GCSE & iGCSE Linear Equations worksheet

Linear equations worksheet for GCSE and iGCSE maths: unknowns on both sides, brackets, fractions and forming equations from problems. With full solutions.

A complete linear 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 equations with the unknown on both sides and with brackets
Solving equations involving fractions
Forming equations from angles, perimeters and prices, then solving them

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

Equations with two fractions
The unknown in a denominator
Equations that become linear
Equations with no solution

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

125 marks across Sections B to E (64 Foundation, 61 Higher), with a progress tracker on the front page so students can record their score per section. Forming the equation is given as much weight as solving it, which is where the marks sit on the applied questions in both specs.

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.