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).
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