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11+ Maths Guide · Year 5–6 · Free course

Ratio & Proportion: The Complete Guide for Ages 9–11

Everything your child needs to master ratio and proportion — 10 short visual lessons from the 3 : 2 idea to the hardest share-and-difference puzzles. Each lesson takes about 3 minutes and comes with a printable cheat sheet.

⚖️ Why ratio matters

Ratio is the grammar of comparison — recipes, maps, prices, mixing paint. It's also the topic where 11+ papers hide their hardest marks, in share-and-difference puzzles.

🏫 What children learn in Year 6

Relative sizes, sharing in a ratio, scale factors, and unequal sharing problems — the England Year 6 ratio strand, extended to the puzzle styles selective exams use.

🎯 Built for 11+ preparation

Every lesson flags the traps — dividing by a ratio number instead of total parts, 3 : 2 read as 3/2, adding instead of scaling — in a ‘Watch Out!’ section.

The learning path

Work through the lessons in order — each one builds on the last.

1
What Is Ratio?
Understand ratio notation: 3 : 2 means 3 for every 2, and order matters.
2
Simplifying Ratios
Simplify ratios by dividing both parts.
3
Sharing in a Ratio
Share amounts in a ratio: total parts, value per part, multiply out, check.
4
Ratio and Fractions
Convert between ratios and fractions both ways.
5
Direct Proportion
Direct proportion made visual: double one, double the other, or go through 1.
6
Best Value
Compare deals with price-per-one: 4 pens for £2.40 vs 6 for £3.30 solved.
7
Scale Drawings and Maps
Use map scales and model ratios both ways: multiply to real life, divide back to the map.
8
Recipes and Scaling
Scale a recipe for 4 up to 6 or 10.
9
Ratio and Percentages
Convert ratio splits to percentages and back: 3 : 2 is 60% : 40%.
10
Ratio Problem Solving
Crack hard ratio puzzles where you're given one share or the difference.

Printable cheat sheets

One-page summaries of every method — print them and keep them by your child's desk.

📄 What Is Ratio?Printable cheat sheet (PDF)📄 Simplifying RatiosPrintable cheat sheet (PDF)📄 Sharing in a RatioPrintable cheat sheet (PDF)📄 Ratio and FractionsPrintable cheat sheet (PDF)📄 Direct ProportionPrintable cheat sheet (PDF)📄 Best ValuePrintable cheat sheet (PDF)📄 Scale Drawings and MapsPrintable cheat sheet (PDF)📄 Recipes and ScalingPrintable cheat sheet (PDF)📄 Ratio and PercentagesPrintable cheat sheet (PDF)📄 Ratio Problem SolvingPrintable cheat sheet (PDF)

Frequently asked questions

What order should my child learn ratio in?

Follow the numbered path: notation and simplifying first, then sharing and the fraction link, then proportion applications (value, scales, recipes), finishing with percentage links and puzzles.

What ages are these ratio lessons for?

Ages 9–11 (Year 6 in England), and squarely aimed at 11+ preparation — ratio is one of the most heavily-tested selective topics.

Are these lessons free?

Yes — all 10 lessons and printable cheat sheets are completely free. The MindBlaze app adds daily practice and rewards.

Which topics should come before ratio?

Fractions (especially fraction of an amount) and times-table fluency. Our free Fractions guide covers everything needed.

What is the single most useful ratio skill?

Finding the value of ONE part — every sharing, difference and best-value question routes through it.

🛡️ Curriculum aligned⭐ Builds confidence💜 Made for 9–13 year olds
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