A worksheet on evaluating a function at a given value and determining the domain of a function. Solutions are included. Good for GCSE/IGCSE students
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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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Functions-Inverse functions worksheets (with solutions)
A collection of three worksheets. One worksheet on evaluating a function at a given value and determining the domain of a function and two worksheets on finding the inverse of a function. Detailed solutions are included. Good for GCSE/IGCSE students.
£2.90
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