GCSE & iGCSE Simultaneous Equations worksheet

Simultaneous equations worksheet for GCSE and iGCSE maths: elimination, substitution, graphical solutions and linear with quadratic. With full solutions.

A complete simultaneous equations 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 simultaneous equations by elimination and by substitution
Solving them from a graph
Forming simultaneous equations from a situation and solving them

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

One linear and one quadratic equation
A line and a circle

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

127 marks across Sections B to E (64 Foundation, 63 Higher), with a progress tracker on the front page so students can record their score per section. The Higher section goes as far as a line and a circle, which is the hardest form this topic takes at GCSE and a genuine grade 8 to 9 discriminator.

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 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.