problem solving example addition

At my current job, I recently solved a problem where a client was upset about our software pricing. They had misunderstood the sales representative who explained pricing originally, and when their package renewed for its second month, they called to complain about the invoice. I apologized for the confusion and then spoke to our billing team to see what type of solution we could come up with. We decided that the best course of action was to offer a long-term pricing package that would provide a discount. This not only solved the problem but got the customer to agree to a longer-term contract, which means we’ll keep their business for at least one year now, and they’re happy with the pricing. I feel I got the best possible outcome and the way I chose to solve the problem was effective.

Example Answer 2:

In my last job, I had to do quite a bit of problem solving related to our shift scheduling. We had four people quit within a week and the department was severely understaffed. I coordinated a ramp-up of our hiring efforts, I got approval from the department head to offer bonuses for overtime work, and then I found eight employees who were willing to do overtime this month. I think the key problem solving skills here were taking initiative, communicating clearly, and reacting quickly to solve this problem before it became an even bigger issue.

Example Answer 3:

In my current marketing role, my manager asked me to come up with a solution to our declining social media engagement. I assessed our current strategy and recent results, analyzed what some of our top competitors were doing, and then came up with an exact blueprint we could follow this year to emulate our best competitors but also stand out and develop a unique voice as a brand. I feel this is a good example of using logic to solve a problem because it was based on analysis and observation of competitors, rather than guessing or quickly reacting to the situation without reliable data. I always use logic and data to solve problems when possible. The project turned out to be a success and we increased our social media engagement by an average of 82% by the end of the year.

Answering Questions About Problem Solving with the STAR Method

When you answer interview questions about problem solving scenarios, or if you decide to demonstrate your problem solving skills in a cover letter (which is a good idea any time the job description mention problem solving as a necessary skill), I recommend using the STAR method to tell your story.

STAR stands for:

It’s a simple way of walking the listener or reader through the story in a way that will make sense to them. So before jumping in and talking about the problem that needed solving, make sure to describe the general situation. What job/company were you working at? When was this? Then, you can describe the task at hand and the problem that needed solving. After this, describe the course of action you chose and why. Ideally, show that you evaluated all the information you could given the time you had, and made a decision based on logic and fact.

Finally, describe a positive result you got.

Whether you’re answering interview questions about problem solving or writing a cover letter, you should only choose examples where you got a positive result and successfully solved the issue.

What Are Good Outcomes of Problem Solving?

Whenever you answer interview questions about problem solving or share examples of problem solving in a cover letter, you want to be sure you’re sharing a positive outcome.

Below are good outcomes of problem solving:

Every employer wants to make more money, save money, and save time. If you can assess your problem solving experience and think about how you’ve helped past employers in those three areas, then that’s a great start. That’s where I recommend you begin looking for stories of times you had to solve problems.

Tips to Improve Your Problem Solving Skills

Throughout your career, you’re going to get hired for better jobs and earn more money if you can show employers that you’re a problem solver. So to improve your problem solving skills, I recommend always analyzing a problem and situation before acting. When discussing problem solving with employers, you never want to sound like you rush or make impulsive decisions. They want to see fact-based or data-based decisions when you solve problems. Next, to get better at solving problems, analyze the outcomes of past solutions you came up with. You can recognize what works and what doesn’t. Think about how you can get better at researching and analyzing a situation, but also how you can get better at communicating, deciding the right people in the organization to talk to and “pull in” to help you if needed, etc. Finally, practice staying calm even in stressful situations. Take a few minutes to walk outside if needed. Step away from your phone and computer to clear your head. A work problem is rarely so urgent that you cannot take five minutes to think (with the possible exception of safety problems), and you’ll get better outcomes if you solve problems by acting logically instead of rushing to react in a panic.

You can use all of the ideas above to describe your problem solving skills when asked interview questions about the topic. If you say that you do the things above, employers will be impressed when they assess your problem solving ability.

If you practice the tips above, you’ll be ready to share detailed, impressive stories and problem solving examples that will make hiring managers want to offer you the job. Every employer appreciates a problem solver, whether solving problems is a requirement listed on the job description or not. And you never know which hiring manager or interviewer will ask you about a time you solved a problem, so you should always be ready to discuss this when applying for a job.

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Biron Clark is a former executive recruiter who has worked individually with hundreds of job seekers, reviewed thousands of resumes and LinkedIn profiles, and recruited for top venture-backed startups and Fortune 500 companies. He has been advising job seekers since 2012 to think differently in their job search and land high-paying, competitive positions.

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Problem Solving Scenarios With Examples and Solutions

Often in work, you will come across problem-solving scenarios that require you to use your analytical skills to solve a problem. These scenarios are an important part of any problem-solving class, and they provide you with a real-world examples of how to solve a problem.

What is Problem Solving?

Problem-solving scenarios with solutions can be used to solve business-critical problems. Problem-solving methods are designed to help teams identify and evaluate solutions. However, it is important to recognize that these methods are only part of the problem-solving process.

Problem-solving methods help teams identify and evaluate solutions, but they do not solve the problem. Understanding the problem and scope is important before determining the best solutions. Taking the time to understand the problem will help teams to develop a “road map” for solutions.

You should also ask yourself, “What is the most effective solution?” This step involves carefully evaluating and analyzing each solution. In addition, it is important to consider the consequences of each solution. Finally, if you decide to use a solution, make sure it is the one that works best for all members of the team.

Problem-solving scenarios with solutions are not easy to create. However, if you practice problem-solving skills, you will become more effective in your ability to find effective solutions.

Problem Solving Scenario we come Across at Work

Having a job is great, but it rarely goes as planned. Thankfully, there are ways to improve your productivity and morale. The key is to be smart about your work and the people you choose to work with. The best way to ensure that happens is to have a problem-solving strategy at your disposal. If you aren’t lucky enough to be in the c-suite, you can use a few tools and tricks to make yourself a star in your circle of trust.

Examples of Problem Solving Scenario

The best solution-finding strategies are a combination of both creativity and logic. Often, the most effective solution is one that the whole team can work on together. This can include sketching on paper or a brainstorming session that will help your team brainstorm ideas for the best possible solution. You’ll also want to build feedback channels to ensure that the right people are involved in the implementation process.

One of the most important components of any good problem-solving strategy is empathy. This is especially true when working with teenagers, who often struggle with language eliciting other people’s responses. This is where wordless animations come in handy. By creating a scene in which people can say words without using adverbs and adjectives, you can help your team build a more realistic rapport.

Problem-Solving Examples and Solutions

Using problem-solving scenarios with examples and solutions is a way to help teams improve their ability to tackle problems. As a result, a team can use problem-solving techniques to help them think more creatively and efficiently solve problems.

Another problem-solving technique is to use the Five Whys technique. This allows the group to identify the causes of the problem. Using this technique, the team can determine why the problem exists and what they can do to solve it.

The Improved Solutions game is another problem-solving technique that encourages teams to think about and discuss a variety of problems. This game shifts roles within the team throughout the process, which encourages more peer review. This game is a fun way to engage stakeholders and break out of a routine mindset.

What is a good example of problem-solving for interview?

A time when a candidate overcame a tight budget is a terrific illustration of problem-solving in action that they might use in a job interview. Even outside of accounting, finding innovative solutions to financial issues is always desired. It demonstrates that a candidate knows how to utilise their resources.

What is problem-solving explain with an example?

What are problem scenarios, what is an example of a simple problem, what is problem solving in everyday life.

We may recognise and take advantage of environmental possibilities and exercise (some degree of) control over the future by solving problems. Both as individuals and as organisations, problem solving abilities and the issue-solving process are essential components of daily life.

What is Addition in Maths?

Addition is an operation used in math to add numbers . The result that is obtained after addition is known as the sum of the given numbers. For example, if we add 2 and 3, (2 + 3) we get the sum as 5. Here, we performed the addition operation on two numbers 2 and 3 to get the sum, i.e., 5

Addition Definition

Addition is defined as the process of calculating the total of two or more numbers. This calculation can be a simple one or a process that involves regrouping and carrying over of numbers.

Addition Symbol

In mathematics, we have different symbols. The addition symbol is one of the widely used math symbols . In the above definition of addition, we read about adding two numbers 2 and 3. If we observe the pattern of addition (2 + 3 = 5) the symbol (+) connects the two numbers and completes the given expression. The addition symbol consists of one horizontal line and one vertical line. It is also known as the addition sign or the plus sign (+)

Parts of Addition

An addition statement can be split into the following parts.

Addition Formula

The addition formula is the statement that shows an addition fact and is expressed as, addend + addend = sum . This can be understood with the help of the example shown in the figure given below. The basic addition formula or the mathematical equation of addition can be explained as follows. Let us see how to write an addition sentence in the following way.

Here, 5 and 3 are the addends and 8 is the sum. It should be noted that there can be multiple addends in an addition fact. For example, 5 + 7 + 9 + 3 = 24.

How to Solve Addition Sums?

While solving addition sums, one-digit numbers can be added in a simple way, but for larger numbers, we split the numbers into columns using their respective place values , like ones, tens, hundreds, thousands, and so on. We always start doing addition from the right side as per the place value system. This means we start from the ones column, then move on to the tens column, then to the hundreds column, and so on. While solving such problems we may come across some cases with carry-overs and some without carry-overs. Let us understand addition with regrouping and addition without regrouping in the following sections.

Addition Without Regrouping

The addition in which the sum of the digits is less than or equal to 9 in each column is called addition without regrouping. Let us understand how to add two or more numbers without regrouping with the help of an example.

Example: Add 11234 and 21123

Solution: We will use the following given steps and try to relate them with the following figure.

In addition without regrouping, we simply add the digits in each place value column and combine the respective sums together to get the answer. Now, let us understand addition with regrouping.

Addition With Regrouping

While adding numbers, if the sum of the addends is greater than 9 in any of the columns, we regroup this sum into tens and ones. Then we carry over the tens digit of the sum to the preceding column and write the ones digit of the sum in that particular column. In other words, we write only the number in 'ones place digit' in that particular column, while taking the 'tens place digit' to the column to the immediate left. Let us understand how to add two or more numbers by regrouping with the help of an example.

Example: Add 3475 and 2865.

Solution: Let us follow the given steps and try to relate them with the following figure.

Note: There is an important property of addition which states that changing the order of numbers does not change the answer. For example, if we reverse the addends of the above illustration we will get the same sum as a result (2865 + 3475 = 6340). This is known as the commutative property of addition .

Number Line Addition

Another way to add numbers is with the help of number lines . Let us understand the addition on a number line with the help of an example and the number line given below.

Example: Add 10 + 3 using a number line

Solution: We start by marking the number 10 on the number line. When we add using a number line, we count by moving one number at a time to the right of the number. Since we are adding 10 and 3, we will move 3 steps to the right. This brings us to 13. Hence, 10 + 3 = 13.

Addition Properties

While performing addition we commonly use the properties listed below:

Addition Word Problems

The concept of the addition operation is used in our day-to-day activities. We should carefully observe the situation and identify the solution using the tips and tricks that follows addition. Let us understand how to solve addition word problems with the help of an interesting example.

Example: A soccer match had 4535 spectators in the first row and 2332 spectators in the second row. Using the concept of addition find the total number of spectators present in the match.

The number of spectators in the first row = 4535; the number of spectators in the second row = 2332. We can get the total number of spectators if we add the given number of spectators in the two rows. Here 4535 and 2332 are the addends. Let us find the total number of spectators by adding these two numbers using the following steps.

Therefore, the total number of spectators present in the match = 6867

Here are a few tips and tricks that you can follow while performing addition in your everyday life.

Tips and Tricks on Addition

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Addition Examples

Example 1: 8 bees set off to suck nectar from the flowers. Soon 7 more joined them. Use addition to find the total number of bees who went together to suck nectar.

Number of bees who set off to suck nectar = 8

Number of bees who joined them = 7

Therefore, on performing addition, the total number of bees who went together were: 8 + 7= 15.

Answer: 15 bees

Example 2: Using addition tricks, solve the following addition word problem.

Jerry collected 89 seashells and Eva collected 54 shells. How many seashells did they collect in all?

Number of shells collected by Jerry = 89

Number of shells collected by Eva = 54

Therefore, the total number of sea shells collected by both of them = 89 + 54 = 143

Answer: 143 seashells

Example 3: During an annual Easter egg hunt, the participants found 2403 eggs in the clubhouse, 50 easter eggs in the park, and 12 easter eggs in the town hall. Can you find out how many eggs were found in that day's hunt using the concept of addition?

Number of easter eggs found in the Clubhouse = 2403

Number of easter eggs found in the park = 50

Number of easter eggs found in the Town Hall = 12

We write the numbers into columns according to their place values of ones, tens, hundreds, thousands and then add them:

Answer: Therefore, the total number of eggs found in that day's hunt is 2465.

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Practice Questions on Addition

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FAQs on Addition

What is addition in math.

Addition is the process of adding two or more numbers together to get their sum. Addition in math is a primary arithmetic operation, used for calculating the total of two or more numbers. For example, 7 + 6 = 13.

Where do we use Addition?

We use addition in our everyday situations. For example, if we want to know how much money we spent on the items we bought, or we want to calculate the time we would take to finish a task, or we want to know the number of ingredients used in cooking something, we need to perform the addition operation.

What are the Types of Addition?

The types of addition mean the various methods used in addition. For example, vertical addition, addition using number charts, the addition of small numbers using your fingers, addition using number line, and so on.

What are Addition Strategies?

Addition strategies are the different ways in which addition can be learned. For example, using a number line, with the help of a place value chart, separating the tens and ones and then adding them separately, and many others.

What are the Real-Life Examples of Addition?

There are many addition examples that we come across in our day-to-day lives. Suppose you have 5 apples, and your friend gave you 3 more, after adding 5 + 3, we get 8. So, you have 8 apples altogether. Similarly, suppose there are 16 girls and 13 boys in a class, if we add the numbers 16 + 13, we get the total number of students in the class, which is 29.

What are the Properties of Addition?

The basic properties of addition are given below. Each property has its individual significance based on addition.

What are the Parts of Addition?

The different parts of addition are given below. Let us understand these parts with the help of an example. For example, let us take 4 + 7 + 2 = 13

What is the Identity Property of Addition?

According to the identity property of addition, if 0 is added to any number, the resultant sum is always the actual number. For example, 0 + 16 = 16.

What is the Difference Between Addition and Subtraction?

Addition is a math operation in which we add the numbers together to get their sum. It is denoted by the addition symbol (+). For example, on adding 5 and 7 we get 12. This is represented as, 5 + 7 = 12. Subtraction is the arithmetic operation of calculating the difference between two numbers. It is denoted by the subtraction symbol (-). For example, if we subtract 8 from 19, we get 11. This is represented as 19 - 8 = 11.

How to Write an Addition Sentence?

An addition sentence is the way in which addition is expressed as a mathematical expression. An addition sentence consists of 2 or more values that are written together with the addition symbol (+) in between them and an equal sign (=) at the end just before the sum. For example, if we want to add 2, 4, and 5 we write the addition sentence as, 2 + 4 + 5 = 11, where, 2, 4 and 5 are called the addends and 11 is the sum.

How to do Addition with Regrouping?

Addition with regrouping happens when we carry over the extra digit to the next column. When we add numbers, and we get a sum which is greater than 9 in any of the columns, we regroup this sum into tens and ones. Then we carry over the tens digit of the sum to the preceding column and write the ones digit of the sum in that particular column. In other words, we write only the number in 'ones place digit' in that particular column, while we take the 'tens place digit' to the column to the immediate left. A detailed example of addition with regrouping is given above on this page.

From our blog

120 Math Word Problems To Challenge Students Grades 1 to 8

Engage and motivate your students with our adaptive, game-based learning platform!

You sit at your desk, ready to put a math quiz, test or activity together. The questions flow onto the document until you hit a section for word problems.

A jolt of creativity would help. But it doesn’t come.

Whether you’re a 3rd grade teacher or an 8th grade teacher preparing students for high school, translating math concepts into real world examples can certainly be a challenge.

This resource is your jolt of creativity. It provides examples and templates of math word problems for 1st to 8th grade classes.

There are 120 examples in total.

The list of examples is supplemented by tips to create engaging and challenging math word problems.

120 Math word problems, categorized by skill

Addition word problems.

$A teacher is teaching three students with a whiteboard happily.$

Best for: 1st grade, 2nd grade

1. Adding to 10: Ariel was playing basketball. 1 of her shots went in the hoop. 2 of her shots did not go in the hoop. How many shots were there in total?

2. Adding to 20: Adrianna has 10 pieces of gum to share with her friends. There wasn’t enough gum for all her friends, so she went to the store to get 3 more pieces of gum. How many pieces of gum does Adrianna have now?

3. Adding to 100: Adrianna has 10 pieces of gum to share with her friends. There wasn’t enough gum for all her friends, so she went to the store and got 70 pieces of strawberry gum and 10 pieces of bubble gum. How many pieces of gum does Adrianna have now?

4. Adding Slightly over 100: The restaurant has 175 normal chairs and 20 chairs for babies. How many chairs does the restaurant have in total?

5. Adding to 1,000: How many cookies did you sell if you sold 320 chocolate cookies and 270 vanilla cookies?

6. Adding to and over 10,000: The hobby store normally sells 10,576 trading cards per month. In June, the hobby store sold 15,498 more trading cards than normal. In total, how many trading cards did the hobby store sell in June?

7. Adding 3 Numbers: Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?

8. Adding 3 Numbers to and over 100: Ashley bought a big bag of candy. The bag had 102 blue candies, 100 red candies and 94 green candies. How many candies were there in total?

Subtraction word problems

Best for: 1st grade, second grade

9. Subtracting to 10: There were 3 pizzas in total at the pizza shop. A customer bought 1 pizza. How many pizzas are left?

10. Subtracting to 20: Your friend said she had 11 stickers. When you helped her clean her desk, she only had a total of 10 stickers. How many stickers are missing?

11. Subtracting to 100: Adrianna has 100 pieces of gum to share with her friends. When she went to the park, she shared 10 pieces of strawberry gum. When she left the park, Adrianna shared another 10 pieces of bubble gum. How many pieces of gum does Adrianna have now?

$A glimpse of the Prodigy Math Game world and a sample math question a kid could receive while playing.$

Practice math word problems with Prodigy Math

Join millions of teachers using Prodigy to make learning fun and differentiate instruction as they answer in-game questions, including math word problems from 1st to 8th grade!

12. Subtracting Slightly over 100: Your team scored a total of 123 points. 67 points were scored in the first half. How many were scored in the second half?

13. Subtracting to 1,000: Nathan has a big ant farm. He decided to sell some of his ants. He started with 965 ants. He sold 213. How many ants does he have now?

14. Subtracting to and over 10,000: The hobby store normally sells 10,576 trading cards per month. In July, the hobby store sold a total of 20,777 trading cards. How many more trading cards did the hobby store sell in July compared with a normal month?

15. Subtracting 3 Numbers: Charlene had a pack of 35 pencil crayons. She gave 6 to her friend Theresa. She gave 3 to her friend Mandy. How many pencil crayons does Charlene have left?

16. Subtracting 3 Numbers to and over 100: Ashley bought a big bag of candy to share with her friends. In total, there were 296 candies. She gave 105 candies to Marissa. She also gave 86 candies to Kayla. How many candies were left?

Multiplication word problems

A hand holding a pen is doing calculation on a pice of papper

Best for: 2nd grade, 3rd grade

17. Multiplying 1-Digit Integers: Adrianna needs to cut a pan of brownies into pieces. She cuts 6 even columns and 3 even rows into the pan. How many brownies does she have?

18. Multiplying 2-Digit Integers: A movie theatre has 25 rows of seats with 20 seats in each row. How many seats are there in total?

19. Multiplying Integers Ending with 0: A clothing company has 4 different kinds of sweatshirts. Each year, the company makes 60,000 of each kind of sweatshirt. How many sweatshirts does the company make each year?

20. Multiplying 3 Integers: A bricklayer stacks bricks in 2 rows, with 10 bricks in each row. On top of each row, there is a stack of 6 bricks. How many bricks are there in total?

21. Multiplying 4 Integers: Cayley earns $5 an hour by delivering newspapers. She delivers newspapers 3 days each week, for 4 hours at a time. After delivering newspapers for 8 weeks, how much money will Cayley earn?

Division word problems

Best for: 3rd grade, 4th grade, 5th grade

22. Dividing 1-Digit Integers: If you have 4 pieces of candy split evenly into 2 bags, how many pieces of candy are in each bag?

23. Dividing 2-Digit Integers: If you have 80 tickets for the fair and each ride costs 5 tickets, how many rides can you go on?

24. Dividing Numbers Ending with 0: The school has $20,000 to buy new computer equipment. If each piece of equipment costs $50, how many pieces can the school buy in total?

25. Dividing 3 Integers: Melissa buys 2 packs of tennis balls for $12 in total. All together, there are 6 tennis balls. How much does 1 pack of tennis balls cost? How much does 1 tennis ball cost?

26. Interpreting Remainders: An Italian restaurant receives a shipment of 86 veal cutlets. If it takes 3 cutlets to make a dish, how many cutlets will the restaurant have left over after making as many dishes as possible?

Mixed operations word problems

A female teacher is instructing student math on a blackboard

27. Mixing Addition and Subtraction: There are 235 books in a library. On Monday, 123 books are taken out. On Tuesday, 56 books are brought back. How many books are there now?

28. Mixing Multiplication and Division: There is a group of 10 people who are ordering pizza. If each person gets 2 slices and each pizza has 4 slices, how many pizzas should they order?

29. Mixing Multiplication, Addition and Subtraction: Lana has 2 bags with 2 marbles in each bag. Markus has 2 bags with 3 marbles in each bag. How many more marbles does Markus have?

30. Mixing Division, Addition and Subtraction: Lana has 3 bags with the same amount of marbles in them, totaling 12 marbles. Markus has 3 bags with the same amount of marbles in them, totaling 18 marbles. How many more marbles does Markus have in each bag?

Ordering and number sense word problems

31. Counting to Preview Multiplication: There are 2 chalkboards in your classroom. If each chalkboard needs 2 pieces of chalk, how many pieces do you need in total?

32. Counting to Preview Division: There are 3 chalkboards in your classroom. Each chalkboard has 2 pieces of chalk. This means there are 6 pieces of chalk in total. If you take 1 piece of chalk away from each chalkboard, how many will there be in total?

33. Composing Numbers: What number is 6 tens and 10 ones?

34. Guessing Numbers: I have a 7 in the tens place. I have an even number in the ones place. I am lower than 74. What number am I?

35. Finding the Order: In the hockey game, Mitchell scored more points than William but fewer points than Auston. Who scored the most points? Who scored the fewest points?

Fractions word problems

A student is drawing on a notebook, holding a pencil.

Best for: 3rd grade, 4th grade, 5th grade, 6th grade

36. Finding Fractions of a Group: Julia went to 10 houses on her street for Halloween. 5 of the houses gave her a chocolate bar. What fraction of houses on Julia’s street gave her a chocolate bar?

37. Finding Unit Fractions: Heather is painting a portrait of her best friend, Lisa. To make it easier, she divides the portrait into 6 equal parts. What fraction represents each part of the portrait?

38. Adding Fractions with Like Denominators: Noah walks ⅓ of a kilometre to school each day. He also walks ⅓ of a kilometre to get home after school. How many kilometres does he walk in total?

39. Subtracting Fractions with Like Denominators: Last week, Whitney counted the number of juice boxes she had for school lunches. She had ⅗ of a case. This week, it’s down to ⅕ of a case. How much of the case did Whitney drink?

40. Adding Whole Numbers and Fractions with Like Denominators: At lunchtime, an ice cream parlor served 6 ¼ scoops of chocolate ice cream, 5 ¾ scoops of vanilla and 2 ¾ scoops of strawberry. How many scoops of ice cream did the parlor serve in total?

41. Subtracting Whole Numbers and Fractions with Like Denominators: For a party, Jaime had 5 ⅓ bottles of cola for her friends to drink. She drank ⅓ of a bottle herself. Her friends drank 3 ⅓. How many bottles of cola does Jaime have left?

42. Adding Fractions with Unlike Denominators: Kevin completed ½ of an assignment at school. When he was home that evening, he completed ⅚ of another assignment. How many assignments did Kevin complete?

43. Subtracting Fractions with Unlike Denominators: Packing school lunches for her kids, Patty used ⅞ of a package of ham. She also used ½ of a package of turkey. How much more ham than turkey did Patty use?

44. Multiplying Fractions: During gym class on Wednesday, the students ran for ¼ of a kilometre. On Thursday, they ran ½ as many kilometres as on Wednesday. How many kilometres did the students run on Thursday? Write your answer as a fraction.

45. Dividing Fractions: A clothing manufacturer uses ⅕ of a bottle of colour dye to make one pair of pants. The manufacturer used ⅘ of a bottle yesterday. How many pairs of pants did the manufacturer make?

46. Multiplying Fractions with Whole Numbers: Mark drank ⅚ of a carton of milk this week. Frank drank 7 times more milk than Mark. How many cartons of milk did Frank drink? Write your answer as a fraction, or as a whole or mixed number.

Decimals word problems

Best for: 4th grade, 5th grade

47. Adding Decimals: You have 2.6 grams of yogurt in your bowl and you add another spoonful of 1.3 grams. How much yogurt do you have in total?

48. Subtracting Decimals: Gemma had 25.75 grams of frosting to make a cake. She decided to use only 15.5 grams of the frosting. How much frosting does Gemma have left?

49. Multiplying Decimals with Whole Numbers: Marshall walks a total of 0.9 kilometres to and from school each day. After 4 days, how many kilometres will he have walked?

50. Dividing Decimals by Whole Numbers: To make the Leaning Tower of Pisa from spaghetti, Mrs. Robinson bought 2.5 kilograms of spaghetti. Her students were able to make 10 leaning towers in total. How many kilograms of spaghetti does it take to make 1 leaning tower?

51. Mixing Addition and Subtraction of Decimals: Rocco has 1.5 litres of orange soda and 2.25 litres of grape soda in his fridge. Antonio has 1.15 litres of orange soda and 0.62 litres of grape soda. How much more soda does Rocco have than Angelo?

52. Mixing Multiplication and Division of Decimals: 4 days a week, Laura practices martial arts for 1.5 hours. Considering a week is 7 days, what is her average practice time per day each week?

Comparing and sequencing word problems

Four students are sitting together and discussing math questions

Best for: Kindergarten, 1st grade, 2nd grade

53. Comparing 1-Digit Integers: You have 3 apples and your friend has 5 apples. Who has more?

54. Comparing 2-Digit Integers: You have 50 candies and your friend has 75 candies. Who has more?

55. Comparing Different Variables: There are 5 basketballs on the playground. There are 7 footballs on the playground. Are there more basketballs or footballs?

56. Sequencing 1-Digit Integers: Erik has 0 stickers. Every day he gets 1 more sticker. How many days until he gets 3 stickers?

57. Skip-Counting by Odd Numbers: Natalie began at 5. She skip-counted by fives. Could she have said the number 20?

58. Skip-Counting by Even Numbers: Natasha began at 0. She skip-counted by eights. Could she have said the number 36?

59. Sequencing 2-Digit Numbers: Each month, Jeremy adds the same number of cards to his baseball card collection. In January, he had 36. 48 in February. 60 in March. How many baseball cards will Jeremy have in April?

Time word problems

66. Converting Hours into Minutes: Jeremy helped his mom for 1 hour. For how many minutes was he helping her?

69. Adding Time: If you wake up at 7:00 a.m. and it takes you 1 hour and 30 minutes to get ready and walk to school, at what time will you get to school?

70. Subtracting Time: If a train departs at 2:00 p.m. and arrives at 4:00 p.m., how long were passengers on the train for?

71. Finding Start and End Times: Rebecca left her dad’s store to go home at twenty to seven in the evening. Forty minutes later, she was home. What time was it when she arrived home?

Money word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade

60. Adding Money: Thomas and Matthew are saving up money to buy a video game together. Thomas has saved $30. Matthew has saved $35. How much money have they saved up together in total?

61. Subtracting Money: Thomas has $80 saved up. He uses his money to buy a video game. The video game costs $67. How much money does he have left?

62. Multiplying Money: Tim gets $5 for delivering the paper. How much money will he have after delivering the paper 3 times?

63. Dividing Money: Robert spent $184.59 to buy 3 hockey sticks. If each hockey stick was the same price, how much did 1 cost?

64. Adding Money with Decimals: You went to the store and bought gum for $1.25 and a sucker for $0.50. How much was your total?

65. Subtracting Money with Decimals: You went to the store with $5.50. You bought gum for $1.25, a chocolate bar for $1.15 and a sucker for $0.50. How much money do you have left?

67. Applying Proportional Relationships to Money: Jakob wants to invite 20 friends to his birthday, which will cost his parents $250. If he decides to invite 15 friends instead, how much money will it cost his parents? Assume the relationship is directly proportional.

68. Applying Percentages to Money: Retta put $100.00 in a bank account that gains 20% interest annually. How much interest will be accumulated in 1 year? And if she makes no withdrawals, how much money will be in the account after 1 year?

Physical measurement word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade

72. Comparing Measurements: Cassandra’s ruler is 22 centimetres long. April’s ruler is 30 centimetres long. How many centimetres longer is April’s ruler?

73. Contextualizing Measurements: Picture a school bus. Which unit of measurement would best describe the length of the bus? Centimetres, metres or kilometres?

74. Adding Measurements: Micha’s dad wants to try to save money on gas, so he has been tracking how much he uses. Last year, Micha’s dad used 100 litres of gas. This year, her dad used 90 litres of gas. How much gas did he use in total for the two years?

75. Subtracting Measurements: Micha’s dad wants to try to save money on gas, so he has been tracking how much he uses. Over the past two years, Micha’s dad used 200 litres of gas. This year, he used 100 litres of gas. How much gas did he use last year?

A tablet showing an example of Prodigy Math's battle gameplay.

76. Multiplying Volume and Mass: Kiera wants to make sure she has strong bones, so she drinks 2 litres of milk every week. After 3 weeks, how many litres of milk will Kiera drink?

77. Dividing Volume and Mass: Lillian is doing some gardening, so she bought 1 kilogram of soil. She wants to spread the soil evenly between her 2 plants. How much will each plant get?

78. Converting Mass: Inger goes to the grocery store and buys 3 squashes that each weigh 500 grams. How many kilograms of squash did Inger buy?

79. Converting Volume: Shad has a lemonade stand and sold 20 cups of lemonade. Each cup was 500 millilitres. How many litres did Shad sell in total?

80. Converting Length: Stacy and Milda are comparing their heights. Stacy is 1.5 meters tall. Milda is 10 centimetres taller than Stacy. What is Milda’s height in centimetres?

81. Understanding Distance and Direction: A bus leaves the school to take students on a field trip. The bus travels 10 kilometres south, 10 kilometres west, another 5 kilometres south and 15 kilometres north. To return to the school, in which direction does the bus have to travel? How many kilometres must it travel in that direction?

Ratios and percentages word problems

Best for: 4th grade, 5th grade, 6th grade

82. Finding a Missing Number: The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. Jenny has 28 trophies. How many does Meredith have?

83. Finding Missing Numbers: The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. The difference between the numbers is 12. What are the numbers?

84. Comparing Ratios: The school’s junior band has 10 saxophone players and 20 trumpet players. The school’s senior band has 18 saxophone players and 29 trumpet players. Which band has the higher ratio of trumpet to saxophone players?

85. Determining Percentages: Mary surveyed students in her school to find out what their favourite sports were. Out of 1,200 students, 455 said hockey was their favourite sport. What percentage of students said hockey was their favourite sport?

86. Determining Percent of Change: A decade ago, Oakville’s population was 67,624 people. Now, it is 190% larger. What is Oakville’s current population?

87. Determining Percents of Numbers: At the ice skate rental stand, 60% of 120 skates are for boys. If the rest of the skates are for girls, how many are there?

88. Calculating Averages: For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?

Probability and data relationships word problems

$Two students are calculating on a whiteboard$

Best for: 4th grade, 5th grade, 6th grade, 7th grade

89. Understanding the Premise of Probability: John wants to know his class’s favourite TV show, so he surveys all of the boys. Will the sample be representative or biased?

90. Understanding Tangible Probability: The faces on a fair number die are labelled 1, 2, 3, 4, 5 and 6. You roll the die 12 times. How many times should you expect to roll a 1?

91. Exploring Complementary Events: The numbers 1 to 50 are in a hat. If the probability of drawing an even number is 25/50, what is the probability of NOT drawing an even number? Express this probability as a fraction.

92. Exploring Experimental Probability: A pizza shop has recently sold 15 pizzas. 5 of those pizzas were pepperoni. Answering with a fraction, what is the experimental probability that he next pizza will be pepperoni?

93. Introducing Data Relationships: Maurita and Felice each take 4 tests. Here are the results of Maurita’s 4 tests: 4, 4, 4, 4. Here are the results for 3 of Felice’s 4 tests: 3, 3, 3. If Maurita’s mean for the 4 tests is 1 point higher than Felice’s, what’s the score of Felice’s 4th test?

94. Introducing Proportional Relationships: Store A is selling 7 pounds of bananas for $7.00. Store B is selling 3 pounds of bananas for $6.00. Which store has the better deal?

95. Writing Equations for Proportional Relationships: Lionel loves soccer, but has trouble motivating himself to practice. So, he incentivizes himself through video games. There is a proportional relationship between the amount of drills Lionel completes, in x , and for how many hours he plays video games, in y . When Lionel completes 10 drills, he plays video games for 30 minutes. Write the equation for the relationship between x and y .

Geometry word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade, 8th grade

96. Introducing Perimeter: The theatre has 4 chairs in a row. There are 5 rows. Using rows as your unit of measurement, what is the perimeter?

97. Introducing Area: The theatre has 4 chairs in a row. There are 5 rows. How many chairs are there in total?

98. Introducing Volume: Aaron wants to know how much candy his container can hold. The container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. What is the container’s volume?

99. Understanding 2D Shapes: Kevin draws a shape with 4 equal sides. What shape did he draw?

100. Finding the Perimeter of 2D Shapes: Mitchell wrote his homework questions on a piece of square paper. Each side of the paper is 8 centimetres. What is the perimeter?

101. Determining the Area of 2D Shapes: A single trading card is 9 centimetres long by 6 centimetres wide. What is its area?

102. Understanding 3D Shapes: Martha draws a shape that has 6 square faces. What shape did she draw?

103. Determining the Surface Area of 3D Shapes: What is the surface area of a cube that has a width of 2cm, height of 2 cm and length of 2 cm?

104. Determining the Volume of 3D Shapes: Aaron’s candy container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. Bruce’s container is 25 centimetres tall, 9 centimetres long and 9 centimetres wide. Find the volume of each container. Based on volume, whose container can hold more candy?

105. Identifying Right-Angled Triangles: A triangle has the following side lengths: 3 cm, 4 cm and 5 cm. Is this triangle a right-angled triangle?

106. Identifying Equilateral Triangles: A triangle has the following side lengths: 4 cm, 4 cm and 4 cm. What kind of triangle is it?

107. Identifying Isosceles Triangles: A triangle has the following side lengths: 4 cm, 5 cm and 5 cm. What kind of triangle is it?

108. Identifying Scalene Triangles: A triangle has the following side lengths: 4 cm, 5 cm and 6 cm. What kind of triangle is it?

109. Finding the Perimeter of Triangles: Luigi built a tent in the shape of an equilateral triangle. The perimeter is 21 metres. What is the length of each of the tent’s sides?

110. Determining the Area of Triangles: What is the area of a triangle with a base of 2 units and a height of 3 units?

111. Applying Pythagorean Theorem: A right triangle has one non-hypotenuse side length of 3 inches and the hypotenuse measures 5 inches. What is the length of the other non-hypotenuse side?

112. Finding a Circle’s Diameter: Jasmin bought a new round backpack. Its area is 370 square centimetres. What is the round backpack’s diameter?

113. Finding a Circle's Area: Captain America’s circular shield has a diameter of 76.2 centimetres. What is the area of his shield?

114. Finding a Circle’s Radius: Skylar lives on a farm, where his dad keeps a circular corn maze. The corn maze has a diameter of 2 kilometres. What is the maze’s radius?

Variables word problems

$A hand is calculating math problem on a blacboard$

Best for: 6th grade, 7th grade, 8th grade

115. Identifying Independent and Dependent Variables: Victoria is baking muffins for her class. The number of muffins she makes is based on how many classmates she has. For this equation, m is the number of muffins and c is the number of classmates. Which variable is independent and which variable is dependent?

116. Writing Variable Expressions for Addition: Last soccer season, Trish scored g goals. Alexa scored 4 more goals than Trish. Write an expression that shows how many goals Alexa scored.

117. Writing Variable Expressions for Subtraction: Elizabeth eats a healthy, balanced breakfast b times a week. Madison sometimes skips breakfast. In total, Madison eats 3 fewer breakfasts a week than Elizabeth. Write an expression that shows how many times a week Madison eats breakfast.

118. Writing Variable Expressions for Multiplication: Last hockey season, Jack scored g goals. Patrik scored twice as many goals than Jack. Write an expression that shows how many goals Patrik scored.

119. Writing Variable Expressions for Division: Amanda has c chocolate bars. She wants to distribute the chocolate bars evenly among 3 friends. Write an expression that shows how many chocolate bars 1 of her friends will receive.

120. Solving Two-Variable Equations: This equation shows how the amount Lucas earns from his after-school job depends on how many hours he works: e = 12h . The variable h represents how many hours he works. The variable e represents how much money he earns. How much money will Lucas earn after working for 6 hours?

How to easily make your own math word problems & word problems worksheets

Two teachers are discussing math with a pen and a notebook

Armed with 120 examples to spark ideas, making your own math word problems can engage your students and ensure alignment with lessons. Do:

A key to differentiated instruction , word problems that students can relate to and contextualize will capture interest more than generic and abstract ones.

Final thoughts about math word problems

You’ll likely get the most out of this resource by using the problems as templates, slightly modifying them by applying the above tips. In doing so, they’ll be more relevant to -- and engaging for -- your students.

Regardless, having 120 curriculum-aligned math word problems at your fingertips should help you deliver skill-building challenges and thought-provoking assessments.

The result?

A greater understanding of how your students process content and demonstrate understanding, informing your ongoing teaching approach.

$SplashLearn$

Addition Property of Equality: Definition, Formula, Examples

What is the addition property of equality, addition property of equality formula, verification of addition property of equality, solved examples for addition property of equality, practice problems on addition property of equality, frequently asked questions on addition property of equality.

The addition property of equality is an important concept for solving algebraic equations. In algebra, an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, $5 \times 2 = 10$ is an equation, in which $5 \times 2$ and 10 are two expressions separated by an “equal $(=)$” sign. Think of an equation like a balanced weighing scale. The left side and the right side should be equal for it to be balanced.

$A visual representation of equation$

Now, to keep the scale balanced, if any mathematical operation is applied on one side of an equation, then it must be applied on the other side of an equation as well. This is called the property of equality.

The properties that do not impact the equality in an equation are called the properties of equality . There are many properties of equality but in this article, we will learn about “the addition property of equality.”

Addition Property of Equality Definition

The addition property of equality states that if the same number or value is added to both sides of an equation, then the equality still holds true after addition. Adding the same number on both sides of an equation does not affect the equality.

We can again consider the real-life example of the weighing scale. Suppose that initially there are 5 coins on both sides which balances the scale. (Observe the image on the left.)

If we add 5 more coins to one of the scales, then to keep the scales balanced, we must add 5 coins to the other scale as well. So, we will have 10 coins each on both sides of the balance. (Observe the image on the right.)

$Addition property of equality: visual example$

Related Games

Consider an equation $x = y$, where x and y are real numbers.

If a real number “ c ” is added to x , the left-hand side (L.H.S.) of the equation, then we must add “ c ” to y , the right-hand side (R.H.S.) of the equation. So, the formula is given by,

If $x = y$ , then $x + c = y + c$

Thus, the addition property of equality states that the equality holds or the equation is balanced if the same number is added to both sides of the equation.

Related Worksheets

$1 and 2 more within 10: Horizontal Addition Worksheet$

We know the addition property of equality, so we will verify it by taking a few examples.

Arithmetically, we know that $13 + 9 = 22$.

Now, if we add 7 to both sides of the equation, we have

L.H.S $= 13 + 9 + 7 = 29$

R.H.S $= 22 +7 = 22$

L.H.S $=$ R.H.S

It implies that when the same number is added to both sides of an equation, the equality still holds or the equation is balanced.

Addition Property of Equality for Fractions

The addition property of equality can also be applied to equations including fractions.

Consider an equation $\frac{a}{b} = \frac{p}{q}$, where $b,\; q \neq 0$ and $a,\; b,\; p,\; q$ are real numbers.

If we add the same fraction cd to both sides of the equation, the equation will stay balanced. Thus, we have

$\frac{a}{b} = \frac{p}{q}$

$\Rightarrow \frac{a}{b} + \frac{c}{d} = \frac{p}{q} + \frac{c}{d}$

The addition property in geometry (where side-lengths, angle measures, etc., are part of an equation) works the same way as it does in algebra.

In this article, we learned about the addition property of equality. The addition property of equality states that if we add the same number on both sides of an equation, then the equation remains balanced. Let’s solve a few examples of addition property of equality to understand the concept better!

1. Let k be a real number such that $k\;-\;5 = 15$ . Use the addition property of equality to find the value of k .

Solution: $k\;-\;5 = 15$

The addition property of equality states that we should add the same number to both sides of an equation.

To solve for k , we need to isolate the variable (keep only k on the left side and move the other terms on the right side). Add 5 to the left side of the equation.

$k\;-\;5 + 5 = 15 + 5$

2. Martha has 7 marbles in each hand. Her best friend gave her 6 more marbles. Explain how she can balance the number of stickers in each hand.

Solution: Initially, Martha is holding 7 marbles in both hands.

She gets 6 more marbles. As 6 is an even number, she can divide the 6 marbles in two groups of 3. Now, she can hold 3 more marbles in each hand.

$7 + 3 = 7 + 3$

3. If x , y , and z are real numbers such that $y = z$ and $z = 7 \;-\; x$ , then using the addition property of equality show that $x + y = 7$ .

Solution: It is given that $y = z$ and $z = 7\;-\;x$

$z = 7\;-\;x$

Add x to both sides, we get

$z + x = 7\;-\;x + x$

$z + x = 7$

Since $y = z$

$y + x = 7$

4. Using the addition property of equality, find the value of x in the equation $2x \;-\; 3 = 6$ .

Solution: The given equation is $2x \;-\; 3 = 6$

Add 3 to both sides, we get

$2x \;-\; 3 + 3 = 6 + 3$

Divide both sides by 2, we get

$x = \frac{9}{2}$

Addition Property of Equality: Definition with Examples

Attend this quiz & Test your knowledge.

There are two packets of flour of the same weight. If 15 ounces of flour is added to each bag, what will be the equation of the new weights of the packets?

If $p\;-\;8 = q\;-\;8$, then choose the correct option:, for the equation, $a\;-\; \frac{2}{3} = \frac{3}{4}$, find the value of a., the addition property of equality is given by the formula:, find the value of x for the algebraic equation $x \;-\; 22 = \;-27$..

Can the number that we add to both sides be 0 in the addition property of equality?

Yes, the number that we add to both sides can be 0. Note that adding 0 to any number results in the number itself.

What is the difference between the addition property of equality and the subtraction property of equality?

The addition property of equality is the property that states that if a value is added to two equal quantities, then the sums are also equal, i.e., if $x = y$, then $x + c = y + c$.The subtraction property of equality is the property that states that if a value is subtracted from two equal quantities, then the differences are also equal i.e. if $x = y$, then $x\;-\;c = y\;-\;c$.

What is the addition property of inequality?

The addition property of inequality states that if the same number is added to both sides of any given inequality, then the inequality remains the same.

Can the number that we add to both sides be negative in the addition property of equality?

Yes, the number which we add to both sides can be negative.

What are the applications of the addition property of equality?

We can simplify, balance, and solve equations using the addition property of equality. It also helps in simplifying complex algebraic expressions.

How to solve the addition property of equality with fractions?

We can also apply the addition property of equality to fractions. Adding the same fractions on both sides of an equation maintains the equality.

Example: $x \;-\; \frac{1}{2} = \frac{3}{2}$

Thus, $x \;-\; \frac{1}{2} + \frac{1}{2} = 1 + \frac{1}{2}$

$x = \frac{3}{2}$

Math Word Problems

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

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

Most Popular Math Word Problems this Week

$Easy Multi-Step Word Problems$