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Multiplication Word Problem Worksheets

This page hosts a vast collection of multiplication word problems for 3rd grade, 4th grade, and 5th grade kids, based on real-life scenarios, practical applications, interesting facts, and vibrant themes. Featured here are various word problems ranging from basic single-digit multiplication to two-digit and three-digit multiplication. Another set of printable worksheets hone children's multiplication skill by multiplying large numbers. Free worksheets are included.

Single-digit Multiplication Word Problems

The printable PDF worksheets presented here involve single-digit multiplication word problems. Each worksheet carries five word problems based on day-to-day scenarios.

• Download the set

Multiplication Word Problems: Two-digit times Single-digit

The word problems featured here require a grade 3 learner to find the product by multiplying a two-digit number by a single-digit multiplier.

Multiplication Word Problems: Two-digit times Two-digit

The worksheets presented here involve multiplication of two-digit numbers. Read the word problems and find the product. Apply long multiplication (also known as column multiplication) method for easy calculation.

Theme Based Word Problems

Our engaging theme-based pdf worksheets help young minds understand the fundamentals of multiplication. Answer the word problems based on three fascinating themes - Winter Season, Ice rink and Library.

Multiplication Word Problems: Three-digit times Two-digit

Read the word problems featured in these printable worksheets for grade 4 and find the product of three-digit and two-digit numbers. Write down your answers and use the answer key below to check if they are right.

Three-digit Multiplication Word Problems

Solve these well-researched word problems that involve three-digit multiplication. Perform multiplication operation and carry over numbers carefully to find the product.

Multiplication: Three or Four-digit times Single-digit

The word problems featured here are based on practical applications and fact-based situations. Multiply a three or four-digit number by a single-digit multiplier to find the correct product.

Multi-digit Word Problems: Multiplying Large Numbers

Sharpen your skills by solving these engaging multi-digit word problems for grade 5. Apply long multiplication method to solve the problems. Use the answer key to check your answers.

Related Worksheets

» Addition Word Problems

» Subtraction Word Problems

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Multiplication Tables Online practice

On this page, you can practice any combination of the multiplication tables — very helpful for students in elementary and middle school. You can practice any single times table (such as multiplication by 9), or several tables (such as tables of 2 and 5), or all of them.

You can choose timed or untimed practice, the number of practice problems, and which exact times tables you'd like to work on.

• Multiplication Matching Game
• Math Mammoth Multiplication 1 — a self-teaching worktext helping you learn all the multiplication tables
• Learn and Master the Times Tables! — an interactive course at TinyTap, based on my book Multiplication 1 .
• Mathy's Berry Picking Game
• Structured drill videos for the multiplication tables

Math Mammoth Multiplication 1

A self-teaching worktext that covers the concept of multiplication from various angles, word problems, a guide for structural drilling, and a complete study of all 12 multiplication tables.

Available both as a download and as a printed copy .

PDF download USD $5.60

→ Learn more and see the free samples!

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Beastly lesson.

If you have a minute, check out this short & lighthearted video about our PETS. (It's kind of silly, yet has an important message for all of us kids and parents.)

Sincerely, Maria

P.S. It does briefly mention God in one spot.

How to do long multiplication

Multiplying large numbers is easy when breaking down the problem into parts!

Author Amber Watkins

Published November 14, 2023

Published Nov 14, 2023

• Key takeaways
• Long multiplication makes multiplying large numbers easy by breaking them down into parts
• Mastering long multiplication takes practice, but it’s a very important skill that will help with maths more widely 

Table of contents

What is long multiplication?

• Practice questions

Are you encountering large numbers in maths? They can seem a bit scary at first! But luckily, there’s a silly saying that can help: ‘How to eat an elephant? One bite at a time!’. It teaches us that if you have a large task, the best way to do it is in parts.

The same can be true with multiplication. When we are given large numbers to multiply, instead of trying to do the problem all at once in our heads, we can multiply those numbers in parts. 

When we multiply large numbers in parts, then add those parts together, it’s called long multiplication.

Long multiplication is the steps you follow to multiply larger numbers in an easy way. Long multiplication allows you to find partial answers and add them together to find the final product. 

For example, instead of multiplying the numbers 64 x 32 as they are, you can break up the number 32 into two parts: 30 and 2, then multiply those parts by 64. It would look like this: 

(64 x 2) +  (64 x 30) 128   +  1,920 You would get a total of 2,048. Multiplying in parts, and then adding the products together, makes multiplying large numbers easy!

How to set up a long multiplication problem

When doing long multiplication problems in a column method, you first line up the numbers you’re multiplying in columns.

For example, would we set up the problem 64 x 32 using the column method? 

• The number 62 would be written above the number 32. The equal sign will be represented with a line underneath
• You will also have two or more rows beneath. This is where you write the partial products. The first partial product is written in the first row, the second partial product is written in the second row, and so on. 

Let’s keep this in mind when reviewing the steps for how to do long multiplication .

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Shape, space and measure

Number and place value, addition and subtraction, multiplication and division, operations (asmd), shape/geometry, ratio and proportion, probability, sample questions, long multiplication methods: column method.

Let’s learn the use what’s known as the column method to solve the following problem:

What is 33 x 21?

1. Line up the numbers in a column format.

2. Multiply each top digit by the last digit in the bottom number. Place each answer in the first row from right to left. You should have the number 33 in the first product row.

3. Once each of the top digits is multiplied by that number, cross it off. 4. Next add a zero as a place value holder in the second row to represent already multiplying by the digit in that place value.

5. Multiply each top digit by the first digit in the bottom number. You will have the number 660 in the second partial product row.

6. Finally add the two products 31 and 660 to get the final answer of 693.

Explore long multiplication with DoodleMaths

DoodleMaths  is an award-winning app that’s filled with thousands of questions and games exploring multiplication, division and more!

Designed by teachers, it creates each child a unique work programme tailored to their needs, doubling their progression with just 10 minutes of use a day.  Try it for free !

Carry-over rule while doing long multiplication

If you multiply two digits and the answer is in the double digits, the carry-over rule says you must write the second digit in the partial product line, and the first digit above the next number you will need to multiply. That way it carries over. 

Let’s see how these long multiplication steps and the carry-over rule work

Long multiplication practice questions

Click on the boxes below to see the answers!

• Write 72 and 24 in columns. 
• Multiply  2 x 4  and 7  x 4 and write the answers in the first row. 
• Cross off the 4 and add a zero placeholder in the second row. 
• Multiply 2 x 2 and 7 x 2 and write the answers in the second row. 
• Add both columns together to get 1,728 .
• Write 48 and 62 in columns. 
• Multiply 8 x 2 and 4 x 2 and write the answers in the first row. 
• Cross off the 2 and add a zero placeholder in the second row. 
• Multiply 8 x 6 and 4 x 6 and write the answers in the second row. 
• Add both columns together to get 2,976
• Write the second number 54  in expanded form: 50 + 4. 
• Multiply 98 times the first part 50. Multiply 98 x 5 and add a zero to the answer: 4,900.
• Next multiply 98 times the second part 4: 392. 
• Finally, add those two partial products together: 4,900 + 392 = 5,292

Long multiplication method: horizontal method

There’s also another way to do long multiplication – the horizontal method. The horizontal method allows us to break up the second number in parts and multiply those parts by the first number. Let’s learn how to do long multiplication with the horizontal method. Let’s look at this example.

Multiply 43 x 65 using the horizontal method 1. Write the second number 65 in Expanded form. Those two numbers will be the parts we multiply the first number 43 by. 65 in Expanded form is 60 + 5.                     2. Begin by multiplying 43 by the first part, 60. This can be done by multiplying 43 x 6, then adding a zero to the answer.

43 x 6 is 258.

Then add a zero, so it would be 258 0 . 3. Next we will multiply 43 by the second part 5. 

43 x 5 is 215. 4. Finally, we add the two partial products together to get the final answer.

2580 + 215 is 2,795. 

FAQs about long multiplication

You do long multiplication by multiplying numbers in parts. You multiply each digit in the top number, by each digit in the bottom number. Finally, you add the partial products to get the final answer. 

Long multiplication helps make multiplication with large numbers easy. The more you practice long multiplication, the easier these problems will be.

The long multiplication method is often called the column method. This is because the numbers you multiply are written above and below one another in columns.

You begin learning long multiplication in Year 5 and learn to multiply even larger numbers in Year 6. 

Lesson credits

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring. "Knowing that my work in math education makes such an impact leaves me with an indescribable feeling of pride and joy!"

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring . "Knowing that my work in math education makes such an impact leaves me with an indescribable feeling of pride and joy!"

Related posts

How to multiply fractions

Take your learning further by exploring how to multiply fractions 

Easy ways to learn times tables

Take a look at our tips for learning the 1-12 times tables off by heart

The best order to learn times tables

We outline the best (and easiest!) order to learn the 1-12 multiplications in

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Multiplication Printable Worksheets Hub Page

Welcome to the Math Salamanders Multiplication Printable Worksheets.

Here you will find a wide range of free printable Multiplication Worksheets which will help your child improve their multiplying skills.

Take a look at our times table worksheets, or check out our multiplication games or some multiplication word problems.

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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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Multiplication Learning

Once children have mastered place value to 100, and learn to count in steps of 2, 5 and 10, they are ready to start multiplication. Multiplication follows on naturally from counting in steps of different sizes.

When children first learn multiplication, the learning is linked to addition which they are already very familiar with. So 2 + 2 + 2 + 2 becomes 2 four times or 2 x 4 (or 4 x 2).

Once children have understood what multiplication is, they are then ready to start learning their tables, learning to multiply by one or two digit numbers, and then applying their knowledge to solve problems.

At the very last stage in elementary math, they are ready to start multiplying decimals.

The multiplication printable worksheets below will take your child through their multiplication learning step-by-step so that they are learning the math skills to move on to the next step, as well as starting off at a nice easy level to gain confidence.

Quicklinks to:

Multiplication Worksheets by Grade

• Times Table Worksheets
• Multiplying by 10s and 100s

Multiplication Facts with Decimals

• Short/Long Multiplication
• Negative Number Multiplication
• Multiplication Word Problems

Multiplication Resources

• Multiplication Games

Multiplication Printable Worksheets

Here you will find our selection of free resources such as flashcards, multiplication charts and grids to help your child to learn their multiplication facts.

Printable Multiplication Flashcards

Here you will find a selection of Multiplication Flashcards designed to help your child learn their Multiplication facts.

Using flashcards is a great way to learn your Multiplication facts. They can be taken on a journey, played with in a game, or used in a spare five minutes daily until your child knows their Multiplication facts off by heart.

Using these flashcards will help your child to:

• Learn their multiplication facts for the Multiplication tables.

All the free Math flash cards in this section are informed by the Elementary Math Benchmarks for 2nd and 3rd Grade.

• Printable Math Flash Cards 2 3 4 5 10 Times Tables
• Free Math Flash Cards 6 7 8 9 Times Tables

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Multiplication Times Table Charts

Here you will find a selection of Multiplication Times Table Charts to 10x10 or 12x12 to support your child in learning their multiplication facts.

There is a wide selection of multiplication charts including both color and black and white, smaller charts, filled charts and blank charts.

Using these charts will help your child to:

• Learn their multiplication facts to 10x10 or 12x12;
• Practice their multiplication table.

All the free printable Math charts in this section are informed by the Elementary Math Benchmarks.

• Large Multiplication Chart
• Large Multiplication Charts Times Tables
• Multiplication Times Tables Chart to 10x10
• Times Table Grid to 12x12
• Individual Times Table Chart Tables 1 to 6
• Individual Times Table Charts Tables 7 to 12
• Blank Multiplication Charts to 10x10
• Blank Printable Charts to 12x12

Second Grade Multiplication

• Understanding Multiplication Worksheets
• Multiplication to 5x5 Worksheets
• Multiplication Word Problems 2nd Grade

3rd Grade Multiplication

Understanding multiplication.

• Understanding Multiplication Facts Worksheets to 10x10
• Multiplication Table Worksheets - 2 3 4 5 10
• Multiplication Drill Sheets 6 7 8 9
• Fun Multiplication Worksheets to 10x10
• Circle Times Tables Worksheets 1 to 10 tables
• Times Table Worksheets Circles 1 to 12 tables

Multiplying integers by 10 and 100

• Multiplying by 10 and 100 Worksheets
• 2-Digit Multiplication Worksheets
• Multiplication Word Problem Worksheets 3rd Grade

4th Grade Multiplication

• Times Tables Worksheets (randomly generated)
• Multiplying by Multiples of 10 and 100
• Single Digit Multiplication Graded Sheets
• Double Digit Multiplication Worksheets (graded)
• Multiplication Word Problems 4th Grade

5th Grade Multiplication

• Multiplying Decimals by 10 and 100
• Multiply and Divide by 10 100 (decimals)
• Multiplying Decimals by Whole Numbers
• Decimal Multiplication Worksheets to 1dp
• Decimal Multiplication Worksheets to 2dp
• Multiplication Word Problems 5th Grade

Multiplication Times Tables Sheets

Here you will find a selection of Mental Multiplication sheets designed to help your child improve their mental recall of Multiplication Facts and learn their times tables.

As your child progresses through the grades, they will learn their multiplication table to 5x5 and eventually to 10x10, or 12x12.

Once they know their multiplication facts, they can start to learn related facts, e.g. if 3 x 4 = 12, then 30 x 4 = 120 and $300 x 4 = $1200.

The multiplication printable worksheets below will support your child with their multiplication learning.

• Math Times Table Worksheets

Multiplication by 10s and 100s

These Multiplication Printable Worksheets below are designed to help your child improve their ability to multiply a range of numbers by multiples of 10 and 100 mentally.

The following sheets develop children's ability to use and apply their tables knowledge to answer related questions.

Using these sheets will help your child to:

• practice their multiplication table facts;
• multiply a range of numbers by 10 and 100;
• learn to use their multiplication tables to multiply by 10s and 100s.

These sheets are designed for 3rd and 4th graders.

• Multiplying by 10 and 100 Worksheets (whole numbers)

These sheets are designed for 4th and 5th graders.

• Multiplication Fact Sheets by 10s 100s

These Multiplication Printable Worksheets below involve children using their multiplication table facts to answer related questions involving decimals.

Before your child tries written multiplication methods involving decimals, they should be confident using their multiplication table facts to multiply simple decimals mentally.

• consolidate and practice their multiplication table facts;
• use their multiplication tables to answer related facts involving decimals up to 2 decimal places (2dp).

These sheets are designed for 5th graders.

Multiplication (and division) Worksheet Generators

Here is our free generator for multiplication (and division) worksheets.

This easy-to-use generator will create randomly generated multiplication worksheets for you to use.

Each sheet comes complete with answers if required.

The areas the generator covers includes:

• Multiplying with numbers to 5x5;
• Multiplying with numbers to 10x10;
• Multiplying with numbers to 12x12;
• Multiplying with 10s e.g. 4 x 30
• Multiplying with 100s e.g. 6 x 400
• Multiplying with tenths e.g. 3 x 0.7
• Practicing a single times table;
• Practicing selected times tables;

These generated sheets can be used in a number of ways to help your child with their times table learning.

• Free Multiplication Worksheets (randomly generated)
• Multiplication & Division Worksheets (randomly generated)

Negative Number Multiplication (6th grade+).

• Negative Number Multiplication (randomly generated)

Short Multiplication Generator

• Single Digit Multiplication Worksheets Generator

Long Multiplication Generator

• Multi-Digit Multiplication Worksheet Generator
• Money Multiplication Worksheets Generator

Short and Long Multiplication

Here you will find a range of written multiplication printable worksheets. This is the first introduction of a written multiplication method at this stage.

The following sheets develop children's ability to use a written method to multiply a multi-digit number by a single digit, starting off at a very basic level.

• learn and practice 2-digit multiplication.
• learn to multiply a multi-digit number by a single digit.

2 Digit by 1 Digit Multiplication

• Multiplication Worksheets for 3rd Grade 2-digits by 1-digit
• 2 Digit Multiplication Worksheets
• Math Multiplication Worksheets multi-digit x 1 digit

Long Multiplication by 2 digits

Here you will find our 4th Grade Multiplication Printable Worksheet collection. These sheets are designed to help your child improve their ability to multiply a range of numbers by a two digit number.

The following sheets will help your child to:

• multiply a range of 2 and 3 digit numbers by two digits.
• Double Digit Multiplication Worksheets

Long Multiplication by Decimals

Our free 5th Grade Multiplication Printable Worksheet collection below is designed to help your child improve their ability to multiply a range of numbers involving decimals by a single digit.

• multiply a range of decimals up to 2 decimal places (2dp) by a single digit;

All the free Math sheets in this section are informed by the Elementary Math Benchmarks for 5th Grade.

Multiplication Word Problem Worksheets

We have a range of Multiplication Word Problem worksheets.

Each sheet comes in different levels of difficulty so that you can select an appropriate level for your child/class.

Using our word problem sheets will help your child to:

• apply their math skills;
• select the correct multiplication fact needed to solve a problem;
• solve a range of problems, including 'real-life' problems.
• Multiplication Math Games

Here you will find a range of Free Printable Multiplication Games.

The following games develop the Math skill of multiplying in a fun and motivating way.

• learn their multiplication facts;
• practice and improve their multiplication table recall;
• develop their strategic thinking skills.

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Year 7 maths

IXL offers hundreds of year 7 maths skills to explore and learn! Not sure where to start? Go to your personalised Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, territory curriculum, or standardised test.

A. Number theory

• 1 Prime or composite
• 2 Prime factorisation
• 3 Multiplicative inverses
• 4 Divisibility rules
• 5 Highest common factor
• 6 Lowest common multiple
• 7 HCF and LCM: word problems
• 8 Classify numbers

B. Integers

• 1 Understanding integers
• 2 Integers on number lines
• 3 Graph integers on horizontal and vertical number lines
• 4 Compare integers
• 5 Order integers

C. Operations with integers

• 1 Integer addition rules
• 2 Add integers using counters
• 3 Add integers using number lines
• 4 Add integers
• 5 Integer subtraction rules
• 6 Subtract integers using counters
• 7 Subtract integers using number lines
• 8 Subtract integers
• 9 Integer addition and subtraction rules
• 10 Add and subtract integers using counters
• 11 Add and subtract integers
• 12 Complete addition and subtraction number sentences with integers
• 13 Add and subtract integers: word problems
• 14 Integer multiplication rules
• 15 Multiply integers
• 16 Integer division rules
• 17 Divide integers
• 18 Evaluate numerical expressions involving integers

D. Decimals

• 1 Decimal numbers review
• 2 Compare and order decimals
• 3 Decimal number lines
• 4 Round decimals

E. Operations with decimals

• 1 Add and subtract decimals
• 2 Add and subtract decimals: word problems
• 3 Estimate sums and differences of decimals
• 4 Multiply decimals and whole numbers
• 5 Multiply decimals and whole numbers: word problems
• 6 Multiply decimals using grids
• 7 Multiply decimals
• 8 Estimate products of decimals
• 9 Divide decimals by whole numbers
• 10 Divide decimals by whole numbers: word problems
• 11 Divide decimals
• 12 Estimate quotients of decimals
• 13 Multiply and divide decimals: word problems
• 14 Add, subtract, multiply and divide decimals: word problems
• 15 Multi-step inequalities with decimals
• 16 Maps with decimal distances
• 17 Evaluate numerical expressions involving decimals

F. Fractions and mixed numbers

• 1 Understanding fractions: word problems
• 2 Graph equivalent fractions on number lines
• 3 Equivalent fractions
• 4 Write fractions in lowest terms
• 5 Fractions: word problems with graphs and tables
• 6 Lowest common denominator
• 7 Compare and order fractions
• 8 Compare fractions: word problems
• 9 Convert between mixed numbers and improper fractions
• 10 Compare mixed numbers and improper fractions
• 11 Round mixed numbers

G. Add and subtract fractions

• 1 Add and subtract fractions with like denominators
• 2 Add and subtract fractions with like denominators: word problems
• 3 Add fractions with unlike denominators using models
• 4 Add fractions with unlike denominators
• 5 Subtract fractions with unlike denominators using models
• 6 Subtract fractions with unlike denominators
• 7 Add and subtract fractions with unlike denominators: word problems
• 8 Add and subtract mixed numbers
• 9 Add and subtract mixed numbers: word problems
• 10 Inequalities with addition and subtraction of fractions and mixed numbers
• 11 Estimate sums and differences of mixed numbers

H. Multiply and divide fractions

• 1 Multiply unit fractions by whole numbers using number lines
• 2 Multiply unit fractions by whole numbers using models
• 3 Multiples of fractions
• 4 Multiply fractions by whole numbers using arrays
• 5 Multiply fractions by whole numbers using number lines
• 6 Multiplying fractions by whole numbers: choose the model
• 7 Multiply fractions and whole numbers
• 8 Multiply fractions and whole numbers: word problems
• 9 Multiply two unit fractions using models
• 10 Multiply two fractions using models
• 11 Multiply fractions
• 12 Multiply fractions: word problems
• 13 Multiply three or more fractions and whole numbers
• 14 Divide unit fractions by whole numbers using models
• 15 Divide whole numbers by unit fractions using models
• 16 Divide whole numbers and unit fractions using area models
• 17 Reciprocals
• 18 Divide whole numbers and unit fractions
• 19 Divide fractions by whole numbers
• 20 Divide whole numbers by fractions
• 21 Divide fractions
• 22 Divide fractions: word problems
• 23 Estimate products and quotients of fractions and mixed numbers
• 24 Add, subtract, multiply and divide fractions and mixed numbers: word problems
• 25 Evaluate numerical expressions involving fractions

I. Rational numbers

• 1 Fractions on number lines
• 2 Convert between decimals and fractions or mixed numbers
• 3 Compare rational numbers
• 4 Put rational numbers in order
• 5 Add and subtract rational numbers
• 6 Apply addition and subtraction rules
• 7 Multiply and divide rational numbers
• 8 Apply multiplication and division rules

J. Exponents and square roots

• 1 Understanding exponents
• 2 Evaluate powers
• 3 Solve equations with variable exponents
• 4 Powers of ten
• 5 Powers with decimal and fractional bases
• 6 Evaluate numerical expressions involving exponents
• 7 Square roots of perfect squares
• 8 Estimate square roots

K. Ratios, rates and proportions

• 1 Write a ratio
• 2 Write a ratio: word problems
• 3 Identify equivalent ratios
• 4 Write an equivalent ratio
• 5 Equivalent ratios: word problems
• 6 Unit rates
• 7 Compare ratios: word problems
• 8 Compare rates: word problems
• 9 Ratios and rates: word problems
• 10 Do the ratios form a proportion?
• 11 Do the ratios form a proportion: word problems
• 12 Solve proportions
• 13 Solve proportions: word problems
• 14 Estimate population size using proportions

L. Percents

• 1 What percentage is illustrated?
• 2 Convert fractions to percents using grid models
• 3 Convert between percents, fractions and decimals
• 4 Convert between percents, fractions and decimals: word problems
• 5 Compare percents to fractions and decimals
• 6 Estimate percents of numbers
• 7 Solve percent problems using grid models
• 8 Solve percent problems using strip models
• 9 Percents of numbers and money amounts
• 10 Percents of numbers: word problems
• 11 Find what percent one number is of another
• 12 Find what percent one number is of another: word problems
• 13 Solve percent equations
• 14 Solve percent equations: word problems

M. Consumer maths

• 1 Which is the better coupon?
• 2 Add, subtract, multiply and divide money amounts: word problems
• 3 Price lists
• 4 Unit prices
• 5 Unit prices: find the total price
• 6 Percent of a number: GST, discount and more
• 7 Find the percent: discount and mark-up
• 8 Sale prices: find the original price
• 9 Multi-step problems with percents

N. Problem solving and estimation

• 1 Estimate to solve word problems
• 2 Multi-step word problems
• 3 Guess-and-check word problems
• 4 Use Venn diagrams to solve problems
• 5 Find the number of each type of coin
• 6 Elapsed time word problems

O. Units of measurement

• 1 Estimate metric measurements
• 2 Compare and convert metric units
• 3 Metric mixed units
• 4 Convert between square metres and hectares
• 5 Convert square and cubic units of length
• 6 Convert between cubic metres and litres
• 7 Precision

P. Coordinate plane

• 1 Coordinate plane review
• 2 Graph points from a table
• 3 Quadrants and axes
• 4 Follow directions on a coordinate plane

Q. Number sequences

• 1 Identify arithmetic and geometric sequences
• 2 Arithmetic sequences
• 3 Geometric sequences
• 4 Number sequences: mixed review
• 5 Number sequences: word problems
• 6 Evaluate variable expressions for number sequences
• 7 Write variable expressions for arithmetic sequences

R. Expressions and properties

• 1 Write variable expressions: one operation
• 2 Write variable expressions: two or three operations
• 3 Write variable expressions: word problems
• 4 Evaluate linear expressions
• 5 Evaluate multi-variable expressions
• 6 Evaluate nonlinear expressions
• 7 Identify terms and coefficients
• 8 Sort factors of expressions
• 9 Properties of addition and multiplication
• 10 Add using properties
• 11 Multiply using properties
• 12 Multiply using the distributive property
• 13 Solve equations using properties
• 14 Write equivalent expressions using properties
• 15 Add and subtract like terms
• 16 Add, subtract and multiply linear expressions
• 17 Factors of linear expressions
• 18 Identify equivalent linear expressions using algebra tiles
• 19 Identify equivalent linear expressions

S. One-variable equations

• 1 Which x satisfies an equation?
• 2 Write an equation from words
• 3 Model and solve equations using algebra tiles
• 4 Write and solve equations that represent diagrams
• 5 Solve one-step equations
• 6 Solve two-step equations
• 7 Solve equations: complete the solution
• 8 Solve equations: word problems

T. Two-variable equations

• 1 Does (x, y) satisfy the equation?
• 2 Solve word problems involving two-variable equations
• 3 Complete a table for a two-variable relationship
• 4 Write a two-variable equation
• 5 Identify the graph of an equation
• 6 Interpret a graph: word problems
• 7 Identify graphs: word problems
• 8 Rate of change
• 9 Constant rate of change

U. Two-dimensional figures

• 1 Identify and classify polygons
• 2 Lines, intervals and rays
• 3 Parallel, perpendicular and intersecting lines
• 4 Name, measure and classify angles
• 5 Acute, obtuse and right triangles
• 6 Scalene, isosceles and equilateral triangles
• 7 Classify triangles
• 8 Parallel sides in quadrilaterals
• 9 Identify parallelograms
• 10 Identify trapeziums
• 11 Identify rectangles
• 12 Identify rhombuses
• 13 Classify quadrilaterals I
• 14 Classify quadrilaterals II
• 15 Graph triangles and quadrilaterals
• 16 Find missing angles in triangles and quadrilaterals
• 17 Sums of angles in polygons
• 18 Identify complementary, supplementary, vertical, adjacent and congruent angles
• 19 Find measures of complementary, supplementary, vertical and adjacent angles
• 20 Transversal of parallel lines
• 21 Find lengths and measures of bisected intervals and angles
• 22 Parts of a circle
• 23 Construct parallel lines
• 24 Construct the midpoint or perpendicular bisector of an interval
• 25 Construct a perpendicular line

V. Symmetry and transformations

• 2 Identify reflections, rotations and translations
• 3 Translations: graph the image
• 4 Translations: find the coordinates
• 5 Reflections: graph the image
• 6 Reflections: find the coordinates
• 7 Rotations: graph the image
• 8 Rotations: find the coordinates
• 9 Sequences of transformations: graph the image

W. Three-dimensional figures

• 1 Bases of three-dimensional figures
• 2 Nets of three-dimensional figures
• 3 Front, side and top view

X. Geometric measurement

• 1 Perimeter
• 2 Multiply to find the area of a rectangle made of unit squares
• 3 Area of rectangles and squares
• 4 Understanding area of a parallelogram
• 5 Area of parallelograms
• 6 Understanding area of a triangle
• 7 Area of triangles
• 8 Area between two shapes
• 9 Area and perimeter: word problems
• 10 Surface area of cubes and rectangular prisms
• 11 Surface area of triangular prisms
• 12 Surface area of pyramids
• 13 Volume of cubes and rectangular prisms
• 14 Volume of cubes and rectangular prisms: word problems
• 15 Volume of triangular prisms

Y. Data and graphs

• 1 Interpret tables
• 2 Interpret dot plots
• 3 Create dot plots
• 4 Interpret stem-and-leaf plots
• 5 Create stem-and-leaf plots
• 6 Interpret bar graphs
• 7 Create bar graphs
• 8 Create frequency charts
• 9 Interpret circle graphs
• 10 Circle graphs and central angles
• 11 Interpret line graphs
• 12 Create line graphs
• 13 Choose the best type of graph

Z. Statistics

• 1 Calculate mean, median, mode and range
• 2 Interpret charts to find mean, median, mode and range
• 3 Mean, median, mode and range: find the missing number
• 4 Changes in mean, median, mode and range
• 5 Identify an outlier
• 6 Identify an outlier and describe the effect of removing it
• 7 Measures of centre and spread
• 8 Identify representative, random and biased samples

AA. Probability

• 1 More, less and equally likely
• • New! Sample space of simple events
• 2 Probability of simple events
• 3 Probability of opposite, mutually exclusive and overlapping events
• 4 Experimental probability
• 5 Make predictions
• 6 Identify independent and dependent events

• Grades 6-12
• School Leaders

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50 Fun Hands-On Activities and Games To Teach Multiplication

Help your students become multiplication masters.

hand2mind believes children learn best by doing. Energize your classroom for the year with  hands-on materials and resources !

A lot of math has to do with answering the same question: “How many?” You can count, you can add, you can skip-count, but one of the most efficient and accurate ways to answer the question is by grouping things together and multiplying. It’s a skill we use every day in real life throughout our lives, and the activities below are a fun way to teach students multiplication.

We help young learners understand how multiplication works by hands-on exploration at first, through pictorial work, and eventually to the most efficient strategy of all: memorization of multiplication facts for easy recall. Here are some great ways to teach multiplication to get your students excited and engaged from the beginning of understanding to multiplication mastery.

Sticky Dot Flash Card Challenge

Purchase a few sets of colorful sticky dots. On pieces of card stock or construction paper, arrange sticky dots in arrays that model multiplication facts. For example, to show 3 x 4, make three rows with four dots in each row. Then have students make these on pieces of card stock with the dots on one side and the multiplication fact written on the back. Once students have made a set of at least 12 cards, have them meet with a partner to play a game. The first player flashes a card with dots showing for two seconds. The second player must try to quickly guess the fact and answer. The lead player takes the card out and shows both sides to check the answer. Have students take turns flashing cards and working through the deck.

Human Body Multiplication

Everybody has two ears, but how many ears do three students have all together? Practice multiplication by calling up three students to the front of the classroom. Ask questions for the whole class that focus on multiplying such as, “How many ears does this group have all together (3 x 2 = 6)?” “How many fingers does this group have all together? (3 x 10 = 30)?” “How many noses do they have all together (3 x 1 = 3)?” As you ask, have the rest of the class write the multiplication problem and the product on a whiteboard or paper and share their answers. Give all students a chance to come up and be part of the multiplying group. Change the number of students in the modeling group to change the resulting facts.

Marvelous Multiplying Martians Poem

Supply each student with a set of 20 counters. Then read this poem and sub in two numbers in the blanks as you read. Students use their counters to model the problem and find the answer.

Early in the morning, ___ Martians came. They multiplied by ___ and played a football game. When earthlings saw them playing, the whole crowd shouted, “Wow!” Just how many Martians do you think are playing football now?

Try various numbers and have kids rhyme along with you. You can write the poem on a chart for all to read along.

Clapping Facts

Here’s a good listening and math game. Tell students you will clap out a multiplication fact. They should listen carefully to the number of claps, and write the fact they hear down on a whiteboard or paper. For example, for 2 x 7, you would clap like this:

Clap, clap, clap, clap, clap, clap, clap (pause)

Clap, clap, clap, clap, clap, clap, clap (stop)

For 3 x 3 it would sound like this:

Clap, clap, clap (pause)

Clap, clap, clap (stop)

Ask students to share their answers. After you’ve done a few, have students take turns choosing facts and leading the clapping. Write all the facts you’ve done on the board so there won’t be any repeats.

Multiplying Card Game

Using index cards, have each student create a set of digit cards from 0 to 10 with five copies of each digit card in the deck. Then ask students to partner up and put one deck in the middle. The lead player shuffles the deck and then deals two cards to each player. After that, players multiply their two cards and announce their individual products. Whoever has the highest product wins all four cards. The player with the most cards at the finish of the deck wins.

Multiplication Model Make-It

Kids like to get their hands on things and move them around. Keeping learning active is always a great strategy with kids. Here’s a good way to do that and practice multiplication.

Provide each student with a group of small manipulatives such as cubes, counters, beads, or even dried beans (very cheap and they work well!). Then call out a multiplication fact and ask students to group their manipulatives to model the fact. For example, if you call out 5 x 5, students will create five groups of five beans in each. After they complete this task, ask them to announce the product. Students can take turns leading this activity as well.

Calculator Checker

Give students simple calculators. It’s good to give your class practice with how calculators work. Call out two factors, like “3 and 7.” Students input the two factors on the calculator, pushing the x button in between, but they don’t press the = button. Wait 30 seconds while students think about the answer. Then ask for possible answers. After everyone has a chance to respond, tell students to press the = button to check their answers. Let students take turns leading this game.

Multiplication Shake

Ask each student to bring in an empty egg carton. In the bottom of each section of the carton, have them write a number from 0 to 11 with a permanent marker. Give each player two beans or beads. Players put the beads in their boxes and close them tight. When you say go, they shake the box. When you say stop, they open the box and multiply the two numbers where the beads landed. Each player raises their hand and shares the fact they came up with along with the product. You can ask things like, “Who has the highest product?” “Who has the lowest product?” “Who has an odd or even product?” and then try it again.

Hole-Punch Multiplier

Arrays are a great way for students to “see,” and in this case “feel,” multiplication facts. This is a good activity to individualize that multiplication work. Divide a white piece of card stock into eight boxes. In each box write a multiplication fact you would like the student to work on. Give them another piece of card stock that’s a different color and a hole punch. Ask them to create an array in a piece of the colored paper that shows the multiplication fact in each box. Then have them glue that array into the correct box. Have them flip the paper over and complete eight more.

Challenge Roll

Partner students up. Give each group a pair of dice, lined paper, and a pencil. They should fold the paper in half vertically and write their names at the top of the two columns. Have players take turns rolling the dice and recording the two numbers that come up as factors on the paper in their column. They then multiply these together and write the product. Whoever rolls the highest product in each round wins that round and circles their winning product. You can also play it with the lowest product as the winner. Instead of dice, you can also play this with number cubes marked from 0 to 5 and 6 to 11. You can convert dice to number cubes by putting white sticky dots on each side and writing the numbers you want on them.

Multiplication Museum

Provide a variety of manipulatives like counting chips, cubes, paper clips—almost anything you have plenty of. Also give each student 10 index cards and tell them that they will be setting up their own multiplication museums on their desks using the manipulatives. Each museum should have at least 10 exhibits. An exhibit consists of an arrangement of manipulatives to represent a specific multiplication fact. For example, to show 3 x 7, you might make three cube towers with each one made of seven cubes. Then they fold an index card in half, write the multiplication fact on it, and stand it up as the “exhibit sign.” Finally, have students visit one another’s museums when they are all completed.

Partner students up and put a deck of multiplication fact cards down in between them. After that, each student takes a turn picking a card. They do not look at the card, but rather hold it against their forehead so their partner can see the card. The partner tells the lead player the product for that fact. For example, if I pick a card that says “3 x 5,” my partner would say, “You’re 15.” Now I have to guess the factors on the card by saying, “I’m 3 x 5.” There are sometimes more than one way to make a product, however. If I said, “I’m 5 x 3,” my partner would say, “No, you’re not. Guess again.” This can really be fun while developing strong mental math and listening skills.

Twister Multiplication

Maybe you have the old classic game Twister at home. If not, check out the thrift shops or online sellers. Take a set of sticky notes, and on each one, write a multiplication fact on one half and the product on the other. Cut them in half. On the Twister spinner, there are color dots. Place the product part of the sticky fact on the spinner dots. On the Twister mat, place the other half of the fact cards on those dots. As you spin, each student will call out the product the spinner points to. Players on the mat have to try to place a hand or foot on the fact that makes that product. Active, fun, and a bit crazy, but it’s a great way to practice multiplication facts.

Multiplication Mix-Up

Take index cards and make a set of digit cards 0 to 9 with at least three of each card. Have students shuffle their cards and spread them out on their desks. Call out a product, like 12. Give students three minutes to find pairs of cards that if multiplied together would result in that product. With the product of 12, students should be able to show you the following pairs: 2 x 6, 6 x 2, 3 x 4, and 4 x 3. After a round, ask players to reshuffle and then announce the next product.

Tower of Facts

Use an old Jenga set or pick up a generic one at a dollar store. On each block, use a permanent marker to write a multiplication fact. Then set up a tower. As players pull blocks from the tower, they must answer the multiplication fact on the block. If they are correct, they keep the block, and if they are wrong, all partners get a chance to answer. If all miss, the block gets stacked back up on top. It’s a cooperative game as no one really wants that tower to fall. (Or do they?)

Name Tag Sort

Get a pack of sticky name tags and write multiplication facts you want to practice on each one. Pass out a tag to each student and have them put it on. Begin to call out sorting clues. If a student’s product matches the sort clue, they stand up. If not, they stay seated. Sorting clues include things like “all odd products, all even products, both factors are odd, both factors are even, the product is more than 15, the product is less than 15,” and so on. Let students take turns leading this one.

Multiplication Cup Towers

Buy a set of small disposable plastic bathroom cups. On the side of each one, write a multiplication fact. This is a good activity for a small group of three or four students. Put the set of cups in the middle of the group. Have students take turns pulling a cup. If they answer the fact correctly, they keep the cup and can begin to build a stacking tower. If they miss it, they put the cup back in the middle. Limit play by the number of times you can pull a cup (10 is a good start) or time (two minutes is reasonable).

Lots of Dots

Kids love this simple activity. Give each student a lined paper and a pencil. Tell them to draw a given target number of dots, like 12. After each student does this, ask them to take a crayon and circle the dots in a way that will reveal a multiplication fact. For example, with 12, they might circle two groups of six or six groups of two or three groups of four, and so on. They then write the facts underneath the dots. This calls for careful counting and, of course, knowing some facts!

Domino Multiplication War

Partner up students and give them a set of dominoes. The dominoes should be placed in a box or bag so players can’t see them. Players take turns picking a domino out of the bag. The first player checks both sides of the domino and chooses the side that would yield the largest product when the two dot arrays are multiplied together. They put it face up in the middle. The next player picks a domino and does the same thing. The player with the largest product wins and keeps both dominoes. Play continues until the bag or box is empty. Then players count their dominoes to see who has the most. You can also play this one to try to get the lowest product. Either way is lots of fun.

Bottle Cap Facts

Have students collect bottle caps, wash them, and bring them into class. Distribute the bottle caps evenly among the class. Give students a multiplication fact assessment of the 100 multiplication facts and score them together. Have students circle the facts they missed. Then give them a black fine-point permanent marker and a set of sticky dots. Ask them to write any missed facts on the sticky dots (or facts they found hardest) and attach it to the top of a bottle cap. On the inside of the cap, they write the product.

You can play all kinds of games with bottle caps, but one fun one is to have players trade sets and push a cap to the middle. The player who created that fact set has to answer the fact question. If they’re correct, they get the cap and a point. This allows players to practice facts they found difficult in a game format.

Have a Ball Multiplying Hard Facts

Ask your class what the most difficult multiplication facts to remember are. Write these on the board. Brainstorm strategies to remember them together. Write these strategies next to the hard facts on the board. Then get a soccer ball and write these hard facts on the ball (or balls) with permanent marker. Form a circle and toss the ball to a student. Whatever fact their right thumb lands on is the fact they should answer. Have them refer to the board and the strategies if they are unsure. Take turns tossing the ball around the circle, making sure everyone gets a turn.

Rock, Paper, Multiply!

This game looks like it’s going to be Rock, Paper, Scissors, but it’s not. Partner students up and have them stand and face each other. On the count of three, each player throws out a number of fingers on one hand. Both players look at the fingers, count them, and multiply those two numbers. The first with the correct answer is the winner. As players get more skilled, have them play with two hands each.

Multiplication Clue Cards

Give each student two blank index cards and two multiplication facts. Students should write the two factors down on one side of each card. On the other side, they should write at least three clues that will point other players to what the multiplication fact is. For example, if you give me the fact 3 x 3 = 9, I could write clues like: 1. “Both factors are the same.” 2. “The factors are less than 4.” 3. “The product is odd.” Students take turns reading their clues to the class, while classmates try to guess the fact.

Product Call-Out

Give each student a copy of a 100 chart and a set of crayons or colored pencils. Then give directions to have students color and locate products for the multiplication fact you call out. For example, when you call out 3 x 5, students should color the number 15 on their charts. This is a great way to emphasize multiplication patterns by calling out all of the facts with a certain factor in a row. For example, you might ask for 3 x 3, 3 x 6, 3 x 2, 3 x 7, and so on. You could call them in order or mix them up a bit like the ones just mentioned. You can use different colors for different fact families if you like.

Multiplication Fact Bingo

Provide each student with a 100 Multiplication Facts Chart. These charts have the factors but not the product. Tell students you will be playing Multiplication Bingo together. You will call out a product, and they must find the fact on their paper and color it in with a light-colored color pencil or crayon so we can still see the facts. When they get three in a row in any direction, they should circle the three and call out, “Bingo!” Write the three facts and products on the board to help everyone check their work. Keep playing on that same sheet and play for as many bingos as you like.

Give each student a blank 15 x 15 array sheet or a sheet of graph paper, pencil, and crayons or colored pencils. Model how you would draw an array for a multiplication fact on a paper like this. For example, if the target fact is 3 x 7, you could draw a rectangle that is three squares across and seven squares down. Outline it in pencil, write the fact and product on the rectangle, and color over it lightly. Explain to students that they should draw and color a rectangular array for each multiplication fact you announce.

The goal for the student is to arrange their arrays to try to cover up as many spaces as possible. After 10 facts are called out, the winner is the person with the least amount of white squares left. Caution students that sometimes they may be unable to make an array that you call because there isn’t enough space left. If that’s the case, they wait until the next fact is called.

Partner students up and give them a set of multiplication fact cards. The lead partner deals out 10 cards to each player. Two cards are then picked at random from the deck and placed on a desk about 2 feet apart. These are the beginning and end cards. Their products signify the beginning and end of a number line. So, if the two cards are 2 x 5 and 6 x 4, the number line stretches from 10 to 24.

Now players fan out their cards with the facts hidden. The lead player picks a card from their partner’s fan and places it on the number line if they can. If you pick an 8 x 6 card, you can’t place it on the number line going from 10 to 24 because the product is 48, so you put it in your deck. Players take turns picking cards and trying to place them. After 10 picks, players count up their cards. The player with the least cards wins.

Multiplication Stories

Give students a lined piece of paper and a pencil, and have them fold it into four squares. Then write four multiplication facts on the board. Ask students to copy the facts at the top of each square. Explain that they should write a short story problem that fits each fact. For example, if I had to write about 5 x 5, I might write something like, “There were five brothers. Each one had five books. How many books did they have all together?” Urge students to be creative. These can get pretty funny. Take turns sharing the problems aloud. Finally, on the back of the paper, have students choose four facts of their own and write stories about those. These are great word problems to use as a source for for tests and quizzes. Give students a “byline” on the paper next to their problem.

(Cl)Arrays are arrays made out of clay (ha, ha!). Kids love to get their hands on and in clay or play dough so let them go at it while they practice multiplication. Each student gets a good-size ball of clay and a mat to work on. Plastic place mats work well. Write a “Feature Fact” on the board. Each student takes their clay and, making smaller balls, creates an array that matches that fact. Give students a turn to lead and pick the featured fact. You can also feature two or three facts at a time. Emphasize how the first factor tells us how many groups and the second factor tells us how many in a group.

Find That Fact!

Write about 20 multiplication products on the board. Then have two students come up. Explain that you will call out a fact, and players must point to the product that matches your fact as quickly as possible. Whoever points to the fact first wins that round and stays at the board. Keep sending players up until everyone has a turn.

Multiplication Flower Garden

Math and art, they go together. Here’s a decorative way to practice a set of facts. Draw a flower with 12 petals and a circle in the center. Then write the factor for a fact family you want to practice in the center circle, and draw 12 petals and number them 1 to 12. These are the second factors. On the outside of these petals, draw larger petals and write the products of the center and the first petal. Now color. Makes a great math display. Assign different fact families to different students so you can have a complete garden!

Multiplication War

Partner students up and give them a deck of playing cards. Then have the lead player deal out the complete deck face down to each player. Players each flip two of their own cards, multiply them, and say the product aloud. The player with the higher product wins that round and all the cards in the round. Play is complete when all cards have been dealt. Now it’s time to add up the cards to see who wins!

Addition and Multiplication Scramble

Multiplication is really repeated addition but done in a very efficient way. Write a repeated addition sentence on the board, like 5 + 5 + 5 + 5. Ask students to tell you the corresponding multiplication fact with its product. Make sentence strips for each addition sentence and put them in a pile. In another pile, put corresponding multiplication fact cards. Mix these together on the floor in a big pile. Pick a group of four or five students. When you say go, players have two minutes to unscramble and match every addition sentence with its partner multiplication sentence.

Multiplication Concentration

This is a good small-group game for three or four players. Give students a set of index cards and have them write assigned multiplication facts on each card. Now provide another set of index cards and have them write the corresponding products on each card. Have each player put out four matching card sets from their deck. Mix these together and then deal them out face down on a desk. Play a game of Concentration, with each player picking two cards, flipping them over, and seeing how many matches they can find. The most matches wins!

Multiplication Rhymes

Can you write rhymes to go with your multiplication facts? Give each student a set of 10 facts, a lined paper or drawing paper, pencil, and colored pencils or crayons. Provide some examples on the board such as these few from a 3 times table: 3 x 4 = open the door, 3 x 5 = bees in the hive, 3 x 6 = too many sticks, and so on. When completed, have students share their rhymes aloud with the class. You can extend the activity by letting students illustrate their rhymes, which makes for a very creative bulletin board.

Spinner, Spinner, Multiplication Winner

Make a simple spinner with a paper clip and a pencil. Start by having students draw a circle. Tracing around a coffee-can lid is an easy way to do it. Divide the circle up into 10 sections using a ruler. Color the sections and write numbers 0 to 9 on them. Place the paper clip and pencil down in the middle of the circle. Flick the paper clip so it spins. Whatever number it points to is your first factor. Spin again to find the second factor. Multiply them, and that is your score for the round. Your partner does the same. The highest product wins that round. To make it more fun and motivating, put out a set of 20 marbles or cubes. As a player wins a round, they get a cube or marble. Whoever has the most after all are taken is the winner.

Animal Multiplication Stories

You can use animals as the stars of some multiplication stories due to their unique physical characteristics. For example, one story might be, “An octopus has eight legs. Six octopi came to an undersea birthday party. How many legs were there at the party? (8 x 6 = 48 legs).” Let students choose an animal or you can assign one. They should then write a short multiplication story about their animal, solve it, and illustrate it. The picture should match the problem. Consider using horses, cats, dogs, or spiders, and think creatively. For instance, you can count horses’ eyes, ears, legs, tails, and so on.

The Grapes of Math

Read aloud Greg Tang’s math picture book The Grapes of Math (Scholastic, 2004) for some very focused listening and problem-solving with multiplication. Provide each student with a whiteboard and marker. Have students listen to each page and rhyming problem and record on the whiteboard the multiplication fact that matches that page and solves the rhyme. You can do them all in one sitting or spread them out one or two per day. These are all great fun, clever, and sometimes quite challenging.

All Hands on Deck!

Here’s a fun and active way to model some multiplication. Have a group of three students stand in a line at the front of the room. Ask the group to throw out a certain number of fingers. For example, you might say, “Each person please throw out four fingers.” Then ask the rest of the class what multiplication fact they are modeling. In this case it would be 3 x 4 = 12. After that, have various numbers of students come up to form a group and model facts. The rest of the class has to guess the fact aloud or write them on a whiteboard with a marker.

You can also let groups you call huddle up and decide among themselves how many fingers they will throw out when they model their next fact.

Sticky Multiplication Arrays

Kids love stickers, and you can buy inexpensive sets of some really tiny stickers. Give a page of tiny stickers, a pencil, and a piece of graph paper to each student. Then have kids arrange the stickers in arrays on the graph paper, outline them with a pencil, and write matching multiplication facts for each. This is a good activity to assign with an entire fact family, like the sevens for instance. This way students can observe how the facts build incrementally both in number and area.

Multiplication Mistakes

Kids love to correct the teacher. Here’s an activity that gives everyone a chance to do just that. Create a paper where you write 100 multiplication facts with products. Make an error in at least half of them. Make a copy of the paper for each student. Pass these out and explain that this paper was recently handed in to you by your friend Mug the caveman. He is new to math and may have made some mistakes. Ask them to correct the paper by circling the mistakes and writing the correct number next to the error. Student focus on these is incredible!

Number Line Hop

Partner students together and provide them with a number line from 1 to 100, a couple of counting bears or similar game pieces, and a deck of multiplication fact cards. Then players take turns pulling cards from the deck. They solve the fact and move that number of spaces on the number line. First player to the end wins. Players have to pay careful attention as the game progresses because with each round, they have a different starting point. For example, if your first card is 3 x 4, since the product is 12, you hop from 0 to 12. If your second card is 2 x 3, you now start on the 12, move 6 spaces, and land on 18. You can also play this same game on a 100 chart if a number line takes up too much space.

Rubber Stamp Multiplication

I’ve yet to meet the child who does not like to use a rubber stamp. You can buy almost any kind of rubber stamps, from moons and stars to cats and dogs to flowers and dragons. Get a dozen or so different stamps and some ink pads. Provide students with white drawing or construction paper, an ink pad (can be shared), and a rubber stamp.

Have students stamp out multiplication facts that you decide on for them. This is a good opportunity to work on facts that a student finds difficult. For example, if the target fact is 7 x 8, students would stamp seven rows of eight items in each row. Then they would write the fact and product underneath. Have students take turns trading stamps and ink pads so they can try different images and colors.

Money Multiplier

Make a special spinner that has pictures of the U.S. coins: penny, nickel, dime, quarter, half dollar, and dollar. (You can use a piece of card stock with a coffee-can lid traced on it to form a circle. Divide the circle with a pencil and ruler into six sections, one for each coin, but with the higher-value coins getting smaller sections. For a spinner, use a pencil and a paper clip.

Provide a group of four or five students with a set of play coins. Then put these in the middle of the group along with the spinner. Students take turns spinning and taking one of the coins that the spinner points to. As they play and collect coins, they place like coins in rows in front of them. So, a row of pennies, a row of nickels, a row of dimes, and so on. Give students 10 turns each. Then ask students to write a multiplication fact for each row of coins and the resulting product. They should then add up their products and see what their total coin value is. Highest value wins!

How Old Is the Class?

This intriguing activity combines surveys, data collection, and multiplication to answer an interesting question: “How old is the class?”

Introduce the problem by saying, “I’d like to find out how old this class is. I mean, all together.” Begin by collecting some data. If you are teaching 3rd grade, for example, you can ask students to: “Raise your hand if you are 7.” Then write down that number of students on the board. After that, ask, “Raise your hand if you are 8.” Write down that number of students. And finally ask students to “Raise your hand if you are 9.” Write down that number of students. Say, “Here is the data we need. Now could you all multiply these numbers and then add all the years together? That will tell us how old the class is.”

5 kids x 7 years old = __ years

10 kids x 8 years old = __ years

6 kids x 9 years old = __ years

In this case, 5 x 7 = 35, 10 x 8 = 80, and 6 x 9 = 54. Add them together: 35 + 80 + 54 = 169 years.

You can extend this by sending teams of students out to various classrooms to collect data, do the multiplication and addition, and then find out who has the oldest class in the grade level or in the school.

Kaboom Sticks

Get a set of wooden craft sticks and write multiplication facts on them, except for a few sticks on which you write “Kaboom!” Then put the sticks with the facts side down in a can. This is a fun activity for a small group. Students take turns pulling sticks from the can. If they get the fact correct, they keep the stick and grow their collection. If they get it wrong, they put it back in the can. And if they pull a “Kaboom” stick, they put their whole collection back in the can.

Triangle Fact Cards

Sometimes just a little change-up can keep things fresh. Students are used to rectangular fact cards, but triangles are a different story. Cut out or have students cut out triangles from oaktag or other durable paper. Then give a set of 10 to each student and assign them a set of facts like ones, twos, threes, and so on. At the top of the triangle, they write the sum, and in the lower corners the two factors. In the middle write a multiplication sign. Color can be added and then cards laminated for long-term use. These sets are somehow more fun to use in games and activities that practice facts.

100-Chart Multiplication Patterns

Make multiple copies of a 100 chart for each student. Also provide crayons or colored pencils, a pencil, and lined paper. Ask students to color in a certain number pattern. For example, you might ask them to color all the numbers that end in 5 or 0 or 8. Then after they have found these, they should write down all the multiplication facts that will result in these numbers as products. Ask them to look for patterns. Have a discussion at the end of each round, and compare what each student has found. There are some intriguing patterns to be discovered!

Room Arrangement Multiplication Hunt

Before students come into the classroom, take certain items and arrange them in groups around the room. For example, set up five stacks of books with four books in each stack, three piles of rulers with eight rulers in each pile, nine index cards with five paper clips on each, three chairs in a circle, and so on.

When students enter, give them each a lined paper on a clipboard and a pencil. Have them sit down and explain that certain items have been gathered in different parts of the room. Their job is to find the items, don’t touch them, but write a description of what they found along with a multiplication fact that matches each arrangement. It’s great fun every time you do this.

Mysterious Multiplication Number Muncher

Ask students to come to the board and write a compete multiplication fact with product. Take turns until you have at least 12 facts on the board. Then ask students to hide their eyes while you erase one number from each problem. Make a monster noise and open and close the door and say, “Open your eyes. The Multiplication Number Muncher was just here and he munched some of the numbers. Who can help us replace them?” Allow students to come up and replace the missing numbers until all are correct. The anticipation is great every time you do this one!

Looking for more activities on how to teach multiplication? Try these Teacher-Tested Tips and Activities for Teaching the Area Model Multiplication Method .

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Word Problems on Multiplication

Word problems on multiplication for fourth grade students are solved here step by step.

Problem Sums Involving Multiplication: 1.  24 folders each has 56 sheets of paper inside them. How many sheets of paper are there altogether?

We can add 56 sheets 24 times

Since multiplication is repeated addition we can multiply 56 and 24 to get the answer.

[Sometime, more than one calculation is required.]  Therefore, altogether there are 1344 sheets.  

2. A carton holds 24 packets of biscuits. Each packet has 12 biscuits. How many biscuits can be packed in 45 cartons? 

In one carton we can pack 24 × 12 biscuits.

In 45 cartons, we can pack 24 × 12 × 45 biscuits.

24 × 12 = 288

Therefore, altogether there are 12,960 biscuits.

3. There are 226 pencils in a packet. How many pencils are there in 212 such packets?

4. A bag contains 289 apples. How many apples A will 72 such bags have?

Solution: 1 bag contains = 289 apples

72 bags contain = 289 ×  72 apples

                          2 8 9

                         × 7 2   

                          5 7 8

                +   2 0 2 3 0     

                    2 0 8 0 8  

Hence, 72 bags will contain 20,808 apples.

5. A car travels a distance of 345 km every day.  What distance will it travel in a year?

Distance travelled by the car in one day = 345 km

There are 365 days in a year.

Distance travelled by the car in 365 days = 345 km × 365

                       3 4 5                       × 3 6 5

                    1 7 2 5

                 2 0 7 0 0

          +  1 0 3 5 0 0

               1 2 5 9 2 5

Hence, the car will travel  1,25,925 km in a year.

Consider the following Examples on Word Problems Involving Multiplication:

1. A book costs $ 67. How much will be paid for 102 such books?  Solution:

The cost of one book            = $ 6 7                   6 7 Number of books                  = 1 0 2              × 1 0 2 The cost of 102 books          = $ 67 × 102        1 3 4                                           = $ 6834          + 6 7 0 0                                                                    6 8 3 4

Therefore, cost of 102 books = $ 6834  

2. A bicycle costs $ 215. How much will be paid for 87 such bicycles? 

Solution: 

The cost of one bicycle            = $ 2 1 5                   2 1 5 Number of bicycle                    = 8 7                        × 8 7 The cost of 87 bicycles            = $ 2 1 5 × 8 7        1 5 0 5                                              = $ 6834             + 1 7 2 0 0                                                                           1 8 7 0 5 Therefore, cost of 87 bicycles = $ 18705

3. The monthly salary of a man is $ 2,625. What is his annual income by salary? 

Monthly income               = $2,625                   2 6 2 5 Annual income                 = $2,625 × 12              × 1 2                                          = $31,500                 5 2 5 0                                                                  + 2 6 2 5 0                                                                      3 1 5 0 0

Therefore, annual income = $ 31,500

4. A chair costs $ 452 and a table costs $ 1750. What will be cost of 15 chairs and 30 tables? 

(i) Cost of one chair         = $ 452 Cost of 15 chairs             = $ 452 × 15                                     = $ 6,780 (ii) Cost of one table        = $ 1,750 Cost of 30 tables             = $ 1,750 × 30                                     = $ 52,500 Therefore, cost of 15 chairs and 30 tables = $ 6,780 + $ 52,500

Worksheet on  Word Problems on Multiplication:

1. Each student of class IV $ 75 for the flood victims. If there are 368 students in class IV, what is the total amount of money collected?

Answer: $ 27600

2. An orchard has 46 rows of mango trees. If there are 150 trees in each row. What is the total number of mango trees in the orchard?

Answer: 6900

3. A showroom has 165 bicycles. Each bicycle costs $ 4500. What is the total cost of all the bicycles? 

Answer: $ 742500

4. The teller in the bank received 814 notes today. If the value of each note is $ 500, what is the total amount of money collected by the teller?

Answer:  $ 407000

5. A car factory manufactures 75 cars each month. How many cars will be manufactured in the factory in one year?

Answer:  900

6. The National Library has 502 book shelves. In each shelf there are 44 books. What is the total number of books in the library?

Answer:  22088

7. Our heart beats about 72 times in a minute. How many times will it beat in an hour?

Answer:  4320

8. Shyam works for 10 hours in a day and Ram works for 9 hours in a day. Ram works for 6 days in a week and Sham works for 5 days in a week. Who works for more hours in a week and by how much?

Answer:  Ram, 4 hours

9. There are 100 baskets of fruit. Each basket has 24 kg of fruit. If half of the baskets are kept on the weighing machine, then what weight will be shown by the weighing machine?

Answer:  1200

10. A truck has 673 boxes of candies. Each box has a dozen candies in it. What is the total number of candies on the truck?

Answer:  8076

11. A packet consists of 600 chocolates. How many chocolates are there in 248 such packets?

Answer:   148800

12. A book contains 543 pages. How many pages are there in 22 such books?

Answer:   11946

13. A boat can carry 635 people. How many people can travel in 240 such boats?

Answer:   152400

14. A farmer produced 735 quintals of rice. He told it at the rate of 1,525 per quintal How much money did he get?

15. A transistor costs 2,492. Find the cost of 64 such transistors.

16. A rack can hold 1,850 books. How many books can be kept in 82 such racks.

17. A cartoon can hold 15 dozen of oranges. How many oranges are there in 924 cartons.

18. The cost of a doll is $ 524. What is the east of 680 such dolls?

19. The capacity of a water tank is 6450 litres. In a city, there are 250 such tanks. What is the storage capacity of the city?

20. A weaving machine makes 4148 m of cloth in a week. How much cloth will it in 48 weeks?

21. The water capacity of a tank is 1325 litres. Find the total capacity of such 174 tanks

22. In a village, there are 1265 farmers. Each farmer has 329 sheep. How many shees are there in all? 23. Nairitee reads 12 pages of a book in one hour How many pages are there in that book if she reads 5 hours in a day and finishes the book in 30 days?

24. A bus can carry 52 passengers in one tip. How many passengers will it carry in the month of July if it makes 5 trips in a day?

25. The monthly fee of a student a Rs. 530. There are 142 students in a class. How much fee is collected from that class?

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Free Printable Multi-Step Word Problems Worksheets for 7th Year

Multi-Step Word Problems: Discover a collection of free printable math worksheets for Year 7 students, designed to help them master solving complex problems with multiple steps. Enhance their skills and confidence with these valuable resources from Quizizz.

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