reasoning and problem solving fractions year 4

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Free Year 4 Maths Worksheets And Homework – Download, Print, Or View Online

Anantha Anilkumar

Here you’ll find all our free Year 4 maths worksheets and Year 4 maths tests, many of which are suitable for homework as well as classroom teaching.

You can use these resources and workbooks as you like; most of the KS2 maths worksheets come in pdf format and all of them are printable if you want to give children something physical to work with. But they can also be downloaded and kept, or viewed online, if you prefer to keep things electronic. 

To supplement these we also have a range of maths activities , lesson plans and powerpoints for classroom teaching which are available from our White Rose maths  page.

Many of these worksheets and maths tests are aimed at helping children improve their number work – we have mental maths practice work, place value worksheets , addition and subtraction worksheets , multiplication & division worksheets etc.

All our maths worksheets and tests come with answer sheets too, including advice from the National Curriculum (about the range of answers that are acceptable, for example), where needed.

If you’re a  parent  looking for more advice, try our  home learning  hub full of  home learning packs , tips and teaching ideas for  Year 4 Maths  at home and  maths homework .

If you’re a  teacher or school leader  who is interested in improving maths attainment in your school or classroom, then this whole website is for you. Third Space Learning is dedicated to improving outcomes in maths with our  online tutoring  programme of  maths interventions , together with  maths resources  and CPD. You’re welcome to link to these free resources from your own website like thousands of other schools do.

Free Year 4 Maths Worksheets and Tests

A collection of free Year 4 maths activities from the Third Space Maths Hub. You need to register to download (but it's free). Use Google Chrome.

Year 4 Maths Worksheets for fluency, reasoning, and problem solving

Year 4 times tables worksheets, year 4 place value worksheets, year 4 addition and subtraction worksheets , year 4 multiplication and division worksheets , year 4 decimals worksheets , year 4 measurement worksheets, year 4 fractions worksheets, year 4 statistics worksheets, year 4 maths tests: all topics, year 4 maths worksheets to improve fluency, mental maths and arithmetic skills: fluent in five.

Fluent in Five worksheets provide a series of questions designed to take no more than 5-10 minutes and to help children develop their written and mental maths skills. Developing maths fluency in a key skill for children, especially in Year 4 with the newly-introduced times tables check to work towards. 

Download  Fluent in Five Arithmetic Pack (Year 4) Weeks 1-6

Year 4 Maths Worksheets for improving reasoning and problem solving skills: Rapid Reasoning

The Rapid Reasoning resource was created to fulfil the greater emphasis that a maths mastery approach gives to children’s ability to reason well. ‘Explaining your reasoning’ is a key part of maths lessons in Key Stage 2, and these free worksheets (six weeks’ worth in total) help children improve their reasoning skills. Each worksheet comes with around three questions based on Year 4 maths topics, example answers, and even step-by-step explanations to help pupils break down how to get to an answer. 

Download  Rapid Reasoning (Year 4) Weeks 1-6

Year 4 Maths Test: Times Tables

Knowing their multiplication tables is one of the key maths skills every child should have by the time they leave primary school, and Year 4 children will have this skill tested through the new multiplication tables check . 

These times tables practice tests provide a quick and clear way to help children practise, and spot any gaps in their knowledge. No more worries about getting caught out on the 7x table!

Download the Times Tables Packs

Year 4 Maths Worksheets for times tables: Tarsia Puzzles Mixed Times Tables Pack

These times tables worksheets are a fun way to practise times tables facts and related division facts independently and develop mental arithmetic skills.  

Download the Tarsia Puzzles Mixed Times Tables Pack

Year 4 Maths Worksheets for place value: All Kinds of Word Problems

This worksheet contains ten increasingly difficult questions about number and place value. A great choice whether you want to help a child revise this topic, or give a high achiever something more challenging to do as homework!

Download  All Kinds of Word Problems on Number and Place Value (Year 4)

Year 4 Maths Worksheets for addition and subtraction: Let’s Practise Using the Bar Model

These worksheets focus on word problems involving addition and subtraction of up to 4-digit numbers. It is important for children to experience a range of question types, especially in a topic where they may feel more confident. 

Download Year 4 addition and subtraction worksheets: Let’s Practise Using the Bar Model

Year 4 Maths Worksheets for addition and subtraction: Worked Examples

While children will have looked at formal column addition and subtraction, there are many common mistakes that even the most experienced amongst them can make. This worksheet highlights the common errors when using formal written methods, estimating and identifying related facts for addition and subtraction calculations. 

Download Year 4 Worked Examples Addition and Subtraction

Year 4 Maths Worksheets for addition and subtraction: Maths Code Crackers

Sometimes a simple set of fluency questions can be engaging. This worksheet focuses on calculations including up to 4-digit numbers add 4-digit numbers and up to 4-digit numbers subtract 4-digit numbers, all with the aim of finding answers and the punchline to a halloween themed joke. 

Download Year 4 Code Crackers: Addition and Subtraction

Year 4 Maths Worksheets for addition and subtraction: All Kinds of Word Problems 

These worksheets provide children with an opportunity to solve a wide range of addition and subtraction word problems. The problems range from missing digits to adding money and measures.

Year 4 Maths Worksheets for multiplication: All Kinds of Word Problems 

In Year 4, children are not only expected to know their times tables facts up to 12 x 12, they also need to know how to multiply 3-digit numbers by a 1-digit number. This workbook covers problems involving factors, missing numbers, multiplying 3-digit numbers by 1-digit numbers as well as times table facts. 

Download All Kinds of Word Problems: Multiplication 

Year 4 Maths Worksheets for multiplication: Let’s Practise Using the Bar Model

These worksheets include a range of word problems that can be solved using bar models. The questions cover times tables up to 12 x 12 as well as 2-digit numbers multiplied by 1-digit numbers. 

Download Year 4 Let’s Practise Using the Bar Model Multiplication Worksheets

Year 4 Maths Worksheets for division: Short and Long Division Worksheets

Long division is one of the most difficult parts of the primary maths curriculum, and learning long division requires a good understanding of short division to start with. While a Year 4 child won’t have learnt long division yet, these worksheets include short division questions at the beginning, helping children sharpen their division skills in preparation for the next step.

Download our Free Year 4 Division Worksheets

Year 4 Maths Worksheets for multiplication and division: Code Crackers

A fun way for children to get some more practise in: every question’s answer is part of the punchline of a joke. Solve them all and you solve the joke! The questions themselves cover all of the new things pupils have learned about the topic, so it’s easy to identify where any gaps are. 

Download  Maths Code Crackers Year 4: Multiplication and Division

Year 4 Maths Worksheets for multiplication and division: Worked Examples 

Children love to be the teacher. This worksheet gives children an opportunity to check work that has already been completed, explain any errors and develop reasoning skills. The worksheet covers a range of multiplication and division topics, including multiplying three 1-digit numbers together and dividing a 2-digit number by a 1-digit number.

Download Year 4 Worked Examples Multiplication and Division 

Year 4 Maths Worksheets on decimals: Independent Recap

This small collection of four worksheets covers tenths, hundredths, and dividing 1- and 2-digit numbers by 10 and 100 – all topics covered in Year 4 maths.

As independent working activities, they are specifically designed to be completed by children even if they can’t get access to online tools, or parent support.

Download the Year 4 Decimals Independent Recap Worksheets

Year 4 Maths Worksheets on decimals: Worked Examples 

Decimals are first formally introduced to children in Year 4. This worksheet focuses on a range of topics including understanding the value of the digits in a decimal number, dividing by 10 and converting between fractions and decimals. As decimals is a new topic to Year 4, there are several common errors pupils could make and this worksheet aims to address these misconceptions. 

Download Year 4 Worked Examples Decimals

Year 4 Maths Worksheets on decimals: Maths Code Crackers Year 4 Decimals

This worksheet focuses on the value decimals, ordering decimals and adding decimals to make a whole in a fun way. Children need to answer the questions to solve the answer to a topical joke. 

Download Maths Code Crackers Year 4 Decimals

Year 4 Maths Worksheets on area: Code Crackers

Area is a new and more complicated Year 4 topic, moving away from the number facts and arithmetic-based work children will have been used to from previous years. Our Code Crackers worksheet on area gives them the chance to test their understanding of this more complex topic, and have fun at the same time. Answers for all questions are included with the pack. 

Download  Maths Code Crackers Year 4: Area

Year 4 Maths Worksheets on area: Year 4 Worked Examples Area

When covering the topic of area, it is important that children understand not only what area is but what a 2-D shape is. This worksheet covers the required content for this year group while also addressing common misconceptions that can form when the new topic of area is introduced. Children will focus on counting the squares to calculate areas as well as compare areas while they check and explain incorrect answers. 

Download Year 4 Worked Examples Area

Year 4 Geometry worksheets

Year 4 maths worksheets for properties of shape: independent recap.

Children have been learning about shapes since Year 1, but that does not mean the content is easy to understand. These worksheets cover identifying angles (including the names of angles and measurements in degrees), comparing and ordering angles as well as properties of 2d shapes, classifying triangles and quadrilaterals and identifying lines of symmetry  and completing symmetrical figures. 

Download Year 4 properties of shapes worksheets: Independent Recap  

Year 4 Maths Worksheets for properties of shape: Code Crackers

This properties of shape worksheet focuses on recapping all the learning from this block of work. With a range of retrieval questions to answer, children need to answer the questions correctly to find the answer to a Wimbledon related joke. 

Download Year 4 properties of shape worksheets: Code Crackers

Year 4 Maths Worksheets for properties of shape: Worked Examples

There are several different aspects of properties of shape that children need to know in Year 4. This worksheet recaps some of the key language in the topic (for example, obtuse angle, rhombus) as well as some key concepts (for example, classification of triangles, lines of symmetry), while including opportunities to develop reasoning skills. 

Download Year 4 Properties of Shapes Worksheets: Worked Examples

Year 4 Maths Worksheets for fractions: Code Crackers

Finding fractions of numbers is a maths skill that becomes more and more important the later a child gets in their maths learning, but the basics are covered in Key Stage 2. This fractions for kids worksheet helps children become better at solving these types of problems without making it seem (too much) like work. 

Download  Maths Code Crackers Year 4: Fractions

Year 4 Maths Worksheets for fractions: Independent recap 

These worksheets recap adding and subtracting fractions with the same denominator and calculating fractions of quantities. Children will have been introduced to both of these topics in Year 3, however it is important that they have a strong understanding of the concepts before moving on to more complex fraction work. These worksheets encourage completely independent work. 

Download Year 4 Fractions Independent Recap

Year 4 Maths Worksheets for fractions: Year 4 Worked Examples

The topic of ‘fractions’ is very broad. In this worksheet, the focus is on 5 different areas of the fractions block that children in Year 4 often find confusing (adding three or more fractions, finding a fraction of an amount, subtracting from a whole, equivalent fractions and counting in fractions). 

Download Year 4 Worked Examples Fractions

Year 4 Maths Worksheets for statistics: Worked Examples

In Year 4, children are expected to be able to read and interpret a range of graphs and tables. This worksheet focuses on reading a table, bar chart and line graph. Children should be familiar with tables and bar charts but will have been introduced to line graphs for the first time in Year 4.  

Download Year 4 Maths Worksheets for statistics: Worked Examples

Year 4 Maths Worksheets for statistics: Independent Recap

These worksheets focus on answering questions about bar charts, tables and line graphs. As line graphs are new to Year 4, one of the worksheets in this pack encourages children to use data to draw their own line graphs. 

Download Year 4 Maths Worksheets for statistics: Independent Recap

Year 4 Maths Worksheets for statistics: Code Crackers

This worksheet encourages children to read and interpret a range of graphs to answer retrieval, comparison and sum questions about a range of different graphs and tables. 

Download Year 4 Maths Worksheets for statistics: Code Crackers

A great way to get an overall idea of a Year 4 child’s maths learning – two tests (one arithmetic, one reasoning) of about an hour each, with answer sheets included. Please remember that children may not have covered every topic on this test, so they may not be able to answer some questions.

Download our free Year 4 Assessment Pack

Also in this series…

• Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 2 Maths Worksheets
• Year 3 Maths Curriculum Toolkit for 7 & 8 Year Olds
• Year 3 Maths Worksheets
• Year 5 Maths Curriculum Toolkit for 9 & 10 Year Olds
• Year 5 Maths Worksheets
• Year 6 Maths Curriculum Toolkit for 10 & 11 Year Olds
• Year 6 Maths Worksheets

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Y4 Fractions and Decimals Lesson 12 - Word Problems - Year 4

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Last updated

6 September 2023

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This is a complete lesson pack with high quality resources for Year 4 Fractions and Decimals- Word Problems.

This lesson pack includes:

• Differentiated Activity Sheets

The lesson forms a part of a series of lessons on Fractions and Decimals . Other lessons in this series are:

• Lesson 1: Equivalent Fractions
• Lesson 2: Fractions of Amounts
• Lesson 3: Calculating Quantities
• Lesson 4: Addition
• Lesson 5: Subtraction
• Lesson 6: Tenths and Hundredths
• Lesson 7: Decimal Equivalents
• Lesson 8: Dividing by 10
• Lesson 9: Dividing by 100
• Lesson 10: Rounding Decimals
• Lesson 11: Comparing Decimals
• Lesson 12: Word Problems

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Y4 Unit Bundle Fractions and Decimals - Year 4

This is a complete unit pack with high quality resources for Year 4 Fractions and Decimals. It includes 12 lesson packs covering the following topics: * Lesson 1: Equivalent Fractions * Lesson 2: Fractions of Amounts * Lesson 3: Calculating Quantities * Lesson 4: Addition * Lesson 5: Subtraction * Lesson 6: Tenths and Hundredths * Lesson 7: Decimal Equivalents * Lesson 8: Dividing by 10 * Lesson 9: Dividing by 100 * Lesson 10: Rounding Decimals * Lesson 11: Comparing Decimals * Lesson 12: Word Problems Each lesson pack includes: * PowerPoint Presentation * Differentiated Activity Sheets * Challenge Cards * A4 Poster

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Fractions Consolidation Year 4 Spring Block 3 Reasoning and Problem Solving

Fractions consolidation year 4 spring block 3 questions.

These Fractions worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 4 Spring Block 3.

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What's included in the pack?

This pack includes:

• Fractions Consolidation Year 4 Spring Block 3 Reasoning and Problem Solving worksheets (includes answers).
• Interactive PDF versions to use on any device with Adobe Acrobat Reader.

National Curriculum Objectives

Mathematics Year 4: (4F2) Recognise and show, using diagrams, families of common equivalent fractions Mathematics Year 4: (4F1) Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten Mathematics Year 4: (4F10a) Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number Mathematics Year 4: (4F4)s Add and subtract fractions with the same denominator

Small Steps:

Equivalent fractions Fractions greater than 1 Add 2 or more fractions Subtract 2 fractions Subtract from whole amounts Calculate fractions of a quantity Problem solving –calculate quantities

​​​This resource is available to download with a Premium subscription.

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Year 4 – Fractions

Welcome to Year 4 Fractions, Decimals and Percentages at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support fractions, decimals and percentages lessons in Year 4 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

Fraction of Numbers Do Now Tasks

Fraction Addition Do Now Tasks

Fraction Subtraction Do Now Tasks

Fraction Addition and  Subtraction Do Now Tasks

Differentiated questions sets.

Fraction of a Number Question Set

Adding Fractions Question Set

Adding Mixed Numbers Question Set

Decimal Subtraction Question Set

Decimal Addition  Question Set 

Fractions of a number.

Strips – Fractions of a Number

Find Fractions of a Number

Fading Scaffolding Strips- Fraction of a Number

Finding and shading fractions.

Shade Fraction of a Shape

Adding fractions.

Strips – Add Fractions with the same Denominator

Fading Scaffolding Strips- Add Fractions With The Same Denominator

Fading Scaffolding Strips- Add 3 Fractions With The Same Denominator

Add Fractions Same Denominator

Subtracting fractions.

Strips – Subtract Fractions with the same Denominator

Strips- Subtract Tenths

Adding and subtracting fractions.

Strips – Add and Subtract Fractions with the Same Denominator

Adding and Subtracting Fractions Greater Than 1 Part-Whole Model

Comparing fractions, adding mixed numbers.

Add Mixed Numbers Same Denominator

Mixed Number and Improper Fraction Matching Cards

Mixed numbers.

Understand Improper Fractions Equal to Whole Numbers

Convert Mixed Numbers to Improper Fractions

Partition Mixed Numbers

Fraction reasoning.

Add Two Fractions Reasoning

Add Two or More Fractions Reasoning

Compare and Order Mixed Number Reasoning

Partition a Mixed Number Reasoning

Understanding Improper Fractions Reasoning

Tenths on a Number Line Reasoning

Tenths on a Place Value Grid Reasoning

Fraction of a Number Reasoning

Making a Whole with Hundredths Reasoning

Making a Whole with Tenths Reasoning 

Fraction challenges and word problems.

Add Fractions Challenge- Greater Than 1

Add Fractions Challenge

Decimal Place Value

Decimal Place Value – Faded Scaffolding

Adding decimals.

Strips- Add Tenths

Adding Decimals with the same DP 

Subtracting decimals.

Subtracting Decimals with the same DP 

Add and subtract decimals.

Strips- Add and Subtract Tenths

Rounding decimals.

Rounding Numbers with 1 dp to Nearest Whole

Rounding Numbers with 1 dp to Nearest Whole- Faded Scaffolding

Dividing decimals.

Fading Scaffolding Strips- Divide 1- or 2- Digit Numbers by 10

Fading Scaffolding Strips- Divide 1- or 2- Digit Numbers by 10 or 100

Fading Scaffolding Strips- Divide 1- or 2- Digit Numbers by 100

Decimal reasoning.

Decimals as Tenths Reasoning

Divide a 1-Digit Number by 10 Reasoning

Divide a 1-Digit Number by 100 Reasoning

Divide a 2-Digit Number by 10 Reasoning

Divide a 2-Digit Number by 100 Reasoning

Flexibly Partition Decimal Numbers Reasoning 

Round Decimal Numbers to Nearest Whole Number Reasoning

Partition Decimal Numbers Reasoning 

Compare Decimal Numbers Reasoning 

Equality and inequality statements.

Equality and Inequality Statement Matching- Decimals

Equality and Inequality Statement Matching- Improper Fractions Equal to Whole

Tenths as Decimals- Equality and Inequality Statement Matching

Percentages, fractions, decimals and percentages.

Tenths as Decimals

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