

A worksheet on quadratic factorisation including expressions with the coefficient of the square equal to 1 and different than 1, perfect squares and difference of two squares. Solutions are included.
Get this resource as part of a bundle and save up to 51%
A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.
Algebra for GCSE/IGCSE worksheets (with solutions)
A large collection of 24 worksheets (254 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets Factorisation Quadratic factorisation 9.Indices Rearranging formulae Inverse functions Composite functions Equation of a straight line Parallel and perpendicular lines Solving linear equations Solving quadratic equations by factorising Quadratic formula Completing the square and solving quadratic equations by com- pleting the square Simultaneous Equations -Elimination Simultaneous Equations -Substitution Simultaneous Equations One Linear, One Quadratic Linear inequalities Quadratic inequalities The nth term of linear and quadratic sequences Designed for the GCSE/IGCSE specification. Detailed solutions are included.
Factoring Quadratics and Polynomials Bundle | Algebra 1 & KS3 Maths Practice
Four worksheets on factoring polynomials covering different cases: extracting a common factor, difference of two squares, perfect squares, quadratic factorisation. Detailed solutions are provided. Master factorising quadratics and polynomials with this comprehensive 4-worksheet algebra practice bundle. Perfectly aligned with the UK National Curriculum for KS3 and KS4 (Years 9–11), this differentiated maths pack confidently guides students from basic common factors to advanced difference of squares and non-monic quadratics. ________________________________________ Are you looking for a high-quality, time-saving resource to teach, reinforce, or review factorising algebraic expressions and quadratic equations? This complete algebra practice bundle is sequentially designed to build student confidence, mathematical fluency, and absolute mastery over factorising polynomials. Featuring four extensive worksheets with a clear progression of difficulty, this resource makes classroom differentiation effortless for secondary school maths teachers working with mixed-ability groups. **What is Included in This Bumper Pack?** This download contains four separate practice packs, structured progressively to scaffold learning: • **Worksheet 1 (Foundational Factorisation):** Focuses on extracting highest common factors (HCF) from linear, quadratic, multivariate, and fractional algebraic expressions (e.g., pulling out common variables and integers). • **Worksheet 2 (Quadratic Factorisation Pack A):** Targets standard monic trinomials in the form x^2 + bx + c, exploring positive and negative coefficients, combined integers, and variable challenges. • **Worksheet 3 (Quadratic Factorisation Pack B):** Introduces specialized structures, including the Difference of Two Squares (DOTS), Perfect Square Trinomials, and multi-step factorising where a common factor must be extracted first. • **Worksheet 4 (Advanced Polynomial Factoring):** Stretches high-ability learners with non-monic quadratics (where a is greater than 1) and higher-degree expressions featuring cubic and quartic terms up to x^4. • **Full Teacher Solutions:** Complete, step-by-step written answers are provided for every single expansion and factorisation problem across all four worksheets to support quick peer-marking, student self-assessment, or to save you valuable grading time. **Versatile Classroom Applications** This versatile bundle is highly adaptable and can be seamlessly integrated into your maths planning as: • Structured homework assignments to consolidate weekly learning. • Independent main-lesson practice during algebra, quadratic, and polynomial units. • Target math intervention, catch-up work, or small-group revision sessions. • Cover lessons, low-stakes quizzes, or end-of-term GCSE exam preparation. **National Curriculum Alignment** This resource perfectly covers the fluency and reasoning proficiency requirements for Key Stage 3 and Key Stage 4 Mathematics, matching core algebra objectives within the GCSE Foundation and Higher specifications (AQA, Edexcel, and OCR modules): • **KS3/KS4 Maths:** Simplify and manipulate algebraic expressions by taking out common factors and factorising quadratic expressions into the product of two linear expressions. ________________________________________
Factoring Quadratics & Solving Polynomial Equations Worksheets BUNDLE | Algebra
Master factoring polynomials and solving quadratic equations with this comprehensive, zero-prep 10-worksheet bundle! Designed for Key Stage 3, Key Stage 4, GCSE Maths, and A-Level revision, this bundle guides students step-by-step from foundational factoring concepts all the way to solving complex equations using factoring and the Quadratic Formula. Every worksheet set includes clear, structured practice problems alongside a full, step-by-step answer key to make marking fast and student self-checking effortless! WHAT IS INCLUDED IN THIS 10-WORKSHEET BUNDLE: * **Worksheet 1: Factorization (Common Factor and Grouping)** Practice with GCF extraction, multi-variable terms, binomial common factors, and factoring by grouping four-term polynomials. * **Worksheet 2: Factoring the Difference of Two Squares** Single-variable, multi-variable, fractional coefficients, and multi-step difference of squares factoring. * **Worksheet 3: Factoring Perfect Squares** Perfect square trinomial identification, expanding perfect squares, and factoring out common numerical factors first. * **Worksheet 4: Quadratic Factorisation (Basic - leading coefficient of 1)** Comprehensive practice factoring simple trinomials with positive and negative middle and last terms. * **Worksheet 5: Quadratic Factorisation (Advanced - leading coefficient greater than 1)** Factoring complex trinomials using decomposition or grouping methods. * **Worksheet 6: Quadratic Factorisation Review & Mixed Practice** Comprehensive mixed review combining simple quadratics, difference of squares, perfect squares, and leading coefficients greater than 1. * **Worksheet 7: Solving Quadratic Equations by Factorising** Applying the Zero Product Property to solve equations in factored form, standard form, and equations requiring initial rearrangement. * **Worksheet 8: Solving Equations Using the Quadratic Formula** Step-by-Step practice applying the quadratic formula, identifying double roots, handling rational/irrational solutions, and rounding to two decimal places. * **Complete Step-by-Step Answer Keys:** Worked-out solutions included for all 10 worksheet sets. **SKILLS COVERED:** * Extracting Greatest Common Factors (GCF) * Factoring by Grouping * Difference of Two Squares * Perfect Square Trinomials * Factoring Quadratics * Zero Product Property * Solving Quadratic Equations by Factoring * Applying the Quadratic Formula * Rearranging Equations into Standard Form **PERFECT FOR:** * Whole Unit Practice & Lesson Supplements * Independent Classwork & Daily Homework * Key Stage 3, Key Stage 4, GCSE & A-Level Algebra Revision * Emergency Cover Lessons & Sub Plans * Small Group Intervention & Tutoring
8 GCSE/IGCSE worksheets on percentages, indices and factorisation (with solutions)
8 worksheets on the following: finding a percentage of an amount, calculating a fraction of an amount, expressing a fraction as a percentage, increasing and decreasing an amount by a percentage, solving problems involving reverse percentage and percentage change, quadratic factorisation, expanding brackets and factorising, power 1, power 0, negative powers and fractional powers and simplifying expressions with indices using the multiplication and division laws of indices. Detailed solutions are provided.
Quadratic factorisation (coefficient 1 or not 1) worksheets
Three worksheets on quadratic factorisation including expressions with the coefficient of the square equal to 1 and greater than 1, perfect squares and difference of two squares. Solutions are included.
Factorisation worksheets (with solutions)
Nine worksheets on factorisation. Detailed solutions are included.
12 Worksheets on Factorising Quadratics (with solutions)
Twelve worksheets on quadratic factorisation including expressions with the coefficient of the square equal to 1 and greater than 1, perfect squares and difference of two squares. Solutions are included. Good for GCSE/IGCSE students.
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have purchased this resource can review it
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.