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Fractions (general exercises) worksheet (with solutions)

Fractions (general exercises) worksheet (with solutions)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

27 July 2026

pdf, 77.13 KB
pdf, 77.13 KB

A worksheet on equivalent fractions, addition, subtraction, multiplication and division of fractions. Solutions are included.

Get this resource as part of a bundle and save up to 48%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

GCSE IGCSE Maths Revision Pack | Algebra, Fractions, Standard Form, Calculus

6 GCSE/IGCSE maths worksheets on the following topics: standard form, expanding brackets and factorising, fractions and differentiation. Solutions are included. Master core arithmetic, algebra, and introductory calculus with this comprehensive 6-worksheet GCSE/IGCSE maths revision pack. Featuring targeted practice on standard form, factorising quadratics, fraction arithmetic, and differentiation, every worksheet includes full, step-by-step worked solutions to save you hours of marking time. Perfect for KS3, KS4, and GCSE maths revision or exam lessons. ________________________________________ Are you looking for a ready-to-print, high-quality revision pack to help your students master essential arithmetic, algebraic manipulation, and introductory calculus? This GCSE / IGCSE Maths Revision Pack provides extensive, scaffolded practice across 6 critical secondary mathematical skills. Designed to build strong procedural fluency, this resource takes students from basic fraction operations and standard form all the way to quadratic expansions and polynomial differentiation. Perfect for Key Stage 3 extension, Key Stage 4, GCSE/IGCSE Maths preparation, or international algebra curricula! ________________________________________ ⚡ **What’s Included in This 6-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: • **Worksheet 1: Standard Form** o Features identification drills and conversions between large/small ordinary numbers and correct standard form notations, including expressions with indices. • **Worksheet 2: Expanding & Factorising Quadratics** o Focuses on expanding double brackets (including identities like difference of two squares) and fully factorising quadratic trinomials. • **Worksheet 3: Expanding Brackets & Factorising Linear Expressions** o Covers single bracket distributions, multi-term expansions, and pulling out single or algebraic highest common factors (HCF). • **Worksheet 4: Simplifying Fractions** o Provides rigorous practice in reducing numeric fractions to their absolute simplest form to build numerical confidence. • **Worksheet 5: Core Fraction Operations** o Includes structured exercises for adding, subtracting, multiplying, and dividing fractions with both common and unlike denominators. • **Worksheet 6: Differentiation (Intro to Calculus)** o Challenges advanced students to differentiate polynomial equations with respect to x, including handling negative indices and reciprocal terms like 1/x. ________________________________________ 🎯 **Why Teachers Love This Pack:** • No Prep Required: Just print, photocopy, and hand out to your classes. • Scaffolded Learning: Problems systematically build from foundational skills to higher-tier extension concepts. • Versatile Class Use: Ideal for independent classroom study, homework tasks, emergency cover lessons, or structured exam revision. • Clear Work Space: Generous layouts leave students plenty of room to write out their formulas and calculations neatly. ________________________________________ 📐 **Curriculum & Topics Covered:** • Key Stage 3 & 4 National Curriculum: Algebraic proficiency, numeric relationships, and solving problems. • GCSE Maths (Foundation & Higher Tier): Standard form conversion, fraction arithmetic, expanding brackets, and factorising quadratic expressions. • IGCSE / GCSE Maths (Higher Tier): Know and apply the derivative of a polynomial function with respect to x. • Target Keywords: GCSE maths revision, IGCSE maths, expanding brackets, factorising quadratics, standard form, fractions worksheets, single brackets, differentiation, calculus intro, maths exam practice. ________________________________________

£4.90
Bundle

Fractions Worksheets Bundle | Adding Subtracting Multiplying Dividing Fractions

20 worksheets on fractions including the following topics: comparing fractions, simplifying fractions, equivalent fractions, 4 operations between fractions, whole numbers and mixed numbers, converting between improper fractions and mixed numbers. Detailed solutions are included. Are you looking for an all-in-one fractions worksheets bundle to help your students master arithmetic? This comprehensive math practice pack provides no-prep printable booklets for adding, subtracting, multiplying, and dividing fractions with different denominators. Perfect for Key Stage 2 (KS2) Year 5 and Year 6, Key Stage 3 (KS3) revision, independent practice, or cover work! ________________________________________ Stop spending your evenings hunting down clean fraction practice pages! This 20-page Fractions Worksheets Bundle is designed to save you hours of planning time while providing structured mathematical fluency. Whether your students are just starting with comparing fractions or tackling operations with complex mixed numbers, this resource gives them the clear, structured repetitions they need to build confidence. Every single worksheet comes equipped with a matching, fully worked-out solution key to make marking a breeze or to allow for student self-assessment. ________________________________________ **What is Included in This 20-Page Resource?** • **Adding & Subtracting Fractions:** Basic problems with common and different denominators. • **Mixed Operations:** Addition and subtraction between fractions and mixed numbers. • **Whole Numbers & Fractions:** Operations combining whole numbers with fractions across multiple skills. • **Comparing Fractions:** Evaluation sheets utilizing greater than, less than, and equal to symbols. • **Dividing Fractions:** Advanced worksheets dedicated to dividing standard fractions by whole numbers, unit fractions, and inverse fractions. • **Full Answer Keys:** Completely solved, line-by-line worked solutions for all 20 worksheets. ________________________________________ **Perfect Classroom Use Cases** • Daily Math Warm-Ups or Bell Ringers • Independent Classwork Booklets • Small Group Guided Math / Intervention Groups • Homework Assignments • Emergency Cover Work / Supply Teaching Plans ________________________________________ **Curriculum Standards Covered (UK National Curriculum)** • **Year 5 Math:** Compare and order fractions whose denominators are all multiples of the same number. Add and subtract fractions with the same denominator and denominators that are multiples of the same number. • **Year 6 Math:** Compare and order fractions, including fractions > 1. Add and subtract fractions with different denominators and mixed numbers. Multiply simple pairs of proper fractions. Divide proper fractions by whole numbers. • **KS3 Maths:** Consolidate numerical work with fractions and understand the standard algorithms for addition, subtraction, multiplication, and division. ________________________________________

£17.90
Bundle

Equivalent Fractions, Simplifying & Converting Worksheet Bundle

A collection of 7 worksheets on fractions, mixed numbers, percentages and decimals. The following topics are included: fraction comparison, equivalent fractions, fraction operations (addition, subtraction, multiplication and division), conversions between improper fractions and mixed numbers and conversions between percentages, fractions and decimals. Detailed solutions are provided. Master equivalent fractions, simplifying, and format conversions with this comprehensive 7-worksheet arithmetic practice pack. Perfectly aligned with the UK National Curriculum for KS2 and KS3 (Years 4–7), this differentiated maths resource confidently guides students from basic fraction equivalence to complex decimal and percentage conversions. ________________________________________ Are you looking for a high-quality, time-saving resource to teach, reinforce, or review foundational fractions, decimals, and percentages? This complete arithmetic practice pack is sequentially designed to build student confidence, mathematical fluency, and absolute mastery over fractions. Featuring seven extensive worksheets with a clear, progressive learning structure, this resource makes classroom differentiation effortless for primary and secondary school maths teachers working with mixed-ability groups. **What is Included in This Bumper Pack?** This download contains seven separate practice sheets, structured progressively to scaffold learning: • **Worksheet 1 (Comparing Fractions):** Focuses on comparing standard proper fractions using greater than, less than, or equal to symbols by finding common denominators. • **Worksheet 2 (Equivalent Fractions - Basic missing values):** Builds fluency in recognizing scalar factors to solve missing numerators or denominators across equivalent fraction pairs. • **Worksheet 3 (Equivalent Fractions - Extended Multi-Ratio Chains):** Challenges students to fill in extended equivalent chains across multiple numerators and denominators simultaneously. • **Worksheet 4 (Core Operations Practice Pack):** Provides comprehensive calculation practice for adding, subtracting, multiplying, and dividing standard fractions. • **Worksheet 5 (Improper Fractions & Mixed Numbers):** Targets matching and converting between improper fractions and mixed numbers, including final answer simplifying. • **Worksheet 6 (Fractions, Decimals, & Percents Conversions):** Sharpens fluency by prompting students to convert numerical sets cleanly across all three mathematical formats. • **Worksheet 7 (Simplifying Fractions):** Dedicates targeted practice to finding highest common factors to cancel fractions down to their simplest form. • **Full Teacher Solutions:** Complete, step-by-step written answers are provided for every single question across all seven 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 fraction, decimal, and percentage units. • Target math intervention, catch-up work, or small-group revision sessions. • Cover lessons, low-stakes quizzes, or end-of-term assessment preparation. **National Curriculum Alignment** This resource perfectly covers the fluency and reasoning proficiency requirements for Key Stage 2 and Key Stage 3 Mathematics, matching core numerical objectives: • **KS2/KS3 Maths:** Recognise and use fractions as numbers, write equivalent fractions, cancel down and simplify, convert between fractions, decimals and percentages, and calculate with proper fractions. ________________________________________

£5.90

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