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Last updated

18 July 2026

pdf, 199.17 KB
pdf, 199.17 KB

Two worksheets on simplifying expressions with surds and rationalizing the denominator of a fraction. Detailed solutions are provided.

Master simplifying, expanding, and rationalizing surds! This resource includes two comprehensive maths worksheets complete with step-by-step solutions. Ideal for KS4, GCSE Higher Tier revision, and Year 10/11 classes.

Help your students master the rules of surds and radicals with this ready-to-print practice pack! Designed to build confidence and fluency, this resource provides targeted practice to ensure students can confidently manipulate radical expressions in their exams.

What is Included
• Worksheet 1: Core skills focus (simplifying, basic operations, and introduction to rationalizing).
• Worksheet 2: Advanced skills focus (bracket expansion and solving complex surd equations).
• Full Answer Keys: Complete, handwritten-style step-by-step solutions for easy marking or student self-assessment.

Topics Covered
• Simplifying square roots (writing in the form a√b)
• Multiplying, dividing, and evaluating surds
• Expanding single and double brackets with radicals
• Rationalizing the denominator fully
• Solving for missing unknown integers in algebraic surd equations

Perfect For
• Key Stage 4 / GCSE Higher Tier Revision (Edexcel, AQA, OCR)
• Year 10 and Year 11 Exam Preparation
• Homework assignments, cover work, or independent study booklets

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