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Percentage of a quantity worksheet (with solutions)

Percentage of a quantity worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

13 August 2026

pdf, 72.37 KB
pdf, 72.37 KB

A worksheet on finding the percentage of a quantity without the use of a calculator. Solutions are included.

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GCSE IGCSE Number Worksheets Bundle - Fractions Percentages Indices Bounds +

A collection of 20 worksheets on various number topics from the GCSE/IGCSE syllabus. The following topics are included: * Rounding * Bounds * Calculator use * Percentages, fractions and decimals * Increasing or decreasing an amount by a percentage * Percentage of a quantity * The rules of indices * Factors, Multiples and Primes * Square and cube roots * Mixed operations between fractions, mixed numbers and whole numbers * HCF and LCM using prime factorisation * Recurring decimals * Simple interest * Compound interest * Operations With Positive and Negative Numbers * Order of operations * Standard form * Multiplying and dividing by powers of 10 * Adding and subtracting positive and negative numbers * Multiplying and dividing positive and negative numbers Detailed solutions are provided for each worksheet. Master core GCSE and IGCSE mathematics with this comprehensive, no-prep 20-worksheet Number resource pack! Packed with exam-style questions, complete step-by-step worked solutions, and a wide variety of topics, this collection is perfect for KS3 and KS4 revision, homework, and cover lessons. Covers fractions, percentages, index laws, upper/lower bounds, rounding, and calculator operations. ________________________________________ Looking for rigorous, no-prep math resources to help your students master essential Number topics? This highly comprehensive 20-worksheet pack is designed to fully align with UK GCSE and IGCSE math specifications. Whether you need structured cover lessons, targeted homework tasks, daily classroom practice, or an all-in-one exam revision booklet, this resource has you covered! Every single worksheet comes paired with complete step-by-step worked solutions, making grading an absolute breeze and allowing students to self-assess or peer-mark effectively. ________________________________________ **What Topics Are Covered?** 1. **Percentages & Conversions** • Converting seamlessly between fractions, decimals, and percentages. • Calculating the exact percentage of a given quantity. • Increasing and decreasing an amount by a percentage. 2. **Fractions & Core Arithmetic Operations** • Simplifying and writing fractions in their simplest form. • Converting fractions to exact percentages and decimals. 3. **The Rules of Indices (Laws of Indices)** • Multiplying and dividing terms using basic, fraction, and negative index laws. • Simplifying complex algebraic terms with brackets and single variables. • Working with dual-variable expressions involving negative bases. 4. **Upper & Lower Bounds (Error Intervals)** • Calculating upper and lower bounds for multi-step formulas. • Applying rounding bounds to fractional and multi-variable equations. • Solving limits for equations containing radicals and square roots. 5. **Foundational Number Skills** • Rounding integers to the nearest 10, 100, or 1000. • Rounding decimals to the nearest whole number or specific decimal places. • Listing factors, multiples, prime numbers, and prime factors. • Multi-step calculator practice using complex fractional expressions, fractions, and roots. ________________________________________ **Why Teachers Choose This Resource Pack:** • Zero Prep Needed: Just download, print, and you are ready to go! • Step-by-Step Solutions: Complete answer keys show exactly how to solve each problem, not just the final numerical answer. • Scaffolded Layout: Moves smoothly from basic numeric concepts up to advanced higher tier error bounds. • Universal, Clean Design: Styled neatly without distracting clutter, maximizing student focus during revision. ________________________________________ **Curriculum Alignment:** • Key Stage 4 (KS4): Perfect for Year 10 and Year 11 preparing for Higher and Foundation tiers. • Key Stage 3 (KS3): Great for Year 8 and Year 9 higher-tier extension or foundational work. • Exam Boards: Fully supports objectives for Edexcel, AQA, OCR GCSE, and Cambridge CIE / Oxford AQA IGCSE.

£18.90
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Algebra Review Worksheets Bundle | GCSE Maths & Algebra 1 | 91t Prep Packet

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. Looking for a comprehensive, no-prep collection to help your secondary students master algebra? This 20-page Algebra Revision Worksheets Bundle is the ultimate resource pack for Key Stage 3 and GCSE Maths revision, smoothly guiding students from basic linear equations through to complex algebraic fractions and quadratic inequalities. ________________________________________ Master GCSE Algebra with This Comprehensive, Scaffolded Revision Worksheet Pack! Take the stress out of lesson planning and exam preparation with this complete, high-quality algebra resource collection. This pack contains structured, progressive worksheets that systematically isolate core algebraic skills before challenging students with multi-step, higher-tier examination problems. Whether you need a comprehensive end-of-term revision booklet, targeted homework tasks, cover lesson resources, or structured classroom booklets, this print-and-go bundle saves you hours of preparation time. **Why Mathematics Teachers Value This Bundle:** • Scaffolded Learning Progression: Every single topic starts with accessible, baseline questions to build learner confidence before gradually advancing to include fractional coefficients, multiple variables, and complex negative distributions. • Full Step-by-Step Solutions Included: Every question features completely worked-out mathematical workflows. This makes tracking answers effortless for teachers and allows for meaningful student self-assessment. • Spacious, Clear Layout: The clean aesthetic avoids over-crowding the page, giving secondary pupils plenty of room to write out their operations systematically and reduce calculation errors. • Perfect for Revision & Cover: Highly structured for independent work, making it an ideal choice for GCSE exam countdowns, targeted intervention groups, or robust cover work. **Detailed Module Breakdown:** • Solving Linear Equations: Core practices involving balancing equations, expanding brackets, distributing negative signs, and manipulating variables on both sides. • Solving Quadratic Equations: Comprehensive coverage including factorising quadratics, taking square roots, and applying the Quadratic Formula to two decimal places. • Operations with Algebraic Fractions: Simplification and manipulation of complex rational expressions using addition, subtraction, division, and factor cancellation. • Quadratic Inequalities: Comprehensive mastery of inequality intervals using structural quadratic factorisation and numerical number-line test values. **UK Curriculum and Exam Board Alignment:** • Key Stage 3 (KS3) Maths: Perfect stretching material for upper-band Year 9 classes moving toward higher curriculum tiers. • GCSE Maths (Foundation & Higher Tier): Fully aligned with the National Curriculum "Algebra" strand requirements for AQA, Edexcel, and OCR exam board specifications. ________________________________________

£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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Percentages Math Worksheets Bundle | Percent Increase Decrease, Reverse, FDP

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. Master all essential percentage skills with this comprehensive, no-prep worksheets bundle! Perfectly tailored for KS3 maths and GCSE 9-1 exam preparation (Foundation and Higher tiers). This pack covers fraction-decimal-percentage (FDP) conversions, finding a percentage of an amount, percentage increase and decrease, reverse percentages, and compound interest. Full, step-by-step worked solutions are included for easy marking, self-assessment, or independent revision. Ideal for classwork, homework, and cover lessons! ________________________________________ Looking for a thorough, zero-prep way to build complete student confidence with percentages? This GCSE 9-1 Percentages Maths Worksheets Bundle contains carefully structured practice packs engineered to help students achieve complete mastery over percent operations, conversions, and real-world financial applications. Whether you are teaching core number skills to Year 7 and 8, prepping Year 11s for their GCSE exams, or providing targeted intervention, these clean layouts keep students focused. Every single worksheet comes paired with a complete, step-by-step worked solution page! The answer pages clearly show the decimal multipliers and exact calculator steps used, making it an ideal resource for quick teacher marking, independent student self-assessment, or hassle-free cover lessons. ________________________________________ **What is Included in This Practice Pack?** • **Conversions between FDP:** Fluency practice rewriting values fluidly between fractions in their simplest form, decimals, and percentages. • **Expressing One Quantity as a Percentage of Another:** Practice calculating what percentage one number is of another, featuring exact answers and rounding to one decimal place. • **Percentage of a Quantity:** Targeted calculation mechanics to find exact percentages of whole amounts without a calculator or using multiplier methods. • **Increasing or Decreasing an Amount by a Percentage:** Practice calculating markups, discounts, depreciation, and real-world changes using percentage multiplier rules. • **Reverse Percentages (Finding the Original Amount):** Multi-step worded problems and calculations to determine the baseline value before a percentage change occurred. • **Compound Interest Calculations:** High-rigor financial maths exercises introducing exponential growth calculations over multiple years using the formula method. ________________________________________ **Perfect For:** • Key Stage 3 (KS3): Year 7, 8, and 9 core curriculum and mastery tracking • Key Stage 4 (KS4): GCSE 9-1 Foundation tier revision and Higher tier baseline assessments • Independent Study: Homework assignments, morning retrieval tasks, or exam revision • Cover Work: Complete "ready-to-print" packages for supply teachers ________________________________________ **Curriculum Alignment** • UK National Curriculum: Key Stage 3 & Key Stage 4 Maths (Number properties, proportional reasoning, and financial mathematics) • Exam Boards: Fully supports AQA, Edexcel, and OCR GCSE Maths specifications

£5.90
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7 Worksheets on: finding the percentage of a quantity, increasing or decreasing an amount by a percentage, percentage change, and percentage decrease or increase using multipliers. Master percentage increase, decrease, and percentage change with this no-prep math bundle! It builds clear fluency in finding percentage adjustments, calculating profit and loss, and working with decimal multipliers. Perfect for upper KS2 and lower KS3 math lessons, homework, or retrieval practice. ________________________________________ Looking for a print-and-go resource to help your students conquer percentage applications? This comprehensive worksheet bundle is designed to build absolute math fluency with multi-step percentage problems. It guides students step-by-step through calculating changes in value, analyzing real-world financial situations, and mastering percentage multipliers. This resource is fully aligned with the UK National Curriculum for Key Stage 3 (KS3), specifically focusing on percentage increases, decreases, and percentage changes. 📌 **What's Included:** • **Decreasing an Amount by a Percentage Worksheets:** Targeted practice for calculating structural reductions on numbers and financial values. • **Increasing an Amount by a Percentage Worksheets:** Clear layouts to reinforce adding a percentage to base values. • **Percentage Change (Profit & Loss) Worksheets:** Focused practice finding the exact percentage change from an original price to a new price, labeled as profit or loss. • **Percentage Multipliers Practice:** Scaffolded exercises teaching students how to convert a percentage change directly into a decimal multiplier. • **Complete Answer Keys:** Full, worked-out calculation steps included for every single problem to make marking effortless or to allow student self-checking. 📝 **Perfect For:** • Independent classroom practice, morning work, or weekly homework tasks • Small group math intervention, numeracy remediation, and functional skills tutoring • Fast finishers, class checks, and emergency cover lesson plans ________________________________________

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Three worksheets on finding the percentage of a quantity without the use of a calculator. Solutions are included.

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Percentages, fractions and decimals Bundle 2

Three worksheets on the following: converting decimals to percentages, percentages to fractions and fractions to percentages, finding the percentage of a quantity without the use of a calculator and 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. Detailed solutions are included.

£2.00
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Percentages-Percentage Change worksheets (with solutions)

A collection of 4 worksheets on the following: finding the percentage of a quantity without the use of a calculator, expressing one quantity as a percentage of another, increasing or decreasing an amount by a percentage and finding the percentage change given the initial and final amounts. Detailed solutions are included.

£3.45

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