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Last updated

23 July 2026

pdf, 92.43 KB
pdf, 92.43 KB

A worksheet on ratio and proportion and percentages. The exercises require to solve given proportions (easy and harder), solve word problems involving ratios, solve word problems where an amount is divided in a given ratio, find the percentage of an amount and work with percentage increases, percentage decreases and reverse percentage. Detailed solutions are included.

Master real-world problem-solving with this comprehensive Ratio, Proportion and Percentages Word Problems worksheet. Perfect for Key Stage 3 and Key Stage 4 maths revision, homework, or exam prep covering simultaneous ratios, tax, and algebraic cross-multiplication.

Take your students’ proportional reasoning to the next level with this ready-to-print Ratio, Proportion & Percentages Word Problems Worksheet! Moving far past basic calculations, this resource provides a perfectly scaffolded bridge between algebraic equations and real-world consumer financial modeling. This 10-page PDF download features 2 clean pages of student practice questions (10 comprehensive, multi-part questions total) and 8 pages of beautifully worked teacher solutions showing every single algebraic step.

What’s Included in This 10-Page Pack?
• Algebraic Proportions (Q1–Q2): Practice cross-multiplying equations containing monomials, binomials, and variable distributions.
• Difference Ratio Scenarios (Q3): Real-world ratio word problems where students solve for unknown values based on a given difference metric.
• Consumer Maths Discounts & Tax (Q4, Q6): Retail modeling tasks finding markdown values and reverse-calculating original costs excluding a 19% sales tax.
• Percent Change (Q5): Fluency practice tracking year-over-year student enrollment variations to compute exact percentage movements.
• Multi-Step Financial Literacy (Q7–Q8): Advanced challenges tracking compounding factors like base investments, repair costs, and target profit percentages.
• Three-Part Ratio Sharing (Q9–Q10): High-rigour capstone problems partitioning corporate bonuses and donations proportionally based on workdays and family metrics.
• Full Step-by-Step Solutions: Every single question features its full formula layout, distribution pathways, constant isolations, and final numerical totals to support independent student self-assessment or quick marking!

Perfect For:
• Key Stage 3 (KS3) and Key Stage 4 (KS4) Maths mastery
• Rigorous homework assignments, in-class review, or targeted revision sheets
• Core GCSE foundation and higher tier preparation, exit tickets, and formative assessments
• Hassle-free emergency cover lesson plans (simply print and hand out!)

File Information:
• Format: High-quality, print-ready PDF document (10 pages including fully worked answers).

Get this resource as part of a bundle and save up to 35%

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

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Ratios, Proportions & Percentages Bundle | 6th 7th 8th Grade Math Worksheets

A collection of three worksheets on ratio and proportion and percentages. The exercises require to simplify fractions, calculate a percentage of an amount, the percentage increase and decrease of an amount, increase or decrease an amount by a given percentage using a table, solve given proportions (easy and harder), solve word problems involving ratios, solve word problems where an amount is divided in a given ratio, find the percentage of an amount and work with percentage increases, percentage decreases and reverse percentage. Detailed solutions are included. Master ratio, proportion and percentages with this comprehensive 32-page worksheet pack. Perfect for KS3 and KS4 maths revision, homework or GCSE exam prep. ________________________________________ Take the stress out of your unit planning with this ready-to-print Ratio, Proportion and Percentages Worksheet Bundle! Carefully scaffolded across 32 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, page-for-page teacher answer keys showing every single cross-multiplication and arithmetic step. **What's Included in This 32-Page Pack?** • **Worksheet 1: Ratio, Proportion and Percentages Word Problems** (Pages 1-10) o Solving linear and binomial proportions via cross-multiplication (e.g., 2/(x+1) = 3/(x+2)). o Recipe word problems, price adjustments and percentage change. o Consumer maths reverse sales tax calculations (19% VAT formulas). o Compound business financial problems tracking costs, repairs and profit percentages. o Multi-part ratio sharing for corporate bonuses and family donations. • **Worksheet 2: Simplifying and Sharing Ratios** (Pages 11-17) o Core fluency practice simplifying large integer ratios. o Dividing total amounts into given two-part ratio distributions. o Word problems tracking shared cash totals, clothes shopping and class fractions. o Scenarios with "how much more", age differences and "fewer than" constraints. • **Worksheet 3: Percentages Mastery** (Pages 18-23) o Finding specific fractional percentages of integer quantities. o Calculating the exact percentage increase or decrease between numbers. o Practice scaling amounts up or down by given percentage criteria. **Perfect For:** • Key Stage 3 (KS3) and Key Stage 4 (KS4) Maths mastery lessons • Comprehensive homework booklets, independent booklets or revision packs • Core 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 (32 pages including fully worked grid answers). ________________________________________

£3.50

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