A worksheet on composite functions. Solutions are included.
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GCSE IGCSE Maths | Percentages, Functions & Algebraic Fractions Bundle
9 GCSE/IGCSE Math worksheets on the following topics: percentage increase and decrease, percentages, fractions and decimals, reverse percentage, functions, composite functions, domain of a function, inverse functions, simplifying algebraic fractions, equations with algebraic fractions. Detailed solutions are provided. Master percentages, functions, and algebraic fractions with this comprehensive 9-worksheet GCSE/IGCSE maths revision pack. Covering percentage multipliers, reverse percentages, composite functions, function domains, and algebraic fractions, every worksheet includes full, step-by-step worked solutions to save you hours of marking time. Perfect for KS4, GCSE, and IGCSE maths revision or lessons. ________________________________________ Are you looking for ready-to-print, high-quality revision packs to help your students master advanced percentage operations, algebraic functions, and algebraic fractions? This GCSE IGCSE Maths Practice Pack provides extensive, scaffolded practice across three critical pillars of secondary mathematics. Designed to build deep conceptual understanding and strong procedural fluency, this resource takes students from foundational fluency drills all the way to higher-tier, exam-style challenge questions. Perfect for Key Stage 4, GCSE/IGCSE Maths preparation, or international algebra curricula! ________________________________________ ⚡ **What’s Included in This 9-Worksheet Resource?** Each worksheet comes as a standalone clean printout, accompanied by an identical layout featuring full, step-by-step worked solutions for easy marking or student self-correction: 📈 **Module 1: Percentages & Multipliers (3 Worksheets)** • **Worksheet 1: Percentage Increase & Decrease Multipliers** – Focused on finding the exact decimal multipliers for percentage changes, including challenging fractional and decimal percentages (e.g., increase by 18.6%, decrease by 7.4%). • **Worksheet 2: FDP Conversions & Core Percentages** – Fluency drills for converting fluidly between fractions, decimals, and percentages, alongside direct multiplier practice to calculate standard increases and decreases. • **Worksheet 3: Reverse Percentages** – High-intent word problems requiring students to work backward to find original values before sales, salary increases, weight losses, or business profit margins were applied. 🔄 **Module 2: Advanced Functions & Notation (4 Worksheets)** • **Worksheet 4: Function Evaluation** – Introduction to evaluating individual functions using clean linear, quadratic, and cubic expressions. • **Worksheet 5: Composite Functions (Numeric Evaluation)** – Numeric evaluations of nested functions like fg(5) and gf(0) using linear, quadratic, radical, and cubic equations. • **Worksheet 6: Composite Functions (Algebraic Expressions)** – Challenges students to derive algebraic expressions for nested functions like fg(x) and hf(x), requiring full expansion and simplification of brackets. • **Worksheet 7: Domain of a Function** – Rigorous training in finding the restrictions and allowable domains for linear, quadratic, radical, rational, and combination functions using both inequalities and interval notation. ➗ **Module 3: Algebraic Fractions (2 Worksheets)** • **Worksheet 8: Simplifying Algebraic Fractions** – Focused on simplifying complex algebraic fractions by factorising numerators and denominators to cancel down common linear terms. • **Worksheet 9: Operations with Algebraic Fractions** – Structured exercises for adding, subtracting, multiplying, and dividing algebraic fractions with unlike denominators. ________________________________________ 🎯 **Why Teachers Love This Resource:** • No Prep Required: Just print, photocopy, and hand out to your classes immediately. • Scaffolded Progressions: Problems systematically build from fundamental drill skills to higher-tier extension concepts. • Versatile Class Use: Ideal for independent classroom study, homework tasks, emergency cover lessons, or structured exam revision packs. • Clear Work Space: Generous layouts leave students plenty of room to write out their formulas, multipliers, and workings neatly. ________________________________________ 📐 **Curriculum & Topics Covered:** • Key Stage 4 National Curriculum: Algebraic proficiency, numeric relationships, and scaling. • GCSE & IGCSE Maths (Foundation & Higher Tier): Work interchangeably with fractions, decimals, and percentages; solve reverse percentage problems using multipliers; simplify and manipulate algebraic fractions. • IGCSE Maths (Higher Tier Extension): Understand, evaluate, and find expressions for composite functions; determine the restricted domains of distinct functions. • Target Keywords: GCSE maths revision, IGCSE maths pack, reverse percentages, composite functions, domain of a function, algebraic fractions, expanding brackets, factorising expressions, maths worksheets bundle. ________________________________________
£9.90
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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.
£19.90
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Algebra 2 Functions Bundle Composite Inverse & Domain Worksheets
Three worksheets on functions. The following topics are covered: domain of a function, composite functions and inverse functions. Detailed solutions are included. Good for GCSE/IGCSE students. Are you looking for a no-prep algebra functions worksheets pack? This comprehensive maths practice resource features 3 highly structured worksheet booklets covering composite functions, inverse functions, and finding the domain of functions. Packed with rigorous problems and multi-step equations, it is perfect for A-Level Maths, Core Maths, Key Stage 5 (KS5) lesson starters, independent booklets, or exam revision! ________________________________________ Take the stress out of planning your algebraic functions unit! This targeted 3-worksheet Functions Pack guides students seamlessly through the essential algebraic operations required for advanced school maths fluency. With dozens of comprehensive practice problems, this resource offers a clean, progressive climb in difficulty. Your students will move systematically from evaluating simple composite operations to tackling complex rational equations and radical function constraints. Every single worksheet includes a fully worked-out, step-by-step solution key. This makes marking effortless for busy teachers and allows students to self-assess their mistakes line by line, complete with interval notation guides and interval sign-testing calculations! ________________________________________ 🎯 **What is Included in This 3-Worksheet Pack?** • **Worksheet 1: Composite Functions (14 Multi-Part Problems)** – Master calculating numerical values for fg(x) and gf(x), evaluating operations containing variables, and managing nested polynomial combinations. • **Worksheet 2: Domain of a Function (20 Problems)** – Focuses heavily on finding constraints, managing denominators, evaluating radicals, and writing final answers cleanly using interval notation. • **Worksheet 3: Inverse Functions (30 Comprehensive Problems)** – Practice finding the mathematical inverse for linear equations, complex rational functions, cubics, and radical setups, plus multi-step algebraic steps. • **Complete Step-by-Step Answer Keys** – Fully solved sheets showing exact algebraic switches, interval analysis tables, and finalised functional breakdowns. ________________________________________ 🏫 **Perfect Classroom Use Cases** • A-Level Maths end-of-unit revision or exam preparation • Independent classroom practice booklets • Small-group guided maths interventions or tutorials • Extension homework assignments or weekly quizzes • Emergency no-prep cover work / supply teaching plans ________________________________________ 📏 **Curriculum Standards Covered (UK National Curriculum & A-Level)** • **A-Level Maths (Pure Mathematics):** Understand and use the definition of a function, domain, and range. Find composite functions fg(x) and inverse functions f^-1(x), including the graphical relationship between a function and its inverse. • **Key Stage 5 (Algebra):** Manipulate rational expressions, clear algebraic fractions, and isolate variables in non-linear configurations to modify functional subjects. ________________________________________
£3.50
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Composite and inverse functions worksheets (with solutions)
Four worksheet on composite and inverse functions. Solutions are included. Good for GCSE/ IGCSE students.
£3.75
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