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Last updated

24 July 2026

A worksheet on simplifying ratios and dividing an amount in a given ratio. Detailed solutions are includes. Good for GCSE/ IGCSE students.

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6th 7th Grade Ratios, Percentages & Cross Multiplication Worksheets

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). ________________________________________

£3.20

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Ratios Bundle: Simplifying, Dividing Quantities & Word Problems

Three worksheets on converting ratios to fractions, writing and simplifying ratios, dividing amounts in a given ratio and solving problems with ratios. Detailed solutions are included. Master essential ratio skills with this comprehensive maths worksheet bundle. Perfect for Key Stage 3 (KS3) and GCSE Maths revision, these practice packs build complete confidence in simplifying ratios, sharing amounts, and solving multi-step word problems. Full teacher worked solutions are included! ________________________________________ Stop spending hours formatting complex ratio revision sheets. This comprehensive Ratios Bundle: Simplifying, Dividing Quantities & Word Problems is designed to build complete mastery. It moves students seamlessly from basic ratio matching to high-rigour, multi-step geometric and algebraic word problems. Perfect for introducing core ratio facts at Key Stage 3 or as a comprehensive revision packet for Key Stage 4 GCSE Foundation and Higher tiers. **What is Included in this Pack?** • **Simplifying Ratios:** Visual exercises to help students master reducing numerical ratios into their simplest forms. • **Sharing and Dividing Amounts:** Step-by-step math tasks for splitting money (£/$), weights (kg/g), and time into 2-part and 3-part ratios. • **Real-World Word Problems:** Scaffolded worksheets covering classroom demographics, recipe ingredient scaling, populations, and part-to-whole fractions. • **Detailed Step-by-Step Worked Solutions:** Comprehensive answer sheets showing every single stage of the calculation—perfect for cover work, busy teachers, or student self-assessment. **Key Skills & Concepts Covered** • **Introductory Ratios:** Understanding part-to-part relationships and expressing ratio shares as fractions. • **Ratio Operations:** Working with ratios involving scaling factors, recipe metrics, and missing unknown values. • **Advanced Application:** Comparing town population variables and calculating exact differences between shared items (e.g., "how much more did Oliver get?"). **Ideal For:** • Independent classroom practice worksheets or homework booklets. • Targeted GCSE Maths exam revision and diagnostic intervention. • Ready-made, no-prep cover lessons or math revision stations. ________________________________________

£3.40

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5 Worksheets on ratios (with solutions)

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.

£4.20

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GCSE 9-1 Ratio and Proportion Bundle

A collection of 5 worksheets on ratio and proportion based on the GCSE 9-1 specification. The following worksheet are included: * Introduction to ratios: converting ratios to fractions, writing and simplifying ratios * Simplifying ratios * Ratios: simplifying ratios and dividing an amount in a given ratio * Dividing amounts in a given ratio * Direct proportion: calculating the constant of proportionality using the given information and then use the resulting equation to calculate the value of the one of the two variables given the value of the other Detailed solutions are included.

£3.90

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8 GCSE/IGCSE worksheets (with solutions)

8 GCSE/IGCSE worksheets on the following topics: linear equations, quadratic equations, sets, percentages, fractions and decimals, mode, median and mean, quartiles and interquartile range, rationalising the denominator and ratios. Solutions are included.

£7.90

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