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Last updated

24 July 2026

A collection of three worksheets on the following:

  • Simplifying ratios, solving introductory word problems with ratios and dividing an amount in a given ratio.
  • Solving linear equations (proportions) by cross multiplication.
  • Solving percentage word problems which are solved using a ratio table. The exercises require to find the percentage of an amount, express a quantity as a percentage of another quantity and work with percentage increases, percentage decreases and reverse percentage.
    Detailed solutions are included.

Master ratios, proportions, and percentages with this comprehensive Key Stage 3 math independent work booklet! Designed perfectly for Year 7 and Year 8 students, these structured worksheets guide learners through simplifying ratios, solving fractional equations using cross multiplication, and calculating percentages using ratio tables.

Looking for a reliable, no-prep resource to help your students master proportional reasoning and arithmetic? This comprehensive worksheet pack is designed to build a deep structural understanding of KS3 ratio and percentage concepts through clear, scaffolded practice.
Whether your students are just learning to simplify basic ratios or are tackling multi-step fractional equations by cross-multiplying, these resources provide the scaffolded practice they need to succeed independently.

What’s Included in This Resource?
• Ratios & Proportions Practice: Core drills on writing ratios in simplest form, calculating fractions of amounts from given ratios, and solving practical word problems.
• Solving Equations by Cross Multiplication: Scaffolded worksheets teaching students how to set up equivalent fractions, cross-multiply safely, and solve for an unknown variable (x).
• Percentages Using a Ratio Table: Structured part-to-whole grid templates that help students visually map out and solve percentage problems, including finding the percentage of an amount, percentage increase, and percentage decrease.
• Complete Solutions Provided: Step-by-step printed answers for every single calculation, making grading rapid or allowing for quick student self-checking.

Perfect For:
• Independent Classwork and Deskwork
• Homework or Flipping the Classroom
• Maths Intervention, Catch-up Groups, or Revision Tuition
• Formal Assessment Preparation
• Emergency Cover Work / Cover Lessons

Curriculum Alignment:
• UK National Curriculum: Fits perfectly into the KS3 Proportional Reasoning and Number framework (Year 7 and Year 8).

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