GCSE & iGCSE Factorising worksheet

Factorising worksheet for GCSE and iGCSE maths: common factors, factorise fully, quadratics and the difference of two squares. With full worked solutions.

A complete factorising 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

Taking out common factors, including “factorise fully”
Factorising x² + bx + c
Factorising the difference of two squares
Using factorising in area and number problems

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

Factorising ax² + bx + c
Factorising in two stages
Hidden quadratics

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. “Factorise fully” is drilled as its own instruction, since partial factorisation is the standard way students drop the mark on an otherwise correct answer.

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

12-page worksheet (PDF, printable, with answer spaces)
6-page full worked solutions (PDF) — complete method for every question, not just final answers
No calculator

Specification

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