higher support, Year 8, Year 9, Year 10 and revision students who need clear explanations, worked examples, structured practice and exam-style questions.

The chapter includes:

clear explanations of Pythagoras’ Theorem
finding the hypotenuse
finding a shorter side
checking whether a triangle is right-angled
Pythagoras in real-life word problems
3D Pythagoras extension questions
introduction to trigonometry
SOH CAH TOA explained clearly
finding missing lengths using sine, cosine and tangent
finding missing angles
bearings-style trigonometry questions
GCSE-style mixed practice
common mistakes and correction tips
challenge questions
final review section
full answer key included

This resource has been written in a mini textbook style, making it suitable for independent study, private tutoring, classroom teaching, intervention lessons, homework support and exam revision.

Teachers and tutors can use it as:

a full lesson resource
a revision booklet
a homework booklet
an intervention pack
a printable classroom handout
a tutoring resource for one-to-one or small-group lessons

The layout is clean, structured and student-friendly, with step-by-step explanations that support learners who struggle with geometry while still providing enough challenge for more confident students.

This resource is ideal for helping students move from basic understanding to confident problem-solving in Pythagoras and Trigonometry.