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Last updated

26 July 2026

A worksheet on simplifying expressions with surds. Solutions are included. Appropriate for GCSE/IGCSE students.

A comprehensive, no-prep 20-question surds practice worksheet tailored specifically for GCSE Maths Higher Tier and Key Stage 4 students. This resource features full, step-by-step worked solutions for every problem, making it perfect for independent classwork, homework, or math cover lessons.

Save time with this ready-to-print, rigorous surds practice worksheet!
This clean, well-formatted 20-question PDF resource is designed to build complete confidence and fluency with advanced surd operations. It targets the higher-tier skills frequently tested in secondary school examinations like Edexcel, AQA, and OCR GCSE Maths.

What’s Included?
• 20 varied practice questions ranging from foundational simplification to complex algebraic equations.
• A complete, step-by-step worked solutions booklet allowing students to easily self-assess or teachers to mark work rapidly.
• No-prep formatting—simply download, print, and hand out to your class.

Key Skills Targeted:
• Simplifying Surds: Reducing numbers under the square root to simple surd form.
• Adding and Subtracting Surds: Collecting like surd terms.
• Expanding Brackets: Multiplying out double binomial brackets involving surds.
• Rationalising the Denominator: Eliminating surds from the bottom of simple and fractional expressions.
• Solving for Missing Variables: Finding integer values for unknown variables within a surd equation.

Excellent For:
• Core lesson practice during Key Stage 4 algebra and number units.
• Targeted revision sessions ahead of GCSE Higher Tier Maths exams.
• Independent study packs, homework tasks, or structured extension activities.
• High-quality, reliable resource material for mathematics cover teachers.

Curriculum Mapping:
• UK National Curriculum / GCSE Maths (9-1): Fits perfectly under the Higher Tier Number (N8) and Algebra (A4) curriculum specifications.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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