math problem solving about multiplication

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Arithmetic (all content)

Course: arithmetic (all content)   >   unit 3.

• Multiplication as equal groups

Intro to multiplication

• Basic multiplication
• Multiplication with arrays
• Understand multiplication using groups of objects
• Multiply with arrays
• Worked example: Whole numbers on the number line
• Represent multiplication on the number line
• More ways to multiply
• Ways to represent multiplication

Getting started with multiplication

Let's try another one.

• Your answer should be
• an integer, like 6 ‍  
• a simplified proper fraction, like 3 / 5 ‍  
• a simplified improper fraction, like 7 / 4 ‍  
• a mixed number, like 1   3 / 4 ‍  
• an exact decimal, like 0.75 ‍  
• a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍  
• (Choice A)   4 + 3 ‍   A 4 + 3 ‍  
• (Choice B)   4 × 3 ‍   B 4 × 3 ‍  
• (Choice C)   5 × 4 ‍   C 5 × 4 ‍  

Picturing multiplication

Equal sized groups.

• (Choice A)   3 × 3 ‍   A 3 × 3 ‍  
• (Choice B)   6 × 6 ‍   B 6 × 6 ‍  
• (Choice C)   6 + 3 ‍   C 6 + 3 ‍  
• (Choice D)   3 × 6 ‍   D 3 × 6 ‍  
• (Choice A)   7 × 7 ‍   A 7 × 7 ‍  
• (Choice B)   1 + 7 ‍   B 1 + 7 ‍  
• (Choice C)   1 × 7 ‍   C 1 × 7 ‍  
• (Choice A)   4 × 4 ‍   A 4 × 4 ‍  
• (Choice B)   4 + 6 ‍   B 4 + 6 ‍  
• (Choice C)   4 × 6 ‍   C 4 × 6 ‍  

Finding the total

Repeated addition.

• (Choice A)   7 + 7 ‍   A 7 + 7 ‍  
• (Choice B)   2 + 7 ‍   B 2 + 7 ‍  
• (Choice C)   7 + 7 + 7 + 7 + 7 + 7 + 7 ‍   C 7 + 7 + 7 + 7 + 7 + 7 + 7 ‍  

Skip counting

Let's try a problem.

• (Choice A)   Add 3 + 7 ‍   A Add 3 + 7 ‍  
• (Choice B)   Use skip counting 7 . . .14 … 21 ‍   B Use skip counting 7 . . .14 … 21 ‍  
• (Choice C)   Multiply 3 × 7 ‍   C Multiply 3 × 7 ‍  
• (Choice D)   Use repeated addition 7 + 7 + 7 ‍   D Use repeated addition 7 + 7 + 7 ‍  

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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

» Division Word Problems

» Word Problems

» Multiplication

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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.

Multiplication

In these lessons, we will look at some examples of the multiplication of whole numbers.

Related Pages Multiplication Using Fact Families Multiplication Word Problems More Lessons for Arithmetic Math Worksheets

For more practice in multiplication, you could go to our Interactive Math Zone where you can learn the multiplication tables and generate multiplication worksheets according to your needs and get them marked online.

The first number in the multiplication is called the multiplicand, the second number is called the multiplier and the answer is called the product.

The following diagram shows the parts of a multiplication: multiplicand, multiplier and product. Scroll down the page for more examples and solutions on multiplication.

Remember : Any number multiplied by 0 becomes 0.

Example: 1,343,244,654 × 0 = 0.

Multiplication of 2 numbers a and b , written as a × b , is actually a repeated addition of the number a over b times.

Example: 6 × 4 = 6 times of 4 = 4 + 4 + 4 + 4 + 4 + 4 = 24

To multiply numbers with more than one digit correctly, all digits must be placed in the correct position starting from the right.

If the multiplier has 2 or more digits then it is necessary to calculate the partial products first and then add them to get the final product.

Avoid the following common mistakes in multiplication .

Examples A and B have numbers in the wrong positions – wrong place values.

Example C – it is confusing to multiply more than 2 numbers at one time. Multiply the first 2 numbers and then use the result to multiply with the third number to get the final answer.

Multi-Digit Multiplication Single digit multiplier

2-digit Multiplier

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Multiplication

In math, multiplication is the method of finding the product of two or more numbers. It is a primary arithmetic operation that is used quite often in real life. Multiplication is used when we need to combine groups of equal sizes. Let us learn more about multiplication in this page.

What is Multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number .

Example: If there are 6 boxes of cupcakes and each box has 9 cupcakes, find the total number of cupcakes.

Solution: We can solve this question by addition but it would take longer to add these to get the answer. That is, 9 + 9 + 9 + 9 + 9 + 9 = 54 cupcakes. In other words, when we have larger numbers to work upon, then multiplication is useful.

Now, let us use multiplication to solve this problem. We will multiply the number of boxes with the number of cupcakes in each box. If we multiply 6 × 9, we will get the total number of cupcakes, which is 6 × 9 = 54 cupcakes. Thus, we can see that we get the same result in a shorter period of time. This is the reason why multiplication is also termed as repeated addition.

Multiplication Symbol (×)

In mathematics, we have different symbols. The multiplication symbol is one of the commonly used math symbols . In the example given above, we learnt about the multiplication of two numbers 6 and 9. If we observe the expression of multiplication (6 × 9 = 54), we can see that the symbol (× ) connects the two numbers and completes the given expression. Apart from the cross symbol (×), multiplication is also denoted by the mid-line dot operator (⋅) , and by the asterisk sign ( *).

Multiplication Formula

The multiplication formula is expressed as, Multiplicand × Multiplier = Product ; where:

• Multiplicand: The first number (factor).
• Multiplier: The second number (factor).
• Product: The final result after multiplying the multiplicand and multiplier.
• Multiplication symbol: '×' (which connects the entire expression)

Let us understand the multiplication formula with the help of the following expression.

7(multiplicand) × 5 (multiplier) = 35 (product)

Using this basic concept of multiplication let us learn how to solve multiplication problems.

How to Solve Multiplication Problems?

While solving multiplication problems, one-digit numbers can be multiplied in a simple way by using the multiplication tables , but for larger numbers, we split the numbers into columns using their respective place values , like ones, tens, hundreds, thousands, and so on. There are two types of multiplication problems:

• Multiplication without regrouping
• Multiplication with regrouping

Let us understand the two cases with the help of examples.

Multiplication Without Regrouping

Multiplication of two numbers without regrouping involves smaller numbers where there is no need to take a carry-over to the next higher place value. It is the basic level that could help a learner understand the basics of multiplication before moving on to the higher level of problems including regrouping. Let us understand this with the help of the example given below.

Example: Multiply 3014 by 2.

• Step 1: Start with the digit in ones place. (2 × 4 = 8)
• Step 2: Multiply 2 with the digit in tens place. (2 × 1 = 2)
• Step 3: Now, multiply 2 with the digit in hundreds place. (2 × 0 = 0)
• Step 4: Now multiply 2 with the digit in thousands place. (2 × 3 = 6)
• Step 5: 3014 × 2 = 6028.

Th H T O 3 0 1 4 × 2 6 0 2 8

Multiplication With Regrouping

Multiplication of more than two numbers with regrouping involves numbers with a 2-digit product. In this type of multiplication, we need to take a carry-over to the next higher place value. Let us understand this with the help of the example given below.

Example: Multiply 2468 with 8

Solution: Let us multiply 2468 × 8 using the steps given below and try to relate them with the figure given after the steps.

• Step 1: Start with the digit in ones place, that is, 8 × 8 = 64 ones which means 6 tens 4 ones. Now, carry 6 tens to the tens column.
• Step 2: Multiply 8 with the digit in the tens place, that is, 8 × 6 = 48 tens. Now, we will add this to the carry-over. This means, 48 + 6 (carry-over from step 1) = 54. Carry 5 to the hundreds column.
• Step 3: Multiply 8 with the digit in the hundreds place, that is, 8 × 4 = 32 hundreds. Now, let us add this to the carry-over from the previous step. This means, 32 + 5 (carry-over from step 2) = 37. We will again carry 3 to thousands column.
• Step 4: Multiply 8 with the digit in the thousands place, that is, 8 × 2 = 16 thousands. So, let us again add this to the carry-over, that is, 16 + 3 (carry-over from step 3) = 19
• Step 5: Therefore, the product of 2468 × 8 = 19744.

Multiplication Using Number Line

Multiplication on a number line means to apply the multiplication operation on a given set of numbers through a number line. A number line is a visual representation of numbers on a straight line. We know that multiplication is also known as repeated addition. So, to perform multiplication on a number line , we start from zero and move towards the right side of the number line for the given number of times.

Example: Multiply 3 × 5 using a number line.

Solution: Observe the following number line to see the working of 3 × 5 = 15. We will start from 0 and move towards the right of the number line We will form 3 groups of 5 equal intervals. This will take us to 15.

The above number line shows 3 times 5 is 15. The representation can also be written as 5 + 5 + 5 = 15. The multiplication statement is expressed as, 3 × 5 = 15.

Multiplication Word Problems

Multiplication word problems can be easily solved by carefully observing the situation and identifying the solution. Let us understand the theory behind the real-life multiplication word problems with the help of an interesting example.

Example: A box contains 245 fruits. Find the number of fruits in 4 such boxes using the multiplication formula.

Solution: To solve such multiplication word problems the easiest way is to note down the given parameters and then solve. Given: The total number of fruits in one box = 245 The number of boxes = 4 Total number of fruits in 4 such boxes = 245 × 4.

Step 1: Start with the digit in ones place. Multiply 4 × 5 = 20. Now carry 2 to the tens column. Step 2: Multiply 4 with the digit in tens place, that is, 4 × 4 = 16. Now, add this to the carry-over from the previous step. 16 + 2 (carry-over from step 1) = 18. From this, carry 1 to the hundreds column. Step 3: Multiply 4 with the digit in hundreds place, 4 × 2 = 8 hundreds. 8 + 1 (carry-over from step 2) = 9. Step 4: Therefore, the product of 245 × 4 = 980.

H T O 1 2 2 4 5 × 4 9 8 0

Therefore, the total number of fruits in 4 such boxes = 245 × 4 = 980.

Tips and Tricks on Multiplication:

Here is a list of a few tips and tricks that can be used while performing multiplication.

• In multiplication, the order of numbers does not matter. So choose the order that you are more comfortable with. When using the multiplication tables, compared to 9 × 4, students may remember 4 × 9 more easily.
• When multiplying three numbers, choose the two numbers that can be multiplied easily. For example, multiplying 5 × 17 × 2 will be difficult if we try to multiply 5 × 17 first. Instead of this, multiplying 5 and 2 gives 10 which can be easily multiplied by 17 to get 170.
• When multiplying a 2-digit number with a one-digit number, it sometimes helps to break the two-digit number as per the place values. Then multiply each part and add. For example, 37 × 4 can be solved mentally by breaking 37 as 30 + 7. Then 30 × 4 = 120 and 7 × 4 = 28. So, the final answer is 120 + 28 = 148. While this may seem more tedious when written down, it is much easier to solve mentally.
• Even if you do not remember the multiplication fact, it can be easily mentally figured out. For example, 17 × 9 is difficult to remember. But this can be restructured mentally as 17 × (10 - 1). So, the answer will be 170 - 17 = 153.

☛ Related Articles

• Long Multiplication
• Multiplication Calculator
• Multiplication Tables
• Multiplication Word Problems Worksheets
• Long Multiplication Worksheets
• Multiplication Worksheets

Multiplication Examples

Example 1: Use multiplication tricks to solve the following multiplication word problem. The price of a book is $48. Find the price of 500 such books.

Solution: Price of one book = $48 Price of 500 books = 500 × 48

H T O 5 0 0 × 4 8 4 0 0 0 +2 0 0 0 x 2 4 0 0 0 _

The price of such 500 books is $24000.

The other way to solve this question is to simply multiply 48 by 5 and attach two zeros with the final answer. So, by multiplying 48 × 5, we get 240. But the given value is 500, so our final product will be $24000.

Example 2: Solve the following multiplication word problem. What is 784 times 44?

Using the multiplication formula, 784 times 44 = 784 × 44

Therefore, 784 times 44 is 34496.

Example 3: State true or false for the following statements using the multiplication facts.

a.) Multiplication represents the basic idea of repeated subtraction.

b.) The multiplication formula is expressed as: Multiplicand × Multiplier = Product

a.) False, multiplication represents the basic idea of repeated addition of the same number.

b.) True, the multiplication formula is expressed as: Multiplicand × Multiplier = Product

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Practice Questions on Multiplication

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FAQs on Multiplication

What does multiplication mean.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to simplify the task of repeated addition of the same number . It is used when we need to combine groups of equal sizes. For example, if 5 baskets contain 4 apples each, then to find the total number of apples we can use multiplication and solve it as 5 × 4 = 20 apples.

Which Formula is Used to Perform Multiplication?

The formula that we use to perform multiplication is 'Multiplicand × Multiplier = Product'. For example, 9 (multiplicand) × 5 (multiplier) = 45 (product)

What are the Properties of Multiplication?

The different properties of multiplication are given below.

• Commutative property of multiplication : The product of two numbers does not change if we change the order of the numbers. This property of multiplication is known as the commutative property of multiplication which is represented as A × B = B × A. For example, 12 × 13 = 13 × 12 = 156.
• Associative property of multiplication : The product of three or more numbers does not change when we change the grouping of the numbers. This property of multiplication is known as the associative property of multiplication which is represented as A × (B × C) = (A × B) × C = B × (A × C). For example, 12 × (13 × 5) = (12 × 13) × 5 = 13 × (12 × 5) = 780.
• Identity property of multiplication : If any number is multiplied by 1, the product is the number itself. For example, 12 × 1 = 12. Here, 1 is the identity element of multiplication.
• Zero property of multiplication : If any number is multiplied by 0, the product is always zero. This is the zero property of multiplication . For example, 12 × 0 = 0.
• Distributive property of multiplication : As per the distributive property of multiplication , when we multiply a number with the sum of two or more addends, we get a result that is equal to the result that is obtained when we multiply each addend separately by the number. This property is also applicable to subtraction and is represented as A × (B + C) = AB + AC, or A × (B - C) = AB - AC. For example, 12 × (13 + 5) = (12 × 13) + (12 × 5) = 216.

What is the Multiplication Symbol?

While performing multiplication, we use a cross (×) symbol which connects the entire expression, this (×) symbol is known as the multiplication symbol. For example, 7 times 4 is 28 can be represented as 7 × 4 = 28.

What are the Parts of Multiplication?

The different parts of multiplication are expressed as follows. Let us understand this with an example: 6 × 4 = 24.

• Multiplicand (Factor): Multiplicand is the first number. In this case, 6 is the multiplicand.
• Multiplier (Factor): Multiplier is the second number. In this case, 4 is the multiplier.
• Product: The final result after multiplying the multiplicand and multiplier. In this example, 24 is the product.

Give an Example of a Multiplication Sentence.

In order to solve a multiplication problem, we need to write it in the form of a multiplication sentence. For example, what is 36 times 9? We know that 36 times 9 is written in the form of a multiplication sentence as 36 × 9 = 324. Here, 36 and 9 are the factors and 324 is the product. So, 36 times 9 is 324.

How is Multiplication Related to Addition?

Multiplication represents the basic idea of repeated addition of the same number. It simplifies the task of repeated addition. For example, if there are 3 packs of pencils and each pack has 6 pencils, let us find the total number of pencils. We can solve this question by addition, that is, 6 + 6 + 6 = 18 pencils. However, when we have larger numbers to deal with, then multiplication is useful. Now, if we use multiplication to solve this problem, we need to multiply the number of packs with the number of pencils in each pack. This means, 3 × 6 = 18 pencils. Thus, we get the same result easily. Hence, multiplication is also termed as repeated addition.

What is the Difference Between Multiplication and Division?

In multiplication, we combine groups of equal sizes, while in division, we split or separate the given number into equal groups. Multiplication is the product of two or more numbers where the numbers that are multiplied are the factors and the result is termed as the product. In division , the number that is divided is called the dividend, the number which divides the dividend is called the divisor and the result is the quotient.

How is Multiplication Used in Everyday Life?

Multiplication is commonly used in our everyday lives. For example, we can calculate the price of the items according to the rate per quantity, we can find the correct quantity of the ingredient to be used in cooking, we can calculate the value of multiple items when the value of 1 item is known, and so on.

What are the Multiplication Strategies?

Multiplication strategies are different ways in which multiplication can be learned. For example, multiplication using a number line, multiplication with the help of a place value chart, separating the Tens and Ones and then multiplying them separately, and so on. These strategies help learners to understand the multiplication concept with a broader perspective.

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Common Core - State Standards Initiative

Multiplication is an essential math skill with an abundance of uses in everyday life. Using Math Games, children can make sure they get the hang of this skill and actually enjoy reviewing it. Our free games, PDF worksheets, apps, and digital textbook help make that possible!

Using our suite of instructional tools, kids can practice:

• Multiplication with numbers and pictures
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• Factors of multiplication

Teachers and parents can feel confident that students are learning the relevant material for their grade. They can also track pupils’ progress using reports sent to them by Math Games. Practicing math has never been so easy or fun, and it can happen at home or at school! Choose a skill above to begin playing.

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Multiplication Word Problems 4th Grade

Welcome to our Multiplication Word Problems for 4th Grade. Here you will find our range of printable multiplication problems which will help your child apply and practice their multiplication and times tables skills to solve a range of 'real life' problems at a 4th grade level.

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• 4th Grade Multiplication Problems Worksheets
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Multiplication Word Problems 4th Grade Online Quiz

Multiplication word problems, 4th grade multiplication problems.

Here you will find a range of problem solving worksheets involving multiplication.

Each sheet involves solving a range of written multiplication problems.

There are 3 levels of difficulty for each worksheet below: A,B and C.

Worksheet A is the easiest level, suitable for children at the beginning of their grade.

Worksheet B is a medium level worksheets for children who are working at the expected level in their grade.

Worksheet C is set at a harder level, suitable for children who are more able mathematicians.

The problems in each worksheet are similar in wording, but the numbers involved become trickier as the level gets harder.

To encourage careful checking and thinking skills, each sheet includes one 'trick' question which is not a multiplication problem. Children need to spot this word problem, and work out which operation they need to solve it.

Using these sheets will help your child to:

• apply their multiplication and times tables skills at a 4th grade level;
• apply their times table knowledge to work out related facts;
• recognise multiplication problems, and try to spot 'trick' problems;
• solve a range of 'real life' problems.

Some of the sheets have a UK version with spelling and currency symbols set for the UK.

4th Grade Multiplication Word Problem Sheets

Series 4 sheet 1 set.

• Series 4 Sheet 1A (easier)
• Series 4 Sheet 1B (medium)
• Series 4 Sheet 1C (hard)

• PDF Series 4.1 (6 sheets)
• PDF Series 4.1 UK version (6 sheets)

Series 4 Sheet 2 Set

• Series 4 Sheet 2A (easier)
• Series 4 Sheet 2B (medium)
• Series 4 Sheet 2C (hard)
• PDF Series 4.2 (6 sheets)
• PDF Series 4.2 UK version (6 sheets)

Series 4 Sheet 3 Set

• Series 4 Sheet 3A (easier)
• Series 4 Sheet 3B (medium)
• Series 4 Sheet 3C (hard)
• PDF version Series 4.3 (6 sheets)
• PDF version Series 4.3 UK version (6 sheets)

Multiplication Word Problems Walkthrough Video

This short video walkthrough shows several problems from our Multiplication Problems Worksheet 4.3A being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

Looking for some easier Multiplication Problems?

In our 3rd Grade Multiplication word problem area, you will find a range of multiplication problems aimed at 3rd graders.

The following areas are covered:

• basic multiplication fact sheets;
• multiplication facts to 10x10;
• 2 digits x 1 digit
• Multiplication Word Problem Worksheets 3rd Grade

Looking for some harder Multiplication Problems?

In our 5th Grade Multiplication word problem area, you will find a range of multiplication problems aimed at 5th graders.

• multiplication fact sheets;
• multiplication related facts to 10x10 e.g. 6 x 70, 8 x 0.6, etc;
• problems needing written multiplication methods to solve e.g. 2 digits x 2 digits, decimal multiplication
• Multiplication Problems Printable 5th Grade

More Recommended Math Worksheets

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Looking for more 4th Grade Word Problems?

Here is our set of 4th grade math problems to help your child with their problem solving skills.

Each problem sheet comes complete with answers, and is available in both standard and metric units where applicable.

Many of the problems are based around 'real-life' problems and data such as the world's heaviest animals.

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

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

• 4th Grade Math Word Problems

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
• Blank Multiplication Charts to 10x10
• Blank Printable Charts to 12x12
• 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.

Our quizzes have been created using Google Forms.

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This quick quiz tests your knowledge and skill at solving multiplication word problems by tens and hundreds.

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Problem Solving on Multiplication

Problem solving on multiplication will help us to get the idea on how to solve the basic multiplication statement problems.

1.  Three groups of ponies are eating. There are 2 ponies in each group. How many ponies are there in all?

Solution: 

Number of groups of ponies = 3

Number of ponies in each group = 2

Therefore, total number ponies = 3 × 2 = 6

2.  A coloring-pen cost 4 dollars. How many dollars Alex must have paid for 5 coloring-pens?

Cost of a coloring-pen = $4

Number of coloring-pens = 5

Therefore, cost of 5 coloring-pens = $4 × 5 = $20

3. Andy had 2 groups of toy kittens. There were 5 kittens in each group. He put all the kittens in a basket. How many kittens were in the basket?

Number of groups of toy kittens Andy had = 2

Number of kittens in each group = 5

Therefore, total number of kittens in the basket = 2 × 5 = 10

4. A table has 4 corners. In a classroom there are 8 tables. How many corners do 8 tables have in all?

Number of corners a table has = 4

Number of tables = 8

Therefore, total number of corners 8 tables have = 4 × 8 = 32

More examples on statement problem solving on multiplication:

5. John is 9 years old. His brother is 3 times older than him. How old is John’s brother?

Age of John = 9 years

Number of times his brother is older than John = 3

Age of John’s brother = 9 × 3 = 27 years

6. Mary is 5 years old. Her mother is 7 times as old as she is. How old is her mother?

Age of Mary = 5 years

Number of times her mother is older than Mary = 7

Age of her mother = 5 × 7 = 35 years

7. There are 4 baskets. Each basket has 2 kittens. How many kittens are there in all? 

here are                        4 baskets.

Each basket has             2 kittens

This can be written as:   4 × 2 = 8

Thus, there are 8 kittens in all

8. There are 5 crayon boxes. Each box has 3 crayons. How many crayons are there in all?

There are                     5 boxes

Each box has                3 crayons

This can be written as:  5 × 3 = 15

Thus, there are 15 crayons in all.

Worksheet on Problems on Multiplication:

1. Count and complete the following multiplication sums.

(i) There are 5 wheels. 1 wheel has 5 spokes.

     5 × 5 = _____

Thus, 5 wheels have _____ spokes.

(ii) There are 3 zebras. I zebra has 4 legs.

     3 × 4 = _____

Thus, 3 zebras have _____ legs.

(iii) There are 5 flower pots. I flower pot has 3 flowers.

      5 × 3 = _____

Thus, 5 flower pots have _____ flowers.

(iv) There are 6 bicycles. I bicycle has 2 tyres.

      6 × 2 = _____

Thus, 6 bicycles have _____ tyres.

(v) There are 3 spiders. I spider has 6 legs.

     3 × 6 = _____

Thus, 3 spiders have _____ legs.

2. Word Problems on Multiplication:

(i)  A pair of shoes contains 2 shoes. How many shoes are there in 4 pairs?

(ii) There are 5 boys in a row. How many boys are there in 5 rows?

(iii) There are 2 wheels in a bicycle. How many wheels are there in 6 bicycles?

2.  (i) 8

(ii) 25

(iii) 12

2nd Grade Math Practice  

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Math Word Problems

Welcome to the math word problems worksheets page at Math-Drills.com! On this page, you will find Math word and story problems worksheets with single- and multi-step solutions on a variety of math topics including addition, multiplication, subtraction, division and other math topics. It is usually a good idea to ensure students already have a strategy or two in place to complete the math operations involved in a particular question. For example, students may need a way to figure out what 7 × 8 is or have previously memorized the answer before you give them a word problem that involves finding the answer to 7 × 8.

There are a number of strategies used in solving math word problems; if you don't have a favorite, try the Math-Drills.com problem-solving strategy:

• Question : Understand what the question is asking. What operation or operations do you need to use to solve this question? Ask for help to understand the question if you can't do it on your own.
• Estimate : Use an estimation strategy, so you can check your answer for reasonableness in the evaluate step. Try underestimating and overestimating, so you know what range the answer is supposed to be in. Be flexible in rounding numbers if it will make your estimate easier.
• Strategize : Choose a strategy to solve the problem. Will you use mental math, manipulatives, or pencil and paper? Use a strategy that works for you. Save the calculator until the evaluate stage.
• Calculate : Use your strategy to solve the problem.
• Evaluate : Compare your answer to your estimate. If you under and overestimated, is the answer in the correct range. If you rounded up or down, does the answer make sense (e.g. is it a little less or a little more than the estimate). Also check with a calculator.

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• Multiplication Word Problems One-Step Multiplication Word Problems up to 10 × 10
• Division Word Problems Division Facts Word Problems with Quotients from 5 to 12
• Multi-Step Word Problems Easy Multi-Step Word Problems

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1. SplashLearn

2. math bingo, 3. tower math, 4. squeebles maths race, 5. tic tac math, 6. prodigy math, 7. montessori maths multiplication, 8. math slide, 9. mathtango, 10. math ninja.

Multiplication can be tough for kids because it demands quick recall of facts and understanding of number patterns . The traditional method of rote memorization often leads to frustration and disengagement. This is where well-designeds multiplication apps for kids can make a difference. These apps combine fun games, adaptive challenges, and clear feedback to motivate children.

SplashLearn: Most Comprehensive Learning Program for PreK-5

SplashLearn inspires lifelong curiosity with its game-based PreK-5 learning program loved by over 40 million children. With over 4,000 fun games and activities, it’s the perfect balance of learning and play for your little one.

In this blog, we’ll explore the 11 best multiplication apps to help your child master this essential math skill.

Who is it for: Grades PreK through 5

SplashLearn is one of the best multiplication apps for kids, offering a well-rounded approach to multiplication through interactive games , printable worksheets , and game-based live classes.

What are the key multiplication topics covered on SplashLearn?

• Multiplication Strategies: Helps children understand patterns and shortcuts in multiplication.
• Times Tables : Encourages quick recall of basic multiplication facts.
• Multiplication Properties : Introduces concepts such as the commutative , associative , and distributive properties .
• Multiply by Multiples of 10: Teaches efficient methods for multiplying larger numbers .
• Estimate Products: Develop skills in approximating the results of multiplication.
• Multi-Digit Multiplication: Prepares students for more advanced multiplication challenges.

Each topic is designed to help children grasp key concepts while having fun. The adaptive learning system adjusts the difficulty level, ensuring kids practice at a comfortable yet challenging pace while worksheets reinforce these skills. Detailed progress tracking provides valuable insights to parents and teachers. With SplashLearn’s engaging learning environment, kids can confidently build their multiplication knowledge step by step, helping them master this critical math skill.

Available on: Android and iOS

Who is it for: Grades K-4

Math Bingo uses a bingo-style game format, making it one of the more fun apps for learning multiplication. Children enjoy playing bingo while solving multiplication problems to fill their cards. The app integrates game elements that reward quick thinking and accurate answers, reinforcing multiplication skills through repetition and positive feedback. This setup not only entertains but also boosts children’s confidence in their multiplication abilities, making it suitable for young learners who thrive on interactive and competitive learning environments.

Who is it for: Grades 2-6

Tower Math utilizes tower-defense style gameplay to teach multiplication . As players defend their towers by solving multiplication questions, they practice their multiplication skills and develop strategic thinking. This app makes learning multiplication a dynamic and immersive experience. The emphasis on strategy and problem-solving encourages learners to understand multiplication deeply, not just memorize facts, fostering a more comprehensive grasp of the subject.

Who is it for: Grades 1-5

Squeebles Maths Race brings a competitive edge to multiplication learning, making it one of the best multiplication apps for kids who enjoy a fast-paced challenge. Children race against each other or the computer, answering multiplication questions to see who reaches the finish line first. This format keeps kids engaged and motivated to practice multiplication while enhancing their speed and accuracy in problem-solving. With adjustable difficulty levels, this app is suitable for varying abilities, ensuring a personalized and productive learning experience.

Available on: iOS

Tic Tac Math is the app for multiplication tables learning. It combines the familiar tic-tac-toe game with multiplication practice, offering a playful approach to math learning. Children need to solve multiplication problems correctly to place their marks, helping them practice their times tables as they play. This engaging mix of strategy and problem-solving encourages repetition, reinforcing multiplication facts through consistent and enjoyable practice. It stands out among apps for learning multiplication because of its simplicity, helping even the youngest learners start building their multiplication skills early.

Who is it for: Grades 1-8

Prodigy Math’s RPG-inspired gameplay transforms multiplication practice into a grand adventure. Children create avatars, explore virtual worlds, and battle monsters using their multiplication skills. Its adaptive algorithm ensures questions match each child’s learning level, gradually increasing in difficulty as their understanding improves. This method encourages steady progress while keeping learners engaged and challenged. 

Who is it for: Grades 1-4

Montessori Maths Multiplication employs a Montessori-inspired methodology to teach multiplication concepts by encouraging children to explore and understand the principles behind multiplication. This app uses tactile, visual aids and interactive activities that align with the Montessori approach, guiding kids through the learning process with clear, practical examples. It emphasizes understanding rather than memorization, making it an ideal choice among apps for learning multiplication that helps build a strong foundational knowledge.

Who is it for: Grades K-5

Math Slide leverages multiplayer functionality to make practicing multiplication facts both collaborative and competitive. Up to four children can play together on one device, racing to match the correct multiplication answers. This dynamic format engages learners and builds their confidence as they improve their speed and accuracy through repeated practice. Its unique combination of competition and cooperation makes it one of the best multiplication apps for reinforcing skills.

MathTango immerses children in a creative, world-building adventure where they solve multiplication problems to advance. With puzzles and quests, this app engages kids in an imaginative setting that combines multiplication practice with exploration. Its interactive format allows children to experiment and solve problems in ways that keep them motivated and eager to learn. By providing a captivating environment, MathTango makes multiplication an exciting journey.

Math Ninja blends action and adventure with multiplication learning in a ninja-themed world. Kids practice their multiplication skills to fend off enemies, unlocking new levels and tools as they progress. By combining fast-paced gameplay with multiplication drills, it motivates learners to stay focused while having fun. This approach builds both confidence and competence, helping kids improve their multiplication skills with every challenge.

11. Monster Math

Monster Math stands out as one of the best multiplication apps for 4th graders, thanks to its unique, story-driven approach.. The adventures of Maxx, the monster, introduce children to multiplication through interactive storylines that make mathematical concepts relatable and engaging. Customizable math challenges allow parents and teachers to align the app’s content with each child’s learning needs, ensuring that concepts like multiplication are not only understood but also applied in various contexts. 

The best multiplication apps provide children focused practice on multiplication strategies, times tables, and multi-digit problems. This structured approach helps children overcome specific challenges in multiplication, fostering a deeper understanding that will benefit their overall math performance.

Frequently Asked Questions (FAQs)

What is the best free app for learning multiplication tables.

A highly recommended free app for learning multiplication tables is SplashLearn, which provides interactive games and exercises to help kids practice and master their times tables in a fun way. You can play two games every day for free.

At what age should a child learn multiplication?

Children typically start learning multiplication around ages 7-9, or in grades 2-3, once they have a solid foundation in addition and subtraction .

What are some multiplication apps for Android?

Multiplication apps like SplashLearn, Monster Math, and MathTango are available for Android, providing interactive games and challenges to help kids master multiplication.

What are some good multiplication apps for iPhone?

SplashLearn, Tic Tac Math, and Squeebles Maths Race are excellent multiplication apps for iPhone that offer practice exercises and adaptive learning.

Which are the best multiplication apps for 3rd graders?

For 3rd graders, SplashLearn, Tower Math, and Montessori Maths Multiplication provide engaging content that caters to their learning level while reinforcing core multiplication concepts.

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Multiplication within 20.

In these word problem worksheets all multiplicands are single digit numbers and all products are less than 20, so the computations are kept simple and the concepts emphasized. Some questions ask students to write the multiplication sentence which describes the situation in the problem. 

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Setting Up High-Impact Tasks in Elementary School Math Centers

Allowing students to select math centers based on interest instead of skill level provides opportunities for them all to grow.

In our work as math coaches and consultants, we are often asked to help teachers structure small group practice time. Teachers who are required to implement “what I need” (WIN) groups or small group math time have questions about how to put it into practice so that the wide range of students’ needs are being met. We invite you to consider how prioritizing equity-based principles and providing high-impact tasks can offer a path to differentiating instruction, deepening skills and concepts, and strengthening problem-solving. 

differentiation in math centers

Elementary teachers are often encouraged to use math workshop (also called math center time or math rotations) to differentiate. In this model, teachers create structures for small groups of students to move from one task to another in timed rotations to complete activities that the teacher has assigned and prepared for them. In this model, there is almost always a “teacher table,” where the teacher works closely with small groups of students on “what they need.” 

This model can send unintended messages to students about what it means to be a successful, competent learner of mathematics. It can result in a math classroom that is hierarchical and leveled rather than one that supports students with multi-abilities. Students may begin at early ages to feel the impact of being identified and tracked . So what is the alternative?

designing better Tasks for math centers

Math centers offer ideal opportunities to go deep with the mathematics . The choice of tasks and the ways that teachers interact with students during the workshop impact essential equity standards. We prioritize activities or games with a low floor and high ceiling and that have a high cognitive demand with multiple solution strategies. These games and activities encourage students to make conjectures, to reason through multiple solutions, and to practice important mathematical and problem-solving skills . 

One example we often begin with is counting collections . The task focuses on significant mathematics, and yet the directions are uncomplicated. Students choose a collection of items and then figure out how many items are in the collection . The complexity and rigor come from students having to figure out how to count and then how to represent their count. Students develop essential skills such as counting, sorting, grouping, and problem-solving.  

Role of the teacher: Instead of having a teacher be stationary at a table where they supervise and lead students through a task, they move around the classroom listening to the students as they engage in the activities. They press on ideas, nudge and notice how students respond and interact. They ask probing questions to help surface mathematical ideas, and they take notes on what they observe and how students respond. Then they use their observations to assess student understanding and inform planning.

Teachers can still gather a small group of students together to bring forward some aspect of their work. In the example of counting collections, we sometimes bring together students to practice ideas related to one-to-one correspondence or extend skills related to number sense.

Grouping Students for centers

We plan tasks for math centers that allow us to leverage multiple competencies among learners and challenge spaces of marginality. In small groups or partnerships, students with different strengths learn with and from each other as they collaborate on activities. We see the variation in student abilities within a group as benefiting all group members, as it allows for greater richness of ideas and knowledge mobility . Students with varying skills and solution strategies work side-by-side using each other as equal thought partners who are able to engage in the mathematics as sense-makers. 

Many math games, like the classic “compare” games , offer the kind of richness that makes them well-suited as tasks that leverage the multiple competencies of our students during math workshop. For instance, when they play “multiplication compare,” the game directions are routine: Draw the number of cards needed, figure out the product, and compare it to the product of your partner’s hand. We use sentence starters to support partner talk for all learners and develop protocols for partner decision-making .

The success of multi-ability groups depends on how the teacher establishes an equitable math learning community and how that community is nurtured and maintained throughout the year. We pair students randomly in order to disrupt any narrative that only certain kinds of learners are capable of engaging in deep mathematics. Random groupings position all learners as competent and capable.

Role of the teacher: Following a class period of math rotations, we debrief with our students , not only about the mathematical content they have been engaged in, but also about aspects of their group work and interactions. We help students acknowledge and describe how a partner’s solution offered something new and productive to consider.  

Affirming Learners’ Math Identities

Because we see math centers as opportunities to position all students as competent, we prioritize student agency and expand access for all . We select games and activities that support students’ independence, interdependence, and decision-making. Choice is an essential part of the math workshop we are advocating for. When we reposition our students as competent independent learners and give them opportunities to make mathematical decisions, students will rise to the challenge in ways that surprise and excite their teachers as they develop more positive identities as math learners.

Role of the teacher: As we interact with students during math workshop, we press on important mathematical ideas and help shape how students view mathematics and how they view their relationship to mathematics. For example, during “counting collections,” we might say, “You have shown one way to count this quantity. Is there another way you and your partner could count this collection and represent it so that other people would know easily how many items there are? Mathematicians often make several attempts at representing their ideas in order to communicate them clearly to others. See what you might come up with for a second attempt.”

Or, after observing students at a table playing “multiplication compare,” we might say, “I noticed that your group had a few ways of figuring out who had the greater product. When we meet at the end of workshop time, it would be helpful for your classmates to hear your ideas. Why don’t you talk together now about how you might present your ideas to the whole group?”

What’s Next?

We believe it’s time to reconsider some of the assumptions and expectations that educators typically bring to the design and implementation of math workshop time. We suggest prioritizing the development of positive math identities for all students by providing opportunities for access, agency, collaboration, and independence by giving them choice and voice.

We have found that when we rethink the role of the teacher, the kinds of mathematically rich tasks we offer, and the way in which we group students, math workshop can become integral to the creation of equitable math classrooms and be a place for students to develop strong habits of mind alongside math competencies.

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From suburbs in the Northeast to major cities on the West Coast, a surprising subject is prompting ballot measures, lawsuits and bitter fights among parents: algebra.

Students have been required for decades to learn to solve for the variable x, and to find the slope of a line. Most complete the course in their first year of high school. But top-achievers are sometimes allowed to enroll earlier, typically in eighth grade.

The dual pathways inspire some of the most fiery debates over equity and academic opportunity in American education.

Do bias and inequality keep Black and Latino children off the fast track? Should middle schools eliminate algebra to level the playing field? What if standout pupils lose the chance to challenge themselves?

The questions are so fraught because algebra functions as a crucial crossroads in the education system. Students who fail it are far less likely to graduate. Those who take it early can take calculus by 12th grade, giving them a potential edge when applying to elite universities and lifting them toward society’s most high-status and lucrative professions.

But racial and economic gaps in math achievement are wide in the United States, and grew wider during the pandemic. In some states, nearly four in five poor children do not meet math standards.

To close those gaps, New York City’s previous mayor, Bill de Blasio, adopted a goal embraced by many districts elsewhere. Every middle school would offer algebra, and principals could opt to enroll all of their eighth graders in the class. San Francisco took an opposite approach: If some children could not reach algebra by middle school, no one would be allowed take it.

The central mission in both cities was to help disadvantaged students. But solving the algebra dilemma can be more complex than solving the quadratic formula.

New York’s dream of “algebra for all” was never fully realized, and Mayor Eric Adams’s administration changed the goal to improving outcomes for ninth graders taking algebra. In San Francisco, dismantling middle-school algebra did little to end racial inequities among students in advanced math classes. After a huge public outcry, the district decided to reverse course.

“You wouldn’t think that there could be a more boring topic in the world,” said Thurston Domina, a professor at the University of North Carolina. “And yet, it’s this place of incredibly high passions.”

“Things run hot,” he said.

In some cities, disputes over algebra have been so intense that parents have sued school districts, protested outside mayors’ offices and campaigned for the ouster of school board members.

Teaching math in middle school is a challenge for educators in part because that is when the material becomes more complex, with students moving from multiplication tables to equations and abstract concepts. Students who have not mastered the basic skills can quickly become lost, and it can be difficult for them to catch up.

Many school districts have traditionally responded to divergent achievement levels by simply separating children into distinct pathways, placing some in general math classes while offering others algebra as an accelerated option. Such sorting, known as tracking, appeals to parents who want their children to reach advanced math as quickly as possible.

But tracking has cast an uncomfortable spotlight on inequality. Around a quarter of all students in the United States take algebra in middle school. But only about 12 percent of Black and Latino eighth graders do, compared with roughly 24 percent of white pupils, a federal report found .

“That’s why middle school math is this flashpoint,” said Joshua Goodman, an associate professor of education and economics at Boston University. “It’s the first moment where you potentially make it very obvious and explicit that there are knowledge gaps opening up.”

In the decades-long war over math, San Francisco has emerged as a prominent battleground.

California once required that all eighth graders take algebra. But lower-performing middle school students often struggle when forced to enroll in the class, research shows. San Francisco later stopped offering the class in eighth grade. But the ban did little to close achievement gaps in more advanced math classes, recent research has found.

As the pendulum swung, the only constant was anger. Leading Bay Area academics disparaged one another’s research . A group of parents even sued the district last spring. “Denying students the opportunity to skip ahead in math when their intellectual ability clearly allows for it greatly harms their potential for future achievement,” their lawsuit said.

The city is now back to where it began: Middle school algebra — for some, not necessarily for all — will return in August. The experience underscored how every approach carries risks.

“Schools really don’t know what to do,” said Jon R. Star, an educational psychologist at Harvard who has studied algebra education. “And it’s just leading to a lot of tension.”

In Cambridge, Mass., the school district phased out middle school algebra before the pandemic. But some argued that the move had backfired: Families who could afford to simply paid for their children to take accelerated math outside of school.

“It’s the worst of all possible worlds for equity,” Jacob Barandes, a Cambridge parent, said at a school board meeting.

Elsewhere, many students lack options to take the class early: One of Philadelphia’s most prestigious high schools requires students to pass algebra before enrolling, preventing many low-income children from applying because they attend middle schools that do not offer the class.

In New York, Mr. Blasio sought to tackle the disparities when he announced a plan in 2015 to offer algebra — but not require it — in all of the city’s middle schools. More than 15,000 eighth graders did not have the class at their schools at the time.

Since then, the number of middle schools that offer algebra has risen to about 80 percent from 60 percent. But white and Asian American students still pass state algebra tests at higher rates than their peers.

The city’s current schools chancellor, David Banks, also shifted the system’s algebra focus to high schools, requiring the same ninth-grade curriculum at many schools in a move that has won both support and backlash from educators.

And some New York City families are still worried about middle school. A group of parent leaders in Manhattan recently asked the district to create more accelerated math options before high school, saying that many young students must seek out higher-level instruction outside the public school system.

In a vast district like New York — where some schools are filled with children from well-off families and others mainly educate homeless children — the challenge in math education can be that “incredible diversity,” said Pedro A. Noguera, the dean of the University of Southern California’s Rossier School of Education.

“You have some kids who are ready for algebra in fourth grade, and they should not be denied it,” Mr. Noguera said. “Others are still struggling with arithmetic in high school, and they need support.”

Many schools are unequipped to teach children with disparate math skills in a single classroom. Some educators lack the training they need to help students who have fallen behind, while also challenging those working at grade level or beyond.

Some schools have tried to find ways to tackle the issue on their own. KIPP charter schools in New York have added an additional half-hour of math time to many students’ schedules, to give children more time for practice and support so they can be ready for algebra by eighth grade.

At Middle School 50 in Brooklyn, where all eighth graders take algebra, teachers rewrote lesson plans for sixth- and seventh-grade students to lay the groundwork for the class.

The school’s principal, Ben Honoroff, said he expected that some students would have to retake the class in high school. But after starting a small algebra pilot program a few years ago, he came to believe that exposing children early could benefit everyone — as long as students came into it well prepared.

Looking around at the students who were not enrolling in the class, Mr. Honoroff said, “we asked, ‘Are there other kids that would excel in this?’”

“The answer was 100 percent, yes,” he added. “That was not something that I could live with.”

The post The Algebra Problem: How Middle School Math Became a National Flashpoint appeared first on New York Times .

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