pdf, 77.35 KB
pdf, 77.35 KB

A worksheet on reverse percentage. It has word problems on this topic. 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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GCSE Maths-Number and Algebra Revision Pack

A bundle of 20 worksheets (with detailed solutions) on Number and Algebra topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities. The topics covered by these worksheets include: * Operations with positive and negative numbers * Recurring decimals * Surds * Sequences * Percentage of a quantity * Reverse percentage * Compound interest * Simple interest * Percentage change * Percentage Increase Decrease * Simplifying expressions by collecting like terms * Expanding single brackets * Expanding double brackets * Factorising simple expressions * Factorising quadratic expressions * Solving linear equations * Solving quadratic equations * Operations with algebraic fractions * Linear inequalities * Quadratic inequalities The pack is ideal for use in revision sessions or for individual study. The solutions provided are very clear and explanatory.

£18.90
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GCSE Maths-Number Revision Pack 2

A bundle of 10 worksheets (with detailed solutions) on Number topics appropriate for GCSE students. Each worksheet contains questions for students of various abilities. The topics covered by these worksheets include: * Operations with positive and negative numbers * Recurring decimals * Surds * Sequences * Percentage of a quantity * Reverse percentage * Compound interest * Simple interest * Percentage change * Percentage Increase Decrease The pack is ideal for use in revision sessions or for individual study. The solutions provided are very clear and explanatory.

£8.90
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Percentage Change Increase Decrease & Reverse Percentages Worksheets | Algebra

4 worksheets on the following: increasing/decreasing an amount by a percentage using the multiplier method and the two step method, percentage change and reverse percentage. Master percentage change, multipliers and reverse percentages with this complete KS3 and GCSE maths financial pack featuring worksheets and full answers. Are your student groups struggling to differentiate between a standard percentage change and a reverse percentage problem? Do they get confused when calculating decimal multipliers, or when trying to work backward from a sale price to find the original normal price of an item? Take the stress out of your lesson planning with this comprehensive percentage practice pack! This collection is meticulously designed to build numerical fluency, moving students smoothly from foundational percentage arithmetic to complex, multi-step consumer maths applications. **What’s Included in This Resource Pack?** This all-in-one packet delivers distinct, targeted worksheets covering essential secondary arithmetic units. Each section features a clear, progressive problem set followed by a matching teacher answer manual showing exact setups and calculation transformations: **Section: Increasing and Decreasing by a Percentage** Core fluency practice requiring students to find basic percentage adjustments on integer amounts using structured operational fractional steps. **Section: Finding Percentage Change** Targeted exercises where students calculate the exact percentage of increase or decrease when given an original value and a new value. **Section: Percentage Adjustments Using a Multiplier** Exercises teaching students how to convert percentage adjustments into quick decimal multipliers to calculate values efficiently. **Section: Reverse Percentages & Original Values** Rigorous real-world word problems tracking spectator fluctuations, salary adjustments, and store discount sales where students must work backward using multipliers to identify the original cost or amount. **Full Teacher Answer Keys** Every section includes fully worked-out solutions showing fraction steps, multiplier equations, and final calculations. It is perfectly ready for quick marking, projectable self-assessment, or independent study checks! **Ideal For Curriculum Delivery:** * **KS3 Maths:** Perfect for introducing ratio structures, multipliers, and real-world financial contexts in Years 7, 8, and 9. * **KS4 / GCSE Maths (Foundation & Higher):** Excellent as a comprehensive unit review covering reverse percentages, multiplier logic, and functional calculation constraints. * **Remedial Support / Revision:** High-utility worksheets for intervention groups, GCSE foundation revision packages, or independent learning centers. **Why Teachers Choose Our Resources:** * **Ready to Print:** No-prep layout saves valuable preparation time—simply print and copy. * **Scaffolded Progress:** The problem sets intentionally scale in difficulty to build student confidence. * **Spacious Design:** Clean layout gives learners plenty of room to write out their working directly on the sheet. *If you find this maths resource helpful, please leave a review! Your feedback helps create better classroom tools.*

£3.90
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Percentages Bundle

A collection of 8 worksheets on percentages. The following are included: * Percentages, fractions and decimals * Expressing one quantity as a percentage of another * Percentage Increase-Decrease * Percentage change * Simple interest * Compound interest * Reverse percentage * Percentage (over 100) of a number Detailed solutions are included.

£6.90
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GCSE 9-1 Percentages Bundle

A collection of 7 worksheets on percentages based on the GCSE 9-1 specification. The following are included: * Expressing one quantity as a percentage of another (non-calculator) * Expressing one quantity as a percentage of another (calculator) * Percentages, fractions and decimals: conversions between the three of them and word problems * Percentage of a quantity (non-calculator): finding the percentage of a quantity without the use of a calculator * Increasing or decreasing an amount by a percentage (non-calculator): increasing or decreasing an amount by a given percentage without using a calculator * Reverse percentage * Compound interest Detailed solutions are included.

£5.90
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Percentages, reverse percentage and compound interest Bundle

Three worksheets on the following topics: Percentages, fractions and decimals, reverse percentage and compound interest. Solutions are included.

£2.90

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