multiplication and division problem solving year 5

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Grade 5 Multiplication & Division Worksheets

Multiply & divide with grade 5 worksheets.

These grade 5 worksheets provide more challenging practice on multiplication and division concepts learned in earlier grades.

Sample Grade 5 Division Worksheet

More division worksheets

Explore all of our division worksheets , from simple division facts to long division of large numbers.

More multiplication worksheets

Find all of our multiplication worksheets , from basic multiplication facts to multiplying multi-digit whole numbers in columns.

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Year 5 Maths Worksheets UK Hub Page

Welcome to our Year 5 Maths Worksheets area.

Here you will find a wide range of free printable Maths Worksheets for pupils in Year 5, and Math activities for your child to enjoy.

Take a look at our decimal place value sheets, our mental math sheets, or maybe some of our equivalent fraction worksheets. Perhaps you would prefer our statistics worksheets, or how to measure angles?

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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 5 Maths Learning

Here are some of the key learning objectives for the end of Year 5:

• know and use Place value up to 1 million
• Compare and order numbers up to 1 million
• Counting on and back in steps of powers of 10 from any number up to 1 million
• Round numbers to the nearest 10, 100, 1000, 10000 or 100000.
• Count forwards and backwards through zero with positive and negative numbers.
• Read Roman numerals to 1000
• add and subtract with more than 4 digits in columns
• add or subtract larger numbers mentally
• solve multi-step problems using addition and subtraction
• Multiply and divide whole numbers and decimals up to 2dp by 10, 100 or 1000
• identify multiples and factors including common factors
• multiply up to 4-digit numbers by a 1-digit number
• multiply up to 3-digits numbers by 2-digits
• divide numbers up to 4-digits by a 1-digit number
• recognise and use squared and cubed numbers
• solve problems using multiplication and division
• know what a prime number is and recall prime numbers up to 20
• compare and order fractions whose denominators are multiples of the same number
• identify, name and write equivalent fractions
• convert between mixed numbers and improper fractions
• add and subtract fractions with the same denominator or whose denominators are multiples of the same number
• multiply proper fractions and mixed numbers by whole numbers
• read and write decimal numbers as fractions.
• Multiply and divide whole numbers and decimals by 10, 100 or 1000
• read, write, order and compare numbers up to 2dp
• round decimals with up to 2dp to the nearest whole
• solve problems with numbers up to 2dp
• understand and use the percent symbol
• convert percentages to fractions with a denominator of 100
• know fraction-percentage equivalence for halves, quarters, fifths and tenths
• solve problems using simple percentages
• measure, compare and calculate using different measures
• find the area and perimeter of a range of rectilinear shapes
• convert between different units of time
• convert between different units of metric measure
• convert between simple imperial and metric units
• solve more complex money and measure problems
• draw and measure angles in degrees
• know the sum of angles at a point (360°rees;) and angles at a point along a line (180°rees;)
• identify 3D shapes from 2D representations
• Identify, describe and represent the position of a shape following a reflection or translation
• find the area and perimeter of composite rectilinear shapes
• know properties of regular and irregular shapes

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 5 is generally equivalent to 4th Grade in the US.

On this page you will find link to our range of math worksheets for Year 5.

Quicklinks to Year 5 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

• Fractions & Percentages 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 5 place value worksheets.

Using these Year 5 maths worksheets will help your child to:

• Understand decimals;
• Use place value notation with tenths and hundredths;
• Know how to read and write numbers to 10 million;
• Understand place value to 10 million.
• Decimal Place Value Worksheets
• Year 5 Place Value up to 6 digits
• Comparing and Ordering Whole Numbers up to 6 Digits
• Ordering Decimals Worksheets
• Roman Numerals worksheets

Year 5 Number Worksheets

Using these Year 5 Maths worksheets will help your child to:

• learn to estimate and approximate;
• order numbers, including negative numbers and decimals;
• learn how to place decimal numbers on a number line;
• understand and use multiples and factors, and know what a prime number is;
• complete the missing number to balance a math equation.
• Factors and Multiples Worksheet
• Rounding Decimals to the nearest whole
• Rounding to the nearest tenth
• Balancing Math Equations

Year 5 Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 10;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• Counting on and back by tens

Year 5 Mental Maths Zone

Here you will find a range of printable Year 5 mental maths sheets for your child to enjoy.

Each quiz tests the children on a range of maths 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 test or math quiz!

• Year 5 Mental Maths Worksheet

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Year 5 Addition Worksheets

• add multiple numbers in columns up to 5 digits;
• add numbers in columns, including money amounts with up to two decimal places.
• Decimal Addition Worksheets (mental)
• Free Addition Worksheets (randomly generated)
• Addition Worksheets with Multi-Addends
• Money Addition Worksheets (£ )
• Money Worksheets (randomly generated)

Year 5 Subtraction Worksheets

• learn to subtract numbers with up to 5 digits;
• learn to subtract numbers involving money with decimals with up to two decimal places.
• Free Subtraction Worksheets (randomly generated)
• 5 Digit Subtraction Worksheets
• Money Subtraction Worksheets UK (£ )
• Subtracting Decimals Worksheets (mental)

Year 5 Multiplication Worksheets

Using these 4th grade math worksheets will help your child to:

• use their multiplication table knowledge to multiply by 10s and 100s mentally
• multiply any whole number by a single digit;
• multiply a two or three digit number by a two digit number.
• Times Table Worksheets Circles 1 to 12 tables
• Times Tables Worksheets (randomly generated)
• Multiplying Decimals by 10 and 100
• Multiply and Divide by 10 100 (decimals)
• Multiplying by Multiples of 10 and 100
• Single Digit Multiplication Graded Sheets
• Double Digit Multiplication Worksheets (Graded)
• Single Digit Multiplication Worksheets Generator
• Multi-Digit Multiplication Generator
• Multiplication Word Problems

Year 5 Division Worksheets

Using these Year 5 maths worksheets will help your child learn to:

• apply their division facts up to 10x10 to answer related questions involving 10s and 100s.
• divide any whole number by a single digit.
• Divding by Multiples of 10 and 100 Worksheets
• Year 5 (4th Grade) Long Division Worksheets

These sheets involve solving a range of division problems.

• Division Worksheets (Grade 4) Word Problems
• Division Facts Worksheets (randomly generated)

Year 5 Math Problems

• apply their addition, subtraction and problem solving skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

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

• 4th Grade Math Problems

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

• 4th Grade Math Word Problems

These sheets involve solving a range of multiplciation problems.

• Division Worksheets Grade 4 Word Problems

Fractions & Percentage Zone

Quicklinks to ...

• Year 5 Fractions Worksheets

Year 5 Percentage Worksheets

Year 5 fraction worksheets.

• position different fractions on a number line;
• understand equivalent fractions;
• understand what a mixed number is;
• compare two or more fractions;
• begin to convert fractions to decimals and decimals to fractions.
• Equivalent Fractions Worksheets
• Comparing Fractions Worksheet page
• Improper Fraction Worksheets
• Fractions of Numbers
• Convert Fractions to Decimal Sheets
• Convert Decimal to Fraction Sheets
• Free Printable Fraction Riddles (harder)

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

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

• Fractions Decimals Percents Worksheets
• Percentage Word Problems

Year 5 Geometry Worksheets

Using these sheets will help you to:

• classify angles - acute, obtuse, right, reflex, straight;
• classify triangles - acute, obtuse, right;
• measure angles using a protractor;
• know that angles in a triangle add up to 180°
• know the properties of regular and irregular shapes
• plot and write coordinates in the first quadrant.
• 4th Grade Geometry Worksheets
• Symmetry Activities
• Coordinate Worksheets (1st Quadrant)

Measurement Zone, including Time & Money

Year 5 measurement worksheets.

Using these sheets will help your child understand how to:

• read scales in both the standard and metric systems;
• read a scale going up in a range of fractions: halves, quarters and eighths;
• read a scale going up in tenths, fives, tens, fifties, and hundreds.
• 4th Grade Measurement Worksheets
• Converting Customary Units Worksheets
• Metric Conversion Worksheets

Area and Perimeter Worksheets

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

Year 5 Time Worksheets (4th Grade)

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

• tell the time to the nearest minute;
• become familiar with both digital and analogue times;
• add and subtract time intervals.
• Telling Time Worksheets Grade 4 (1 minute intervals)
• 24 Hour Clock Conversion Worksheets

On this webpage there is a selection of printable 24 hour (military time) conversion worksheets which will help you learn to convert from 24 hour clock to standard 12 hour time, and from standard time to 24 hour time.

Time Interval Worksheets

These sheets will help you learn to add and subtract hours and minutes from times as well as working out a range of time intervals.

• Add and Subtract Time Worksheets
• Elapsed Time Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these 4th grade math worksheets will help you to:

• draw and read bar graphs with increasingly complex numbers;
• read, interpret and draw line graphs;
• Year 5 Bar Graph Worksheets (4th grade)
• Year 5 Line Graph Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 5 maths games.

• Year 5 Math Games (4th Grade)

Year 5 Maths Puzzles

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

• Year 5 Maths Puzzles (4th Grade)

Math Salamanders Year 5 Maths Games Ebook

Our Year 5 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 5 Maths Games Ebook

Other UK Maths Worksheet pages

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

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Year 5 – Multiplication and Division

Welcome to Year 5 Multiplication and Division at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support multiplication and division lessons in Year 5 and at home.

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

Do Now Tasks / Starters

Differentiated question sets.

Short Multiplication Question Set

Short multiplication.

Faded Scaffolding Strips Short Multiplication –  2 Times Table

Faded Scaffolding Strips Short Multiplication –  3 Times Table

Faded Scaffolding Strips Short Multiplication –  4 Times Table

Faded Scaffolding Strips Short Multiplication –  5 Times Table

Faded Scaffolding Strips Short Multiplication –  6 Times Table

Faded Scaffolding Strips Short Multiplication –  7 Times Table

Faded Scaffolding Strips Short Multiplication –  8 Times Table

Faded Scaffolding Strips Short Multiplication –  9 Times Table

Faded Scaffolding Strips Short Multiplication

Short Multiplication 4 Digit x 1 Digit 2 Times Table

Short Multiplication 4 Digit x 1 Digit 3 Times Table

Short Multiplication 4 Digit x 1 Digit 4 Times Table

Short Multiplication 4 Digit x 1 Digit 5 Times Table

Short Multiplication 4 Digit x 1 Digit 6 Times Table

Short Multiplication 4 Digit x 1 Digit 7 Times Table

Short Multiplication 4 Digit x 1 Digit 8 Times Table

Short Multiplication 4 Digit x 1 Digit 9 Times Table

Strips Short Multiplication

Long Multiplication

Long Multiplication –  Multiplying by 11

Faded Scaffolding Strips Long Multiplication –  Multiply by 11

Long Multiplication – 3 Digit by 2 Digit

Strips- Long Multiplication 

Faded Scaffolding Strips Long Multiplication

Long Multiplication Faded Scaffolding- 2 Digit by 2 Digit 

Long Multiplication Faded Scaffolding- 3 Digit by 2 Digit 

Short division.

Faded Scaffolding Strips Short Division

Faded Scaffolding Strips Short Division – 2 Times Table

Faded Scaffolding Strips Short Division – 3 Times Table

Faded Scaffolding Strips Short Division – 4 Times Table

Faded Scaffolding Strips Short Division – 5 Times Table

Faded Scaffolding Strips Short Division – 6 Times Table

Faded Scaffolding Strips Short Division – 7 Times Table

Faded Scaffolding Strips Short Division – 8 Times Table

Faded Scaffolding Strips Short Division – 9 Times Table

Short Division – 4 Digit Divided by 1 Digit 2 Times Table 

Short Division – 4 Digit Divided by 1 Digit 3 Times Table 

Short Division – 4 Digit Divided by 1 Digit 4 Times Table 

Short Division – 4 Digit Divided by 1 Digit 5 Times Table 

Short Division – 4 Digit Divided by 1 Digit 6 Times Table 

Short Division – 4 Digit Divided by 1 Digit 7 Times Table 

Short Division – 4 Digit Divided by 1 Digit 8 Times Table 

Short Division – 4 Digit Divided by 1 Digit 9 Times Table 

Short Division –  No Remainders

Strips- Short Division- No Remainders

Short Division –  Remainders

Strips- Short Division- Remainders 

Short Division –  Decimal Remainder

Strips- Short Division Decimal Remainders 

Short Division- Decimal Remainders 

Short Division –  Remainders in Different Ways

Short Division –  Remainders as Fractions

Short Division –  Interpret Remainders in Context

Strips- Short Division Decimal Remainders

Multiply by 10, 100 and 1000.

Multiplying by 10, 100 or 1000

Multiplying by 10, 100 and 1000

Faded Scaffolding Strips Multiply by 10, 100 and 1000

Faded Scaffolding Strips- Multiply by 10, 100 and 1000- Whole Numbers

Divide by 10, 100 and 1000.

Dividing by 10, 100 and 1000

Dividing by 10, 100 or 1000

Faded Scaffolding Strips Divide by 10, 100 and 1000

Faded Scaffolding Strips- Divide by 10, 100 and 1000- Whole Numbers

Mixed multiplication & division by 10, 100 and 1000.

Multiplying and Dividing by 10, 100 and 1000

Faded Scaffolding Strips Multiply and Divide by 10, 100 and 1000

Multiply and Divide by 10, 100 and 1000 Do Now Tasks 

Multiply and Divide by 10, 100 and 1000 Do Now Tasks- Varied Representations 

Faded Scaffolding Strips- Multiply and Divide by 10, 100 and 1000- Whole Numbers

Using known facts.

Divide Using Known Facts to 1,000,000

Using Known Facts to 1,000,000

Multiply Using Known Facts to 1,000,000

Faded Scaffolding Strips- Divide Using Known Facts to 1,000,000 

Faded Scaffolding Strips- Multiply and Divide Using Known Facts to 1,000,000 

Faded scaffolding strips- multiply using known facts to 1,000,000 , factors, multiples, square, cubed and prime.

Strips Identify Common Factors of Numbers

Strips Identify Factors of Numbers

Identifying Factor Pairs

Identifying Prime Numbers

Strips Identify Multiples

Faded Scaffolding Strips- Identify Factors of Numbers 

Strips- Cube Numbers

Strips- Square Numbers

Equality and inequality statements, problem solving.

Problem Solving- Multiplication Facts 

Problem Solving- Short Multiplication

Word problems and challenges.

Prime Numbers Challenges

Long Multiplication Challenges

Factors Challenge

Multiples Challenges

Short Multiplication Challenges

Multiples Challenges 

Multiply and Divide Using Known Facts Challenges 

Multiplication and Division Mixed Word Problems 

Resources to support multiplication and division.

Long Multiplication Support

Stepes to Success

Short Multiplication – Steps to Success 

Long Multiplication – Steps to Success 

Short Division with Decimal Remainders- Steps to Success 

Short Division with Fraction Remainders- Steps to Success 

Divide by 10, 100 and 1000- Steps to Success 

Multiply by 10, 100 and 1000- Steps to Success 

Factors – Steps to Success 

Square Numbers- Steps to Success 

Common Factors – Steps to Success 

Cube Numbers- Steps to Success 

Prime Factors – Steps to Success 

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Multiplication and Division

These activities are part of our Primary collections , which are problems grouped by topic.

These lower primary tasks will help you to think about multiplication and division.

These upper primary tasks will help you to think about multiplication and division.

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Years 5 and 6: Multiplication and Division

This list consists of activities, games and videos designed to support the new curriculum programme of study in Years 5 and 6. Containing tips on using the resources and suggestions for further use it covers:

Year 5 : identifying factors and multiples, prime numbers and composite numbers, use formal methods for multiplication and division of up to 4 digits by 1 or 2 digit numbers, recognise and use square and cube numbers and solving problems involving one or more of the four operations.

Year 6 : formal written method of long multiplication/long division for numbers up to 4 digits by 2 digits, mental calculations, identify common factors, multiples and prime numbers, solving problems and estimating to check answers to calculations.  

Visit the primary mathematics webpage to access all lists:.

NRICH: Factors and Multiples Game

This game could be used to practise knowledge of factors and multiples. Children choose a number and then challenge a partner to find a factor or multiple of the number from their grid. Play it on sheets or interactively in pairs at the end of a lesson.

Multiplication and Division

Quality Assured Category: Mathematics Publisher: Department for Education

Interactive activities which show different methods of multiplication and division. Multiplication and division using partitioning allows teachers to demonstrate these methods to children on the interactive whiteboard.

Go Further with Games

Quality Assured Category: Mathematics Publisher: Unwin Hyman Ltd

40 games sheets related to many mathematical areas. Laminate and keep in a box for when they are needed.Sheet 2 looks at division with remainders.

The Multiplication card games help children consolidate multiplication facts.  

Multiple games using simple apparatus provides practice on specific multiples.

Factor games encourages students to think which numbers are factors of grid column and row headings.

Multiplication dice games practice mental single digit multiplication and keeping a running total.

Primary Progression in Multiplication Videos

Quality Assured Collection Category: Mathematics Publisher: NCETM

This series of short video clips look at elements of progression in multiplication across the primary school. Starting with various concrete representations using physical apparatus, children are guided into transferring to the calculations they represent. Children in years 5 and 6 may be at different stages in their mathematical learning, so may need to approach multiplication in a different way. The NCETM provides similar videos which show progression in other calculation strategies.

Models and images materials

This set of images and models, from the national strategies, give examples of key pictorial representations and abstracts which can enhance the teaching of mental calculation strategies through years one to three. In addition, the materials offer a list of potential difficulties and examples to illustrate progression through to years four, five and six.

Multiplication Makes Sense

Quality Assured Category: Mathematics Publisher: SMILE

15 activities focusing on multiplication

Page 24 is a children's worksheet which asks children to explain why the grid method of multiplication works for multiplying two 2-digit numbers. The grid method will have been used by most children at upper Key stage Two and for some it will be an efficient and understandable method. It also is a step along the way to developing a more formal written method, including long multiplication. See the models and images resource which shows example representations of multiplication and progression of learning.

Page 26 shows how long multiplication may be carried out using Gelosia, providing questions to calculate. The NRICH website contains an investigation which challenges children to use this method.

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You'll Have No Words Seeing This Precious 2-Year-Old Genius Do Multiplication on AGT

Simon Cowell pleads, “Get us a calculator!” and asks Baby Dev to negotiate his next deal in this incredible AGT Season 19 Audition.

While most toddlers are stacking blocks and coloring with crayons, this pint-sized genius does addition, subtraction, and multiplication on national television.

How to Watch

Watch America’s Got Talent Tuesdays at 8/7c on NBC and next day on Peacock . 

Devan is the youngest Act ever to light up the America’s Got Talent stage, and in the Season 19 premiere, we can see why. The sweet boy knocked everyone’s socks off as he sailed through three different math equations that, to be honest, had the Judges stumped .

“We’re all sitting here thinking the same thing: get us a calculator,” said Simon Cowell after the performance, adding, “I now feel really stupid.”

RELATED:  Who Are the America's Got Talent Season 19 Judges?

Baby Dev’s father, Duane, a retired police officer, told NBC Insider he noticed something very special about his son early on: “At 4 months old, we realized his love for numbers.”

Duane explained that when he exposed his son to early learning shows, Baby Dev would suddenly cry when they switched away from math. “And when we turned it back, he would stop. We’re like, all right, he has this love and passion for numbers,” he said.

How old is Baby Devan?

Devan is 2 years old, the youngest-ever contestant on AGT . 

From the moment Baby Dev fist-bumped Terry Crews backstage before his Season 19 debut, AGT fans were charmed. The precious boy laughed, jumped, and squealed with delight after solving equations and politely saying “hello” and “thank you” to the Judges while on stage with his proud dad.

“His first word before mama and dada was seven,” Duane told the Judges. “That’s my lucky number,” exclaimed Simon. And it seemed to be Baby Dev’s, too. Three whiteboards were set up on stage — two for multiplication and one for addition — with Judges calling out random numbers. When Baby Dev quickly solved 7 x 9, there was a stunned silence before the crowd erupted in applause.

How did Devan develop his math skills?

Duane explained to NBC Insider how he nurtured his son’s penchant for math.

“At age 1, we had bought him a writing tablet. We would practice writing numbers with him from 1 to 10… and we would practice writing every day, and by 15 months old, he knew how to write numbers on his own.” After mastering addition, the math prodigy moved on to subtraction and his times tables.

“We can just be in bed, and he’ll be like… ‘Math, please. I wanna do math, please,’ and then he’ll go to his writing board and just do math equations,” said his dad, who noted that the little boy always loved counting everything. “Cars on the street, birds, trees… he has number magnets that he carries with him like it’s a toy.”

Baby Dev does not receive formal tutoring, and as one audience member pointed out, “He’s not even using his fingers” to count. However, he might have one strict requirement when calculating: Not being interrupted. As Baby Dev tackled a math problem and jotted down numbers, Howie Mandel loudly whispered, “We get to see the process.”

We can just be in bed, and he’ll be like… ‘Math, please. I wanna do math, please!’” Duane, Baby Dev's dad

The toddler shot him a look that could freeze water. After a long pause and some shushing directed toward Mandel, Baby Dev continued on and solved the final equation. He was unanimously voted on to the next round — but he may have something extra on his plate, too.

When Simon asked, “Devon, will you help me negotiate my next deal?” the little cutie responded, “Yes!”

Obviously this charming youngster moved on to the next round of the competition where fans are surely eager to see what mathematical wizardry he'll come up with next. 

Watch all-new episodes of  America’s Got Talent , airing Tuesdays at 8/7c on NBC   and streaming the next day on  Peacock .

-  Reporting by McKenzie Jean-Philippe

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Year 5 - Mixed Multiplication and Division Word Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

16 January 2024

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This resources is designed for Year 5 Maths. It covers mixed multiplication and division with remainders. It includes a variety of problem solving questions.

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