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Year 6 – Ratio and Proportion

Welcome to Year 6 Ratio and Proportion at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support ratio and proporation lessons in Year 6 and at home.  

If there’s a resource you’d like to see here, just visit our ‘Request a Resource’ page and Primary Maths Hub will create the resource and add it to the site.

Do Now Tasks / Starters

Differentiated question sets.

Calculating 1-Step Percentages Question Set

Calculating Multiples of 10- Percentages Question Set

Calculating Other Percentages Question Set

Decreasing by Percentage Question Set

Increasing by Percentage Question Set

Strips- Using Ratio

Colour the Circles in a Given Ratio

Scaling Recipes- 2, 3, 4, 5, 10 Times Tables

Sharing Known Amount in Ratio

Sharing Unknown Amount in Ratio

Write the Ratio of Objects

Faded Scaffolding Strips- Finding 10

Faded Scaffolding Strips- Finding 25

Faded Scaffolding Strips- Finding 50

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Ratio and proportion worksheets year 6.

Download this FREE Ratio and Proportion pack for Year 6 pupils, from our Independent Recap collection. 

This pack focuses on introducing ratio and scale factors, as well as how they are both calculated. Each worksheet includes:

• 4 arithmetic questions for fluency practice.
• 9 consolidation questions.
• 1 challenge question to stretch and extend.
• They are intended to provide opportunities for pupils to independently practise what they’ve been learning, especially when parents aren’t able to support directly or where pupils don’t have access to the tools to complete online learning.

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Year 6 | Ratio Worksheets

These Year 6 ratio worksheets guide children in colouring a row of t-shirts, choosing between yellow or blue, following a 3:1 ratio. Pupils will then simplify a set of ratios. Afterwards, the class is presented with twelve blank playing cards. They are tasked with drawing all cards as either diamonds or spades, making their own decisions on the quantity of each. Subsequent questions are posed based on the ratio of diamonds to spades in the drawn cards.

By colouring t-shirts in a specific ratio, children will gain a concrete understanding of the ratio concept and how it represents the relationship between quantities. Interactive activities like colouring and drawing keep learners engaged and make learning ratios more enjoyable with these Year 6 ratio worksheets.

Our Year 6 ratio worksheets are aligned with ratio and proportion on the primary national curriculum. All of our Year 6 ratio worksheets can be combined with your ideas for primary maths activities, learning resources, teaching material, visual aids, games, differentiation, display boards, homework, and lesson plans.

Check out our Year 6 Ratio Word Problems Worksheets that you might find useful.

Explore the rest of our Year 6 maths worksheets .

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Year 1 | Direction Problems Worksheets

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Ratio and Proportion Worksheet

Welcome to our Ratio and Proportion worksheet page. Here you will find our range of 6th Grade worksheets which will help your child learn about ratios and proportions in a practical context.

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Ratio and Proportion Worksheets

Our ratio and proportion worksheets have all been designed to use pictures and practical contexts to support understanding.

The sheets have been put in order of difficulty, with the easiest first.

Each problem sheet comes complete with an answer sheet.

There are two sections to our worksheets:

• the first section involves using the image to work out the ratios and proportions involved.
• the second section involves coloring in the objects to show the required ratio, and working out the proportion of one object to the whole set.

Using these sheets will help your child to:

• learn about how ratio works;
• write and use ratios in their lowest terms;
• understand what proportion is and learn to show proportion in simplest form.

Want to test yourself to see how well you have understood this skill?.

• Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

• How do Ratio and Proportion Work?

Find the Ratio and Proportion Worksheets

Ratio and proportion color in worksheets.

• More related resources

Ratio and Proportion Online Quiz

How do ratio and proportion work, how to work out ratios and proportions.

When we look at ratios, we are usually looking at the relationship of one object compared to another.

When we are looking at proportions, we are looking at one object compared to the whole set of objects.

Proportions are usually written as fractions.

Let's have a look at the example below:

There are 3 orange fish and 2 blue fish, so the ratio of orange fish to blue fish is 3:2.

There are 3 orange fish out of 5 fish, so the proportion of orange fish is 3 ⁄ 5 .

There are 2 blue fish out of 5 fish, so the proportion of blue fish is 2 ⁄ 5 .

What does lowest term ratio mean?

Just like fractions, ratios can be simplified.

We can simplify ratios by finding common factors of the numbers involved and dividing them all by the common factors.

The ratios are in lowest terms (or simplest form) when there are no more common factors except 1.

Look at the example below:

The ratio of yellow snails to red snails is 2 to 4 or 2 : 4.

Because these two numbers have a common factor of 2, they can both be divided by 2 to give a simpler ratio.

So 2 : 4 = 1 : 2

There are now no common factors apart from 1, so we cannot simplify the ratio further.

So the ratio of yellow snails to red snails in lowest terms is 1 : 2.

This means that there 1 yellow snail for every 2 red snails.

How can we simply the proportion?

The proportion is usually written as a fraction.

We can simplify the proportion by writing the fraction in simplest form.

Look at the snail example again:

There are 2 yellow snails and 4 red snails, so 2 out of 6 snails are yellow and 4 out of 6 snails are red.

The proportion of yellow snails is 2 ⁄ 6 . This can be simplified to 1 ⁄ 3 .

The proportion of red snails is 4 ⁄ 6 . This can be simplified to 2 ⁄ 3 .

Sheets 1 to 3 involve finding simple ratios and proportions with no need to convert to lowest terms. They are great as an introduction to ratio and proportion.

Sheets 4 and 5 involve recording ratios and proportions in lowest terms.

Sheet 6 involves recording ratios and proportions in lowest terms to 3 different objects. It is the hardest sheet.

• Ratio and Proportion Sheet 1
• PDF version
• Ratio and Proportion Sheet 2
• Ratio and Proportion Sheet 3
• Ratio and Proportion Sheet 4
• Ratio and Proportion Sheet 5
• Ratio and Proportion Sheet 6

These sheets involve coloring the objects according to the given ratios and working out the proportions.

Sheet 1 involves coloring in objects and recording numbers of objects where the ratios match the total number of objects.

Sheet 2 is similar to Sheet 1, but the number of objects is sometimes a multiple of the ratios.

Sheet 3 involves coloring 3 different objects and working out each of the 3 proportions according to the given ratios.

• Ratio and Proportion Color In Sheet 1
• Ratio and Proportion Color In Sheet 2
• Ratio and Proportion Color In Sheet 3

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More Ratio & Unit Rate Worksheets

We have a selection of other ratio worksheets, which involve only ratio questions.

We also have a collection of ratio word problem worksheets.

• Ratio Part to Part Worksheets
• Unit Rate Problems 6th Grade

5th Grade Percentage Worksheets

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Percentage of Numbers Worksheets
• Money Percentage Worksheets
• Percentage Word Problems

Related Fraction Worksheets

• Fractions Decimals Percents Worksheets
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• Free Printable Fraction Riddles (harder)

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They may then be asked to estimate the percentage of the mixture that is sultanas, for instance.

Solve problems involving shapes and a scale factor

Your child will solve problems involving ‘similar shapes’ . These are shapes with the same proportions that are not necessarily in the same orientation or the same size. For example:

In this instance, your child might only be given the value of one of the sides of the larger shape. They may then be asked to figure out the value of the other two sides.

Your child will be expected to solve problems where the scale factor  between two shapes is known or can be found. Scale factor means the amount by which you increase the size of the shape. For example, in the picture above there is a scale factor of 2, which you can work out by comparing the lengths of the sides.

Solve ratio problems involving unequal sharing and grouping

Your child will use their knowledge of fractions , division , and multiplication to solve unequal sharing or grouping problems. They may be asked to solve problems such as:

Lisa and Stephanie share £360. Lisa gets £40 more than Stephanie. How much does Stephanie get?   One way to solve this is to halve £360 to get £180, halve £40 to get £20, and then add them together to get Lisa’s cut of the money, £200. This leaves Stephanie with £160 .

Find possibile combinations of two variables in an equation

Your child will be able to find numerical solutions to equations where two of the values are unknown.

For example, your child should be able to find the values of a and b that make this equation correct: 2 a + b = 28. Children will use trial and error to explore different possibilities :

In the equation 2 a  +  b  = 28, you may take the value of  a  to be 4. If  a  = 4, then 2 a  = 8. So, 8 +  b  = 28. Therefore,  b  = 28 – 8. So,  b  = 20.

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Y6 - Ratio and Proportion - Interactive Quiz

Related worksheets.

An interactive quiz which test your understanding of all the Ratio and proportion objectives in the Year 6 curriculum.

Alternatively, you can use the  Interactive Maths Quiz  which includes objectives from all strands of the Year 6 curriculum.

This quiz tests the following objectives:

• solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts
• solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison
• solve problems involving similar shapes where the scale factor is known or can be found
• solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

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Year 6 Proportion and ratio worksheets

Free worksheets: proportion and ratio, ks2, y6.

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Calculating ratios

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Ratio potion problems

Recognise equivalent proportions

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Unit 1: Ratios

About this unit.

Ratios let us see how two values relate, especially when the values grow or shrink together. From baking recipes to sports, these concepts find their way into our lives on a daily basis.

Intro to ratios

• Intro to ratios (Opens a modal)
• Basic ratios (Opens a modal)
• Part:whole ratios (Opens a modal)
• Ratio review (Opens a modal)
• Basic ratios Get 5 of 7 questions to level up!

Visualize equivalent ratios

• Ratios with tape diagrams (Opens a modal)
• Ratios with tape diagrams (part:whole) (Opens a modal)
• Equivalent ratio word problems (Opens a modal)
• Simplify a ratio from a tape diagram (Opens a modal)
• Ratios and double number lines (Opens a modal)
• Ratios with tape diagrams Get 3 of 4 questions to level up!
• Equivalent ratios with equal groups Get 3 of 4 questions to level up!
• Create double number lines Get 3 of 4 questions to level up!
• Ratios with double number lines Get 3 of 4 questions to level up!
• Relate double number lines and ratio tables Get 3 of 4 questions to level up!

Equivalent ratios

• Ratio tables (Opens a modal)
• Solving ratio problems with tables (Opens a modal)
• Equivalent ratios (Opens a modal)
• Equivalent ratios: recipe (Opens a modal)
• Understanding equivalent ratios (Opens a modal)
• Interpreting unequal ratios (Opens a modal)
• Ratio tables Get 3 of 4 questions to level up!
• Equivalent ratios Get 3 of 4 questions to level up!
• Equivalent ratio word problems Get 3 of 4 questions to level up!
• Equivalent ratios in the real world Get 3 of 4 questions to level up!
• Understand equivalent ratios in the real world Get 3 of 4 questions to level up!

Ratio application

• Ratios on coordinate plane (Opens a modal)
• Ratios and measurement (Opens a modal)
• Part to whole ratio word problem using tables (Opens a modal)
• Ratios FAQ (Opens a modal)
• Ratios on coordinate plane Get 3 of 4 questions to level up!
• Ratios and units of measurement Get 3 of 4 questions to level up!
• Part-part-whole ratios Get 3 of 4 questions to level up!

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Ratio and Proportion Problems Homework Extension Year 6 Ratio

Step 7: Ratio and Proportion Problems Homework Extension Year 6 Spring Block 6

Year 6 Ratio and Proportion Problems Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 6 Ratio and Proportion Problems Resource Pack . These are differentiated for Developing, Expected and Greater Depth.

More resources for Spring Block 6 Step 7 .

Not a member? Sign up here.

What's included in the pack?

This pack includes:

• Ratio and Proportion Problems Homework Extension with answers for Year 6 Spring Block 6.

National Curriculum Objectives

Mathematics Year 6: (6R1)  Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts

Mathematics Year 6: (6R2)  Solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison

Mathematics Year 6: (6R3)  Solve problems involving similar shapes where the scale factor is known or can be found

Mathematics Year 6: (6R4)  Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

Differentiation:

Questions 1, 4 and 7 (Varied Fluency) Developing Match ratio problems to a bar model. Using 2 objects, where scale factors are 2, 5 or 10. Expected Match ratio problems to a bar model. Using 2 or 3 objects, where scale factors may be whole numbers or involve halves. Numbers are direct multiples or factors of the original values. Greater Depth Match ratio problems to a bar model. Using 3 objects, where scale factors may be whole numbers or involve halves. Numbers are not always direct multiples or factors of the original values.

Questions 2, 5 and 8 (Varied Fluency) Developing Calculate ingredients needed to make different quantities. Using 2 objects, where scale factors are 2, 5 or 10. Expected Calculate ingredients needed to make different quantities. Using 2 or 3 objects, where scale factors may be whole numbers or involve halves. Numbers are direct multiples or factors of the original values. Greater Depth Calculate ingredients needed to make different quantities. Using 3 objects, where scale factors may be whole numbers or involve halves. Numbers are not always direct multiples or factors of the original values.

Questions 3, 6 and 9 ( Reasoning and Problem Solving ) Developing Use understanding of ratio and proportion to find the best deal. Using 2 objects, where scale factors are 2, 5 or 10. Expected Use understanding of ratio and proportion to find the best deal. Using 2 or 3 objects, where scale factors may be whole numbers or involve halves. Numbers are direct multiples or factors of the original values. Greater Depth Use understanding of ratio and proportion to find the best deal. Using 3 objects, where scale factors may be whole numbers or involve halves. Numbers are not always direct multiples or factors of the original values.

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Ratios Worksheet and Explanation

We’ve structured this information to help children with their education. It is targeted at children in years 5 and 6 and the questions for the worksheet have been stripped from past papers. Having an understanding of ratios is part of the primary school curriculum and children will deal with ratios in both KS1 and KS2.

The Information below will give an overview of the topic and we have included a detailed worksheet with full answers. The worksheet includes 18 ratio questions and is relevant for KS2 pupils approaching their SATS test.

Download Free Ratios Worksheet – Questions

Download free ratios worksheet – answers.

If you are not ready to download the worksheets yet, then read on for some information about ratios. This has provided to introduce the topics covered in the worksheet for those that might be unfamiliar but also as a quick revision tool for those that would like a quick refresher before accessing the worksheet.

Ratios Explanation

Ratio explained.

Ratio is an expression of values in reference to one another. This tells us how much of one thing we have compared to another thing. An example of this would be if I had 4 blue counters and 6 pink counters the ratio of pink counters to blue counters is 4:6. This can be simplified to 2:3.

Ratio is often expressed in the form a:b. It is important that this is not rearranged as b:a, in this case, would change the ratio of one thing to another. When writing a ratio it is important that we describe what a is and what b is otherwise things can become confusing.

Proportion Explained

Proportion tells us how a value relates to a whole. For example, if I have 36 cards out of a deck of 52 cards, then my proportion is a half. This relates to ratio as a ratio expressed in the form a:b tell us the proportion of a or b since a + b equals the whole amount.

Where We Use Ratio and Proportion

We use ratios every day in the form of currency exchange (how much £1 is worth in euros for example), maps (through the use of a scale, 1cm:1km) and cooking (the ratio of ingredients in a recipe). We also use the language of ratio often without thinking about: twice of that, half of this, the total of those, scale that up etc.

Ratio in KS2

Similarly, with many other subjects in maths, ratio builds on many of the other fundamentals learnt across the course. In this case, we can convert between ratios and decimals, fractions and percentages through turning a ratio into a proportion of a whole and therefore a percentage. It is therefore important that children understand their fundamentals and conversion between decimals, percentages and fractions. Ratio is a topic only covered at the end of KS2 in the current curriculum.

Please feel free to download the ratios worksheet and answers. No registration is necessary.

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Additionally, after a revenue slump in fiscal 2023, Qualcomm has finally begun to rebound. In the first six months of fiscal 2024 (ended March 24), revenue of $19 billion rose 3% compared with the same period in the previous year.

Also, total costs and expenses fell 1%, leading to a net income of $5.1 billion in the first half of the fiscal year. That represents a 29% increase from year-ago levels. Also, since Qualcomm forecasts $9.2 billion in revenue at the midpoint in fiscal Q3, its revenue growth rate could reach double digits in the next quarter.

Investors have paid increased attention, as the semiconductor stock has risen by approximately 80% over the last year. That took its P/E ratio to around 28, its highest level in over three years.

Nonetheless, assuming double-digit revenue growth returns, rising profits should reduce the impact of its rising valuation. Ultimately, improving financials, coupled with Qualcomm's increasing importance in the AI space, should solidify its stock as a profitable long-term holding.

3. Meta Platforms: AI is complementary

Justin Pope (Meta Platforms): While searching for the ultimate buy-and-hold AI stock, Meta Platforms kept rising to the top of my list. The pitch for Meta stock is simple but effective. The company is already a clear technology juggernaut today. It makes money on digital ads served to its 3.24 billion daily active users across its social media apps: Facebook, Instagram, WhatsApp, and Threads.

It's a lucrative business; Meta converts a robust 35% of its revenue into free cash flow and earns an impressive 29% return on the capital it invests in the business.

Meta still offers plenty of growth despite its $1.3 trillion market cap. Analysts believe the company will grow earnings by an average of 18% annually over the long term. AI could play a big role in that. Meta has unleashed AI to improve its advertising business and boost profits.

Additionally, the company has invested heavily in AI infrastructure, spending billions of dollars to develop and run generative AI models.

The great thing about Meta is that AI won't make or break the stock. AI could unlock the growth needed for Meta to remain a long-term market-beater, but it was already a great business before AI. Meta's CEO and co-founder, Mark Zuckerberg, is still in charge, and he's just 40 years old. You can buy and hold Meta, knowing the company is in good hands for the foreseeable future.

Lastly, the stock remains attractive at a P/E ratio of 26 times earnings, a very reasonable price for a business growing earnings by 18% annually. Many other AI stocks have gotten too expensive, meaning Meta could perform much better if it realizes its AI potential.

This ultimately makes Meta a no-brainer AI stock investors should buy and hold tight.

Randi Zuckerberg, a former director of market development and spokeswoman for Facebook and sister to Meta Platforms CEO Mark Zuckerberg, is a member of The Motley Fool's board of directors. John Mackey, former CEO of Whole Foods Market, an Amazon subsidiary, is a member of The Motley Fool’s board of directors. Jake Lerch has positions in Amazon and Nvidia. Justin Pope has no position in any of the stocks mentioned. Will Healy has positions in Qualcomm. The Motley Fool has positions in and recommends Amazon, Apple, Meta Platforms, Microsoft, Nvidia, and Qualcomm. The Motley Fool recommends the following options: long January 2026 $395 calls on Microsoft and short January 2026 $405 calls on Microsoft. The Motley Fool has a disclosure policy .

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Ratio & Proportion: Homework Worksheets

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

12 October 2013

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