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20 Multiplication Word Problems for 3rd to 5th Grades With Tips On Supporting Students’ Progress

Steven Eastes

Multiplication word problems are mathematical word problems that use real-life scenarios involving multiplication to find the solution. Multiplication word problems teach students to apply their knowledge of their times tables and build up skills in standard algorithm multiplication.

As children advance through elementary school, they will develop their times tables skills. Skills to tackle word problems involving multiplication develop alongside this from 3rd grade to 5th grade.

How to build mathematical skills to tackle multiplication word problems

As children develop their knowledge of multiplication, it is essential that they are exposed to visuals and concrete manipulatives to understand the concept of multiplication. These resources aim to aid children’s understanding of multiplication and allow them to make connections to real-world situations.

Multiplication Word Problems For 3rd - 5th Grade

Develop your 3rd - 5th grade students multiplication reasoning and problem solving skills with these 10 questions and answers per worksheet!

As children become more confident in their ability to multiply they will start to apply their skills to beyond one-step problems and begin to solve complex word problems, and multi-step problems that may involve more than one operation.

In two-step problems children may need to use their addition word problems , subtraction word problems , fraction word problems and division word problems skills to find the solution. These skills are built upon throughout lower and upper elementary. Furthermore, having a student who understands place value will also aid them in their problem solving skills.

It is important that children are exposed to arithmetic activities and fluency tasks together with regular word problems. To help, in this blog you will find multiplication word problems for all grades from 3rd grade up to 5th grade, complete with examples and solutions for you to use with your students.

Multiplication in 3rd Grade

In 3rd grade, children should be able to recall all products of two one-digit numbers and division facts for these tables. Additionally, they begin writing the multiplication, division and equals signs and show that multiplication of two numbers can be done in any order due to the commutative theory. 

They will also develop efficient mental methods using commutativity and associativity such as 5 x 8 = 40 and so 8 x 5 = 40 as well as deriving related facts such as , if 2 x 3 = 6 then 20 x 3 = 60. Students will also practice their written multiplication strategy starting with calculations of two-digit numbers by one-digit numbers via arrays and area models.

3rd graders use arrays, repeated addition, concrete materials and mental methods to solve word problems. By the end of 3rd grade, they also begin to successfully write and calculate multiplication statements and solve missing number problems. 

It is also important to develop our students’ vocabulary and to consider the different ways of saying we are multiplying. Multiplication word problems are fantastic at doing this by using phrases such as ‘the product of’, ‘equal groups’, ‘use multiplication tables’ and ‘arrays’. Concrete materials will obviously assist in this understanding too.

By the end of 3rd grade students will mentally know and use place value to understand about multiplying by 10 and 100, recognize and use factor pairs and be able to multiply three-digit numbers by one-digit numbers. 

When working on multiplication word problems, students will look at integer scaling problems and more complex correspondence problems such as ‘n objects are connected to m objects’. These two-step problems will be based on real-life scenarios around: measure, money and fractions.

Multiplication in 4th and 5th grade

In 4th grade, students continue to practice multiplying using the area model, multiplying 4-digit by one-digit numbers. In 5th grade, students are introduced to standard algorithm multiplication, where students will multiply 4-digit numbers by two-digit numbers. 

Children should use their knowledge of factors, multiples, and prime numbers to assist them in their problem solving. Being familiar with multi-step word problems and knowing how to apply their knowledge of multiplication in a quick, accurate manner is essential.

Why are multiplication word problems important for children’s understanding of multiplication

Word problems are a great opportunity to bring math to life. They enable children to see the link between the math they do in the classroom and how they can apply it in real-life scenarios and avoid the phrase ‘why do we need to learn this anyway?’

In lower elementary word problems allow for the chance to use concrete materials and manipulatives rather than a constant stream of multiplication word problem worksheets. 

Children get a hands-on opportunity to problem solve and visually see how to create arrays or use repeated addition. While this continues into upper elementary, learners will use concrete materials less and instead embark on the formal written methods of standard algorithm multiplication so that they become confident with mental and formal methods.

In addition, children develop key skills such as:

• building problem solving skills
• developing mathematical language skills
• develop an understanding between multiplication and division and how we can use, and may need to use both, to solve two-step problems. We may need to multiply before we use standard algorithm division for example.
• be able to apply mathematical concepts to real life situations.

Teaching how to solve multiplication word problems in elementary school

Once the concept of multiplication is embedded and children understand how to use concrete materials, for example how to visually create an array to represent the multiplication needed, the next step is to advance to multiplication word problems.

When providing children with multiplication word problem worksheets or multiplication word problems challenge cards, it is important that children are able to read the question carefully and understand the context before extracting the math from it. 

Students need to be able to interpret what they are being asked. What operation do they need to do? Or do they need to do two operations? Is it a one-step problem or a two-step problem? In the word problems below the focus will be multiplication, whether representing it visually, like in lower elementary, or moving up to formal written methods in upper elementary.

Example of a multiplication word problem

Amy is making the party bags for her birthday party. She has invited 10 friends and they will have three chocolates in their bag. How many chocolates will Amy need altogether?

How to solve this:

Firstly we need to know that Amy has invited 10 friends so there will be 10 party bags. She will put 3 chocolates in each bag. So we know:-

• There are 10 friends/party bags
• They will have 3 chocolates each
• We therefore need to multiply, or use repeated addition, to times 10 by 3 to solve the problem.
• So to solve this problem we could draw a number line starting at zero (0) and repeatedly add three (3) each time. We need to repeat this ten (10) times to attain the answer.
• We could mentally use our times table knowledge to do 10 x 3, or 3 x 10 or visually represent this as an array. We could even show this as a bar model.
• We could formally use multiplication to solve this problem.

How would we represent this visually?

Below are visual representations of the above problem to show how a child may represent this problem using any of the strategies above:

How we would represent this with repeated addition:

Or as an array:

Examples of multiplication word problems in the elementary setting

Below are examples of what can be expected at each grade level from grades 3 to 5. Through our tutoring program at Third Space Learning, our tutees will become familiar with word problems throughout their learning. They will encounter word problems on a regular basis with each lesson personalized to develop the learning our tutees need. 

The word problems will increase their confidence, familiarity with vocabulary and mathematical understanding whether using our materials in tutoring sessions, in the classroom or in small intervention groups.

Multiplication word problems for 3rd grade

3rd grade is the first year that multiplication is formally introduced.  When solving word problems for 3rd grade, students will first use concrete materials to discover how to use repeated addition and arrays to solve word problems that have a context to them. They should be encouraged and aided in representing the word problem visually as well as developing their mental methods to solve such problems.

By the end of 3rd grade, students should be using their full knowledge and recall of times tables to 10 x 10 to help with multiplication of 2-digit and 3-digit numbers by a 1 digit number. Word problems may also involve multi step problems and there will be exchanges taking place too.

Mia is picking flowers. A flower has 5 petals on it. How many petals will be on 6 flowers?

Answer: 30 petals

How we can solve this using repeated addition:

How we can solve this using arrays:

How we can show this visually:

Sam is at the store and sees a bouncy ball is 10¢.

Sam wants to buy 8 balls. How much will it cost?

Answer: 80 ¢

Hansi has 4 packets of stickers with 5 stickers in each packet.

Robert has 3 packets of stickers with 10 stickers in each packet.

Who has the most stickers? Why?

Answer: Robert because Hansi has 20 stickers (4 x 5) but Robert has 30 stickers (3 x 10).

Daisy and Ollie are sharing some marbles. They have 5 boxes of marbles, and once they have shared them they have twenty marbles each. How many marbles are in each box?

Answer: 8 marbles.

If they have 20 marbles each then in total there are 40 marbles (20 x 2 = 40). If there are 5 boxes of marbles then there are 8 marbles in each box as 40 divided by 5 is 8. Some may also know the inverse here in that 5 x 8 = 40.

It is Christmas break and a family of 4 are going to the cinema! Each ticket costs $8. How much would it cost for the family to go to the cinema?

Answer: $32.

As 4 multiplied by 8 equals 32. We can solve this mentally and by knowing the times table fact 4 x 8 = 32 or 8 x 4 = 32.

We could also show this in bar model method:

Multiplication word problems for 4th grade

In 4th grade, students should be using their full knowledge and recall of times tables to 12 x 12 as children begin to multiply 4-digit numbers by 1-digit numbers and 2-digit numbers. Word problems may also involve multi-step problems and there will be exchanges taking place too.

Jack and Ella are practicing their area models and have both attempted the same question.

The question is: What is 1,235 x 7?

Jack says the answer is 7,259 but Ella says the answer is 8,645.

Who is correct and what mistake has one child made?

Answer: Ella is correct, the answer is 8,645 and the mistake made is that Jack forgot to add the two zeros when multiplying 7 x 200.

If a shop makes $2,782 in a day, how much will it make in one week?

Answer: $19,474

Note: For this question we must know that there are 7 days in one week as we then have to multiply 2,782 by 7.

A group of friends go for lunch at the local restaurant. 6 of them decide to buy chicken nuggets and fries which costs $7 each and the other 4 friends decide to buy pizza and salad for $8 each. What do friends spend more on, chicken nuggets or pizza?

Answer: Chicken nuggets

Chicken nuggets = 7 x 6 totals $42 whereas pizza = 8 x 4 totals $32. Therefore, they spend more on chicken nuggets.

A high school football team has a mean (average) attendance of 1,298 people each game. There are 9 games in a season, what is the total attendance for the whole season?

Answer: A total attendance of 11,682

Multiplication word problems for 5th grade

With the end of the elementary school journey in sight, word problems for 5th graders are expected to be able to use mental methods to solve the more simple multiplication word problems, such as multiplying by a multiple of 10. The standard algorithm is formally introduced in 5th grade. They will be able to multiply decimals as well as 4-digit numbers multiplied by 2-digit numbers. They will also be versed with two-step problems and using more than one operation in a question.

There are 67 candies in a bag. If the grocery store orders 8,657 bags, how many candies would there be altogether?

Answer: 580,019 candies 

Bobby chooses a number between 300 and 320.

She divides it by 6 then subtracts 17 from it.

She then divides that number by 4.

Her answer is 8.5.

What number did she start with?

Answer: 306

Here it is essential to work backwards from the answer 8.5 and do the inverse at each step. So we multiply instead of divide and we add instead of subtract.

Miss Dobson is making cakes to sell at the school fair.

Strawberries cost $5.60 per lb.

Eggs cost $1.70 per box.

Icing costs 89¢ per lb.

Cake cases are $3.25 for 10.

She uses 8 lbs of strawberries, 10 boxes of eggs, 11 lbs of icing and 40 cake cases to make 40 cakes.

Calculate the total cost for 40 cakes.

Answer: $84.59

The strawberries are: $5.60 x 8 = $44.80

The eggs are: $1.70 x 10 = $17.00

Icing costs are $0.89 x 11 = $9.79

Cake cases are $3.25 x 4 = $13.00

There are 26 white buttons in a pack and 13 blue buttons in a pack.

The school buys 1,460 packs of white buttons and 730 packs of blue buttons.

Is it true that the school would have four times as many white buttons as blue buttons? Show your working in your answer.

Answer: It is true because there are 37,960 white buttons and there are 9,490 blue buttons.

If we then multiply 9,490 by 4 we get 37,960. Or alternatively we could divide 37,960 by 4 and get 9,490.

More word problems resources

Third Space Learning offers a big collection of practice word problems covering a wide range of topics for all elementary grade levels. Take a look at our addition and subtraction word problems , time word problems , ratio word problems and percentage word problems .

Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?

The content in this article was originally written by former Deputy Headteacher Steven Eastes and has since been revised and adapted for US schools by elementary math teacher Christi Kulesza.

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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 – Definition, Examples, Practice Problems, FAQs

January 5, 2024

16 minutes read

Welcome to Brighterly , the go-to destination for all things math for children! In this article, we delve into the fascinating world of multiplication. Whether you’re just starting your mathematical journey or looking to strengthen your multiplication skills, this comprehensive guide will provide you with a solid foundation in multiplication, along with helpful tips, examples, and practice problems.

At Brighterly, we understand that multiplication plays a crucial role in mathematical proficiency. It’s not just about memorizing multiplication tables; it’s about grasping the concepts, applying properties, and developing problem-solving skills. With our engaging approach and creative learning techniques, we make multiplication an exciting adventure for young learners.

Multiplication Definition in Math

In mathematics, multiplication is the process of adding a number to itself a certain number of times. It is represented by the multiplication symbol (*), which is also known as the “times” symbol. For example, multiplying 3 by 4 can be expressed as 3 * 4, and the result is 12.

Multiplication Symbol

The multiplication symbol (*), often referred to as the “times” symbol, is used to indicate multiplication in mathematical expressions. It signifies the operation of combining groups of numbers or quantities. The symbol helps distinguish multiplication from addition, subtraction, and division.

Multiplication Formula

The formula for multiplication is straightforward. To multiply two numbers, simply multiply the first number (called the multiplicand) by the second number (called the multiplier). The result is known as the product. The multiplication formula can be represented as:

Product = Multiplicand * Multiplier

For example, if we multiply 5 by 2, the formula becomes:

Product = 5 * 2 = 10

Properties of Multiplication

Multiplication exhibits several properties that can help simplify calculations and solve mathematical problems efficiently. Let’s explore some of the key properties of multiplication:

Closure Property of Multiplication

The closure property of multiplication states that when two numbers are multiplied together, the result is always a number within the same set of numbers. In other words, multiplying two whole numbers will always yield a whole number.

For example, multiplying 2 by 3 gives us 6, which is also a whole number.

Commutative Property of Multiplication

The commutative property of multiplication states that changing the order of the multiplicands does not affect the result. In simple terms, you can multiply numbers in any order, and the product will remain the same.

For example, multiplying 3 by 4 or 4 by 3 both result in 12.

Associative Property of Multiplication

The associative property of multiplication states that changing the grouping of the multiplicands does not change the final result. In other words, you can group numbers differently while multiplying, and the product will remain unchanged.

For example, multiplying (2 by 3) and then multiplying the result by 4 gives us the same product as multiplying 2 by (3 and 4).

Distributive Property of Multiplication

The distributive property of multiplication allows us to distribute a factor to each term within a sum or difference before multiplying. It is particularly useful when multiplying a number by a sum or difference.

For example, if we have 3 * (2 + 4), we can distribute the 3 to each term inside the parentheses and simplify the multiplication: 3 * 2 + 3 * 4, which gives us 6 + 12 and ultimately 18.

Identity Property of Multiplication

The identity property of multiplication states that multiplying any number by 1 will result in the original number. In other words, 1 acts as the identity element for multiplication.

For example, multiplying 5 by 1 gives us 5.

Zero Property of Multiplication

The zero property of multiplication states that any number multiplied by 0 will always result in 0. In other words, the product of 0 and any number is 0.

For example, multiplying 0 by 7 or 0 by 9 both result in 0.

Multiplying Integers

Multiplying integers involves multiplying positive and negative whole numbers. The rules for multiplying integers are as follows:

• The product of two positive integers is always positive.
• The product of two negative integers is always positive.
• The product of a positive and negative integer is always a negative number.

For example, multiplying 4 by 3 gives us 12 (positive * positive = positive). Multiplying -4 by -3 also gives us 12 (negative * negative = positive). However, multiplying 4 by -3 results in -12 (positive * negative = negative).

Multiplying Fractions

When multiplying fractions, you multiply the numerators together and the denominators together. The resulting product is the simplified fraction, if possible.

For example, if we multiply 1/2 by 3/4, we multiply the numerators (1 * 3) to get 3, and we multiply the denominators (2 * 4) to get 8. Thus, the product is 3/8.

Multiplying Decimals

To multiply decimals, ignore the decimal point and multiply the numbers as if they were whole numbers. The final decimal point in the product should be placed by counting the total number of decimal places in the multiplicands.

For example, if we multiply 1.5 by 2.7, we ignore the decimal points and multiply 15 by 27, which gives us 405. Since there is one decimal place in the multiplicands, the product will have one decimal place as well. Therefore, the product is 4.05.

Multiplying Numbers with Powers

When multiplying numbers with powers (exponents), you can add the exponents if the bases are the same.

For example, if we multiply 2^3 by 2^4, we add the exponents: 3 + 4 = 7. Therefore, the product is 2^7.

Tips to Master Multiplication

Mastering multiplication requires practice and a solid understanding of the concepts involved. Here are some tips to help children improve their multiplication skills:

• Practice regularly: Set aside dedicated time for multiplication practice. The more you practice, the better you’ll become.
• Memorize multiplication facts: Focus on memorizing the multiplication tables to quickly recall products.
• Use visual aids: Utilize multiplication charts, number lines, or manipulatives to visualize multiplication concepts.
• Apply real-world examples: Relate multiplication to everyday situations to make it more relatable and practical.
• Play interactive games: Engage in multiplication games and activities to make learning fun and interactive.

Multiplication Signs

Multiplication can be represented by various signs or notations in different contexts. Apart from the traditional multiplication symbol (*), multiplication can also be indicated using the letter “x” or a centered dot (·).

For example, instead of writing 3 * 4, you can write 3 x 4 or 3 · 4.

Multiplication Table

A multiplication table is a handy reference that displays the products of multiplying numbers from 1 to 10 (or beyond). It provides a quick way to find the products of different numbers.

Here is a simplified example of a multiplication table:

Multiplication Tricks

There are several tricks and shortcuts that can make multiplication easier and faster. Here are a few:

• Doubling and Halving: To multiply a number by 2, double the number. To multiply a number by 4, double it twice. To multiply by 5, multiply by 10 and then halve the result.
• Nines Trick: To multiply a number by 9, multiply it by 10 and then subtract the original number. For example, to multiply 9 by 7, multiply 10 by 7 and subtract 7, resulting in 63.
• Finger Multiplication: Use your fingers to multiply by 9 or 6. For example, to multiply 9 by 7, lower the 7th finger (counting from the left), and you have 6 fingers on the left and 3 fingers on the right, resulting in 63.

How to Solve Multiplication Problems?

Solving multiplication problems involves understanding the problem, identifying the given numbers, and applying the appropriate multiplication operation. Here is a general approach to solving multiplication problems:

• Read the problem carefully: Understand what the problem is asking and identify the relevant information.
• Identify the numbers: Identify the numbers that need to be multiplied.
• Choose the appropriate operation: Determine if multiplication is required based on the problem context.
• Perform the multiplication: Multiply the numbers together using the multiplication formula or properties.
• Check the solution: Verify the result and ensure it makes sense within the problem context.

By following these steps, you can effectively solve multiplication problems and arrive at the correct answers.

Multiplication Without Regrouping

When multiplying multi-digit numbers without regrouping, also known as carrying, follow these steps:

• Write the numbers vertically: Place one number above the other, aligning the corresponding digits.
• Multiply the ones place: Multiply the digits in the ones place and write the product below.
• Multiply the tens place: Multiply the digits in the tens place and write the product in the tens place below.
• Add the partial products: Add the products obtained in steps 2 and 3 to find the final product.

Multiplication With Regrouping

When multiplying multi-digit numbers with regrouping, also known as carrying, follow these steps:

If the partial product in any place value exceeds 9, carry over the excess to the next place value.

Multiplication Using Number Line

Multiplication can also be visualized and solved using a number line. Here’s how it works:

• Draw a number line: Draw a horizontal line and mark the starting point.
• Mark the first number: Locate the first number on the number line by counting from the starting point.
• Repeated jumps: Make repeated jumps of the size indicated by the second number on the number line.
• Final position: Mark the final position reached after the required number of jumps.
• Read the product: Determine the value represented by the final position on the number line.

Word Problems on Multiplication

Word problems involving multiplication require translating the given information into a multiplication equation and solving for the unknown. Here’s an example:

Problem: Sara has 5 bags, and each bag contains 8 apples. How many apples does she have in total?

Solution: We know that Sara has 5 bags, and each bag contains 8 apples. To find the total number of apples, we need to multiply the number of bags by the number of apples per bag.

Number of bags = 5 Number of apples per bag = 8

Total number of apples = Number of bags * Number of apples per bag Total number of apples = 5 * 8 = 40

Sara has a total of 40 apples.

Solved Examples On Multiplication

Let’s look at a few solved examples to further illustrate multiplication:

Example 1: Multiply 6 by 3.

Solution: To multiply 6 by 3, we use the multiplication formula:

Product = Multiplicand * Multiplier Product = 6 * 3 = 18

The product of 6 and 3 is 18.

Example 2: Multiply 0.5 by 0.2.

Solution: When multiplying decimals, we ignore the decimal points and multiply the numbers as if they were whole numbers. Count the total number of decimal places in the multiplicands to determine the decimal places in the product.

0.5 * 0.2 = 5 * 2 = 10

Since there is one decimal place in the multiplicands, the product will have one decimal place. Therefore, the product is 1.0.

Example 3: Multiply -2 by -4.

Solution: When multiplying negative numbers, the product is always positive.

(-2) * (-4) = 2 * 4 = 8

The product of -2 and -4 is 8.

Practice Problems On Multiplication

Now it’s time to put your multiplication skills to the test with some practice problems. Try solving the following multiplication problems:

• Multiply 9 by 6.
• Multiply 2.5 by 4.
• Multiply -7 by 3.
• Multiply 1/3 by 5/6.
• Multiply 0.75 by 0.8.

Take your time, show your work, and check your answers. Practice is the key to mastering multiplication!

Multiplication is a fundamental operation in mathematics that involves combining numbers to find their product. It has various properties and can be applied to integers, fractions, decimals, and numbers with powers. By understanding the properties, learning multiplication tricks, and practicing regularly, children can develop strong multiplication skills.

In this article, we explored the definition of multiplication, multiplication properties, multiplication of integers, fractions, decimals, and numbers with powers. We discussed tips to master multiplication, multiplication signs, the multiplication table, and tricks for faster multiplication. Additionally, we covered solving multiplication problems, multiplication with and without regrouping, multiplication using a number line, word problems, solved examples, and practice problems.

Frequently Asked Questions On Multiplication

What is multiplication in mathematics.

Multiplication is a fundamental mathematical operation that involves combining two or more numbers to find their product. It represents the process of repeated addition or scaling quantities. For example, multiplying 3 by 4 means adding three 4 times or scaling a quantity by a factor of 3. Multiplication is denoted by the symbol “x” or “*”, and the numbers being multiplied are called the multiplicand and the multiplier.

What are the properties of multiplication?

Multiplication has several important properties:

• Commutative Property: The order of the numbers being multiplied doesn’t affect the result. For example, 3 * 4 is the same as 4 * 3.
• Associative Property: The grouping of numbers being multiplied doesn’t affect the result. For example, (2 * 3) * 4 is the same as 2 * (3 * 4).
• Distributive Property: Multiplication can be distributed over addition or subtraction. For example, a * (b + c) is the same as (a * b) + (a * c).
• Identity Property: Multiplying a number by 1 leaves the number unchanged. For example, 5 * 1 is equal to 5.
• Zero Property: Multiplying a number by 0 always results in 0. For example, 6 * 0 is equal to 0.

These properties provide a framework for manipulating and simplifying multiplication expressions.

How can I master multiplication?

To become proficient in multiplication, consider the following strategies:

• Practice Regularly: Regular practice is key to improving multiplication skills. Dedicate time each day to practice multiplication facts and solve multiplication problems.
• Memorize Multiplication Facts: Memorizing multiplication facts, such as times tables, can greatly enhance speed and efficiency in solving multiplication problems.
• Use Visual Aids: Utilize visual aids, such as arrays, diagrams, or number lines, to visualize and understand the concept of multiplication.
• Apply Real-World Examples: Connect multiplication to real-life situations. For instance, relate multiplication to equal groups, sharing items, or scaling quantities in everyday scenarios.
• Play Interactive Games: Engage in interactive multiplication games and activities that make learning multiplication fun and engaging. Online platforms and educational apps offer a variety of interactive multiplication games suitable for different age levels.

By incorporating these strategies into your learning routine, you can develop a strong foundation in multiplication.

How can I solve multiplication problems?

To solve multiplication problems effectively, follow these steps:

• Understand the Problem: Read the problem carefully and identify the given information, the numbers to be multiplied, and what the problem is asking for.
• Identify the Numbers: Determine the multiplicand and the multiplier—the numbers being multiplied.
• Choose the Appropriate Operation: Recognize if multiplication is required based on the problem context. Sometimes, problems may involve other operations like addition or subtraction.
• Perform the Multiplication: Multiply the numbers together using the multiplication formula or properties discussed earlier. You can use long multiplication, mental math strategies, or alternative methods depending on the numbers involved and your preferred approach.
• Check the Solution: Verify the result by checking if it makes sense within the problem context. Re-read the problem and ensure the solution answers the question posed.
• Mathematics Enhancement Programme – Multiplication
• Multiplication Properties – Math Warehouse
• Multiplication – Wikipedia

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The number 27 is spelled as “twenty-seven”. It is one more than twenty-six. For instance, if you have twenty-seven books, you start with twenty-six books and add one more. Tens Ones 2 7 How to Write 27 in Words? To write the number 27 in words, we identify its place values. The number 27 has […]

Divisible – Definition with Examples

Welcome to Brighterly’s math blog, where we make learning math a delightful experience for children! In this article, we will explore the concept of divisibility and provide you with clear definitions and practical examples to help you understand this fundamental mathematical concept. Divisibility is a term that frequently appears in the world of mathematics, especially […]

91 in Words

The number 91 is written as “ninety-one”. It is one more than ninety. For example, if you have ninety-one stamps, you start with ninety stamps and then find one more. Tens Ones 9 1 How to Write 91 in Words? Writing 91 in words is straightforward. It consists of a ‘9’ in the tens place […]

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Multiplication word problems for grade 3

Simple multiplication.

These worksheets contain simple multiplication word problems. Students derive a multiplication equation from the word problem, solve the equation by mental multiplication and express the answer in appropriate units. Students should understand the meaning of multiplication before attempting these worksheets.

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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.

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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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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

Take a look at some more of our worksheets similar to these.

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.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

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

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Word Problems Involving Multiplication

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Multiplication

Multiplication is a fundamental mathematical operation, representing the process of adding a number to itself a certain number of times. It’s not just a building block for math education but a critical tool in daily life and advanced science. Multiplication stands as one of the primary mathematical operations, sharing this core status with addition, subtraction , and division .This guide unveils its intricacies, applications, and tips for mastery, making multiplication accessible to learners at all levels

What is Multiplication?

Multiplication stands as one of the primary mathematical operations, sharing this core status with addition, subtraction, and division. Essentially, to multiply means to add together equal-sized groups repeatedly. This operation serves as a fundamental building block in mathematics, facilitating the calculation of numerous equal parts or quantities in a streamlined manner.

Multiplication Table Chart

Multiplication Symbol (×)

The multiplication symbol, denoted as “×,” serves as the mathematical operator indicating multiplication between two numbers or expressions. It is a cross-shaped sign that signifies the operation of taking one number and adding it to itself a certain number of times, as determined by the second number. For example, in the expression “4 × 3,” the “×” symbol instructs us to multiply 4 by 3, resulting in 12. This symbol is universally recognized in mathematics to represent the concept of multiplication.

Multiplication Formula

The formula for multiplication is straightforward, involving two numbers or variables that are multiplied together to find their product. Represented symbolically, it is:

Product = a × b

Product = Multiplicand ×  Multiplier

• a and b are the multiplicands, or the numbers being multiplied.
• The symbol × denotes the multiplication operation.
• The result of multiplying a by b is called the product.

8(multiplicand) × 5 (multiplier) = 40 (product)

How to Solve Multiplication Problems?

Basic multiplication:.

• Understand the Terms : Identify the numbers (factors) you need to multiply.
• Apply the Multiplication Formula : Use the formula a × b = product , where a and b are your factors.
• Calculate : Multiply the numbers to find the product.

Long Multiplication (For Larger Numbers):

• Write Down the Numbers : Place the larger number above the smaller number, aligning them by their rightmost digits.
• Multiply Each Digit of the Bottom Number by the Top Number : Start from the rightmost digit of the bottom number. Multiply it by each digit of the top number, carrying over any values as necessary.
• Add the Results : If you’re multiplying a number by a multi-digit number, write down each result under the numbers being multiplied, shifting one place to the left each time you move to the next digit of the bottom number. Then, add these results together to find the total product.

Multiplication Without Regrouping

Identify the Numbers : Choose the two numbers you want to multiply. This method is easiest with single-digit numbers, but it can also apply to specific cases of larger numbers.

Multiply Each Pair of Digits : If you’re dealing with single-digit numbers, simply multiply them together. For example, 3 × 4 = 12 . If your numbers are larger but carefully chosen (or the circumstances work out such that) no single multiplication step results in a number greater than 9, you can apply the same principle.

Write the Product : Since there’s no need to regroup (or carry), you can directly write down the answer obtained from your multiplication.

Example 1: Simple Multiplication Without Regrouping

• Problem : Multiply 4×2 4 × 2 .
• Solution : The product is 8 8 . Since both numbers are single-digit and their product is less than 10, regrouping is not necessary.

Example 2: Larger Numbers Without Regrouping

• Problem : Multiply 123 by 5.
• Multiply the ones place: 5 × 3 = 15 , write down 5, carry over 1 (note: in this case, because it’s the last digit, you’d typically write down the entire 15).
• Multiply the tens place: 5 × 2 = 10 , write down 0, carry over 1.
• Multiply the hundreds place: 5 × 1 = 5 , then add the carried over 1 for a total of 6, write down 615 as the product.

Multiplication With Regrouping

• Write the Numbers : Place the numbers you are multiplying vertically, aligning them by their right-hand digits.
• Multiply the Units First : Start with the rightmost digit (units) of the bottom number. Multiply it by the top number. If the product is 10 or more, write down the unit digit of the product and carry over the tens digit to the next column on the left.
• Move to the Next Digit : Move to the left to the next digit of the bottom number. Multiply it by the top number, add any carried number, and write down the result. If the product plus the carry is 10 or more, write down the unit and carry the tens digit again.
• Repeat for All Digits : Continue this process for each digit of the bottom number, moving from right to left, until all digits have been multiplied.
• Add the Products : If you’re multiplying a number by a multi-digit number, you’ll end up with multiples rows of products. Add these together to get the final answer.

Example: Multiplying 23 by 4

• Step 1 : Write 23 above 4.
• Step 2 : Multiply the rightmost digit of 23 (3) by 4. 3 × 4 = 12 . Write down 2 and carry over 1.
• Step 3 : Multiply the next digit of 23 (2) by 4. 2 × 4 = 8 , then add the carried over 1. 8 + 1 = 9 . Write down 9.
• Step 4 : Your final answer is 92

Multiplication Using Number Line

Multiplication using a number line is a visual method that helps illustrate the concept of multiplication as repeated addition . This technique is especially useful for teaching young learners or those new to the concept of multiplication. Here’s how to perform multiplication using a number line:

Steps for Multiplication Using a Number Line:

• Draw a Number Line : Begin by drawing a horizontal line and mark evenly spaced intervals or “hops” on it. Label the starting point as zero.
• Identify the Multiplier and Multiplicand : Determine which number will be repeated (multiplicand) and how many times it will be repeated (multiplier). For example, if you are multiplying 3 by 4, you will make 4 hops of 3 units each.

Make Hops on the Number Line : Start at zero. For each multiplication operation, make hops equal to the value of the multiplicand. Each hop should span a number of spaces on the number line equal to the multiplicand.

• Hop 3 spaces to the right from 0, landing on 3.
• Make a second hop of 3 spaces, landing on 6.
• Hop another 3 spaces, landing on 9.
• Make a final hop of 3 spaces, landing on 12.
• Mark Each Stop : As you make each hop, mark the stopping point on the number line . This point represents the cumulative total of the multiplication so far.
• Result : The point at which the final hop ends is the product of the multiplication. In the example of 3 by 4, the final hop ends at 12, so 3×4=12

Checking Multiplication

Multiplication Word Problems

Question : A landscaper plants 8 rows of flowers in a garden. Each row contains 9 flowers. How many flowers are there in total?

Answer : To find the total number of flowers, multiply the number of flowers per row by the number of rows: 8 rows×9 flowers/row=72 flowers Total Flowers : 72

Question : A factory produces 250 car parts each day. How many car parts are produced in 20 days?

Answer : Multiply the number of car parts produced each day by the number of days: 250  parts/day × 20  days = 5000  parts Total Parts Produced : 5000

Question : Each box of tea bags contains 15 tea bags. If a store sells 36 boxes, how many tea bags were sold?

Answer : Multiply the number of tea bags per box by the number of boxes sold: 15  tea bags/box × 36  boxes = 540  tea bags Total Tea Bags Sold : 540

Question : A parking lot has 45 spaces. On a particular day, if 32 cars are parked in each space, how many cars are in the parking lot?

Answer : Multiply the number of spaces by the number of cars per space: 45  spaces × 32  cars/space = 1440  cars Total Cars Parked : 1440

Question : A concert hall has 24 rows of seats. Each row has 42 seats. How many seats are in the concert hall?

Answer : Multiply the number of rows by the number of seats per row: 24  rows × 42  seats/row = 1008  seats Total Seats in Concert Hall : 1008

Question : A school cafeteria serves lunch to 18 classes each day. If each class has 26 students, how many students in total are served lunch?

Answer : Multiply the number of classes by the number of students per class: 18  classes × 26  students/class = 468  students Total Students Served : 468

FAQ’s

What is the multiplicand * multiplier.

The terms multiplicand and multiplier are factors in a multiplication equation. The multiplicand is the number being multiplied, while the multiplier is the quantity by which the multiplicand is multiplied. For instance, in 4 × 3 , 4 is the multiplicand, and 3 is the multiplier, yielding a product of 12.

How Do You Explain Multiplication to a Child?

To explain multiplication to a child, describe it as repeated addition. For example, if you have 3 groups of 4 apples, multiplication tells you the total number of apples. You simply add the number in each group together: 4 + 4 + 4 = 12 apples. This shows that 3 × 4 = 12 .

What Does Multiply Mean for Kids?

For kids, “multiply” means combining equal groups to find out how many items there are altogether. It is like adding the same number several times. For example, if you have 5 groups of 2 cookies, multiplying 5×2 5 × 2 tells you that there are 10 cookies in total.

How to Do Multiplier Math?

Multiplier math involves using one number (the multiplier) to increase another number (the multiplicand) repeatedly. The process is simple: multiply the multiplicand by the multiplier to get the product. For instance, multiplying 6 (multiplicand) by 4 (multiplier) means adding 6 to itself 4 times, resulting in 24.

What is Multiplication for Grade 2?

In Grade 2, multiplication is introduced as a method for quick addition of equal groups. Students learn to interpret multiplication as repeated addition, such as seeing 5×3 5 × 3 as adding three 5s (5+5+5). This foundational concept helps them understand how multiplication facilitates efficient counting and problem-solving.

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Multiplication Word Problems — Examples & Practice - Expii

Multiplication word problems — examples & practice, explanations (3).

Words to Math: Multiplication

In this section, we will learn to translate phrases into a mathematical expression by identifying key words that indicate multiplication .

When talking about multiplication, you will most likely see the terms " times ", " multiplied by ", " product of ", and " by a factor of ".

Let’s take a look at an example.

Sarah went to the grocery store to buy oranges. She realized that each bag of oranges contained 4 oranges.

Image source: By Clker-Free-Vector-Images CC0 , via pixabay.com

She bought 5 bags of oranges. How many oranges did she buy in total?

We know that the term " of " often refers to multiplication, so the operator ‘×’ is required.

The term " total " refers to equality, so the operator ‘=‘ can be used.

Since Sarah bought 5 bags of oranges and each bag contains 4 oranges, we can rewrite this into a mathematical expression.

Total Number of Oranges = 5 Bags × 4 Oranges = 20 Oranges

When talking about equality, you will most likely see the terms " equal to ", " is ", " the same as ", and " amounts to ".

Here are some phrases about multiplication translated into a mathematical expression .

• 4 times 5 equals 20→4⋅5=20
• The product of 11 and 3 amounts to 33→11⋅3=33
• 7 multiplied by a number →7⋅x
• 8 by 9 plank of wood →8⋅9

We are now going to take a look at some of the types of problems you might encounter about multiplication word problems.

Example 1 Translate the following into a mathematical expression:

8 times 7 is 56.

Related Lessons

(video) solving multiplication and division word problems.

by Ruth Erquiaga

Ruth Erquiaga has a very good explanation and strategy on how to identify and approach word problems. Specifically, the video focuses on multiplication and division .

The key word that designates multiplication or division is " each ". " Each " means that the groups being combined or split up need to be equal in size, which is true of multiplication and division, but not necessarily true of addition and subtraction .

Other words like " total ", " area ", " in all ", and " altogether " can designate multiplication or division as long as the context of the problem allows you to work with equal sized groups.

The video covers a general strategy for translating word problems.

• Read the problem entirely
• Find if the total is given. A given total means that the problem will be division or subtraction. No given total means the problem will be addition or multiplication.
• Find if the groups are equal. Equal groups will mean multiplication or division. Unequal groups will mean addition or subtraction.

From steps 2 and 3, you can conclude which operation you need to do!

Word Problems with Multiplication

The key to solving word problems is to translate them into mathematical expressions. This is made easier if you can pick out key phrases that tell you what type of operation the problem is asking for. We'll call these signal words .

Image source: By K Whiteford CC0 via publicdomainpictures.net

Which signal word tells us that we need to use multiplication for this problem?

At this rate

Multiplication Word Problems Dive - Lesson Plan

In this paper, the focus is on teaching students how to solve multiplication word problems by recognizing different problem types and using specific strategies. the paper provides a teacher guide and outlines various tasks and activities for the class..

Know more about Multiplication Word Problems Dive - Lesson Plan

To help your students solve multiplication word problems effectively, you can teach them different problem-solving strategies such as identifying keywords, breaking down the problem, and using visual representations. Encourage them to practice these strategies through hands-on activities and real-world examples.

Some common types of multiplication word problems include equal groups, arrays, and comparison problems. Equal groups involve multiplying the number of items in each group by the number of groups. Arrays involve multiplying the number of rows by the number of columns. Comparison problems involve comparing two quantities using multiplication.

You can assess your students' understanding of solving multiplication word problems through exit slips or short quizzes that require them to solve various word problems independently. You can also observe their participation and engagement during class activities and discussions to gauge their comprehension.

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Example problems

1.  Write a multiplication sentence to each problem and solve.  You can draw pictures to help you.

Word problems with two operations

In the following week, he ate three times on Monday, Tuesday, and Friday, and four times on the rest of the days.  How many meals did he eat during the week?

Now we have the one kind of situation three times, and the other kind of situation four times.  We calculate those separately, and then add.

1.  Fill in the numbers to the number sentences for each problem, and solve.  For the last problems, write the number sentence yourself.  You can write words above the numbers to describe the numbers.  You can also draw pictures to help you!

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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PS PK K 1 2 3 21 Comments

Multiplication problem solving activity

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Looking for a fun way to mix multiplication and problem solving? Try this!

When I told my third grader that it was time for him to a multiplication activity with me, he groaned.

“But Mom, I don’t  like multiplication.”

“Well, let’s just give this activity a try.”

Before long, he was giggling and asking to complete the full activity.

What could possibly make multiplication so much fun?

A monster lab!

This game is in a learning center format.

You will need:

• One picture mat with all 9 of the monsters
• 24 monster lab math problems (cut apart as individual cards)
• 1 recording sheet for each student

To play, my son chose a problem card. He read the problem aloud, and referred to the monster on the picture sheet to figure out the math problem.

In the above example, he saw that Ernie has 5 eyeballs. If Dr. Crazy wants to make 6 Ernies, he needs to do the following math problem to find out how many eyeballs he will need:

6 x 5 = 30 eyeballs

After he completed each problem, he recorded it on his answer sheet. He had to write the number of the card, show his work, and circle the answer.

Some problems require several steps, as you see in the above example.

Encourage your learners to use different methods of problem solving as appropriate. In the above example, my son drew a picture to solve card #5.

He was a little confused with card #17 until I showed him that writing a list could help him solve the problem.

The bundle comes with 24 cards, but students only need to complete 12 cards to finish the activity.

I hope your learners have as much fun with this as my son did!

Get your free Multiplication Monster Lab!

Check this out.

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Reader Interactions

21 comments.

October 22, 2019 at 9:47 am

Hi Anna, I love your Monster Lab Multiplication Activity! 🙂 However, I can’t get it to print in a usable size – The math problem cards are printing as 1″x1″ cards. I tried printing one of my own documents, and it prints correctly, so I don’t think it’s a problem with my printer settings. (?) Thanks, Alison

October 27, 2019 at 7:43 pm

I’m sorry, Alison, I have no idea why that would be! 🙁 No one else has reported this issue. One thing I always recommend is to download and print with the free Adobe Reader: https://get.adobe.com/reader/

Cheryl Hendricks

September 12, 2019 at 1:41 pm

I’m so excited to have come across your website. Among other things I have found, this activity to help my some enjoy practicing math has been great! Thanks you so much for sharing all your ideas and printable!!!

September 17, 2019 at 6:44 pm

You’re welcome, Cheryl!

April 7, 2019 at 6:10 pm

Everything is more fun with cute monster drawings! Thanks for the great multiplication problem solving activity!

Robin Warden

April 6, 2019 at 4:19 pm

This is so great! I love these kinds of activities! I can’t get enough of these kinds of things just like the mystery problem solving ones! Make some more!! Thank you!!

April 27, 2019 at 8:47 am

I’ll see what I can do, Robin! Thanks so much for your feedback!

April 4, 2019 at 8:49 am

I share your site with all my teacher friends! I am a SPED teacher and I love your resources. You’ve made a real difference in how my kiddos feel about learning!

April 27, 2019 at 8:48 am

That is so wonderful to hear, Janet! Thanks for passing on my site!

April 2, 2019 at 10:14 am

Thank you so much! We needed this after my son is sick of drills through multiplication!

April 27, 2019 at 8:50 am

You’re very welcome, Lauren!

Liz Dorrington

April 1, 2019 at 11:42 am

What a cool, fun activity! Simple, yet effective in engaging the kids.

April 1, 2019 at 8:28 am

What a fun activity! The answer to number 7 is not correct though!

April 1, 2019 at 10:04 am

thanks – will check it!

April 1, 2019 at 10:53 am

It is correct! You missed the two exterior eyeballs. There are 6 eyeballs not 4.

April 1, 2019 at 12:59 am

Anna you’re the best!

This is great, it’s so much fun. I’m sure the kids will love it. Thank you.

April 27, 2019 at 8:39 am

You’re welcome, Tracy!

March 31, 2019 at 8:55 pm

It looks so much fun! My little one always wonders why she needs to learn multiplication (because her daily life really doesn’t require her to multiply any numbers), but this is a good example that her math skill can be very useful when she needs to build MONSTERS (which she is in love with)!! Thank you, Anna! =)

I hope she likes this, Hae!

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Multiplication Lesson Plan: Number and Operations

*Click to open and customize your own copy of the Multiplication Lesson Plan .

This lesson accompanies the BrainPOP topic Multiplication , and supports the standard of solving problems and modeling examples that represent multiplication facts. Students demonstrate understanding through a variety of projects.

Step 1: ACTIVATE PRIOR KNOWLEDGE

Display an image with grouped objects, such as the one shown below:

Ask students:

• How can you figure out the total number of balls shown in the image? Can you think of ways besides counting?

Step 2: BUILD KNOWLEDGE

• Read aloud the description on the Multiplication topic page .
• Play the Movie , pausing to check for understanding. 

Step 3: APPLY and ASSESS 

Assign the Multiplication Challenge and Quiz , prompting students to apply essential literacy skills while demonstrating what they learned about this topic.

Step 4: DEEPEN and EXTEND

Students express what they learned about multiplication while practicing essential literacy skills with one or more of the following activities. Differentiate by assigning ones that meet individual student needs.

• Make-a-Movie : Make a movie describing a real-life situation you would need to multiply. In your movie, answer this question: How would you use multiplication to solve the problem?
• Make-a-Map : Imagine you need to feed 3 horses 4 pounds of hay each. Make a concept map representing how you will solve this problem with multiplication. 
• Creative Coding : Code a math problem that uses multiplication. 

More to Explore

Multiplication Blocks : Students apply their knowledge of multiplication to identify factors and products in this game of speed and skill.

Numbers and Operations Unit : Continue to build understanding around mathematical operations by exploring more BrainPOP topics.

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• Pause Point Overview : Video tutorial showing how Pause Points actively engage students  to stop, think, and express ideas.  
• Learning Activities Modifications : Strategies to meet ELL and other instructional and student needs.
• Learning Activities Support : Resources for best practices using BrainPOP.

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