year 2 problem solving multiplication

Multiplication & division in Year 2 (age 6–7)

In Year 2, your child will solve multiplication and division problems using the 2, 5, and 10 multiplication tables.  They will use the ‘×’, ‘÷’, and ‘=’ symbols to record calculations.

The key words for this section are  commutative , array , and inverse operations .

What your child will learn

Take a look at the National Curriculum expectations for multiplication and division in Year 2 (age 6–7):

Learn the 2, 5, and 10 times tables

Your child will be introduced to the times tables this year. Children will work out and begin to know facts in the 2, 5, and 10 times tables and connect them to each other. They will be also be able to work out related division facts. For example:

Your child might know that   5 × 7 = 35 . From this, they can work out related division facts:   35 ÷ 7 = 5   and   35 ÷ 5 = 7 .

Your child will also be expected to recognise odd and even numbers up to 100.

Use the multiplication (×), division (÷), and equals (=) signs

Show that multiplication can be done in any order (and division cannot).

Your child will learn that when they are multiplying numbers, they get the same product no matter what order they multiply the numbers. This means that multiplication is   commutative . For example:

10 × 5 = 50 5 × 10 = 50

Your child will learn that the order of the numbers   does   matter when using division. This means that, unlike multiplication, division is   not   commutative. For example:

10 ÷ 5 = 2 5 ÷ 10 = 0.5

Solve problems in contexts using lots of different methods

Your child will learn a variety of methods to calculate multiplication and division problems. For multiplication, these might include:

• Counting in steps of 2, 5 or 10 mentally
• Using objects or drawing pictures
• Using number lines to count forwards in steps
• Using the bar model or area/grid method .

They may solve division problems by:

• Sharing or grouping objects equally
• Using a number line to count backwards in steps of 2, 5 or 10
• Using their understanding of inverse to use multiplication to work out division problems. For example, when solving 8 ÷ 2, children may count in steps of two to find out how many groups of 2 there are in 8.

Your child will be expected to choose a method to solve a problem and to be able to check their answer using a different method.  They will also be expected to explain how they have solved a problem, and to talk about why they chose a particular method.

How to help at home

There are lots of quick and easy ways that you can help your child to understand multiplication and division. Here are just a few ideas to support your child’s learning:

1. Talk about odd and even numbers

Ask your child to explain what they know about odd and even numbers. For example, you could ask your child if 8 is an odd or an even number. If you want to help them understand better, everyday objects such as buttons or pasta are great for learning about odd and even numbers.

Even numbers can be divided equally into two whole numbers, and odd numbers cannot. To find out if a group of objects is odd or even, your child could therefore share them into two equal groups. If the objects   can   be shared equally between two groups, then the number of objects is even. If the objects   cannot   be shared equally between two groups, then the number of objects is odd.

Ask your child about odd or even numbers whenever you see an opportunity. For example, is there an odd number of apples in the bags at supermarkets? Is there an odd or even number of people eating dinner tonight?

Help your child recognise that the last digit (the ‘ones’ digit) of even numbers will always be 0, 2, 4, 6, or 8 and that last digit of odd numbers will always be 1, 3, 5, 7, or 9. The rest of the digits in the number don’t matter. Show your child a number such as 36 and ask them if the number is odd or even and ask them to explain why. For example, 36 is even because the ones digit is 6, which is an even number.

2. Practise multiplication

Your child will explore multiplication using arrays. Arrays are sets of objects arranged in rows and columns to make a rectangle. Help your child recognise arrays in the real world. Egg boxes, ice cube trays, and windows in a building can all be arrays.

You could play a game with your child to spot arrays when you are travelling to school or going on a walk. It could also be a good idea to ask your child to build arrays from small objects like grapes or buttons. Can they arrange the objects into different arrays? For example, 6 objects can be made into several different arrays:

Times tables

Your child will be introduced to times tables at school. The focus this year will be on the 2, 5, and 10 times tables.

Find out what multiplication facts your child already knows, and then see if they can work out more. For example:

Your child might already know that 2 × 5 = 10.   They could use this to work out 2 × 6 by adding another group of 2 to make 12.

Write down the multiplication tables for the 2, 5, and 10 times tables on individual pieces of paper or sticky notes. Ask your child to choose a multiplication calculation such as 8 × 5 and explain how they would work out this problem. If your child knows the answer immediately, ask them what other facts they know. Challenge them to beat the clock when they are reciting their multiplication facts!

Activity: Times tables wall charts

3. Practise division

Division can be best understood as   sharing   and   grouping .

Division by sharing

Ask your child to explore division by sharing objects equally. For example:

8 ÷ 2 could be solved by sharing 8 toys into 2 equal groups. The answer is 4, because each group has four toys.

Toys, pieces of pasta, and buttons are all good to practise with.  Ask your child to find out how many objects there are to begin with. Can they share the objects equally between the two of you? Help them to share objects one at a time between the two groups. When all the objects have been shared, ask your child how many there are in each group. If you have the same number, explain that your child has shared the objects equally into two groups which is the same as dividing by two.

If you do not have the same number, ask your child if the objects have been shared equally. For example, ‘we started with 11 objects and shared them into two groups and I have 6 objects and you have 5 objects. Are they equal? If they are not equal then 11 cannot be shared equally into two groups so 11 cannot be divided by 2 equally using whole numbers or objects.’

Video: How to do division by sharing

Division by grouping

It’s important that your child also understands division as grouping. Again, you can use any objects from around your home to practise division as grouping.

Ask your child to find out how many there are in a group of toys or pieces of fruit. Explain to them that you want to find out how many groups of two there are in the total group. Help your child to take two items at a time and count how many groups of two there are in the total number.

For example, if you had 8 objects and wanted to divide by grouping this could be seen as ‘How many groups of 2 are there in 8?’. Ask and support your child to explain that they have divided the 8 objects by grouping them in twos and finding out how many groups of 2 there are in the total group of 8 objects.

Video: How to do division by grouping

4. Find connections in multiplication and division

It will be helpful for your child if they can make connections in multiplication and division. Encourage them to explore the connections between multiplication, arrays and repeated addition.

In terms of division, encourage your child to:

• Use grouping, sharing, and arrays
• Think about the relationship between division and repeated subtraction
• See the connections between fractions and division (for example, 40 ÷ 2 = 20, 20 is half of 40).

You can also help your child use  commutativity and inverse relationships to solve calculations. For example:

If they know that 4 × 5 = 20 , then they know 5 × 4 = 20 because multiplication is commutative (i.e. can be done in any order).   If they know that 4 × 5 = 20 , then they know 20 ÷ 5 = 4 and 20 ÷ 4 = 5 because multiplication and division are inverse operations.

Arrays also provide a great opportunity for children to explore the connections between multiplication and addition, as well as multiplication and division. Give your child a multiplication calculation from the 2, 5, or 10 times tables and ask them to tell you or write down any other related addition, multiplication or division facts. Talking through how they know each fact will help them to understand how the operations relate to each other.

5. Use the language of multiplication and division

It’s helpful to be able to use the language of multiplication and division when talking with your child. Multiplication language includes product ,  multiply ,  multiple ,  times ,  repeated addition ,  equal  groups , and  array . Division language includes  divide ,  sharing equally ,  grouping equally ,  arrays ,   and  remainder .

You can help your child learn these terms by asking them to use this language to explain how they solved a problem. It may be helpful to have the mathematical words written on cards for your child to refer to.

You could also make or print out multiplication and division words cards and ‘×’ and ‘÷’ symbol cards. Help your child read each card and then sort the cards into words that describe multiplication (×) or division (÷). Are there any words that could be placed in both groups? Talk with your child about why these words. This will help them to understand the links between multiplication and division.

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2nd Grade Math Worksheets: Multiplication

Grade 2 multiplication worksheets.

These grade 2 multiplication worksheets emphasize early multiplication skills ; in particular recall of the 2, 5 and 10 'times tables', multiplying by whole tens and solving missing factor problems.

Sample Grade 2 Multiplication Worksheet

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 2 - multiplication and division word problems, differentiated 3 ways

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

2 September 2022

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Fantastic, thanks. The pictures add interest and help to contextualise the word problems which some year two children can find daunting.

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Free Printable Multiplication Word Problems Worksheets for 2nd Year

Multiplication Word Problems: Discover a collection of free printable worksheets tailored for Year 2 students, designed to help them master math multiplication through engaging word problems. Empower your teaching with Quizizz resources!

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Explore printable Multiplication Word Problems worksheets for 2nd Year

Multiplication Word Problems worksheets for Year 2 are an excellent resource for teachers looking to enhance their students' math skills. These worksheets provide a variety of engaging and challenging problems that help students develop a strong foundation in multiplication, a crucial skill for success in higher-level math courses. By incorporating these worksheets into their lesson plans, teachers can ensure that their students are getting the practice they need to master multiplication concepts. Additionally, these worksheets can be used as a tool for assessment, allowing teachers to monitor their students' progress and identify any areas where additional support may be needed. With a wide range of problems and difficulty levels, Multiplication Word Problems worksheets for Year 2 are a valuable addition to any teacher's math curriculum.

Quizizz is a fantastic platform that offers a variety of educational resources, including Multiplication Word Problems worksheets for Year 2. Teachers can use Quizizz to create interactive quizzes and games that engage students and make learning math fun and exciting. In addition to worksheets, Quizizz also offers a vast library of pre-made quizzes and activities that cover a wide range of math topics, making it easy for teachers to find the perfect resource for their students. The platform also provides valuable analytics and insights, allowing teachers to track their students' progress and identify areas where they may need additional support. By incorporating Quizizz into their lesson plans, teachers can create a dynamic and engaging learning environment that helps students develop a strong foundation in math and excel in Math Word Problems.

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Year 2 Maths Worksheets UK Hub Page

Welcome to Math Salamanders Year 2 Maths Worksheets hub page.

In our Year 2 area, you will find a wide range of printable math worksheets and Maths activities for your child to enjoy.

Come and take a look at our dot-to-dot pages, or our maths games. Perhaps you would prefer our 2d shape worksheets, or learning about numbers using our number line worksheets?

Hopefully you will find something here to meet your child's maths requirements!

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• This page contains links to other Math webpages where you will find a range of activities and resources.
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Year 2 Maths Learning

Here are some of the key learning objectives for the end of Year 2:

• know and use Place value up to 100
• Compare and order numbers up to 100
• Counting on and back in 1s and 10s
• count in 2s, 5s and 10s
• Position numbers on a number line up to 1000
• use addition and subtraction facts to 20
• use related facts for addition and subtraction
• add or subtract 1 or 10 from a 2-digit number
• add and subtract 2-digit numbers
• number bonds to 100 using tens only
• add three single-digit numbers
• recognise and make equal groups
• use the x symbol to write multiplication sentences
• use arrays and pictures to represent multiplication sentences
• know multiplication facts for the 2, 5 and 10 times table
• recognise and find a half, a quarter and a third
• understand and use fraction notation
• understand the equivalence of a half and two-quarters
• count on in halves, thirds and quarters up to 10
• count in pence: 1p, 2p ,5p, 10p and 20p
• count in pounds: £1, £2, £5, £10 and £20
• find a simple total or difference between two money amounts
• find the change from simple amounts
• tell the time: o'clock, half-past, quarter-past and to
• understand and compare durations of time
• compare and measure length, mass, volume, capacity and temperature
• read a variety of scales going up in 1s, 2s, 5s and 10s
• recognise 2D and 3D shapes
• count sides and vertices on 2D shapes
• count faces, edges and vertices on 3D shapes
• sort and make patterns with 2D and 3D shapes
• describe movement and turns
• make tally charts
• draw and interpret pictograms
• understand and use block diagrams

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 2 is generally equivalent to 1st Grade in the US.

On this page you will find link to our range of math worksheets for Year 2.

Quicklinks to Year 2 ...

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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 2 Place Value Charts

Here you will find a range of Free Printable Place Value Charts for Year 2.

These printable charts will help your child learn to read and write numbers.

Some of the charts are partially filled to help your child learn their place value.

Using these sheets will help your child to:

• learn to count in tens and ones;
• learn to read and write numbers.
• Printable Number Charts 0-99
• Hundred Number Charts (100 Squares)
• Number Grid up to 200

Place Value and Counting Worksheets

Here you will find a range of Year 2 Place Value Worksheets.

These Year 2 maths worksheets will help your child learn their place value, reading, writing and ordering numbers up to 100.

There are also some money worksheets involving counting in dimes and pennies to support place value learning.

• learn to order numbers to 100;
• learn to count in dimes and pennies;
• learn to read and write numbers to 100.

Year 2 Place Value Worksheets

• Place Value to 20 Worksheets
• Math Place Value Worksheets Tens and Ones
• Ordering 2-digit numbers Worksheets
• Greater than Less than Worksheets - up to 2 digit numbers
• Printable Counting Worksheets to 50
• Missing Number Chart 1-100
• Counting by 2s Worksheets
• Math Worksheets Counting by 1s 5s and 10s

Number Line Worksheets

Here is our selection of free printable number line worksheets for Year 2 pupils.

These first grade math worksheets will give your child a good grasp of place value and number sequences up to 100.

• count on and back by ones;
• position numbers to 100 on a number line.
• Number lines to 20
• Number lines to 100

Year 2 Mental Maths Zone

Here you will find a range of printable mental math sheets designed especially for Year 2 children.

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

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

• Year 2 Printable Mental Maths

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Year 2 Addition Worksheets

Here you will find a range of Free Printable Addition Worksheets to support Year 2.

The following first grade math worksheets involve adding different amounts.

• learn their addition facts to 12+12;
• learn to solve an addition fact where one of the addends is missing;
• learn to add numbers in columns up to 100.
• Number Bonds to 10 and 12
• Addition Sentences to 12
• Addition Fact Practice to 12
• Addition Facts to 20 Worksheets
• Adding tens
• Addition Word Problems
• 2 Digit Addition Without Regrouping
• 2 Digit Addition Worksheets With Regrouping
• Free Addition Worksheets (randomly generated)

Year 2 Subtraction Worksheets

Here you will find a range of Year 2 Subtraction Worksheets.

The following worksheets involve using the Math skills of subtracting.

Using these Year 2 maths worksheets will help your child to:

• learn their addition and subtraction facts to 12;
• learn to subtract 2 digit numbers.
• Subtraction Facts to 12
• Subtracting tens
• Subtraction Word Problems
• Two Digit Subtraction Worksheets Without Regrouping
• 2 Digit Subtraction Worksheets With Regrouping
• Free Subtraction Worksheets (randomly generated)

Addition & Subtraction Worksheets

If you need to mix and match addition and subtraction fact questions within the same sheet, then use this section here.

The addition and subtraction worksheets involve counting on and back with numbers to 12.

• Math Activities Addition and Subtraction to 12
• Add and Subtract 10 Worksheets
• Addition Subtraction Worksheets (randomly generated)
• Addition and Subtraction Problems

Year 2 Maths Word Problems

Here you will find a range of math word problems aimed at Year 2 level. Each problem sheet is based on an interesting theme such as parties or the seaside.

• Add and subtract with numbers to 12;
• order numbers to 100;
• solve a range of math problems.
• Maths Problems for Year 2

Longer Math Problems

• Year 2 Maths Problems (1st Grade)

Year 2 Geometry Worksheets

Here is a range of free geometry worksheets for Year 2 pupils.

The following worksheets will help your child to:

• Identify and name a range of 2d and 3d shapes;
• Draw 2d shapes;
• Know some of the properties of 2d shapes.
• Year 2 Geometry Worksheets (1st Grade)

Measurement Zone, including Time & Money

Year 2 measurement worksheets.

Here is our selection of measurement worksheets for Year 2 pupils.

These sheets involve reading scales going up in ones to find the weight or liquid capacity.

Using these sheets will help children to consolidate their counting as well as learning to read a simple scale.

• Year 2 Measurement Worksheets (1st Grade)

Year 2 Money Worksheets

Here you will find a range of free printable First Grade Money Worksheets.

The following worksheets involve counting different amounts of money in pennies, nickels and dimes.

• learn the names and values of the US coins;
• learn to count up different amounts of money to £1 in coins.
• Free Counting Money Worksheets UK Coins (easier)
• Free Money Worksheets UK Coins up to £1

Printable Money Resources

• Printable Money Flashcards
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Telling the Time Worksheets

Here is our selection of telling the time worksheets for 1st grade.

• read o'clock and half-past times;
• convert o'clock and half-past times to digital;
• draw clock hands correctly to mark out o'clock and half-past.

The year 2 maths worksheets in this section will help your child learn to tell simple times on an analogue clock.

• Telling Time Worksheets o'clock and half-past
• Clock Worksheets - Quarter Past and Quarter To

Year 2 Bar Graph Worksheets

Here is our selection of bar graphs for first graders.

These Year 2 maths worksheets involve reading and interpreting a range of bar graphs and picture graphs with a scale going up in ones.

Using these sheets will help children to understand how bar graphs work.

• Year 2 Picture/Bar Graphs (First Grade)

Fun Zone: Puzzles, Games and Riddles

Year 2 Maths Games

Here you will find a range of free printable Math games. All children like to play Math games, and you will find a good range of Maths Games at a Year 2 level here for your child to play and enjoy.

• Year 2 Maths Games (First Grade)

Year 2 Maths Puzzles

Here you will find a range of printable Year 2 level math puzzles for your child to enjoy.

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

Using these puzzles will help your child to:

• develop thinking and reasoning skills;
• develop perseverance.
• Year 2 Maths Puzzles (1st Grade)
• Dot to Dot up to 50

Math Salamanders Year 2 Maths Games Ebook

Our Year 2 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 2 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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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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2-year-old goes viral for solving mind-blowing math equations on “america’s got talent,” watch.

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A 2-year-old math enthusiast is going viral for his jaw-dropping number skills.

An adorable toddler named Devan visited the stage of America’s Got Talent , which premieres tonight (May 28), to showcase his math skills for judges Simon Cowell, Sofía Vergara, Heidi Klum, and Howie Mandel.

Devan auditioned for a spot as a contestant this season. While we don’t know if he was successful yet, a preview of his apperance proves that the 2-year-old is a tiny genius.

View this post on Instagram A post shared by America's Got Talent – AGT (@agt)

An audition clip shows the judges asking Devan to first solve more simple math questions—though they are not simple for a 2-year-old. Then they gradually made the equations more challenging. The video doesn’t reveal if Devan answers his final questions correctly. We have to tune in to see how it turns out.

The 2-Year-Old Started Showing Interest In Math At Only 4 Months Old

Devan has been amassing amazed fans with his Instagram and TikTok accounts, Devan Loves Numbers. He currently has almost 900K followers on IG. And he has over 1.3 million on TikTok, which is how he ended up on the show.

“We had posted him on TikTok and it went viral,” Devan’s dad, Duane, told Long Island Press . “One of the producers had seen it and reached out to us saying he thought Devan was a good fit for America’s Got Talent .”

“At first, we thought America’s Got Talent was only for singers and acting performances. And I was not sure how a 2-year-old doing math would be on the show,” he continued. “But, Devan assured us that he would be great.”

Duane shared that his son has been into numbers for nearly his entire life. His parents noticed Devan’s curiosity when he was only a few months old.

“At 4 months old we realized his love for numbers,” Duane continued. “When we were showing him learning shows, if we would change the channel from the math shows, he would start to cry and when we would change it back he would stop.”

The tot is currently mastering subtraction, addition, division, and multiplication. He’s also doing well with Roman numerals and exponents.

“It is never too early to start teaching your child numbers. Devan is proof of that. And we just want to inspire kids, parents, and soon-to-be parents that when you start from an early age this is the result that you will get,” he noted.

Watch the 2-year-old showcase his math skills when America’s Got Talent premieres tonight at 8 PM EST on NBC.

You can find the source of this story’s featured image here .

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