GCSE & iGCSE Quadratics worksheet

Quadratics worksheet for GCSE and iGCSE maths: solving by factorising, quadratic graphs, the formula and completing the square. With full worked solutions.

A complete quadratics 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

Solving quadratic equations by factorising, rearranging first when needed
Plotting quadratic graphs and reading roots, intercepts and turning points
Forming quadratic equations from problems and choosing the valid answer

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

Solving ax² + bx + c = 0
The quadratic formula
Completing the square

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. Choosing the valid root in a context problem is treated as a skill in itself, because discarding the negative length is worth a mark students routinely miss.

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

14-page worksheet (PDF, printable, with 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), Algebra. All questions are original.