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Multiplication & division word problems
Word problem worksheets: mixed multiplication & division.
Below are six versions of our grade 4 math worksheet with mixed multiplication and division word problems. All numbers are whole numbers with 1 to 4 digits. Division questions may have remainders which need to be interpreted (e.g. "how many left over"). In the last question of each worksheet, students are asked to write an equation with a variable for the unknown quantity. These worksheets are pdf files .
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Multiplication and Division KS2
This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.
One Wasn't Square
Age 7 to 11 challenge level.
Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.
All the Digits
This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
Cycling Squares
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
Can you replace the letters with numbers? Is there only one solution in each case?
Multiplication Square Jigsaw
Can you complete this jigsaw of the multiplication square?
Shape Times Shape
These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
What Do You Need?
Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
How Do You Do It?
This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.
Table Patterns Go Wild!
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
Journeys in Numberland
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
Ordering Cards
Age 5 to 11 challenge level.
This problem is designed to help children to learn, and to use, the two and three times tables.
Let Us Divide!
Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
Sweets in a Box
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
Round and Round the Circle
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.
Highest and Lowest
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Zios and Zepts
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
Abundant Numbers
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
Find at least one way to put in some operation signs (+ - x ÷) to make these digits come to 100.
Flashing Lights
Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?
The Moons of Vuvv
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Mystery Matrix
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Four Goodness Sake
Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
Multiplication Squares
Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.
Factor Lines
Age 7 to 14 challenge level.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Two Primes Make One Square
Can you make square numbers by adding two prime numbers together?
Cubes Within Cubes
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
Which Is Quicker?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
A Square of Numbers
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Odd Squares
Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?
Up and Down Staircases
One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?
Carrying Cards
These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?
An Easy Way to Multiply by 10?
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?
Multiples Grid
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Factors and Multiples Game
Age 7 to 16 challenge level.
This game can replace standard practice exercises on finding factors and multiples.
Music to My Ears
Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?
What's in the Box?
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
Factor-multiple Chains
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
Picture a Pyramid ...
Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?
The Remainders Game
Play this game and see if you can figure out the computer's chosen number.
Which Symbol?
Choose a symbol to put into the number sentence.
Times Tables Shifts
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Counting Cogs
Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
Light the Lights Again
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
Follow the Numbers
What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.
Curious Number
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
Factor Track
Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.
So It's Times!
How will you decide which way of flipping over and/or turning the grid will give you the highest total?
Square Subtraction
Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?
This Pied Piper of Hamelin
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
Multiply Multiples 1
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Multiply Multiples 2
Can you work out some different ways to balance this equation?
Multiply Multiples 3
Have a go at balancing this equation. Can you find different ways of doing it?
Division Rules
This challenge encourages you to explore dividing a three-digit number by a single-digit number.
Always, Sometimes or Never? Number
Are these statements always true, sometimes true or never true?
Satisfying Four Statements
Can you find any two-digit numbers that satisfy all of these statements?
Picture Your Method
Can you match these calculation methods to their visual representations?
Compare the Calculations
Can you put these four calculations into order of difficulty? How did you decide?
Dicey Array
Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?
4 by 4 Mathdokus
Can you use the clues to complete these 4 by 4 Mathematical Sudokus?
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This worksheets combine basic multiplication and division word problems. The division problems do not include remainders. These worksheets require the students to differentiate between the phrasing of a story problem that requires multiplication versus one that requires division to reach the answer.
Mixed Multiplication and Division Word Problems 1
Mixed Multiplication and Division Word Problems 2
Practicing the operations seperately is a good start for each operation, but an important word problem skill is also figuring out which math operation is needed to solve a specific question. The worksheets in this section combine both multiplication word problems and division word problems on the same worksheet, so students not only need to solve the problem but they need to figure out how to do it.
By moving into these worksheets quickly, it avoids the crutch where students learn that they always need to add or always need to subtract the two values in a problem to get the answer. This forces students to really understand the intent of the problem, not just scan the text looking for numbers.
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- Mathematics /
Multiplication and Division Word Problems
- Updated on
- Nov 24, 2022
Multiplication and Division are a part of the primary school Mathematics curriculum. These are universal mathematical operations that lay down the foundation for the Quantitative Aptitude of an individual. They are the fundamentals of nearly all mathematical concepts, ingrained into basic Arithmetic , Geometry , Algebra , and Calculus. Thus it is essential for all the students to ace the Multiplication and Division word problems. Let’s understand more about multiplication and division word problems in this blog!
This Blog Includes:
What are multiplication and division word problems, multiplication word problems, division word problems.
- Practice Problems
Multiplication and Division word problems are comprehensive mathematical questions designed to help students learn these skills by giving them real-life scenarios. These word problems help young children to relate to the problems on a personal level, activating their cognition in a better way. However, some of them may face a slight difficulty in understanding these questions. So, let’s try and understand how to progress with such questions.
Try solving these word problems using the BODMAS concept. To know more about it, read our blog on BODMAS questions !
Multiplication word problems generally include keywords like calculating the “total” number of objects, goods or production. Here are some examples of multiplication word problems:
Q1: There are 4 rows of seats in a class. Each row has 12 benches. How many students can sit in the class?
Ans: In such questions, we take the following steps:
Note the number of benches in one row= 12 No. of rows = 4 Multiply the number with the number of rows = 12×4
Total number of seats available for students= 48
Therefore, 48 students can sit in the class!
Q2: A bottle factory produces 684 bottles a day. How many bottles will the factory produce in 46 days?
Ans: Number of tyres a tyre factory produces in one day = 684 Number of days = 46
Total number of bottles produced = 684 x 46 = 31464
Therefore, the company will produce 31464 bottles in 46 days .
Q3: A carton holds 20 packets of biscuits. Each packet has 12 biscuits. How many biscuits can be packed in 45 cartons?
Number of packets in 1 carton= 20
Number of biscuits in 1 packet= 12
Number of biscuits in 1 carton or 20 packets= 12 × 20= 240
Number of biscuits in 45 cartons= 240 × 45= 10800
Therefore, altogether there are 10,800 biscuits.
Q4: The monthly salary of a man is Rs. 2,500. What is his annual income by salary?
Number of months in a year= 12
Salary of 1 month= Rs 2,500
Annual salary= salary of 12 months= 2,500 × 12= Rs. 30,000
Therefore, annual income = Rs 30,000
Division word problems on the other hand, generally are the harder ones among Multiplication and Division word problems. They have questions that deal with segregating/putting/sorting objects into different sections. Here are some examples to help you understand better:
Q1: There are 140 peanuts in a bowl. A worker has to put them equally in 4 packets. How many peanuts will be there in one packet? Ans:
For division word problems, we always start with identifying the dividend and the divisor.
The total number of peanuts will be taken as a dividend. This is because we have to sort them into smaller groups i.e. divide the total number of peanuts
The number of packets will be the divisor because we have to divide the peanuts in the number of packets we have.
Total number of peanuts, i.e. dividend= 140 No. of packets, i.e. divisor = 4 No. of packets = 140 / 4 After division, the quotient comes out to be 35.
Therefore, the total number of peanuts in a packet will be 35.
Q2: A school has 2412 students in total. They put only 36 students in one class. How many classes are there in total?
Ans: For this question also, we will first identify the dividend and the divisor.
For beginner division questions, dividend can be identified by scanning the question for the largest number. Here, the total number of students is the largest number. Additionally, putting students into classes requires dividing the total number of students. Hence, the total number of students will be the dividend, i.e. 2412
The number of students to be put in one class will be the divisor in this question as it is the number of students that are to be put in a class. So, we have to make groups of 36 students from 2412 students. Then, we perform basic division operation
After performing division, we get the quotient as 67. The remainder is 0. Therefore, we will make 67 classes to accommodate all the students in the school. If the remainder was not zero, we would have to make one more class to accommodate the extra students.
Hence, the total number of classes will be 67.
Q3. Rs. 5,500 are distributed equally among 25 men. How much money will each person get?
Money received by 35 men= Rs 5,500
So, money received by 1 man= Rs 5500 ÷ 25= Rs. 220
Hence, each man will get Rs. 220.
Q4. How many hours are there in 1500 minutes?
Number of minutes in 1 hr. = 60 minutes
This means that 60 minutes= 1 hour
By Unitary Method,
1 minute= 1/60 hour
Hence, 1500 minutes= 1 ÷ 60 × 1500
1500 ÷ 60= 25 hours
So there are 25 hours in 1500 minutes.
Practice Problems
The illustrations must have helped you understand how to solve multiplication and division word problems. Here are some questions based on the same concept for you to practice. The questions are mixed, so that you also work on identifying whether a question requires you to multiply or divide.
Q1: Alex has 150 tickets for a concert. He has to put them in 10 boxes. How many tickets will be there in a single box?
Q2: There are 10 candies in a packet. A shopkeeper buys 124 packets of these candies. How many candies does he have in total?
Q3: There are 5240 fish in a pond. The number of fish doubles in a month. How many fish will be there in the pond after two months?
Q4: A worker has 4500 loose sheets. He has to make notebooks with 120 pages. How many notebooks can he make?
Q5: It takes 15 minutes to make a card. A worker works for 6 hours in a day. How many cards will he be able to make?
Q6: A student is collecting leaves for a science experiment. He collects 6 new types of leaves in a day. How many leaves will he have in a week?
Q7: A shopkeeper earns 10$ on making a sale. If he makes 123 sales, how much money will he be able to earn?
Q8: Ron is taking his students out on a school trip. There are 2420 students in the school. A bus can only seat 45 students. How many buses will he need to take all the students on a trip?
Q9: A company makes 12 bulbs in a day. They work for 6 days a week. How many bulbs will they be able to make at the end of 8 weeks?
Q10: Samyak makes pen boxes in his workshop. If he works for 3 hours, he is able to make 1 box. He works for 8 hours a day. How many boxes will he be able to make in 12 days?
Multiplication and Division word problems are comprehensive mathematical questions designed to help students learn these skills by giving them real-life scenarios.
Number of months in a year= 12 Salary of 1 month= Rs 2,500 Annual salary= salary of 12 months= 2,500 × 12= Rs. 30,000 Therefore, annual income = Rs 30,000
Money received by 35 men= Rs 5,500 So, money received by 1 man= Rs 5500 ÷ 25= Rs. 220 Hence, each man will get Rs. 220.
So, by the end of this blog, we have given you all that was required to know about multiplication and division word problems. Hope you had no difficulty in grasping the concepts. Keep on practicing and you’ll be able to progress through the topic in no time. To help you with such topics, we have many informative blogs waiting for you. For more entertaining and informative content, follow Leverage Edu on Facebook , Instagram , and LinkedIn .
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Year 4 - Week 4 - Lesson 1 - Multiplying and dividing problem solving
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Multiplication and Division Word Problems
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
29 April 2016
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This Year 4 division and multiplication worksheet helps reinforce numeracy skills to your students by giving real-life situations.
Grade 4 word problem worksheets with mixed multiplication and division questions. Includes writing variables in equations to represent unknowns.
Greater Depth Find and correct the mistake in the word problem by multiplying and dividing by 9 up to 12 x 9. No pictorial support. Questions 2, 5 and 8 (
Challenge Level. This problem is designed to help children to learn, and to use, the two and three times tables.
Mixed multiplication and division word problems in ready to print PDFs. No signup or login! Great applied math practice for fourth grade or fifth grade
Don't forget to review it on our website. classroomsecrets.com. Reasoning and Problem Solving – Year 4 – Teaching Information. © Classroom Secrets Limited 2018
Multiplication and Division Word Problems, Solved Examples, ... Multiply the number with the number of rows = 12×4 ... Number of months in a year= 12.
This is "Year 4 - Week 4 - Lesson 1 - Multiplying and dividing problem solving" by White Rose Maths on Vimeo, the home for high quality
A variety of multiplication and division word problems used for a year 5 class. Two versions for differentiation.
Download free worksheets for practicing ' Grade 4 Math Multiplication and Division word problems(4.OA.2) ' at ClassK12.