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GCSE Maths Worksheet: Common Identities and Manipulations - Higher Tier

GCSE Maths Worksheet: Common Identities and Manipulations - Higher Tier

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

29 April 2026

pdf, 130.38 KB
pdf, 130.38 KB

Tired of planning? This resource is included in a bundle. Save money and get instant access to any of these bundles below:

Algebraic Proof Bundle
Inequalities, Sequences, Forming and Solving Equations, Substitution, Algebraic Proof & Functions Bundle
Algebra Bundle
Complete Higher Bundle

⸻

Description:
A high-quality GCSE Maths worksheet focusing on exam style questions for common identities and manipulations, designed for the Higher tier.

What’s included:
Each worksheet contains:
• 9 graded questions arranged by difficulty
• A separate hints page for support
• Full worked solutions
• Clean layout for class, homework, or tutoring use

⸻

Topics covered:
• Using algebraic identities (e.g. expansion of (𝑎 ± 𝑏)², difference of two squares)
• Simplifying and rearranging expressions
• Recognising patterns and manipulating complex algebra

⸻

Ideal for:
• GCSE students studying the AQA or Edexcel specification
• Targeted revision
• Stretch and challenge tasks
• Cover lessons or independent practice

⸻

File Format:
• PDF (3 pages: Questions, Hints, Solutions)

Get this resource as part of a bundle and save up to 30%

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

Bundle

GCSE Maths: Inequalities, Sequences, Forming and Solving Equations, Substitution, Algebraic Proof & Functions Bundle - Higher Tier

Description: A complete bundle of high-quality GCSE Maths worksheets covering all key inequalities, sequences, forming and solving equations, algebraic proof & functions skills for the Higher Tier, ideal for revision, consolidation, or independent study. ⸻ What’s included: Each worksheet contains: • 9 graded questions arranged by difficulty • A separate hints page for support • Full worked solutions • Clean layout for class, homework, or tutoring use ⸻ Topics covered: • Inequalities - Representing on number lines, Solving linear inequalities, Graphing inequalities • Sequences - Term-to-term rules, nth term of linear sequences, Quadratic sequences • Forming & Solving Equations - Forming and solving equations, Complex equation problems, Perimeter, area, geometry-based problems • Substitution - Numerical substitution, Algebraic substitution (formulas and expressions) • Algebraic Proof - Proof of expressions, Common identities and manipulation • Functions - Function notation, Composite and inverse functions ⸻ Why it’s useful: • Supports mastery through progression • Helps students build confidence with complex fraction problems • Easily printable or usable on-screen • Designed to meet AQA and other major GCSE specs ⸻ • Perfect for teachers, tutors, and students preparing for exams. • Suitable for revision, intervention, or stretch tasks.

£15.80
Bundle

GCSE Maths: Algebraic Proof Bundle - Higher Tier

Description: A complete bundle of high-quality GCSE Maths worksheets covering all key algebraic proof skills for the Higher Tier, ideal for revision, consolidation, or independent study. ⸻ What’s included: Each worksheet contains: • 9 graded questions arranged by difficulty • A separate hints page for support • Full worked solutions • Clean layout for class, homework, or tutoring use ⸻ Topics covered: • Proof of expressions • Common identities and manipulation ⸻ Why it’s useful: • Supports mastery through progression • Helps students build confidence with complex fraction problems • Easily printable or usable on-screen • Designed to meet AQA and other major GCSE specs ⸻ • Perfect for teachers, tutors, and students preparing for exams. • Suitable for revision, intervention, or stretch tasks.

£2.40

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