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25 July 2026

A worksheet on factoring binomials by taking out the greatest common monomial factor. Worked solutions are provided.

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20 GCSE/IGCSE Algebra worksheets (with solutions)

Help your secondary students master the most challenging aspects of algebraic manipulation with this extensive, high-quality worksheet pack. Designed to build procedural fluency and conceptual confidence, this resource flows logically from foundational skills to advanced GCSE Higher tier topics.It is an ideal resource for **Key Stage 3 (Extension), Key Stage 4 (GCSE Foundation/Higher, IGCSE), and AS-Level bridging work.** **What’s Included?** This comprehensive PDF pack includes structured question sections covering three vital algebraic concepts: 📂 **1. Adding and Subtracting Algebraic Fractions (40 Questions)** * **Level 1**: Common numerical denominators and basic simplification. * **Level 2:** Different numerical denominators with linear expression numerators requiring expansion. * **Level 3**: Linear algebraic denominators requiring a common algebraic base (e.g. \(\frac{3}{x-2} - \frac{4}{x+3}\) ) (p. 2). * **Level 4 (Grade 7-9)**: Quadratic denominators requiring factoring first before finding the lowest common multiple. 📂 **2. Rearranging Formulae / Changing the Subject (18 Questions)** * **Level 1:** Formulae involving square roots, fractions, and multi-step inverse operations. * **Level 2 (Grade 8/9):** Complex manipulation where the subject appears multiple times, requiring expansion, grouping common terms, and factorising out the subject. 📂 **3. Equations with Algebraic Fractions (20 Questions)** * **Level 1:** Solving linear fractional equations by clearing the denominators. * **Level 2:** Solving advanced equations that simplify into quadratics, requiring either factorisation or the quadratic formula to solve. 📂 **4. Expanding & Factorising Quadratics** * Supplemental targeted practice on expanding double brackets and simplifying expressions. **Key Features** ✔️ **Full Worked Solutions Included:** Every question comes with a comprehensive, step-by-step written solution. Perfect for quick self-marking, peer assessment, or displaying on your interactive whiteboard. ✔️ **Highly Scaffolded:** Tasks naturally progress in difficulty, allowing students to build up to Grade 9/A* style questions seamlessly. ✔️ **Zero Preparation:** Simply download, select the pages you need, print, and teach! **Ideal For:** * **Main Lesson Practice**: Ideal for independent classwork following a teacher explanation. * **Homework & Revision:** Excellent for consolidation leading up to mock exams or final assessments. * **Cover Lessons:** Clear sequencing and comprehensive answer keys make this completely self-contained for supply or cover staff. * **Flipped Learning / Homework**: Perfect for independent study or remote learning tasks. **File Type**: PDF **Pages:** Complete bundle with question sheets and full answer keys.

£17.90

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10 Algebra worksheets (with detailed solutions)

Ten algebra worksheets on the following topics: factoring polynomials, algebraic fractions, indices and surds. Detailed solutions are included.

£9.90

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12 GCSE IGCSE Math Worksheets | Algebra, Factoring, Formula Subject, Number

12 GCSE/IGCSE Math Worksheets on the following topics: * Calculator use * Changing the subject of a formula * Factorising polynomials * Factors, Multiples and Primes * Gradient and y-intercept of a line * Gradient of a line given the coordinates of two points * HCF, LCM and product of primes * Indices * Parallel lines * Recurring decimals * Rounding numbers * Significant figures Detailed solutions are provided. 12 comprehensive GCSE and iGCSE Maths worksheets with detailed step-by-step solutions. This complete algebra and number revision bundle is ideal for Key Stage 4 exam preparation, homework, and independent consolidation. ________________________________________ Save hours of planning time with this classroom-ready, 12-worksheet maths bundle! Specifically tailored for Key Stage 4 (KS4), this resource package is mapped directly to the core topics assessed by major exam boards, including Edexcel, AQA, OCR, and Cambridge IGCSE (both Higher and Foundation tiers). Every worksheet in this pack features a complete, step-by-step worked solution key. Rather than just providing a list of final answers, these handwritten-style sheets show the full working out. This design facilitates rapid grading for teachers and enables students to independently spot and correct their mistakes during revision sessions. **What Topics Are Covered in This Bumper Pack?** • **Calculator Use & Numerical Accuracy:** Students learn to tackle complex multi-step fraction operations, square roots, and currency metrics. Focuses heavily on rounding answers to 2 decimal places and 3 significant figures. • **Changing the Subject of a Formula (Rearranging Equations):** Scaffolded problems that guide pupils to isolate single variables. Includes linear terms, fractional expressions, powers, roots, and equations requiring factorization. • **Factoring Binomials (Linear & Algebraic Factorisation):** Focused drilling on factoring out the Highest Common Factor (HCF). Progresses logically from basic integers to expressions with mixed variables and indices. • **Factors, Multiples, and Primes:** Deep numerical skill enhancement. Practice includes identifying factor pairs, finding the Least Common Multiple (LCM), Lowest Common Factor (LCF), listing primes up to 40, and completing contextual word problems. **Ideal Delivery Options:** • Graded mastery practice or classroom starters • Structured weekly homework packets • Hassle-free, zero-prep emergency cover lessons / sub plans • Targeted intervention blocks for students aiming to secure a strong pass **Resource Details:** • Format: Ready-to-print PDF worksheets with answers included. • Target Age: 14–16 years old (Year 10 and Year 11). • Curriculum Focus: Key Stage 4 Algebra and Number Sense.

£11.90

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Algebra topics Bundle

Five worksheets (with detailed solutions) on the following topics from algebra: factoring difference of two squares, factoring polynomials, rearranging formulae (easy and harder) and simplifying algebraic fractions. Detailed solutions are provided.

£3.90

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Factoring polynomials Bundle

Three worksheets on factoring polynomials with detailed solutions. The expressions can be factored by taking out the greatest common monomial factor or by using the rules for trinomials, perfect squares and the difference of two squares.

£2.60

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