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).