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Stop startup problems before they even begin. Here are 5 common mistakes that can sabotage your business--and how to avoid them.

By Rosalind Resnick • Jun 1, 2008

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Reprinted with permission from Getting Rich Without Going Broke: How to Use Luck, Logic and Leverage to Build Your Own Successful Business by Rosalind Resnick (©2007). All rights reserved.

Rosalind Resnick, the founder and CEO of Axxess Business Consulting, a New York City consulting firm that advises startups and small businesses, is the co-founder and former CEO of NetCreations, a two-person homebased web design firm that grew to a $58 million public company and was acquired for $111 million in cash in 2001. In this excerpt from her book Getting Rich Without Going Broke: How to Use Luck, Logic and Leverage to Build Your Own Successful Business (PageFree Publishing), Resnick shares her secrets for building a multimillion-dollar business.

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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.

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

Can you replace the letters with numbers? Is there only one solution in each case?

problem solving divide ks2

Multiplication Square Jigsaw

Can you complete this jigsaw of the multiplication square?

problem solving divide ks2

Shape Times Shape

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

problem solving divide ks2

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?

problem solving divide ks2

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

problem solving divide ks2

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.

problem solving divide ks2

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.

problem solving divide ks2

Journeys in Numberland

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

problem solving divide ks2

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.

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

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.

problem solving divide ks2

Highest and Lowest

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

Find at least one way to put in some operation signs (+ - x ÷) to make these digits come to 100.

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

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.

problem solving divide ks2

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.

problem solving divide ks2

Two Primes Make One Square

Can you make square numbers by adding two prime numbers together?

problem solving divide ks2

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?

problem solving divide ks2

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

problem solving divide ks2

Which Is Quicker?

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

problem solving divide ks2

A Square of Numbers

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

An Easy Way to Multiply by 10?

Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

problem solving divide ks2

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?

problem solving divide ks2

Factors and Multiples Game

Age 7 to 16 challenge level.

This game can replace standard practice exercises on finding factors and multiples.

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

The Remainders Game

Play this game and see if you can figure out the computer's chosen number.

problem solving divide ks2

Which Symbol?

Choose a symbol to put into the number sentence.

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

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.

problem solving divide ks2

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?

problem solving divide ks2

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.

problem solving divide ks2

So It's Times!

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

problem solving divide ks2

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?

problem solving divide ks2

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?

problem solving divide ks2

Multiply Multiples 3

Have a go at balancing this equation. Can you find different ways of doing it?

problem solving divide ks2

Division Rules

This challenge encourages you to explore dividing a three-digit number by a single-digit number.

problem solving divide ks2

Always, Sometimes or Never? Number

Are these statements always true, sometimes true or never true?

problem solving divide ks2

Satisfying Four Statements

Can you find any two-digit numbers that satisfy all of these statements?

problem solving divide ks2

Picture Your Method

Can you match these calculation methods to their visual representations?

problem solving divide ks2

Compare the Calculations

Can you put these four calculations into order of difficulty? How did you decide?

problem solving divide ks2

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?

problem solving divide ks2

4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

problem solving divide ks2

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25 Division Word Problems for Year 2 to Year 6 With Tips On Supporting Pupils’ Progress

Steven Eastes

Steven Eastes

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

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 in ks1, introducing short division , introducing long division , applying maths to real life situations, building problem solving skills, developing mathematical language skills, deepening understanding of the inverse relationship between division and multiplication, how to teach division word problem solving in primary school., example of a division word problem, examples of division word problems in the primary setting, year 2 division word problems, year 3 division word problems, year 4 division word problems, year 5 division word problems, year 6 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.

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 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.

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?’

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 when working with fractions, decimals and percentages. 

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.

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.

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.

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.

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. 

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.

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:

question workings

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:

division visualisation

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.

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.

short division word problem question slide

Division word problems are essential to developing problem solving skills and mathematical reasoning.

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?

12 divided by 4 = 3

Pictorially this would look like:

division visualisation

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?

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?

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

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.

if a school has 90 pupils in Year 3 and there are 3 classes in Year 3, how many pupils are in each class?

90 shared equally into 3 classes = 30 children per class

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?

96 divided by 12 = 8.

There are 8 cartons of milk in a pack.

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?

124 divided by 4 = 31 footballs per class

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?

150 children divided 10 = 15 mini buses.

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.

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.

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:

division workings

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.

There are 216 animals in a zoo and they are spread out across 8 different zones. How many animals are in each zone?

216 divided by 8 = 27

At a sports tournament there are 6 players in each team. There are 132 players altogether.

How many teams are there?

132 divided by 6 = 22

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.

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

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.

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.

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.

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.

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.

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.

long division workings

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.

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.

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.

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 crates We 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.

Do you have pupils who need extra support in maths? Every week Third Space Learning’s maths specialist tutors support thousands of pupils across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to plug gaps and boost progress. Since 2013 we’ve helped over 130,000 primary and secondary school pupils become more confident, able mathematicians. Learn more or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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FREE KS2 maths SATs practice papers

Get ready for SATs with this set of 6 maths SATs practice papers designed to help your Year 6 pupils improve test skills and build confidence.

Includes: - 2 arithmetic and 4 reasoning papers that follow the National Curriculum Assessments. - Mark schemes to diagnose and assess where your pupils need extra support.

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Division word problems- differentiated

Division word problems- differentiated

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

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6 August 2020

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Lesson Plan

Division word problems, view aligned standards, learning objectives.

Students will be able to identify key division terms in word problems to help solve long division problems with one-digit divisors.


Word Problems: Divide & Check


Related Guided Lesson

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Multiplication and Division

Division Worksheets ÷ Hub Page

Welcome to our Division Worksheets hub page.

Here you will find links to our many division worksheet pages, including division facts worksheets, division word problems and long division worksheets.

We also have other division resources including flashcards, division games and online division practice.

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Here are the instructions how to enable JavaScript in your web browser .

This page contains links to other Math webpages where you will find a range of activities and resources.

If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

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Division Learning

Division is often a process which kids often find quite difficult and hard to learn. Kids need to learn what division is before they start formal work on dividing numbers.

Sharing things out, such as counters, between pretend people or cuddly toys is a great way to start your child on their division journey so that they have a basic understanding of what division is. Putting counters into same-size groups is also another way to reinforce division as a model for both sharing and grouping.

When your child is confident with sharing and they have a good understanding of division, they can start learning their division facts and the long division method.

Once they have mastered long division dividing numbers by a single digit, they can start dividing numbers by 2 digits, and begin to learn to divide decimal numbers.

Quicklinks to:

Division Worksheets by Grade

Division Facts Worksheets

Division Word Problems

Second Grade Division

The link below will open the 2nd-grade-math-salamanders website in a new browser window.

3rd Grade Division

4th Grade Division

5th Grade Division

Understanding Division Worksheets

Here you will find a selection of Division sheets designed to help your child improve their understanding of what division is.

The sheets introduce the idea of division in terms of sharing and grouping, and designed to be a good practical start to learning about division.

All the free math work sheets in this section are informed by the Elementary Math Benchmarks for 2nd Grade.

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Division Flashcards

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

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

Using these flashcards will help your child to:

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

Multiplication & Division Times Table Charts

Here you will find a selection of Multiplication/Division Times Table Charts to 10x10 or 12x12 to support your child in learning their multiplication and division 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:

Division Practice Area

Here is our free division practice area.

If you want to practice your division facts, or take a timed division test, then this is the place for you.

In this area, we cover the following division facts:

Here you will find a selection of Mental Division sheets designed to help your child improve their recall of Division Facts and to apply their facts to answer related questions.

Division (and multiplication) Worksheet Generator

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

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

Each sheet comes complete with answers if required.

The areas the generator covers includes:

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

Division Facts to 10x10 Sheets (3rd & 4th Grade)

Here you will find a selection of Division sheets designed to help your child learn their Division facts up to 10x10.

Example: if a child knows that 5 x 4 = 20, then they should also know that 20 ÷ 5 = 4 and 20 ÷ 4 = 5.

The sheets are graded so that the division facts start off up to 5x5, progressing on to 10x10 by the end.

Using these sheets will help your child to:

Division Related Facts 10s and 100s (4th & 5th Grade)

Here you will find a selection of Division sheets designed to help your child learn to use their Division facts up to 10x10 to answer related questions.

Example: if you know that 42 ÷ 6 = 7, then you also know that 420 ÷ 6 = 70 or 420 ÷ 70 = 6, etc.

The sheets are graded so that the related division facts start off easier, then get gradually harder.

Division Related Facts Decimals (5th & 6th Grade)

Here you will find a selection of Division sheets designed to help your child learn to use their Division facts up to 10x10 to answer related questions involving decimals.

Example: if you know that 24 ÷ 6 = 4, then you also know that 2.4 ÷ 6 = 0.4 or 2.4 ÷ 0.4 = 6, etc.

Dividing Negative Numbers (6th Grade)

We also have a generator for creating your own division worksheets involving signed integers.

You can choose the values you want and tailor the worksheets to your needs.

Long Division Sheets

Long Division starts properly once kids reach 3rd grade, and after they have a good understanding of what division is, and know their division facts.

Here you will find long division worksheets, starting from dividing a 2 digit number by a single digit, all the way up to dividing a 3 or 4 digit number by two digits.

Quickinks to ...

Long Division 2 Digits by 1 Digit (3rd Grade)

Here you will find a selection of free Division sheets 3rd Grade which are designed to help your child understand how to do long division. The sheets are graded so that the easier ones are at the top.

Long Division 3 & 4 Digits by 1 Digit (4th Grade)

Here you will find a range of Long Division sheets which are designed to help your child master their Long Division by a single digit.

Long Division by 2 Digits (5th Grade)

Here you will find a selection of free Division sheets designed to help your child learn to do 2 digit long division. The sheets are graded so that the easier ones are at the top.

Long Division by Decimals (6th Grade)

We have some decimal division worksheets with up to 3 decimal places.

There are also some worked examples to show you how.

We have created lots of division word problems for you to solve.

The sheets involve solving division problems in a range of different contexts and involve both sharing and grouping.

These sheets involve solving a range of division problems.

Using this link will open our 2nd Grade Math Salamanders website in a new browser window.

Fun Division Games

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

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

The following sheets will help your child to:

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

How to Print or Save these sheets

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Need help with printing or saving? Follow these 3 easy steps to get your worksheets printed out perfectly!

Return from Division Worksheets page to Math Salamanders Home Page

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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