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Ratios worksheet no 3 (with solutions)

Ratios worksheet no 3 (with solutions)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

26 July 2026

pdf, 65.61 KB
pdf, 65.61 KB

A worksheet on writing the ratio of two amounts. Good introduction to the concept of ratios. Solutions are included.

Get this resource as part of a bundle and save up to 41%

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

Bundle

Intro to Ratios and Ratio Word Problems Bundle | 6th and 7th Grade Math

Five worksheets on ratios including exercises on writing and simplifying ratios, expressing ratios as fractions and dividing and amount in a given ratio. Detailed solutions are provided. Master ratios and ratio word problems with this comprehensive 5-level practice bundle. Perfectly aligned with the UK National Curriculum for KS3 (Years 7, 8 and 9), this differentiated maths pack confidently guides students from basic part-to-part simplifying to complex sharing quantities. ________________________________________ Are you looking for a high-quality, time-saving resource to teach, reinforce, or review ratios and proportions? This complete 5-worksheet maths bundle is sequentially designed to build student confidence, mathematical fluency, and complete mastery over ratio concepts. Featuring a structured progression across key skills, this resource makes classroom differentiation effortless for secondary school maths teachers working with mixed-ability groups. **What is Included in This Bumper Pack?** This download contains five separate practice worksheets, structured progressively to scaffold learning: • **Worksheet 1 (Foundational Ratios):** Focuses on basic ratio identification, understanding part-to-part and part-to-whole relationships, and connecting ratios to percentages. • **Worksheet 2 (Simplifying Ratios):** Builds fluency by requiring students to simplify standard numerical ratios and extract and simplify ratios from physical recipe ingredients. • **Worksheet 3 (Sharing in a Given Ratio):** Guides students through the complete process of dividing money, weights, and time across both 2-part and 3-part ratios. • **Worksheet 4 (Ratio Word Problems):** Challenges students with missing quantities, age comparisons, geometry context, and real-world worded scenarios. • **Worksheet 5 (Advanced Word Problems & Scaling):** Pushes student understanding further with problem-solving questions involving variable changes, scaling recipe ingredients, and population ratios. • **Full Teacher Solutions:** Complete, step-by-step written answers are provided for every single question 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 ratio and proportion units. • Target math intervention, catch-up work, or small-group revision sessions. • Cover lessons, low-stakes quizzes, or end-of-term exam preparation. **National Curriculum Alignment** This resource perfectly covers the fluency and reasoning proficiency requirements for Key Stage 3 Mathematics, matching core objectives within the GCSE Foundation Mathematics specifications: • **KS3 Maths:** Divide a quantity into a given ratio, express the division of a quantity as a fraction, and solve problems involving direct proportion.

£4.20
Bundle

Ratios & Proportions Bundle | 7th 8th Grade Math Word Problems & Algebra Sheets

Three worksheets on ratio and proportion. The exercises require to write ratios to compare quantities, to simplify ratios, to form proportions by completing missing terms or by using given ratios, solve word problems involving ratios, solve given proportions (easy and harder), divide certain amounts in a given ratio and solve word problems where an amount is divided in a given ratio. Detailed solutions are included. Master proportional reasoning and fractional equations with this comprehensive Ratio and Proportion worksheet pack. Perfect for Key Stage 3 and Key Stage 4 maths revision, homework, or exam prep covering simultaneous ratios and algebraic cross-multiplication. ________________________________________ Take the stress out of your whole unit planning with this ready-to-print Ratio and Proportion Worksheet Bundle! Carefully scaffolded across 21 total pages, this collection moves students fluidly from introductory ratio mapping to advanced algebraic equations. This premium PDF download contains 3 standalone multi-page student worksheets paired with complete, fully worked teacher answer keys showing every single cross-multiplication and division step. **What's Included in This 21-Page Unit Pack?** • **Worksheet 1: Introduction to Ratios (Pages 1-6)** o Writing part-to-part and part-to-whole ratios from context. o Converting ratios to simplified fractions and identifying parts. o Solving real-world sharing scenarios, animal distributions, and age calculations. • **Worksheet 2: Ratio, Proportion & Geometry (Pages 7-11)** o Identifying recipe component constraints (the cake scaling task). o Fluency practice simplifying large numerical ratios into their simplest forms. o Integrating ratios into geometry (finding perimeter and area scale properties of shapes). o Comparative performance word problems (evaluating test fractions and sports team win records). • **Worksheet 3: Solving Algebraic Proportions (Pages 12-21)** o Basic cross-multiplication fluency equations to isolate missing numbers. o Advanced algebraic proportions involving brackets, expansion, variables in the denominator, and multi-step isolation (such as solving 3/x = 4/(x+3)). **Perfect For:** • Key Stage 3 (KS3) and Key Stage 4 (KS4) Maths mastery • Comprehensive homework booklets, independent practice, or revision packs • Targeted GCSE foundation and higher tier preparation and mock reviews • Hassle-free emergency cover lesson plans (simply print and hand out!) **File Information:** • Format: High-quality, print-ready PDF document (21 pages including fully worked answers). ________________________________________

£3.00

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