A worksheet on adding, subtracting, multiplying and dividing monomials. Five pages of exercises are included and their solutions follow.

Help your students master the core rules of algebra with this comprehensive, ready-to-print Operations with Monomials Worksheet packet!

Once students understand what a monomial is, they must learn how to manipulate them. This resource features a carefully scaffolded progression that challenges students to apply the laws of indices and operations rules across 6 distinct sections—moving from simple matching to advanced order of operations and algebraic logic puzzles.

What’s Included in This Resource?

• Section 1: Column Matching Warm-up – A low-stakes matching table that tests conceptual understanding of adding like terms versus multiplying indices.
• Section 2: Finding Sums & Differences – Exercises targeting addition and subtraction, including negative coefficients, fractional terms, and distributive signs (e.g. subtracting a negative monomial).
• Section 3: Multiplying Monomials – Advanced practice utilizing the product law and powers of a monomial with multiple variables.
• Section 4: Dividing Monomials – Division challenges involving quotients, negative coefficients, and algebraic fractions.
• Section 5: Order of Operations with Monomials – High-level calculation strings that require students to apply BIDMAS/BODMAS rules to algebraic terms (combining division/multiplication with addition).
• Section 6: Fill-in-the-Blank Missing Terms – Algebraic logic puzzles where students must work backward to discover the missing monomial coefficient or variable index inside a blank box.

Key Skills Covered

• Combining like terms (Addition and Subtraction)
• Multiplication Law of Indices
• Division Law of Indices
• Order of Operations (BIDMAS/BODMAS with variables)
• Deductive algebraic reasoning and working backwards

Why Teachers Love This Resource

• Ready to Print: Just download the student pages and you are ready to teach!
• Scaffolded Rigor: Problems systematically increase in difficulty, pushing students past basic computations into multi-step problems.
• Unique Challenge Section: The fill-in-the-blank boxes prevent rote memorisation and truly test student mastery.
• Full Solutions: Features step-by-step, handwritten-style answer keys to make marking quick or to allow for effortless student self-assessment.

Perfect For:

• Key Stage 3 (KS3) and Key Stage 4 (KS4) Maths Classrooms
• GCSE Higher and Foundation Tier Algebra Revision
• Independent Homework, Revision Tasks, or Extension Work
• Cover Work and Lesson Finishers

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