i see problem solving year 4

Problem-Solving Booklet: Year 4

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This Problem-Solving Booklet is a great resource for your students to practise utilising problem-solving skills.

This booklet has 18 pages of questions, having students apply addition, subtraction, division, and multiplication operations to answer the problem. Each page has the students identify the operation needed and the problem-solving strategy they will use, then record the number sentence to solve the problem. Some problems have multiple steps to extend students. It also contains two cover pages as it may be suitable to use with other year grades.

This would work well in small group activities, extension work, or as an independent task.

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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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I See Problem-Solving - Y2

The eBook I See Problem-Solving - Y2 gives coherent sequences of mathematical problem-solving tasks to build understanding and deepen learning. The initial tasks in each 'task family', with visual representations, allow children to build confidence and practice key skills. Then the challenges are opened up and extended! The ultimate resource for building children as problem-solvers.

Download I See Problem-Solving - Y2, Task Build-Up (PowerPoint)

Download I See Problem-Solving - Y2, Task Build-Up (PDF)

The purchase price is £30  (which includes VAT) for the PDF digital download. I See Problem-Solving - Y2 Sample provides 3 free sample task families for you to try out.

For each 'task family', the Task Build-Up examples introduce children to the format of the activities and help to build the key skills step-by-step. Children are able to practice these skills using the introductory tasks in each task family. Visual representations are used and misconceptions are addressed. Then, the tasks become progressively more open and extended. This will ensure that all children are both supported and challenged. It will give all children the excitement of engaging in rich problem-solving!

The 28 Task Families of I See Problem-Solving - Y2 , written by Gareth Metcalfe, cover all areas of the English mathematics curriculum. This corresponds to US Grade 1. To purchase, click on the link below. If you need any assistance with ordering, please email [email protected].

Online Training: Inspiring Mathematical Thinking Using I See Problem-Solving - Y2

You can access the recording of this 60-minute online training session by emailing [email protected] stating the name of your school and the number of people who will view the recording. The cost is £15+VAT per person. This video gives an overview of the session:

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Daily Maths Word Problems - Year 4 (Worksheets)

Updated:  06 Dec 2019

A set of 20 problem-solving questions suited to year 4 students.

Non-Editable:  PDF

Pages:  6 Pages

• Curriculum Curriculum:  AUS V8, NSW, VIC, AUS V9
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Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems

WholeNumbers - applies place value to order, read and represent numbers of up to five digits

Develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder

This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics.

It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods.

An answer sheet has been included.

teaching resource

Daily maths problems - year 4.

A 44 slide editable PowerPoint Template for problem solving in mathematics.

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Thank you for the Daily Maths Word Problems. It is definitely helpful to have resources like these readily available - a time-saver!

Hi Zuriette! So glad to hear that you enjoyed them.

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Year 4 Money Challenges Solving Money Problems

Welcome to our Year 4 Money Challenges page. Here you will find our selection of printable money problem worksheets to help your child learn to use their money skills to solve a range of problems.

These challenges are a great resource as an extension for more able pupils, or to consolidate and extend learning.

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Year 3 Money Learning

Knowing how to handle and calculate with money is a very important life-skill.

During Year 3, children build on their knowledge and skills they have achieved during Year 2.

By the time children reach the end of Year 3, they should be able to:-

• use decimal notation for amounts of money, e.g. £3.27
• change amounts in £ to amounts in pence and back;
• count money up to £10;
• calculate change for amounts of money up to £1 mentally;
• solve simple problems involving money;
• use informal methods to add and subtract money amounts in £ and pence.

Our worksheets will support your child with these objectives.

Year 4 Money Challenges Information

The following worksheets involve solving challenges involving money amounts. They are a great way to consolidate and extend money learning once children are confident with counting money amounts.

The challenges start off at a fairly easy level with problems that involve lower value coins and smaller money amounts. The challenges later on involve more complex problems with larger values to calculate.

If you are teaching a class or group of children, then these sheets should give you some great differentiated learning activities with a money theme.

An answer sheet is available for each challenge provided.

The money challenges in each section are carefully graded, allowing you to introduce concepts at an easier level before introducing harder work, or differentiate within your class.

Using the sheets in this section will help your child to:

• count money in coins;
• develop their reasoning and thinking skills;
• solve problems involving money.

All the money worksheets in this section will help your child to become more confident with money, and develop better problem solving skills.

These problems and challenges build on our Year 3 Money Challenges .

Year 4 Money Challenges Worksheets

There are 3 challenges - Tyger's Money Square Challenge, Row of Coins Challenge and How Much Money Challenge.

Each main challenge has several versions which start with the easiest level and progress onto harder levels of challenge.

Row of Coins Challenges

• Row of Coins Challenge 4:1
• PDF version
• Row of Coins Challenge 4:2

Tyger's Money Square Challenges

• Tyger's Money Square Challenge 4:1
• Tyger's Money Square Challenge 4:2
• Tyger's Money Square Challenge 4:3

How Much Money Challenges

• How Much Money Challenge 4:1
• How Much Money Challenge 4:2

Match the Coins

• Match the Coins 4:1
• Match the Coins 4:2

Extension Activity Ideas

If you are looking for a way to extend learning with the How Much Money challenge, why not...

Try playing 'How Much Money' in pairs.

One person chooses 2 or 3 coins and the other person has to ask questions which involve 'yes' or 'no' answers.

To make the game more interesting, have a maximum of 5 questions before you make a guess!

Looking for some more UK money worksheets?

We also have some counting money worksheets with amounts up to £1 or £5.

The sheets are at a more basic level than those on this page.

• Free UK Money Worksheets Coins up to £1
• Year 3 Money Worksheets Coins up to £5
• Year 3 Money Challenges

More Recommended Math Worksheets

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

Money Riddles

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UK Money Riddles

If you are looking for some fun learning puzzles involving money, then look no further.

The puzzle sheets in this section are designed primarily for children in Years 3 and 4 who need to develop their problem solving skills and mathematical language.

Using these challenges will help your child to:

• apply their existing skills to puzzle out clues;
• understand money terminology;
• develop their thinking skills.
• Money Riddles for Kids (UK coins)

Money Column Addition Worksheets

Here you will find a selection of Column Addition Money sheets designed to help your child add different amounts of money.

Using these sheets will help your child to:

• add up a range of money amounts involving decimals.

The worksheets in this section are aimed at children in Years 4 and 5.

• Column Addition Money Worksheets (UK)

Money Column Subtraction Worksheets

Here you will find a selection of Column Subtraction Money sheets designed to help your child subtract different amounts of money.

• subtract a range of money amounts involving decimals.
• Column Subtraction Money Worksheets (UK)
• Counting Money Games

Here is our collection of counting money games for kids.

All of these games are suitable for kids aged from 1st grade and upwards.

Playing games is a great way to practice math skills in a fun way. Games also help to develop reasoning, thinking and memory.

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Place value - Order and Compare numbers beyond 1000

Subject: Mathematics

Age range: 7-11

Resource type: Other

Last updated

21 August 2018

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This is a whole lesson based on the Year 4 Place Value objective of “Order and Compare numbers beyond 1000”. This resource includes the teacher input ( learning journey) and differentiated worksheets; Mild ( LA) , Spicy ( MA) and Hot (HA) with a depth activity to deepen the children’s understanding of the concept being learned.

The questions have been inspired and adapted from the White Rose Small Steps Guidance and Teaching for Mastery documents. This document is useful for teachers who have adapted Mastery Maths or Singaporean Maths and need guidance in the approach or those who are looking for variation in fluency, reasoning and problem solving or simply those who don’t want to plan it themselves but want high quality resources and quality first teaching. =)

All of the documents that are uploaded as an Activinspire file are interactive and all of the concrete/pictorial manipulatives can be used, moved and manipulated.

This document can be downloaded on Activinspire and it is also available as a PDF for those who do not have Activinspire. Thank you for taking the time to review my resources. =) I hope this helps you with your teaching and if it does please could you be kind enough to leave some positive feedback. =)

Kind regards

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I love your resorces they made my life so easy last year. The quality of the questions is also good. I recommend them to the other teachers that I work with. My children really enjoy Mild, Spicy and Hot differentiation however sometimes they cannot read what it says on the papers. I was wondering if you could do a word version so that the teachers could edit them??

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Love this. Only problem is incorrect spelling of ascending and descending.

A fantastic resource that will really challenge my more able children to explain and show their reasoning.

This is a great resource, which moves from pictorial representation to abstract. Three different levels of work is really good and I love the fluency, problem solving and reasoning tasks.

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Problem-solving maths investigations for year 4.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 4 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 4 .

Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.

I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire

You can find Hamilton's investigations for Year 4:

• Individually, they are incorporated into every unit in our Year 4 flexible maths blocks .
• Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 4 .

Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Hamilton’s Problem-solving Investigations provide school-wide solutions to the challenges of building investigative skills from Early Years to Year 6.

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