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.

Differentiated question sets.

Write the Ratio of Objects

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Year 6 | Proportions Worksheets

These Year 6 worksheets on proportions engage pupils with a word problem related to making twelve muffins. The task involves examining a list of ingredients and filling in a table that challenges them to determine the correct proportions for scaling up and down. Learners will apply their multiplication and division skills to calculate the ingredients required for six, eight, and fifteen muffins.

This worksheet encourages critical thinking and mathematical reasoning as they work through the varying quantities needed for different muffin quantities.

Our Year 6 ratio and proportion worksheets are designed in alignment with the KS2 national curriculum. They can be combined with your ideas and primary teaching strategies for learning activities, homework, differentiation and lesson plans.

Check out our Year 6 percentages of amounts worksheets that you might find useful.

Explore the rest of our Year 6 maths worksheets .

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Y6 - Ratio and Proportion - Interactive Quiz

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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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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 .

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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Introduction to Ratio (Year 6)

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In this introduction to ratio, children will learn what a ratio is and how to simplify ratios. They can then work through some ratio word problems, with step-by-step workings and answers given on every slide.

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: Ratio and Proportion
• Topic Group: Ratio and Proportion
• Year(s): Year 6
• Media Type: PowerPoint
• Resource Type: PowerPoint
• Last Updated: 05/10/2022
• Resource Code: M2PAT112
• Curriculum Point(s): Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts.

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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.

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.

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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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1. Year 6 Ratio and Proportion Problems Spring Block 6 Maths Homework

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6. Ratio and Proportion

1. Ratio and Proportion KS2

Ratios are a way of splitting up amounts and keeping them in proportion. A ratio is written using a colon ( : ) between values. For example, 1:2 means that for every 1 of one thing, there are 2 of another. Ratios can be simplified to their simplest form by dividing both parts by the same number. For example, 3:9 can be simplified to 1:3.

2. Maths Ratio & Proportion Year 6

Maths Ratio & Proportion Year 6. Lesson objective: To solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts. In this lesson, students will be introduced to ratio and proportion and it will be explained that ratio shows the relative sizes of two or more ...

3. Year 6: Ratio and proportion

Year 6: Ratio and proportion Pupils should consolidate their understanding of ratio when comparing quantities, sizes and scale drawings by solving a variety of problems. ... This ITP shows two containers, holding different-coloured liquids, to model ratio and proportion. Each container has its own tap, which can be set to deliver liquid in ...

4. Ratio Problem Solving

This interactive PDF is the perfect resource to use when teaching children about ratio problem solving and testing their knowledge of ratio and proportion. Your class will learn to interpret and solve a variety of ratio and proportion problems in a number of relevant and real-world contexts, such as scaling recipes up and down. This resource supports the year 6 White Rose Maths small step ...

5. 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.

6. Year 6

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 ...

7. Ratio and Proportion Year 6

The ratio questions include working out the ratios of different animals at a zoo and finishing a sequence of ratios while the proportion questions involve working out who saved the largest proportion of pocket money. Some students struggle with ratio and proportion in Year 6, but questions on the topic frequently arise in the SATs reasoning ...

8. Year 6

Our Year 6 ratio and proportion worksheets are designed in alignment with the KS2 national curriculum. They can be combined with your ideas and primary teaching strategies for learning activities, homework, differentiation and lesson plans. Check out our Year 6 ratio word problems worksheets that you might find useful.

9. Ready-to-go Lessons Year 6 Ratio

This ratio Ready-to-go lessons pack for Year 6 includes 10 PowerPoints with matching worksheets ready for you to use with a class. These resources follow a mastery approach to mathematics teaching. The PowerPoints are fully editable with detailed notes for every teaching slide. Each associated worksheet is divided into three parts with a range of activities to complete across the learning area ...

10. Ratio

Gary Lineker from Match of the Day challenges you to answer two questions about ratios. Play Guardians maths game! Year 6 KS2 Maths Ratio learning resources for adults, children, parents and teachers.

11. 20 Year 6 Ratio Questions And Answers

Answer: No. A scale factor of 4 means each side is multiplied by 4. For example, if a square with sides of 1cm was 4 times bigger, the area would go from 1cm² to 4cm². If each side was 4 times bigger, the square would have an area of 16cm². Year 6 ratio question 12. Draw a rectangle 4cm × 6cm.

12. Year 6

Our Year 6 ratio and proportion worksheets are designed in alignment with the KS2 national curriculum. They can be combined with your ideas and primary teaching strategies for learning activities, homework, differentiation and lesson plans. Check out our Year 6 percentages of amounts worksheets that you might find useful.

13. Introduction to Ratios Lesson Pack

Ratio and Proportion - Year 6 National Curriculum . Ratio and proportion is a key topic in UKS2 Maths that features on the Year 6 SATs exams. By the end of Year 6, students should be able to answer a variety of questions using their knowledge of ratio and proportion such as: solving problems that include unequal sharing and grouping

14. Y6

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 ...

15. PDF Maths Assessment Year 6: Ratio and Proportion

Maths Assessment Year 6: Ratio and Proportion Name: Date: Total for this page 2 1 mark 1 mark 1 mark 1 mark 4 marks 1. Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts. a) One ticket to a local football match costs £5.50.

16. 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.

17. Introduction to Ratio (Year 6)

Introduction to Ratio (Year 6) In this introduction to ratio, children will learn what a ratio is and how to simplify ratios. They can then work through some ratio word problems, with step-by-step workings and answers given on every slide. Curriculum Point (s): Solve problems involving the relative sizes of two quantities where missing values ...

18. Ratio and Proportionality Explanation and Worksheet

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.

19. Ratio & Proportion: Homework Worksheets

Age range: 11-14. Resource type: Worksheet/Activity. File previews. docx, 35.8 KB. docx, 18.31 KB. KS3 / GCSE ratio and proportion worksheets ideal for revision or homework. There is a self-assessment section at the end of each worksheet. Tes classic free licence. to let us know if it violates our terms and conditions.

20. Year 6 Ratio and Proportion: A Step-by-Step Guide for Parents

Find out what your child will learn about ratio and proportion in their year 6 maths lessons and discover how you can support them at home with this useful step-by-step guide, written by teachers especially for parents. There are some definitions of key terminology, an explanation of what your child will cover in school and plenty of ideas to inspire you. Whether they have just been introduced ...

21. Ratio Practice Questions

The Corbettmaths Practice Questions on Ratio. Previous: Percentages of an Amount (Non Calculator) Practice Questions