Division word problems are important in building proficiency in division. Division is one of the bedrocks of mathematics alongside addition, subtraction and multiplication. Therefore, it is vital that pupils have a deep understanding of division, its function within arithmetic and word problems, and how to apply both short division and long division with success.
Division itself is the mathematical process of breaking a number up into equal parts and then finding out how many equal parts you can have. It may be that you have a remainder following this division or you may have no remainder and so a whole number as your answer.
All Kinds of Word Problems Division
Download this free pack of division word problems to develop your class’ word problem solving skills
What are division word problems?
Division word problems are an extension of the arithmetic method whereby they are word problems with division at the heart.Pupils will be expected to use the process of division to find a solution to the word problem.
Typically, word problems use a story as a scenario and are based on a real life situation where pupils are expected to interpret what the word problem is asking and then apply their division knowledge to find the answer. Division can also be introduced early through the idea of grouping before advancing to the formal method of short division and long division.
To help you with the division journey, we have put together a collection of division word problems which can be used for children between Year 2 to Year 6 – also aimed at both 3rd grade and 4th grade pupils in America.
Division word problems in the national curriculum.
Division word problems in KS1
The national curriculum states that division and word problems should be encountered from Key Stage 1 and throughout our pupils’ primary school journey. Practical resources such as counters, dienes cubes and base ten can be used to supplement the teaching of division.
In Key Stage 1 the focus is on simple addition and subtraction word problems, however, it is standard practice to introduce the concept of grouping and sharing small quantities and to calculate the answer using concrete objects and pictorial representations. It is at this point that the idea of finding fractions of objects can also be introduced and that whilst multiplication of two numbers can be done in any order (the commutative theory), the division of one number by another cannot.
Division word problems in KS2
As children enter Lower Key Stage 2 they begin to develop their mental and written strategies for division. Pupils will begin to use their multiplication knowledge and times tables to assist in their solving of division problems and how they can use the corresponding division facts and multiplication facts to answer questions.
By the end of Year 4, pupils are expected to recall their multiplication and division facts for multiplication times tables up to 12 x 12. They should also use their knowledge of place value, and known and derived facts to assist with simple division such as dividing by 1 and halving.
Introducing short division
Short division is the next step in Lower Key Stage 2. Pupils practise their fluency of short division, also known as ‘the bus stop method’, in order to answer division word problems that have a whole number answer, and those with a remainder.
Before entering Upper Key Stage 2, pupils encounter division word problems and multi step problems with increasingly harder numbers going from a simple short division problem, such as, ‘If we have 30 pupils in our class and we are divided into groups of 5, how many pupils will be in each group?’ to ‘If there are 56 books in our library and they are shared amongst 7 children, how many books would each child get?’
Introducing long division
As our pupils enter Upper Key Stage 2, long division is introduced. By the end of KS2 pupils should be fluent in both multiplication and division and the written strategies, and be able to apply knowledge in fraction word problems and percentage word problems.
Year 5 pupils work towards being able to divide up to 4 digit numbers by a one digit number using short division and being able to interpret remainders in the correct context – even presenting the remainder as a decimal or fraction. Pupils should also be able to divide mentally and know how to divide by 10, 100 and 1000 and how place value works alongside dividing a number so it is 10, 100 or 1000 times smaller.
Year 6 pupils are expected to consolidate on the above formal methods of short division before being able to divide a four digit number by a two digit number using the formal method of long division and to again be able to understand remainders within this and present them in the correct context.
This also flows into division word problems as children should be able to read a multi step problem and know how to correctly interpret it, apply their divisional knowledge and solve the problem successfully. The concept of multi step problems is built upon at each stage of the national curriculum.
Why are word problems important for childrens’ understanding of division?
Word problems, alongside the use of concrete objects and pictorial representations, are important in helping children understand the complexities and possible abstract nature of division.
Whilst children may understand that when we divide our answer will be smaller, before providing a child with word problem worksheets, just like with exploring arrays to support multiplication word problems, it is important to visually explore how division looks – from grouping and beyond.
Applying maths to real life situations
Word problems are important because they provide a real life context for children to understand division and how we encounter it in real life. By allowing children to see how division is used in everyday situations, children will find it more meaningful and relevant which in turn develops a deeper understanding of the four operations as a whole.
Building problem solving skills
Word problems are also vital to developing problem solving skills. Firstly, they must read and understand the problem before being able to identify the relevant information within the contextual problem and apply their knowledge to find a solution. This naturally builds critical thinking and a child’s ability to reason, which is an important skill for any mathematician.
Developing mathematical language skills
Finally, the importance of moving from simple division word problems to more challenging ones enhances pupils’ vocabulary and language skills. For children to develop an understanding of vocabulary such as divisors, quotient and remainders means they must first understand these key words and apply it to the process of division and be able to communicate clearly what they are aiming to do.
Deepening understanding of the inverse relationship between division and multiplication
Division word problems also solidify the connection between multiplication and division. Understanding these inverse operations and being able to interchange the skills of multiplication and division will help make connections between different mathematical concepts and deepen pupils’ learning.
How to teach division word problem solving in primary school.
Having taught the concept of division to pupils using concrete examples, for example how to group or share counters and cubes, the next step is to advance to division word problems.
As with all word problems, it is important that pupils are able to read the question carefully and interpret it so they know what they are being asked. Do they need to add, subtract, multiply or divide? Do they need to solve a multi step problem and so need to do more than one step? They may decide what operation to do, in this blogs’ case – division, and then choose to represent it pictorially.
Example of a division word problem
There are 40 sweets ready to go in the party bags for Laura’s birthday. They are to be shared between 8 friends. How many sweets will each child get?
How to solve this:
Firstly we need to interpret the question. Laura has invited 8 friends to her party and she has 40 sweets to share equally between her friends. So we know:
- There are 40 sweets in total
- They are to be divided amongst 8 friends in total
- We therefore need to divide the total number of sweets (40) by the number of friends (8). So to solve this problem we could put the total number of sweets (the dividend – 40 ) in the ‘bus stop’ for short division and divide by the total number of friends (the divisor – 8). If we do this, we would get the answer of 5 – the quotient. Each friend would get 5 sweets each as 40 divided by 8 is 5.
- Alternatively, we could use the inverse – multiplication – to solve this problem. We may not know the division fact that 40 divided by 8 = 5 but if we look to the inverse we may know what numeral multiplied by 8 equals 40. If we did our 8 times table we would get the answer of 5 – the correct answer.
How can we show this pictorially?
We could show 8 circles – each circle to represent a child – and place a sweet in each circle until we have placed all 40 sweets. This would mean we have shared the sweets equally between the friends and would result in each child having 5 sweets.
We could represent the division word problem as a bar model. We could split the bar model into 8 sections. There are 40 sweets and so we share them between the 8 sections. We will again see each section gets 5 sweets.
The below visuals show how this would look:
Or:
Word problems are an important aspect of our learning at Third Space Learning’s one-to-one tuition programme. Tutors will work with our tutees to break down the word problems and identify the correct operation needed to solve the word problem.
Examples of division word problems in the primary setting
Below are examples of what can be expected at each year group from Years 2 to 6. Through our tutoring programme 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 personalised to develop the learning our tutees need. The word problems will increase their confidence, familiarity with vocabulary and mathematical understanding.
Division word problems are essential to developing problem solving skills and mathematical reasoning.
Year 2 division word problems
In Year 2 pupils use division facts for the 2, 5 and 120 times table and solve problems using concrete materials, arrays and see word problems in context.
Question 1:
Rosie picks 12 apples on a summer walk and wants to share them equally into 4 baskets. How many apples will be in each basket?
Answer: 3
12 divided by 4 = 3
Pictorially this would look like:
Question 2:
Amy loves baking and has baked 20 cup cakes. She wants to divide them between ten friends. How many cupcakes does each friend get?
Answer: 2
20 divided by 10 = 2
Question 3:
If I have a pizza and it is cut into 16 slices, and I share it amongst 4 people. How many slices will each person get?
Answer: 4
16 divided by 4 = 4
A multiplication fact that would help with this question would be to know 4 x 4 = 16
Question 4:
Rhys says, ‘I have 36 football trading cards and I am going to share them between my 2 friends. Each of my friends will get 14 cards.’ Is Rhys correct?
Answer: he is incorrect
Rhys is incorrect. If he correctly shares 36 cards between his 2 friends, each friend will get 18 cards because 36 divided by 2 = 18.
Question 5:
If a picnic bench can fit 8 children on it, and there are 24 children in our class, how many picnic benches will we need for our class to all have a seat?
Answer: We will need 3 benches.
24 divided by 3 = 8
Year 3 division word problems
With word problems for Year 3, pupils should begin using their recall of the 3, 4 and 8 times table to help with division word problems and be able to divide two digit numbers by one digit numbers using mental and short division.
Question 1:
if a school has 90 pupils in Year 3 and there are 3 classes in Year 3, how many pupils are in each class?
Answer: 30
90 shared equally into 3 classes = 30 children per class
Question 2:
Every day a school gets a delivery of milk in a crate. There are 96 cartons of milk in the crate. If there are 8 milk cartons in a pack, how many packs will be in the crate?
Answer: 8
96 divided by 12 = 8.
There are 8 cartons of milk in a pack.
Question 3:
A delivery of 124 footballs arrives at school for sports day. They are to be shared equally between 4 classes. How many footballs does each class get?
Answer: 31
124 divided by 4 = 31 footballs per class
Question 4:
Year 3 is going to the beach on a school trip. If there are 150 children in Year 3 and only 10 children can go on one mini bus, how many mini buses does Mr. Pearson need to book?
Answer: 15
150 children divided 10 = 15 mini buses.
Question 5:
Everly has a bag of 66 marbles. She says ‘If I share these marbles equally between 8 people, I will have 2 left over.’ Is Everly correct?
Answer: Yes, Everly is correct.
If we divide 66 into 8 groups we will have 2 marbles left.
This is because 66 divided 8 is 8 equal groups with 2 left over, because 8 x 8 is 64 and so there will be 2 marbles left.
Year 4 division word problems
With word problems for year 4, pupils should be using their full knowledge and recall of times tables to 12 x 12 to help with short division of 2 digit and 3 digit numbers by a 1 digit number. Word problems may also involve multi step problems. Remainders may also be within the answer.
Question 1:
If you have 61 flowers and divide them into four flower pots, how many flowers are in each pot? Are there any left over?
Answer: 15 flowers in each pot with 1 flower left over
If we divide 61 into 4 equal groups then we can use the short division method.
We put 61 into the ‘bus stop’ and divide it by 4.
We ask ourselves, how many 4’s go into the first number ‘6’ – and we know 4 x 1 = 4, so only one 4 goes into 6 but we have 2 remaining. We put that 2 next to the 1 in 61 and we now have the number ‘21’. How many 4’s go into 21? 4 x 5 is 20. Therefore, 5 lots of 4 go into 20. We now have the answer 15 flowers….but we would have 1 left over as we had to divide 21 by 4.
So the answer to 61 divided by 4 = 15 remainder 1.
This would look like:
Question 2:
A plate can hold 9 cereal bars. There are 180 cereal bars to put out. How many plates do we need?
Answer: 20 with no remainder.
180 divided by 9 = 20 with no remainder.
We may also know that 9 x 2 = 18 and so can use our place value knowledge to know that 9 x 20 = 180 as the answer would be ten times bigger than 9 x 2.
Questions 3:
Amy is calculating 188 divided by 11 and thinks that as the number 188 ends in an 88, that there will be no remainder. Is she correct?
Answer: Amy is incorrect.
If we do 188 divided by 11 we will get 17 remainder 1.
Question 4:
There are 216 animals in a zoo and they are spread out across 8 different zones. How many animals are in each zone?
Answer: 27
216 divided by 8 = 27
Question 5:
At a sports tournament there are 6 players in each team. There are 132 players altogether.
How many teams are there?
Answer: 22
132 divided by 6 = 22
Year 5 division word problems
Word problems for Year 5 centre around dividing a 4 digit number by a 1 digit number using the formal method of short division. They will also interpret remainders correctly depending on the context. Division and remainders is often demonstrated through money word problems.
Question 1:
Ronan has a ball of string that is 819cm long. He cuts it into 7 equal pieces. How long is 1 piece of string?
Answer: 117cm
819 divided by 7 = 117
Question 2:
In Key Stage 2 there are 1,248 coloured pencils. If there are 6 classes in Key Stage 2, how many pencils would each class receive?
Answer: 208cm
We use the short division method to divide 1,248 by 6 and we get 208 as the result.
Question 3:
Mia buys three computer games for £84.99. How much is one computer game?
Answer: £28.33
Whilst this involves decimal division due to it being monetary with pounds and pence, the process of short division is the same.
We divide £84.99 by 3 and we get £28.33.
Question 4:
The area of the school hall is 1,704m and needs to be split into four quadrants. What would be the area of each quadrant?
Answer: 426m
We take the total area of the school and divide it by 4 to represent each quadrant. In doing so, we would have 426m for each quadrant.
To check this is the correct answer, we could do the inverse and multiply 426 by 4 and we would get 1,704m.
Question 5:
Packets of sweets are put into multi packs of 8. The multi packs are then placed into boxes of 6. Today, 7800 packets of sweets were packed. How many boxes of sweets were packed?
Answer: 163 boxes
This is a two step problem. First we need to multiply the number of packets in a multi pack – 8 – by the number of boxes of multi packs – 6. We would get the answer 48.
We then have to take the total packets of sweets – 7800 – and divide this by 48. This would be our introduction to long division. If we do this we will get the answer 162.5.
Now we cannot have 162 and a half boxes and so we would round this up to 163 boxes – but the 163rd box would only be half full.
Year 6 division word problems
Word problems for year 6 will be preparing for their SATs exams in May. They would be familiar with the concept of long division and needing to divide a 4 digit number by a 2 digit number using the formal methods of both short and long division.
Question 1:
A school is selling tickets at £6 each to attend the Big Christmas Fair. Over 15 weeks it has earned an amazing £9,720! On average, how many tickets were sold each week?
Answer: 108 tickets per week
First, we need to use the formal method of long division to divide the grand total – £9720 by 15. If we do this correctly we will have the answer 648.
Then, we need to take this answer of 648, which is how much is earned each week, and then divide this by £6, the amount each ticket is.
This will result in the number of tickets sold each week – 108 tickets.
Question 2:
A square sports field has a perimeter of 2.696km. How long is each side of the field?
Answer: 674m
To answer this we need to be able to convert the 2.696km into metres. There are 1000 metres in a kilometre so that would be 2,696m. Then we divide this by 4 and get 674m for one side.
Question 3:
Keira is given a toy blocks kit containing 2,208 individual blocks. She wants to split the toy blocks evenly between 15 friends and herself to work on making a toy block city together. How many blocks should she give each of her friends?
Answer: 138 blocks
We need to use the formal method of long division to solve this. We also need to ensure we include Keira and her 15 friends so we have the number 16 as the divisor.
When we divide 2,208 by 16 using long division we get the answer 138.
Question 4:
Wesleigh was running in the cross country race. He ran for a distance of 3,569m and it took him 11 minutes to complete the race. How many metres did he run per minute? Give your answer to the nearest whole metre.
Answer: 324 metres
We need to use long division to divide 3,569 by 11. That will give us an answer of 324.45. As the decimal can be rounded down, the answer is 324 metres.
Question 5:
Sophia is preparing her sweet stall for the fair. She can fit 18 tins of sweets into one crate. How many crates will be needed to153 tins of sweets?
Answer: 9 cratesWe divide 153 by 18 using long division and we have an answer of 8 remainder 5. Therefore, having 8 crates would not be enough as we would have 85 tins left over and so we need a further tin to house the 5 tins left over. So, 9 crates are needed.
More word problems resource
Are you looking for more word problems resources? Take a look at our library of word problems practice questions including: time word problems, ratio word problems, addition word problems and subtraction word problems.
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Word problems on division for fourth grade students are solved here step by step.
Consider the following examples on word problems involving division:
1. $5,876 are distributed equally among 26 men. How much money will each person get?
Solution:
Money received by 26 men = 5876 So, money received by one man = 5876 ÷ 26
= 226
Each man will get $226.
2. If 9975 kg of wheat is packed in 95 bags, how much wheat will each bag contain?
Solution:
Since 95 bags contain wheat 9975 kg
Therefore, 1 bag contains wheat (9975 ÷ 95) kg
= 105 kg
Each bag contains wheat = 105 kg
In a problem sum involving division, we have to be careful about using the remainder.
3. 89
people have been invited to a banquet. The caterer is arranging tables.
Each table can seat 12 people. How many tables are needed?
Solution:
To answer this question, we need to divide 89 by 12
89 ÷ 12
Quotient — 7
Remainder — 5
If the caterer arranges 7 tables, then 5 people will have no place to sit.
So he needs to arrange 7 + 1 = 8 tables.
4. How many hours are there in 1200 minutes?
Solution:
We know that there are 60 minutes in 1 hour.Divide the number of minutes by the number of minutes in 1 hour. We get, divide 1200 by 601200 ÷ 60 = 20
So there are 20 hours in 1200 minutes.
Answer: 20 hours.
5. A bus can hold 108 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?
Solution:
Total number of passengers = 108
There are 12 rows of seats on the bus.
To find how many seats are there in each row, divide the total number of passengers by the number of rows of seats on the bus.
We get, divide 108 by 12
108 ÷ 12 = 9
Therefore, there are 9 seats in each row.
Answer: 9 seats.
6. Tom had 63 apples. He divides all apples evenly among 9 friends. How many apples did Tom give to each of his friends?
Solution:
Total number of apples = 63
There are 9 friends of seats on the bus.
To find how many apples Tom gave to each of his friends, divide the total number of apples by the number of friends.
We get, divide 63 by 9
63 ÷ 9 = 7
Therefore, Tom gives 7 apples to each of his friends.
Answer: 7 Apples
7. Mark baked 195 cookies and divided them equally into 13 packs. How many cookies did Mark put in each packet?
Solution:
Total number of cookies = 195
There are 13 packs.
To find how many cookies did Mark put in each packet, divide the total number of cookies by the number of packs.
We get, divide 195 by 13
195 ÷ 13 = 15
Therefore, Mark put 15 cookies in each pack.
Answer: 15 cookies.
9.
Nancy needs 5 lemons to make a glass of orange juice. If Nancy has 250
oranges, how many glasses of orange juice can she make?
Solution:
Total number of oranges = 250
She needs 5 lemons to make a glass of orange juice.
To
find how many glasses of orange juice can Nancy make, divide the total
number of oranges by the number of oranges needed for each glass of
orange juice.
We get, divide 250 by 5
250 ÷ 5 = 50
Therefore, Nancy can make 50 glasses of orange juice.
Answer: 50 glasses of orange juice.
10. In your classes you counted 120 hands. How many students were at the class?
Solution:
Total number of hands = 120
We have 2 hands.
To find how many students were at the class, divide the total number of hands by the number of hands we have.
We get, divide 120 by 2
220 ÷ 2 = 60
Therefore, there were 60 students at the class.
Answer: 60 students.
11. The total train fare for 20 persons is 7540 rupees. What is the fare for 1 person.
|
Solution: The total train fare = 7540 rupees Number of persons = 20 Train fare for 1 person = 7540 ÷ 20 = 377 |
|
These are the basic word problems on division.
Questions and Answers on Word Problems on Division:
1. 92 bags of cement can be
loaded in a truck. How many such trucks will be needed to load 2208 bags?
Answer: 24 trucks
2. The total train fare for 11
persons was $3850. What was the fare for one person?
Answer: $350
Related Concept
● Addition
● Word
Problems on Addition
● Subtraction
● Check
for Subtraction and Addition
● Word
Problems Involving Addition and Subtraction
● Estimating
Sums and Differences
● Find the
Missing Digits
● Multiplication
● Multiply
a Number by a 2-Digit Number
● Multiplication
of a Number by a 3-Digit Number
● Multiply a Number
● Estimating Products
● Word
Problems on Multiplication
● Multiplication
and Division
● Terms Used in
Division
● Division
of Two-Digit by a One-Digit Numbers
● Division
of Four-Digit by a One-Digit Numbers
● Division
by 10 and 100 and 1000
● Dividing Numbers
● Estimating
the Quotient
● Division
by Two-Digit Numbers
● Word
Problems on Division
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This page contains extensive division word problems replete with engaging scenarios that involve two-digit and three-digit dividends and single digit divisors; three-digit dividends and two-digit divisors; and advanced division worksheets (four-digit and five-digit dividends). Thumb through some of these worksheets for free!
Division Word Problems for Beginners
These printable worksheets feature simple division word problems. The divisors are in the range 2 to 9. The quotients are in the range 2 to 10. These worksheets are building blocks for children.
Division: Two-digit by Single-digit (with Remainder)
These word problems require the learner to divide the two-digit dividend by the single-digit divisor and write down both the quotient and the remainder. Three pdf worksheets with 15 scenarios are featured here.
Theme based Word Problems
Each worksheet has five word problems related to the given theme. Supermarket, School and Halloween party are the themes used here.
Three-digit by Two-digit Word Problems
This set of word problems will require the student to perform division operations involving three-digit numbers and two-digit numbers. Verify your answer with the answer key provided in the worksheet.
Division: Four or Five-digit by Single-digit
Interesting scenarios are presented in these advanced worksheet pdfs that involve four-digit and five-digit dividends and single digit divisors. Use long division method to find the quotient.
Dividing numbers is easy! If you solve all the division word problems from LogicLike!
3rd Grade
There are 3 students in the class and 21 pens.
If the pens are divided equally among the students,
how many does each student get?
Judy is inviting 21 friends to a party. She has 63 cookies.
How many cookies will each friend get?
Jerome paid $684 for 12 chairs. How much does one chair cost?
If 225 fish need to be put into 5 aquariums.
How many fish should be in each aquarium?
There are 30 students and 360 worksheets in the class.
If the worksheets are shared equally among students,
how much will each student receive?
George is making kites.
It takes 6 feet of string to make a kite.
He has 80 feet of string.
How many kites can he make?
Kevin has 84 baseball cards in a collection.
He can fit 9 cards on a page.
How many pages does she need?
45 tourists want to eat lunch at a picnic area.
If each picnic table seats 6 people,
how many tables will the tourists need?
How many free seats will remain?
Thomas wants to split a collection of cards into groups of 84.
Thomas has 756 cards. How many groups will be created?
Maggie’s popcorn machine can produce 8,750 bags of popcorn per week.
How many bags of popcorn can a machine make per day?
4th Grade
A bus traveled 260 miles in 4 hours.
The same distance was traveled each hour.
How far did the bus travel each hour?
Monika earned $216 babysitting in 9 months.
She earned the same amount each month.
How much did Tina earn babysitting each month?
There are 680 calories in 8 granola bars.
How many calories are in each granola bar?
A hospital ordered 320 new chairs.
The chairs will be delivered in 5 equal shipments.
How many chairs will be in each shipment?
There are 3,920 calories in 7 pints of chocolate ice cream.
How many calories are there in each pint of chocolate ice cream?
A school ordered 204 new study desks.
The desks will be delivered in 6 equal shipments.
How many desks will be in each shipment?
The cinema has a total of 468 seats,
which are equally distributed over 26 rows.
How many seats are there in each row?
Joel took a six-day 54-mile backpacking trip.
He hiked the same distance a day.
How many miles a day did he walk?
The cost of a pizza is $18.
If 3 friends are to share the cost equally,
how much should each pay?
The coach orders a uniform for his football team.
A trainer can spend up to $6,138 on a uniform.
If each uniform costs $170,
how many of these can a coach buy?
5th Grade
Steve’s car has a 12-gallon gas tank.
Refueling the tank costs $19.2.
What is the cost of gas per gallon?
The company has $14,000 to buy TV advertisements.
If each advertisement costs $1,600,
how many advertisements can a company buy?
Amanda bought four identical vases from the church bazaar.
She paid $196 in total. How much did one vase cost?
David has 468 feet of rope. How long is the rope in yards?
The toy company makes Teddy bears in two sizes — big and small.
The company produced 1,620 Teddy Bears last week.
They made 11 times more small Teddies than large ones.
How many big size toys did they make?
In the gift shop, customers can pay in cash or by credit card.
1,512 buyers bought gifts last week.
There were 13 times more buyers with a credit card than those who paid in
cash.
How many buyers have used the card?
A tableware store needs to send an order to the restaurant from 312
plates.
If each shipping box holds 12 plates, how many boxes are required to pack?
The ship should carry 200 people across the river.
The ship can accommodate 32 people in one trip.
How many people will the ship take on the last trip?
Sandra and Anna baked homemade sweet treats to sell.
They baked 128 sweet treats in all.
Sandra baked 3 times as many treats as Anna.
How many sweet treats did Anna bake?
Pam needs to order 8,600 pens for an upcoming conference.
If the pens come in boxes of 24, how many boxes should Pam order?
6th Grade
Ben needs to order 6,300 tennis balls for the tennis court.
If there are 6 balls in each package,
how many such packages should Ben order?
Two programmers together earned $8,520. How to split the earned money if one
completed 4/10 and the other 6/10 of the whole work?
One day 608 people signed up to play softball.
If 16 players are assigned to each team,
how many teams can be formed?
Two garages have 460 parking spaces.
The number of places in the first garage is 75%.
How many parking spaces are there in the second garage?
If from 400 pounds of flour 520 pounds of bread are baked.
How many pounds of bread will be obtained from 600 pounds of flour?
The school library has 4,000 books.
All books are equally distributed in 25 cabinets.
Each cabinet has 8 shelves with an equal number of books.
How many books are on one shelf?
Mark went to a pizza place with two friends.
They ordered a large pizza for $24.00 and a garden salad for $7.20.
They also got three sodas for $1.10 each.
The tax came to $1.50. They divided the bill equally.
How much did everyone pay?
Ms. Bunny purchased a new car. Her loan, including interest, is
$14,760.
How much are her monthly payments if she has 60 monthly payments to
make?
Nick, Jonh, and Antony are buying snowboards.
Mike is getting his snowboard on sale for $216.32.
Jake’s costs $293.95. Aaron’s costs $232.23.
What is the arithmetic mean price of snowboards?
In order to train for a biking trip, Julie rides her bike 175 miles a
week.
How many total miles does she ride in a day?
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Related Pages
1-Step Division Word Problems
Multiplication and Division Word Problems
More Word Problems
More Singapore Math Lessons
Block diagrams are used in Singapore Math and tape diagrams are used in the Common Core Math.
We use division or multiplication when the problem involves equal parts of a whole. Sometimes,
the problem involves comparison and it becomes a 2-step problem. The following diagram shows
how to use equal parts of a whole and comparison. Scroll down the page for examples and solutions.
Example:
Marcus had 700 marbles. He gave away 175 marbles and put the remaining marbles equally into 5 bags.
How many marbles were there in each bag?
Solution:
Step 1: Find how many marbles he had left.
700 – 175 = 525
He had 525 marbles left.
Step 2: Find the number of marbles in each box.
525 ÷ 5 = 105
There were 105 marbles in each box.
Example:
Rosalind made 364 donuts. She put 8 donuts into each box.
a) How many boxes of donuts were there? How many donuts were left over?
b) If she sold each box for $3, how much money would she receive?
Solution:
Step 1: Find the number of boxes of donuts.
364 ÷ 8 = 45 remainder 4
There were 45 boxes of donuts.
4 donuts were left over.
Step 2: Find how much money she would receive.
45 × 3 = 135
She would receive $135.
How to solve a 2-step division word problem using multiple tape diagrams?
Example:
Ben is making math manipulatives to sell. He needs to make at least $450. Each manipulative costs $18 to make. He is selling them for $30 each. What is the minimum number he can sell to reach his goal?
- Show Video Lesson
How to use tape diagrams to solve fractional division problems?
Basic algorithms and checks are also demonstrated.
Example:
When someone donated 14 gallons of paint to Rosendale Elementary School, the fifth grade decided to use it to paint murals. They split the gallons equally among the four classes.
a) How much paint did each class have to paint their mural?
b) How much pain will three classes use? Show your thinking using words, numbers, or pictures.
c) If 4 students share a 30 square foot wall equally, how many square feet of the wall will be painted by each student?
- Show Video Lesson
How to solve division word problems using the Algebra method and the Singapore Math method?
Example:
Jeremy bought 8 identical pens and 5 identical notebooks. The cost of 8 pens is the same as the cost of 5 notebooks. Each notebook costs 30 cents more than each pen. How much did Jeremy spend altogether?
- Show Video Lesson
How to solve a multiplication and division 2-step problem?
Using the comparison model, this video teaches how to approach a given 2-step problem on multiplication and division, and shows the detailed steps of how to solve it.
Example:
Billy bought 5 bags of balls. Each bag contained 40 balls. He packed the balls into packets of 8 balls each. How many packets did he get?
- Show Video Lesson
How to solve a subtraction and division 2-step problem?
Using the comparison model, this video teaches how to approach a given 2-step problem on subtraction and division, and shows the detailed steps of how to solve it.
Example:
A boy collects a total of 316 stamps, stickers and coins. He collects 4 times as many stamps as stickers. There are 46 coins. How many stickers are there?
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How to solve a division and fraction word problem visually?
Example:
Mimi’s market sold 24 heads of lettuce one morning. That afternoon 2/7 of the remaining heads of lettuce were sold. The number of heads left was now 1/2 of the number the market had at the beginning of the day. How many heads of lettuce were there at the beginning of the day?
- Show Video Lesson
How to solve a part whole division word problems using bar models?
Tips for Bar Modeling Division Problems
- Show units by dividing one long unit bar into its parts.
- If the question asks for the value of one of the parts of a unit bar, write your question mark right inside that section of the unit bar.
Examples:
- 28 playing cards are arranged equally in 4 rows. How many playing cards are there in each row?
- If 18 cookies are arranged equally in 6 piles. How many cookies are there in each pile?
- A woman divided her lottery winnings of $92,000 into 8 equal parts. She gave 4 portions to her husband, 1 portion to her daughter, and divided the rest equally among three charities. How much more money did the husband receive than the daughter?
- Tralise has a library that she does not want to keep because she prefers digital books, so she divided to give her books away. She divided her collection of 1200 books into 10 equal parts. She gave 3 portions to her sister, 4 portions to her best friend, and the rest equally to three nieces. How many books did her best friend receive?
- Oscar had 3 times as many cookies as Zoe. After Oscar ate 50 cookies, he had half as many cookies as Zoe. How many cookies did Oscar have left?
- Show Video Lesson
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Are your children ready to conquer division? These interactive, division problem-solving worksheets will help children solve division word problems in five different ways.
Division Problems
He has done it numerous times. Sharing a group of toys with his siblings, or even sharing a bag of M&M’s. In those situations, he instinctively knows how to do division problems.
When we hit the division problem in his math book, he wasn’t quite as sure what to do.
I wanted this little man of mine to be able to relate division to what he has done over and over while creating strategies for solving division problems.
These word problems with five steps were what we came up with. These simple division worksheets are perfect for 3rd grade division word problems.
How to Solve Division Word Problems
Step 1: Division Word Problem Solving by Grouping
The first step is the way we normally teach children to solve division problems. The students grab the amounts of objects that need to be divided up and then place them in the correct amount of groups. It is very hands-on and a visual way for our children to understand what is happening when we are dividing.
Step 2: Solving Division Word Problems by Repeated Subtraction
To solve a word problem using repeated subtraction, students start with the number being divided up or the dividend. Now they subtract the divisor or the number that tells how many groups are needed from the dividend over and over until they reach zero. The number of times they subtracted is the answer.
Step 3: Division Word Problem Solving with Arrays
Chances are if you taught multiplication in a hands-on way, you taught it using arrays. You can create an array when you place objects, pictures, or numbers in equal columns and equal rows.
With multiplication, you would take a problem like 4 x 5, and make 4 rows with 5 in each column. You would end up with 20 objects, which of course is the answer to the multiplication problem.
Division is a little different. If the problem is 18 ÷ 3, The student creates three rows. They then keep placing one object in each row until they have used 18 objects.
They now have an array that is a 3 by 6. The answer to the division problem is 6.
Want to know how to use arrays to divide when the numbers are larger? Check out this POST!
Step 4: Number Line to Solve Division Word Problems
Number lines have become an important tool in helping children solve problems. The beginning of this video by Ramy Melhem clearly shows how to divide using a number line, and the little frog hopping is a great visual for our little ones.
Step 5: Create an Equation
The final step is very easy after all the work above. The students simply figure out what number was divided up, and place it in the first box.
They then look at how many groups they created, and that is the number that goes into the second box. Finally, they figure out how many objects were in each group and that is the answer or quotient.
That number goes in the last box.
By throwing in markers and painting with q-tips these sheets were fun for my little man, and I could see his understanding of division grow.
We moved on to these cut-and-paste division assessments, and his thinking was challenged even more. Through all this practice he is on his way to mastering simple division problems, and your kiddos can master it too.
Get This Cut and Paste Division Assessment at my TpT Store.
You’ve Got This
Division Word Problems Printable
These free division math problems will help your students learn how to solve division problems 5 different ways. You can download this printable by clicking on the download button.
division-word-problems-1
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!
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
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
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
Or,
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?
FAQs
What are Multiplication and Division Word Problems?
Multiplication and Division word problems are comprehensive mathematical questions designed to help students learn these skills by giving them real-life scenarios.
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
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.
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.