Factorising Expressions Worksheet – 3 Levels

Give your students focused, varied practice in factorising expressions with this complete, ready-to-print resource. The 40 questions are split into three clear levels, so every learner can start where they are and move on when they are ready.

What’s included (10 pages, A4 PDF)

Professional cover page
Teacher notes with levels at a glance, timings and teaching tips
Key Ideas page for students: taking out a common factor, special patterns and worked examples
Level 1 – Easy (12 questions): taking out a common numerical or algebraic factor, single brackets
Level 2 – Medium (12 questions): negative common factors, three-term brackets, difference of two squares, quadratics of the form x² + bx + c
Level 3 – Challenge (16 questions): factorising fully, ax² + bx + c, perfect squares, factorising by grouping, x⁴ − 16 and an area problem, with larger working boxes
Full answer key with worked steps for all 40 questions, a scoring guide and a list of common mistakes

Why teachers like it

Varied question types, not endless repetition of one method
Easy differentiation: students move up when they reach 11/12
Space for working and a “Score” box on every worksheet
Light design that prints well in black and white
No preparation needed: print and teach

Great for: classwork, homework, starters, revision, assessment, cover lessons and intervention.

Curriculum links: England KS3 algebra (taking out common factors) and GCSE (factorising quadratics, including the difference of two squares; ax² + bx + c at Higher tier). US Common Core 6.EE.A.3, A-SSE.A.2 and A-SSE.B.3a.

Details
Subject: Mathematics → Algebra
Age range: 12–16 (KS3 / GCSE, Grades 7–10)
Resource type: Worksheet / Assessment
Format: PDF (A4, print-ready)
Pages: 10