pdf, 65.79 KB
pdf, 65.79 KB

A worksheet on solving linear equations in one variable that are written as proportions. The method of cross multiplication is used. There are 20 problems and detailed solutions are included.

Are you looking for a comprehensive, no-prep resource to help your students master solving equations with proportions? This Solving Equations with Proportions Worksheet features 20 carefully sequenced problems designed to build confidence from basic proportions to multi-step equations with variables on both sides!
This multi-page assignment is perfect for daily practice, independent classwork, homework, revision, or targeted maths intervention. Just print and pass it out!

What is Included in This Resource?
This comprehensive practice packet is structured to support student learning:

  • Step-by-Step Problem Progression: Problems start with standard numerical proportions and advance into complex algebraic equations with unknowns on both sides or binomial numerators.
  • Generous Workspace: The student pages are cleanly formatted with dedicated boxes for each question, leaving plenty of room for students to show their cross-multiplication work.
  • Complete Solution Key: Fully worked-out, step-by-step answers are included for all 20 problems, making marking incredibly fast or allowing for student self-checking!

Curriculum & Educational Standards Covered

  • Key Stage 3 (KS3) & Key Stage 4 (KS4) Maths: Aligns perfectly with the National Curriculum algebra requirements for setting up, manipulating, and solving linear equations with fractional terms.
  • GCSE Mathematics (Foundation & Higher): Excellent for reinforcing algebraic fractions and proportional reasoning across all UK exam boards (AQA, Edexcel, OCR). It ensures students can confidently cross-multiply and solve for an unknown before moving on to harder algebraic fraction equations.

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

Bundle

Solving Proportions and Percentages Worksheets Bundle | Cross Multiplication

Three worksheets on proportions and percentages. There are two worksheets on solving linear equations in one variable that are written as proportions using the method of cross multiplication. There is one worksheet on solving percent problems using proportions. Detailed solutions to all worksheets are included. **Engage your students with this comprehensive, no-prep maths worksheets bundle!** This resource is designed to help students master solving equations with proportions, cross-multiplication, and percentage problems. Perfect for classroom practice, homework, cover lessons, or GCSE revision! **What is Included in This Bundle?** This bundle includes 3 separate worksheet packs, complete with step-by-step visual solution keys for every single problem: 1. **Solving Equations with Proportions (20 Questions):** Practice solving algebraic equations involving fractions, ranging from simple single-variable terms to complex multi-step binomial expressions like (2x-2)/10 = (x+3)/15. 2. **Solving Proportions Using Cross-Multiplication (20 Questions):** Targeted practice using cross-multiplication to rearrange and solve algebraic equations. 3. **Solving Percentages Problems Using Proportions (22 Questions):** Comprehensive practice covering three main types of percentage questions: finding a percentage of an amount, expressing one number as a percentage of another, and finding the original value. **Why Teachers Love This Resource** * **No Prep Required:** Just print and go! It is ready to use immediately in your classroom. * **Full Worked Solutions:** Every worksheet comes with a step-by-step answer key, making it perfect for quick grading, self-marking, or peer assessment. * **Great for Differentiation:** Questions progress naturally from basic computation to challenging algebraic manipulation. **Target Key Stages & Curriculum Standards** This bundle is ideal for **Key Stage 3 (Years 7, 8, and 9) and Key Stage 4 / Foundation GCSE and iGCSE (Years 10 and 11).** **UK National Curriculum & GCSE Maths Aligned:** * **Ratio, Proportion and Rates of Change:** Understand and use proportion as an equality of ratios; solve problems involving percentage change, percentage increase/decrease, and original value problems. * **Algebra:** Solve linear equations in one variable, including those with the unknown on both sides and those involving fractional expressions.

£2.80

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