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Year 4 Maths Worksheets UK Hub Page

Welcome to our Year 4 Maths Worksheets Hub page.

Here you will find our selection of printable maths worksheets for Year 4 children, for your child will enjoy.

Take a look at our times table colouring pages, or maybe some of our fraction of shapes worksheets. Perhaps you would prefer our time worksheets, or learning about line or block symmetry?

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  • This page contains links to other Math webpages where you will find a range of activities and resources.
  • If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Year 4 Maths Learning

Here are some of the key learning objectives for the end of Year 4:

  • know and use Place value up to 4 digits
  • Compare and order numbers up to 10,000
  • Counting on and back in 1s, 10s, 100s and 1,000s from different starting points
  • Position numbers on a number line up to 10,000
  • Round numbers to the nearest 10, 100 or 1000.
  • Count backwards through zero and use negative numbers.
  • add and subtract with up to 4 digits in columns
  • add or subtract 1s, 10s, 100s or 1000s from a 4-digit number
  • solve 2-step problems using addition and subtraction
  • recall and use multiplication and division facts up to 12x12
  • recognise and use factor pairs
  • multiply 2-digit and 3-digit numbers by a 1-digit number
  • solve problems using multiplication and division
  • count up and down in hundredths
  • recognise and use equivalent fractions
  • add and subtract fractions with the same denominator
  • solve fraction problems including with non-unit fractions
  • write common fractions such halves and quarters as decimals;
  • understand tenths and hundredths as decimals
  • round decimals with 1dp to the nearest whole
  • compare numbers with up to 2dp
  • solve simple money and measure problems
  • measure, compare and calculate using different measures
  • find the area and perimeter of squares and rectangles
  • convert between 12- and 24-hour clock
  • convert between different units of measure
  • identify and order acute and obtuse angles
  • compare and classify 2D and 3D shapes according to their properties
  • identify lines of symmetry in 2D shapes
  • use coordinates in the first quadrant
  • translate shapes up, down, left and right
  • interpret and present data in bar graphs, pictograms and tabels
  • solve 1-step and 2-step problems using data in tables, pictograms and graphs

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 4 is generally equivalent to 3rd Grade in the US.

On this page you will find link to our range of math worksheets for Year 4 pupils.

Quicklinks to Year 4 ...

  • Online 3rd Grade Practice
  • Place Value Zone
  • Mental Math Zone

Word Problems Zone

Fractions zone.

  • Measurement Zone

Geometry Zone

Data analysis zone.

  • Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

  • Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 4 numbers & place value worksheets.

Using these Year 4 maths worksheets will help your child to:

  • learn their place value with 4 digit numbers;
  • use place value models to understand how to combine thousands, hundreds, tens and ones;
  • understand the value of each digit in a 4 digit number;
  • learn to use standard and expanded form with 4 digit numbers.
  • learn to read and write Roman numerals
  • Place Value Models 4 Digits
  • Place Value 4 Digit Numbers Worksheets (conversion)
  • Ordering 4-Digit Numbers
  • Ordering Negative Numbers -10 to 10
  • Roman Numerals worksheets

Year 4 Counting & Sequences Worksheets

Each worksheets consists of a sequence which has been partially filled in. The rest of each sequence must be completed.

At this grade, the focus is on counting on and back in constant steps of a digit.

  • Counting on and back by digits

Rounding, Inequalities, Multiples and Balancing Equations

Using these Year 4 Maths worksheets will help your child to:

  • round a number to the nearest 10, 100 or 1000;
  • use the > and < symbols correctly for inequalities;
  • use multiples and apply them to solve problems.
  • learn to balance math equations
  • Rounding to the nearest 10 Worksheets
  • Rounding to the nearest 100 worksheets
  • Rounding to the nearest 1000 worksheets
  • Rounding Inequalities Multiples Worksheets
  • Balancing Math Equations

Year 4 Mental Math Zone

Here you will find a range of printable Year 4 mental maths quizzes for your child to enjoy.

Each quiz tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

  • Year 4 Mental Maths Test sheets

Number Bonds Worksheets

The worksheets on this page will help to develop children's knowledge of numbers bonds to 20, 50 and 100.

There are a range of matching and wordsearches for children to enjoy whilst developing their number bond knowledge.

  • Number Bonds to 50 and 100

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Year 4 Addition Worksheets

  • learn to add numbers mentally to 100;
  • add on 1, 10, 100 and 1000 to different numbers;
  • learn to add 4 digit numbers in columns;
  • Addition Facts Worksheets to 100+100
  • 4-Digit Addition Worksheets
  • Money Addition Worksheets (£ )

Year 4 Subtraction Worksheets (3rd Grade)

Using these subtraction worksheets will help your child to:

  • learn to subtract numbers mentally to 100;
  • learn to do 4 Digit column subtraction.
  • Third Grade Subtraction Worksheets to 100
  • 4 Digit Subtraction Worksheets
  • Money Subtraction Worksheets UK (£ )

Year 4 Multiplication Worksheets

  • learn their multiplication tables up to 12 x 12;
  • understand and use different models of multiplication;
  • solve a range of Year 4 Multiplication problems.

Online Times Table Practice

  • Times Tables Practice Zone

Understanding Multiplication

  • Understanding Multiplication Facts Worksheets to 10x10

Multiplication Table Worksheets

  • Multiplication Table Worksheets - 2 3 4 5 10
  • Multiplication Drill Sheets 6 7 8 9
  • Fun Multiplication Worksheets to 10x10
  • Times Table Worksheets Circles 1 to 12 tables
  • Multiplying (integers) by 10 and 100 Worksheets
  • Multiplying by Multiples of 10 and 100

2-Digit Multiplication

  • 2 Digit Multiplication Worksheets

Multiplication Word Problems

  • Year 4 Multiplication Word Problem Worksheets (3rd Grade)

Randomly Generated Multiplication Worksheets

Using our random worksheet generator, you can:

  • Choose the tables you want to test;
  • Choose how big you want the numbers to go - up to 5 times, 10 times or bigger!
  • Choose how many questions per page.
  • Times Tables Worksheets (randomly generated)
  • Free Multiplication Worksheets (randomly generated)
  • Single Digit Multiplication Worksheets Generator
  • Multiplication & Division Worksheets (randomly generated)

Year 4 Division Worksheets

Using these Year 4 Maths worksheets will help your child learn to:

  • understand how division and multiplication relate to one another;
  • know their division facts to 10x10;
  • begin to learn 2-digit by 1-digit long division.
  • Division Facts to 10x10 Worksheets
  • Divding by Multiples of 10 and 100 Worksheets
  • Year 4 Long Division Worksheets (3rd grade)
  • Division Facts Worksheets (randomly generated)

Using the 3rd Grade Math worksheets will help your child to:

  • apply their addition, subtraction, and multiplication skills;
  • develop their knowledge of fractions;
  • apply their knowledge of rounding and place value;
  • solve a range of 'real life' problems.

These sheets involve solving one or two more challenging longer problems.

  • Year 4 Math Problems (3rd Grade)

These sheets involve solving many 'real-life' problems involving data.

  • Year 4 Math Word Problems for kids (3rd Grade)

These sheets involve solving 3-digit and 4-digit addition word problems.

  • Addition Word Problems 3rd Grade (3- and 4-digits)

These sheets involve solving 3-digit and 4-digit subtraction problems.

  • Subtraction Word Problems 3rd Grade

These sheets involve solving a range of multiplciation problems.

These sheets involve solving a range of division problems.

  • Division Worksheets Grade 3 Word Problems

Year 4 Fraction Worksheets

Using these sheets will help your child to:

  • understand what fractions are;
  • relate fractions to everyday objects and quantities;
  • place different fractions on a number line;
  • shade in different fractions of a shapes;
  • work out unit fractions of numbers.

what is a mixed number image

  • What is a Mixed Number Support page
  • Finding Fractions - Fraction Spotting
  • Fractions of Shapes Worksheets
  • Unit Fraction of Numbers
  • Halves and Quarters (up to 100)
  • Fraction Number Line Sheets
  • Adding Fractions with Like Denominators
  • Subtracting Fractions with like denominators
  • Fraction Riddles for kids (easier)

Year 4 Geometry Worksheets

The following worksheets will help your child to:

  • Identify and name a range of 2d and 3d shapes;
  • Draw 2d shapes;
  • Use reflective symmetry to reflect shapes in a mirror line.
  • recognise and identify right angles and lines of symmetry;
  • recognise and identify parallel lines;
  • identify the faces, edges, vertices and nets of 3d shapes;
  • Year 4 Free Printable Geometry Worksheets
  • Block Symmetry Worksheet
  • Line Symmetry Worksheets
  • Symmetry Activities
  • Geometry Nets Information and Worksheets

Measurement Zone, including Time & Money

Year 4 measurement worksheets.

  • Year 4 Measurement Worksheets - reading scales
  • Metric Conversion Worksheets

Year 4 Money Worksheets

Using challenges is a great way to get kids to use their thinking skills and extend learning by applying the knowledge they have.

  • count a range of coins up to £10
  • compare money amounts
  • apply their existing skills to puzzle out clues;
  • understand money terminology;
  • develop their thinking skills.
  • Year 4 Money Challenges
  • Column Addition Money Worksheets (UK)
  • Column Subtraction Money Worksheets (UK)

Area and Perimeter Worksheets

  • understand area and perimeter;
  • learn how to find the area and perimeter of rectangles.
  • Area Worksheets
  • Perimeter Worksheets

Time Worksheets

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

  • tell the time to the nearest 5 minutes;
  • become familiar with both digital and analogue times;
  • use the words 'past' and 'to' to describe the time correctly.
  • add and subtract time intervals from times and work out time intervals.
  • Add and Subtract Time Worksheets
  • Elapsed Time Worksheets
  • Printable Time Worksheets - Time Puzzles (easier)
  • 24 Hour Clock Conversion Worksheets

On this page there are a selection of bar and picture graphs, including bar graphs with real-life data such as tree heights.

  • Year 4 Bar Graph Worksheets (3rd grade)
  • Year 4 Venn Diagram Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 4 maths games.

The following games involve different Year 4 Maths activities which you and your child can enjoy together.

  • Year 4 / Third Grade Math Games

Year 4 Math Puzzles

The puzzles will help your child practice and apply their addition, subtraction and multiplication facts as well as developing their thinking and reasoning skills in a fun and engaging way.

  • Year 4 Math Puzzle Worksheets (3rd Grade)

Math Salamanders Year 4 Maths Games Ebook

Our Year 4 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

  • Year 4 Maths Games Ebook

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

  • How to Print support

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Roll the dice, make four-digit numbers, and round them to the nearest 10.

4. Use lots of different methods

Encourage your child to explore a range of methods for solving addition and subtraction problems.

Methods could include partitioning numbers into parts to add or subtract. For example:

2143 + 625 = ?   To solve this, you could partition 2143 into 2000, 100, 40, and 3, and then partition 625 into 600, 20, and 5.   The next step is to add the numbers together. First, add the ones: 5 + 3 = 8. Then, add the tens: 40 + 20 = 60. Then, add the hundreds: 600 + 100 = 700. And you also have the 2000.   Then, you can add all of these together: 8 + 60 + 700 + 2000 = 2768.

Your child may also draw pictures to represent how they have added or subtracted numbers. Number lines and number grids are useful for solving problems, as are formal written methods like column addition and subtraction.

Your child will understand subtraction as ‘difference’ as well as ‘taking away’. A good method that sees subtraction as difference is placing groups of objects into two rows to compare them and find the difference. This is particularly good for more tactile learners.

Your child may also find the difference between two numbers by counting up or counting back. For example, 27 – 18 could be interpreted as, ‘What is the difference between 27 and 18?’ Your child may count back from 27 to 18 to find the difference of 9 or count up from 18 to 27 to find the difference of 9.

Practising lots of methods not only means your child can more easily check their work – it means they can always pick the best method for any particular question. When your child has solved a problem, encourage them to use a different strategy to check their answer, and ask why they have chosen that particular method.

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Addition & Subtraction Workbook for Grades 3-4

Download & Print Only $3.40

4th Grade Math Worksheets: Addition

Free addition worksheets.

Our grade 4 addition worksheets range from simple two digit addition with no regrouping through addition of multiple 6 digit addends in columns .

(no carrying) 23 + 24 =
(sum under 100) 23 + 29 =
46 + 89 =
(3 addends) 5 + 40 + 55 =
   
40 + 40 + 30 + 30 =
300 + 500 =
(3 addends) 100 + 200 + 300 =
   
(missing addend) ___ + 606 = 900
(missing addend) 400 + ___ = 2,300
(missing addend) ___ + 8,700 = 9,000
   
295 + 8 =
39 + 11 +16 =
   
20 + ___ = 34
80 + ___ = 743
367

 
3 addends 123
+ 345

 
4 addends 345
+ 678
+ 789

 
5 addends  123
+ 345
+ 567
+ 789

 
1,234

 
3 addends 1,234
+ 2,345

 
4 addends 1,234
+ 2,345
+ 4,567

 
, 5 addends 1,234
+ 2,345
+ 3,456
+ 5,678

 
98,779

 
, 3 addends 945,687
+ 768,989

 
, 4 addends 467,870
+ 800,760
+ 766,469

 
 
 

year 4 problem solving addition

Sample Grade 4 Addition Worksheet

More addition worksheets

Find all of our addition worksheets , from adding by counting objects  to addition of multiple large numbers in columns.

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Free Printable Addition Word Problems Worksheets for 4th Year

Addition Word Problems: Discover a collection of free printable worksheets for Year 4 students, focusing on math addition word problems. Enhance learning and problem-solving skills with Quizizz.

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Chủ đề được đề xuất cho bạn

  • Two-Step Word Problems
  • Two-Digit Addition Word Problems

Problemau Geiriau Ychwanegol - Có thể in Addition-word-problems Worksheets Year 4 - Quizizz

Khám phá Addition Word Problems Bảng tính theo cấp độ

  • kindergarten

Tìm hiểu bài tập Addition Word Problems cho year 4 theo chủ đề

Khám phá các bảng tính chủ đề khác cho year 4.

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Explore printable Addition Word Problems worksheets for 4th Year

Addition Word Problems worksheets for Year 4 are an excellent resource for teachers looking to help their students improve their math skills. These worksheets provide a variety of math word problems that are specifically designed for fourth-grade students, ensuring that the content is both age-appropriate and engaging. By incorporating these worksheets into their lesson plans, teachers can effectively teach important math concepts while also helping their students develop critical thinking and problem-solving skills. With a wide range of problems and scenarios, these Year 4 math worksheets are perfect for reinforcing classroom learning and providing extra practice for students who may be struggling with addition word problems.

In addition to using Addition Word Problems worksheets for Year 4, teachers can also take advantage of Quizizz, an online platform that offers a variety of interactive quizzes and activities to enhance student learning. Quizizz allows teachers to create custom quizzes, which can be tailored to the specific needs of their students, including math word problems for fourth graders. This platform also offers a wide range of other educational resources, such as interactive games, flashcards, and more, making it an invaluable tool for teachers looking to diversify their lesson plans and engage their students in new and exciting ways. By incorporating both Year 4 math worksheets and Quizizz into their teaching strategies, educators can ensure that their students receive a well-rounded education and develop the skills necessary for success in math and beyond.

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Addition Word Problem Worksheets

The addition word problem worksheets presented here involve performing addition operations with regrouping and without regrouping. Our extensive and well-researched word problem worksheets feature real-life scenarios that involve single-digit addition, two-digit addition, three-digit addition, and addition of large numbers. These pdf handouts are designed to provide ample practice for elementary school children. Free worksheets are included.

Single-digit Addition Word Problems

Single-digit Addition Word Problems

These printable practice worksheets involve simple addition of single-digit numbers. Read the word problems and perform addition operations to arrive at the answers.

  • Download the set

Addition Word Problems: Sum up to 20

Addition Word Problems: Sum up to 20

Featured in these worksheets are engaging word problems whose sums add up to 20. Addends may have a combination of single-digit and two-digit numbers.

Addition Problems: Two-digit and Single-digit

Addition Problems: Two-digit and Single-digit

A number of real-life scenarios in the form of word problems featured in the addition worksheets here involve single digit and two-digit addends.

Two-digit Addition Problems - No Regrouping

Two-digit Addition Problems - No Regrouping

The word problems in this section do not require regrouping or carrying. Find the answers to the word problems that feature two-digit addends.

Two-digit Addition Problems - With Regrouping

Two-digit Addition Problems - With Regrouping

All two-digit addition word problems presented in this set of worksheets here require regrouping (carry over). Follow the place value columns to sum up the two-digit addends.

Theme based Word Problems

Theme based Word Problems

Presented here are worksheets with three colorful themes - Fall Season, Aquarium and Theme Park. Read the questions and solve the word problems. Answer keys are included.

Three-digit and Two-digit Addition

Three-digit and Two-digit Addition

A total of 15 addition word problems spread over three PDF worksheets presented here require you to sum up three-digit addends with the two-digit addends.

Three-digit Addition Word Problems

Three-digit Addition Word Problems

Enhance your arithmetic skills. Read the word problems and sum up three-digit addends in these printable worksheets. Some problems may require regrouping. Answer key included in each worksheet.

Multi-digit Addition Word Problems: Adding Large Numbers

Multi-digit Addition Word Problems: Adding Large Numbers

The word problems presented in the worksheets here feature large numbers with addends up to eight digits.

Related Worksheets

» Subtraction Word Problems

» Multiplication Word Problems

» Division Word Problems

» Math Word Problems

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year 4 problem solving addition

30 Year 4 maths questions

In Year 4, students are introduced to important maths concepts that become the building blocks for future mathematical learning. Let’s practise those concepts with this list of Year 4 maths questions.

headshot of author, Katie Wickliff

Author Katie Wickliff

year 4 problem solving addition

Published February 2024

year 4 problem solving addition

30 year 4 math questions

In year 4, students are introduced to important maths concepts that become the building blocks for future mathematical learning. Let’s practise those concepts with this list of year 4 maths questions.

Katie Wickliff headshot

30 year 4 maths questions

  • Key takeaways
  • In Year 4 maths, students develop a deeper understanding of multiplication and division, fractions, and measurements.
  • Year 4 word problems require more advanced comprehension skills.
  • Place Value: Understanding place value helps us read and write numbers correctly and compare their values.
  • Look for opportunities for your child to practise their maths at home–worksheets, maths games , or a maths practice app will help strengthen new mathematical knowledge. While consistency is key, maths practice for Year 4 should be engaging and fun.

Table of contents

  • Subtraction
  • Multiplication
  • Multi-step word problems

Answer sheet

In addition to reviewing and strengthening the skills learned in previous years, year 4 maths students learn multiplication and division, explore fractions, calculate measurements, and more. 

Also, word problems at this level are often multi-step, requiring students to understand what operations to perform and how to perform them correctly. 

This list of year 4 maths questions is intended to reinforce concepts students have already been taught. The list is divided into sections: addition, subtraction, multiplication, division, fractions, measurement, and multi-step problems. 

These sections allow students to specifically focus their practice, but feel free to skip around and choose the maths practice problems that best suit your child’s needs. 

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30 maths questions for Year 4

Section 1: addition.

Doodle-Blog-NumberIcons_1

At the school carnival, Hattie won 25 tickets at ring toss and 40 tickets at balloon darts. How many tickets did she win altogether?

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There are 15 baby chicks at the barn. 12 more chicks are born. How many baby chicks are at the barn now?

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How can you represent the number line with an equation?

year 4 problem solving addition

Using the number line, solve 7+ _ = 22

year 4 problem solving addition

Amir practises basketball three days a week. On Tuesday, he practises basketball for 60 minutes. On Wednesday, he practises for 37 minutes. On Thursday, he practises for 15 minutes. Which expression shows how to find the total number of minutes Amir practised? Circle the correct answer

year 4 problem solving addition

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year 4 problem solving addition

Section 2: Subtraction

Using the number line, solve 17-6=

year 4 problem solving addition

There are 224 Lions fans and 212 Tigers fans at the football game. How many more Lions fans than Tigers fans are at the game?

An animal shelter has 27 kittens available for adoption. On Friday, 8 kittens are adopted. How many kittens are left at the shelter?

Gemma has 130 beads for bracelets. She gives 75 beads to Piper and 6 beads to Claire. Which expression shows how to find the total number of beads Gemma has left? Circle the correct answer.

Using the number line, solve 30- _ = 14

year 4 problem solving addition

Section 3: Multiplication

year 4 problem solving addition

Using the picture below, write a multiplication equation to find the number of shapes

year 4 problem solving addition

Francis and Jane are playing a card game. Francis has 7 cards. Jane has 3 times as many cards as Francis. How many cards does Jane have?

year 4 problem solving addition

Using the number line to show hops, complete the multiplication sentence

year 4 problem solving addition

Solve the equation

year 4 problem solving addition

Mariela has 8 pages of maths homework. There are 4 questions on each page. How many total problems does Mariela have for maths homework?

Section 4: Division

Connor has 80 crayons that he will put into crayon boxes. Each crayon box can hold 8 crayons. How many crayon boxes does he need?

Using the number line to show hops, complete the division sentence

year 4 problem solving addition

Natalie divided 12 marbles into equal groups of 3. Draw a representation to show equal grouping.

Craig’s mom brought 12 cookies to the soccer game. She shared them equally among Craig and 3 teammates. Which expression will solve the problem correctly? Circle the answer.

Section 5: Fractions

Using the number line, work out what A, B and C represent.

year 4 problem solving addition

Plot ¼ on this number line:

year 4 problem solving addition

A cheese pizza has 8 slices. Marco ate 2 of the slices. His dad at the rest.  What fraction of the pizza did Marco eat? What fraction of the pizza did his dad eat?

There are 15 flowers in a garden. 10 flowers are yellow and the rest are red. What is the fraction of red flowers in the garden?

Using the number line, find the value of K and L. Which is bigger?

year 4 problem solving addition

Section 6: Multi-step word problems

Sarah has two £10 notes. Her sister has one £5 note. They combine their money to buy a game that costs £22 pounds. How much change will they receive?

Dad baked 36 cookies for the bake sale. Jonas baked 24 cookies for the bake sale. His brother ate 5 cookies before the bake sale started. How many cookies do they have left to sell?

The school bus seats 75 students in all. On Friday, the school bus was full. At the first stop, 7 students got off. At the second stop, 15 students got off. How many children were left on the bus?

George has 25 water balloons. He wants to divide the water balloons equally between himself and 2 friends. How many water balloons will each get? Will there be any water balloons left over?

On Monday, Julia walked 5 kilometres. On Tuesday, she walked 3 kilometres. On Wednesday, she walked 7 kilometres. A marathon is 42 kilometres. How many more kilometres would Julia have to walk to have walked a full marathon?

Addition answers

25+40= 65. Hattie won 65 tickets

15+12= 27. 27 baby chicks are at the barn

7+ 15= 22. This should be represented by 15 “hops” on the number line

Subtraction answers

17-6=11. This should be represented by 11 “hops” on the number line

224-212= 12. There are 12 more Lions fans than Tiger fans

27-8= 19. There are 19 kittens left at the shelter.

Multiplication answers

2×3=6; 3×2=6

7×3=21. Jane has 21 cards.

year 4 problem solving addition

8×4= 32

Division answers

year 4 problem solving addition

40÷8= 5. It will take Max 5 days to pay Bennett.

Drawing should show 3 groups of 4 marbles each.

Fractions answers

The ¼ should be plotted on the point between 0 and ½

Marco ate 2/8 (or ¼) of the pizza. His dad ate 6/8 (or ¾) of the pizza

5/15 (or ⅓)

K= ⅜, L= 6/8 (or ¾). L is larger.

Multi-step word answer answers

£10+£10= £20. 

£20+£5=£25.

£25-£22= £3

 Sarah and her sister will receive £3 in change

They have 55 cookies left to sell

53 students are left on the bus

George and his friends each get 6 water balloons, with one left over.

5 + 3 + 7 = 15

42 – 15 = 27

Julia must walked 27 more kilometres.

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year 4 problem solving addition

Katie Wickliff

Katie holds a master’s degree in Education from the University of Colorado and a bachelor’s degree in both Journalism and English from The University of Iowa. She has over 15 years of education experience as a K-12 classroom teacher and Orton-Gillingham certified tutor. Most importantly, Katie is the mother of two elementary students, ages 8 and 11. She is passionate about math education and firmly believes that the right tools and support will help every student reach their full potential.

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Year 4 | Solving Addition and Subtraction Problems Worksheets

Year 4 | Solving Addition and Subtraction Problems Worksheets

Year 4 Autumn addition and subtraction resources

Topic: Addition and subtraction (Autumn term)

These  Year 4 | Solving Addition and Subtraction Problems Worksheets  are designed to save you time with maths planning, following the 2023 White Rose progression.

Resources for our maths scheme – Maths Masters – include lesson presentations that model the learning, differentiated maths worksheets, practical maths activity cards,  assessments, revision mats and fully planned weekly lesson plans, varied fluency, problem solving and reasoning activities. Everything you need to help you save time with maths lesson preparation whilst providing pupils with engaging lessons that help them master maths learning.

Explore the rest of our year 4 addition and subtraction resources .

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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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Number of Pages

23

File Format

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Australian Curriculum Code

AC9M3A02, AC9M3N03, AC9M3N04, AC9M3N06, AC9M4A02, AC9M4N06, AC9M4N08, AC9M5N07, AC9M5N08, AC9M5N09, AC9M6N09

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Reasoning/Problem Solving Maths Worksheets for Year 4 (age 8-9)

This category is all about children choosing the most appropriate method to achieve a quick and accurate answer and to be able to explain their methods and reasoning.

Preview of worksheet Problem solving: finding the missing digits

Problem solving: finding the missing digits in 4-digit numbers. Tricky!

Preview of worksheet Problem solving: finding the values of missing counters

Problem solving: finding the values of missing counters. Logical thinking and careful work needed here!

Preview of worksheet Reasoning about number (1)

Reasoning about numbers on a number line and rounding numbers.

Preview of worksheet Reasoning about number (2)

More reasoning about number and place value.

Preview of worksheet Choose appropriate number operations (1)

Not only do the questions have to be answered, but explanations given. These pages really show how well children understand what they are doing.

Preview of worksheet Choose appropriate number operations (2)

More written explanations on which operation to use and whether the question should be done mentally or on paper.

Preview of worksheet Explain methods and reasoning

Lots of questions, most of which can be done mentally. The important thing is to explain how they were tackled.

Preview of worksheet Choose appropriate methods including calculator

Decide which operation is needed (add, subtract, multiply, divide) and whether a calculator, or pencil and paper are needed, or whether it can be done, 'in your head'.

Solving problems

A selection of problem solving activities and word problems.

Preview of worksheet Solve single step word problems

Here are some problems written in words. Fairly straightforward as they require just one mathematical step to work out the answer

Preview of worksheet Solve multi step word problems

Some word problems that need at least two steps to find the answer. This makes them much harder, so careful thinking is needed.

Preview of worksheet Solve problems involving money

5 pages of word problems, all involving money. Some are suitable for calculator work as they are specially written to make the process the most important factor: it is no use having a calculator if you don't know what calculation to carry out!

Preview of worksheet Solve money and number problems (1)

A range of number and money problems, typical of those found in KS2 test papers.

Preview of worksheet Solve money and number problems (2)

More number and money problems, typical of those found in KS2 test papers.

Preview of worksheet Saving money: word problems

Tricky word problems involving time and money.

Preview of worksheet Solve problems involving length mass or capacity

More word problems; this time on measurement of length, mass and capacity. These really test children's understanding of when to use addition, subtraction, multiplication or division to solve a problem.

Preview of worksheet Solve problems involving time

Time problems are especially tricky, especially when finding lengths of time that cross the hour boundary. A good knowledge of the number of days in each month is also needed.

Preview of worksheet Solve problems

Not many problems on a page, but there is an awful lot within each question. Each is a mini investigation, which can be explored in depth.

Preview of worksheet Solve problems recognise patterns and predict

Number patterns, remainders, number machines and much more in this mixed selection of problems.

Preview of worksheet Work out the missing value (1)

Working out the missing value.

Preview of worksheet Work out the missing value (2)

More working out missing values.

Preview of worksheet Planting flower bulbs

Using the instructions on the packet what is the maximum number of bulbs that can be grown in the garden?

Preview of worksheet Planting seeds

Using the instructions on the packet what is the maximum number of seeds that can be sown in the garden?

Preview of worksheet Planting vegetables

Using the instructions on the packet what is the maximum number of vegetables that can be grown in the garden?

Preview of worksheet Crazy addition

An addition challenge suitable for year 4 on.

Preview of worksheet Who am I?

The fish are all called numbers. Can you work out their names by solving the clues?

Investigations

More open ended activities where children choose the approach to the task.

Preview of worksheet Investigate numbers and shapes

Making rules for sequences is an early step towards understanding algebra, and an important part of Year 5 maths. More 'How would you...?' type questions as well.

Preview of worksheet Menu choices

How many different three course meals can Sam choose?

Preview of worksheet Consecutive numbers in a square

Investigate patterns made by placing consecutive numbers in a number square.

Preview of worksheet 5 digit addition investigation

A great little investigation which has plenty of extension possibilities.

Preview of worksheet Date challenge 220222

Fun addition investigation using the date: 22.02.2022.

Preview of worksheet Year 4 Using and Applying Maths

Some thoughts on how important this area of maths is.

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20 Word Problems For Year 4: Develop Their Problem Solving Skills Across Single and Mixed KS2 Topics

Emma Johnson

Word problems for Year 4 play an important role in Year 4 maths. In Year 4, the main focus is to ensure that pupils are becoming more fluent with whole numbers and the four operations. Students work to develop efficient written methods and to be accurate with their calculations. Pupils in Year 4 are exposed to a wider range of problem-solving questions and progress from one to two-step problems.

It is important that all children are given regular opportunities to access reasoning and word problem style questions. Fluency, reasoning and problem solving should be intertwined through every lesson, with all children having the opportunity to tackle each of these question types. 

All Kinds of Word Problems Multiplication

All Kinds of Word Problems Multiplication

Strengthen your students' problem solving and multiplication skills with this pack of multiplication word problems

Place value 

Addition and subtraction , multiplication and division, fractions, decimals and percentages, measurement, why are word problems important in year 4 maths, how to teach problem solving in year 4, addition word problems for year 4, subtraction word problems for year 4, multiplication word problems for year 4, division word problems for year 4, fraction and decimal word problems in year 4, time word problems in year 4, multi-step word problems in year 4., more primary word problems resources.

There can sometimes be a tendency for reasoning and problem solving questions to be treated as extension activities for only the higher attaining pupils to attempt, but children of all abilities need to be accessing them on a regular basis.

To help you with this, we have put together a collection of 20 word problems aimed at Year 4 pupils. For more Year 4 maths resources, take a look at our collection of Year 4 maths worksheets .

Year 4 Maths Word Problems in the National Curriculum

In Year 4, pupils progress from solving one-step problems, to also being exposed to two-step problems across a range of topics, as set out in the National Curriculum.

Solve word problems involving counting in multiples of 6,7,9, 25 and 100; finding 1000 more or less than a given number; counting backwards through 0 to include negative numbers; ordering and comparing numbers beyond 1000 and rounding numbers to the nearest 10. 100 and 1000

Solve addition and subtraction word problems with up to 4 digits, including two-step word problems, deciding which operations and methods to use and why.

Solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems.

Solve problems involving increasingly harder fractions word problems to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number. Also Solve simple measure and money problems involving fractions and decimals to 2 decimal places.

Solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days.

Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.

Word problems are increasingly important as pupils move through Key Stage 2. As they become more confident with some of the core concepts pupils need to be applying this knowledge to a range of situations. By the end of Year 4, pupils should have memorised their multiplication tables up to and including the 12 times table and should be showing precision and fluency in their work.

Word problems in Year 4 should be fun and engaging for students. There are many ways to do this, including:

  • acting out the problem;
  • using manipulatives and visual images to help children understand the maths within the problem;
  • use of talk partners to encourage children to discuss the question and share strategies for reaching a solution;
  • using relatable problem solving situations.

Children need to be encouraged to read word problem questions carefully, to ensure they have identified the key information needed to be able to solve the problem. Pupils need to think about what they already know and how that information can help them to answer the question. They should also be encouraged to draw pictures and visual images, where appropriate, to help them to understand what the question is asking.

Here is an example:

A shop has an 8m roll of fabric.

The first customer buys 125cm of fabric and the second customer buys 3m from the same roll.

How much fabric is left on the roll, once the two customers have taken theirs?

How to solve:

What do you already know?

  • The amount the first customer buys is given in cm, the amount the second customer buys is given in m. These needed to be converted to the same unit.
  • Pupils in Year 4 need to be able to convert cm to m and vice versa. In this question, both the cm can be given as m or the m changed to cm to solve it.
  • Once the units are the same, the two amounts need to be added together, to work out the total amount bought by the two customers.
  • We can see this is a two-step question. To calculate how much fabric is left on the roll, the total amount bought by the two customers needs to be subtracted from the initial amount of fabric on the roll.

How can this be drawn/represented pictorially?

We can draw a bar model to represent this problem:

pictoral bar model

  • To calculate the total amount of fabric bought, we need the units to be the same. We can either calculate in cm (300cm + 125cm = 425cm) or in m (3m + 1.25m = 4.25m)
  • The amount of material bought needs to be subtracted from the original amount. This can again be solved in m or cm. Either in m: 8m – 4.25m = 3.75m or in cm: 800cm – 425cm = 375cm
  • The total amount of material left is 3.75m or 375cm

In Year 4, addition word problems involve questions up to 4-digit numbers. They can include one and two-step addition and incorporate a range of concepts, such as measures and money word problems  

Addition question 1

It is 4164 miles to travel from London to Doha and 3266 miles to travel from Doha to Bangkok.

How far is it to travel from London to Bangkok, if the flight stops in Doha first?

Answer (1 mark): 7430 miles

long addition

Addition question 2

Fill in the missing numbers in this calculation.

long addition workings

Answer (1 mark): 6840

long addition answer

Addition question 3

On Saturday, 5486 fans attended a football game and 3748 fans attended a rugby game.

How many fans watched the two games in total?

Answer (1 mark): 9234

long addition question

Subtraction word problems in Year 4, also involve numbers up to 4-digits, including both one and two-step problems, covering a range of concepts. By this stage, children should be confident in estimating and using the inverse, to check calculations.

Subtraction question 1

3241 people visited the zoo on Saturday.

On Sunday 2876 people visited.

How many more people visited the lake on Saturday than on Sunday?

Answer (1 mark): 365

 3241 – 2876 = 365

column subtraction

Subtraction question 2

 A teacher prints out 1242 worksheets in a term.

If 435 were maths worksheets, how many did she print out for the other subjects?

Answer (1 mark): 807

column subtraction workings

Subtraction question 3

The temperature in Toronto dropped to minus 15 degrees celcius in December. 

In July the temperature was 47 degrees celsius warmer than it was in December. What was the temperature in July? 

Answer (1 mark): 32 degrees warmer

47 – 15 degrees = 32 degrees celsius

Counting on 47 degrees from minus 15 degrees  = 32 degrees celsius

In Year 4, multiplication word problems can include recalling facts for times tables up to 12 x 12 and multiplying two and three-digit numbers by a 1-digit number, using formal written layout.  

Multiplication question 1

All the pupils in Year 4 complete a mental maths test.

27 pupils score 9 marks out of 10.

What is the total number of marks scored by the 27 pupils?

Answer (1 mark): 243

27 x 9 = 243

column multiplication

Multiplication question 2

Year 3 and 4 children from a local primary school go on a school trip. 

Six mini buses are used to transport the children.

 There are 17 children on each minibus.

How many children go on the school trip?

Answer (1 mark): 102

17 x 6 = 102 children

column multiplication

Multiplication question 3

Biscuits come in packs of 18.

Mrs Smith buys 8 packs for the parents at the Y4 maths workshop.

How many biscuits does she buy altogether?

Answer (1 mark): 144 biscuits

column addition question

Division word problems in year 4 require pupils to be able to recall division facts for multiplication tables up to 12 x 12. Formal written method of division isn’t a requirement until Year 5 however, many schools choose to teach the formal method in Year 4. Pupils need to understand the concept of grouping and sharing and to understand the link between multiplication & division.

Division question 1

Sam has 28 friends coming to his birthday party.

Each child will receive a cupcake, which come in packs of 4.

How many packs of cupcakes will Sam need to buy?

Answer (1 mark): 7 packs

28 ÷ 4 = 7 

Division question 2

4 children raised £96 between them on a sponsored walk.

If they split the money evenly between the four of them, how much did each pupil raise?

Answer (1 mark): £24 each

96 ÷ 4 = 24

Division question 3

Ahmed is thinking of a number

He says, ‘when I divide my number by 12, the answer is 108.

What number was Ahmed thinking of?

Answer (1 mark): 9

108 ÷ 12 = 9

In Year 4, decimal and fraction problems involve increasingly harder fractions to calculate quantities and fractions to divide quantities, including non-unit fractions, where the answer is a whole number. Decimal word problems include measure and money problems involving fractions and decimals up to 2 decimal places.

Fraction and decimal question 1

Jamie has 18 sweets. 

He gives \frac{1}{6} of the sweets to his friend and keeps the rest himself.

How many sweets does Jamie have now?

Answer (1 mark): 15 sweets

\frac{1}{6} of 18 = 3

18 – 3 = 15

Fraction and decimal question 2

Jaxon collected 36 conkers. 

\frac{1}{4} of the conkers fell out of a hole in his bag, when he was walking home.

How many conkers did Jaxon have left, when he got home?

\frac{1}{4} of 36 = 9

36 – 9 = 37      or      \frac{3}{4} of 36 = 29 (3 x 9)

Fraction and decimal question 3

Sara ate \frac{3}{12} of a chocolate bar and gave \frac{2}{12} to her friend.

What fraction of the chocolate bar did she have left? 

 Answer (1 mark): \frac{7}{12}

In Year 4, time word problems include: converting from hours to minutes, minutes to seconds, years to months and weeks to days.

Time question 1 

A cake was put in the oven at 4:35pm and taken out at 4:57pm.

How long was the cake in the oven?

Answer (1 mark): 22 minutes

57-35 = 22 minutes

Using an number line: 

time number line

Time question 2

It took Evie 25 minutes to complete a page of number problems. 

If she started at 2:45pm. What time did she finish?

Answer (1 mark): 3:10pm

In Year 4, children are introduced to multi-step word problems requiring up to two steps. These problems cover a range of concepts, including the four operations, fractions, decimals and measures.

Third Space Learning’s online one-to-one tutoring frequently incorporates multi-step questions to test students’ knowledge and problem solving skills. Our personalised tutoring programme works to identify gaps in students’ learning, fill those gaps, reinforce students’ knowledge and build confidence.

year 4 word problem lesson slide

Multi-step question 1

There are 6 handwriting pens in each pack.

A class has 30 children and each child needs 2 handwriting pens.

How many packs will the teacher need to buy?

Answer (2 marks): 10 packs of handwriting pens.

30 x 2 = 60

Multi-step question 2

 Sophie has £4.50.

She buy 3 books at a carboot sale, costing 50p, 65p and £1.20.

How much money does she have left?

Answer (2 marks): £2.15 left

multi-step question

Multi-step question 3

Abullah is thinking of a number.

He doubles the number and adds 7.

He gets an answer of 25. 

What was his original number?

Answer (2 marks): 9

multi-step question subtraction and division

Third Space Learning offers word problems for all primary year groups. Take a look at our word problems for year 3 , word problems for year 5 and word problems for year 6 . Our word problems span a range of topics such as ratio word problems and percentage word problems .

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  1. Year 4 Addition and Subtraction Hard Addition Problems

    Interactive addition and subtraction word problems for Year 4's. This PowerPoint is full of varied and engaging hard addition word problems designed to help Year 4 pupils finely tune their addition and subtraction skills. With five main word problems, each featuring its own spin-off discussion starters, this interactive maths resource is a ...

  2. Year 4 Maths Worksheets

    Using these Year 4 Maths worksheets will help your child to: round a number to the nearest 10, 100 or 1000; use the > and < symbols correctly for inequalities; use multiples and apply them to solve problems. learn to balance math equations. Rounding to the nearest 10 Worksheets. Rounding to the nearest 100 worksheets.

  3. PDF Year 4 Maths Addition and Subtraction Workbook

    Year 4 Maths Addition and Subtraction ... Solve addition and subtraction two-step problems in contexts, ... World Flights Solving Two Step Addition and Subtraction Word Problems 12 13 - 14. 2020 twinklcom 3 Large Numbers Addition Worksheet 5122 120 309 a) + 440 3055 123 b) + 9999

  4. Addition Questions for Year 4

    Australian Year 3-4 Subtraction Word Problems Maths Challenge Cards; Year 3 NAPLAN Worded Problems Challenge Cards; Worded Addition and Subtraction to 100 Challenge Cards; Two-Step Addition and Subtraction Word Problem Challenge Cards; As always, if you can't find what you're after, then please don't hesitate to get in touch. Our TwinklCares ...

  5. Year 4 Two-Step Problems Using Addition and Subtraction

    Our expertly-made year 4 two-step problems resources are made to align with the curriculum topic of Number - Addition and Subtraction. They support the curriculum's aim: "solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why". Have a look around and explore our assortment of year 4 ...

  6. Addition & subtraction in Year 4 (age 8-9)

    Addition & subtraction in Year 4 (age 8-9) In Year 4, your child will learn to solve addition and subtraction problems involving numbers up to four digits. They will use lots of different methods, including using objects, diagrams, and formal written methods. The key words for this section are area/grid method, difference, and inverse.

  7. Year 4 Addition and Subtraction 2-Step Maths Word Problems

    Part of a comprehensive PlanIt Maths lesson pack, you can use these differentiated two-step problem-solving activity sheets to help students practise addition and subtraction skills. Tasks are designed to allow students to experience worded problems with two-step problem solving involving addition and subtraction. They meet the national curriculum aim 'Solve addition and subtraction two-step ...

  8. Addition and Subtraction

    With this activity pack of worksheets on addition and subtraction, Year 4 children can take their time to practise and really get used to different mathematical methods. In this resource, you'll find worksheets and activities that build on skills such as: Adding four-digit numbers; Using different methods of addition and subtraction;

  9. FREE Year 4 Maths Worksheets, Tests & Homework (PDFs)

    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.

  10. Grade 4 Addition Worksheets

    K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. Free 4th grade addition worksheets including mental addition, missing addend problems, adding whole tens and hundreds and column form addition with up to 6 addends and up to 6 ...

  11. Free Printable Addition Word Problems Worksheets for 4th Year

    Explore printable Addition Word Problems worksheets for 4th Year. Addition Word Problems worksheets for Year 4 are an excellent resource for teachers looking to help their students improve their math skills. These worksheets provide a variety of math word problems that are specifically designed for fourth-grade students, ensuring that the ...

  12. Addition Word Problems Worksheets

    Addition word problem worksheets contain abundant practice sheets with regrouping and no regrouping addends. Multi-digit word problems are included. ... Fall Season, Aquarium and Theme Park. Read the questions and solve the word problems. Answer keys are included. Download the set; ... at only $24.95/year - about 7 cents a day! ...

  13. Maths Mastery Year 4 Addition and Subtraction Challenge Cards

    Mastery - Fluency, Reasoning and Problem Solving Year 4 Addition and Subtraction. How does this resource excite and engage children's learning? Use this set of 7 challenge cards to reinforce your teaching on year 4 addition and subtraction maths mastery and test your students' knowledge. Great as an opening or finishing activity.

  14. 30 Year 4 Maths Questions

    This list of year 4 maths questions is intended to reinforce concepts students have already been taught. The list is divided into sections: addition, subtraction, multiplication, division, fractions, measurement, and multi-step problems. These sections allow students to specifically focus their practice, but feel free to skip around and choose ...

  15. PDF Year 4 Add Two 4-Digit Numbers 1 Reasoning and Problem Solving

    Mathematics Year 4: (4C2) Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate Differentiation: Questions 1, 4 and 7 (Problem Solving) Developing Add counters or digits to the spaces to complete the column addition. Adding two 4-digit numbers with no exchange.

  16. Year 4

    These Year 4 | Solving Addition and Subtraction Problems Worksheets are designed to save you time with maths planning, following the 2023 White Rose progression. Resources for our maths scheme - Maths Masters - include lesson presentations that model the learning, differentiated maths worksheets, practical maths activity cards, assessments ...

  17. Year 4 Two-Step Problems Using Addition and Subtraction

    Our expertly-made year 4 two-step problems resources are made to align with the curriculum topic of Number - Addition and Subtraction. They support the curriculum's aim: "solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why". Have a look around and explore our assortment of year 4 ...

  18. Two-Step Problem-Solving Lesson Pack

    Developed as part of our award-winning PlanIt scheme of work, this lesson is the first in a series of three on addition and subtraction problem-solving for Year 4 Maths. For more resources like this two-step problem-solving lesson , take a look at the following downloadable packs, lesson 2 and 3 in this series:

  19. Problem-Solving Booklet: Year 4

    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 […]

  20. Reasoning/Problem Solving Maths Worksheets for Year 4 (age 8-9)

    Number and Place Value Addition Subtraction Multiplication Division Four Operations Practice Fractions and Decimals Geometry (Shape) Measuring, time and money Statistics (Handling Data) Reasoning/Problem Solving Year 4 Mental Arithmetic Year 4 Assessment New Weekly Programme Money: Australian $ Money: New Zealand $ Money: Euros

  21. Year 4 Maths Problems Challenge Cards (teacher made)

    This set contains 20 Year 4 Maths Problems to challenge children and get them thinking about and applying maths in the real world. ... Solve addition and subtraction two-step problems in contexts. Calculate different measures, including money in pounds and pence.

  22. 20 Word Problems For Year 4: Develop Problem Solving Skills

    Word problems for Year 4 play an important role in Year 4 maths. In Year 4, the main focus is to ensure that pupils are becoming more fluent with whole numbers and the four operations. Students work to develop efficient written methods and to be accurate with their calculations. Pupils in Year 4 are exposed to a wider range of problem-solving ...