Word Problems Calculator
Solve word problems step by step.

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Number line.

- \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe?}
- \mathrm{Kira\:went\:for\:a\:drive\:in\:her\:new\:car.\:She\:drove\:for\:142.5\:miles\:at\:a\:speed\:of\:57\:mph.\:For\:how\:many\:hours\:did\:she\:drive?}
- \mathrm{Bob's\:age\:is\:twice\:that\:of\:Barry's.\:Five\:years\:ago,\:Bob\:was\:three\:times\:older\:than\:Barry.\:Find\:the\:age\:of\:both.}
- \mathrm{Two\:men\:who\:are\:traveling\:in\:opposite\:directions\:at\:the\:rate\:of\:18\:and\:22\:mph\:respectively\:started\:at\:the\:same\:time\:at\:the\:same\:place.\:In\:how\:many\:hours\:will\:they\:be\:250\:apart?}
- \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}
Frequently Asked Questions (FAQ)
How do you solve word problems.
- To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer.
How do you identify word problems in math?
- Word problems in math can be identified by the use of language that describes a situation or scenario. Word problems often use words and phrases which indicate that performing calculations is needed to find a solution. Additionally, word problems will often include specific information such as numbers, measurements, and units that needed to be used to solve the problem.
Is there a calculator that can solve word problems?
- Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems.
What is an age problem?
- An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. These problems often use phrases such as "x years ago," "in y years," or "y years later," which indicate that the problem is related to time and age.
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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:
- Question : Understand what the question is asking. What operation or operations do you need to use to solve this question? Ask for help to understand the question if you can't do it on your own.
- Estimate : Use an estimation strategy, so you can check your answer for reasonableness in the evaluate step. Try underestimating and overestimating, so you know what range the answer is supposed to be in. Be flexible in rounding numbers if it will make your estimate easier.
- Strategize : Choose a strategy to solve the problem. Will you use mental math, manipulatives, or pencil and paper? Use a strategy that works for you. Save the calculator until the evaluate stage.
- Calculate : Use your strategy to solve the problem.
- Evaluate : Compare your answer to your estimate. If you under and overestimated, is the answer in the correct range. If you rounded up or down, does the answer make sense (e.g. is it a little less or a little more than the estimate). Also check with a calculator.
Most Popular Math Word Problems this Week

Various Word Problems
Various word problems for students who have mastered basic arithmetic and need a further challenge.
Addition word problems

Subtraction word problems

Multiplication word problems

Division word problems

Multi-Step word problems

Copyright © 2005-2023 Math-Drills.com You may use the math worksheets on this website according to our Terms of Use to help students learn math.
WORD PROBLEMS INVOLVING OPERATIONS OF WHOLE NUMBERS WORKSHEET
Problem 1 :
What number must be increased by 374 to get 832?
Problem 2 :
What number must be decreased by 674 to get 3705?
Problem 3 :
Mount Cook in New Zealand is 3765 m above sea level, whereas Mount Manaslu in Nepal is 8163 m high. How much higher is Mount Manaslu than Mount Cook.
Problem 4 :
What must I multiply $25 by to get $1375?
Problem 5 :
What answer would I get if I start with 69 and add on 8, 31 times?
Problem 6 :
I planted 400 rows of cabbages and each row contained 250 plants. How many cabbages were planted altogether?
Problem 7 :
All rooms of a motel cost $78 per day to rent. The motel has 6 floors and 37 rooms per floor. What is the total rental received per day if the motel is fully occupied?
Problem 8 :
How many 38-seat buses are needed to transport 646 students to the athletics stadium?
Problem 9 :
A class contains 14 boys and 15 girls. If each student is given 13 pencils, how many pencils are given out altogether?
Problem 10 :
If a baker sells 24 dozen rolls at 15 cents each, how much money does he receive?
Problem 11 :
What number must be increased by 293 to get 648?
Problem 12 :
Find the difference between 108 and 19.
Problem 13 :
A woman has $255 in her purse. She gives $35 to each of her five children. How much money does she have left?
Problem 14 :
The Year 8 students at a school are split into 4 equal classes of 27 students. The school decides to increase the number of classes to 6. How many students will there be in each of the new classes if the students are divided equally between them?
Problem 15 :
My bank account contains $3621 and I make monthly withdrawals of $78 for 12 months. What is my new bank balance.
Problem 16 :
A contractor bought 34 loads of soil, each weighing 12 tonnes. If the soil cost $23 per tonne, what was the total cost ?

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Word Problems Beyond Whole Numbers: Solving the Problem of Problem Solving
Tuesday, december 6, 2022 @ 4:00 pm - 5:00 pm est.

Presented by Sara Delano Moore, Ph.D., Vice President, Content and Research, ORIGO Education
Sponsored by ORIGO Education
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Learn more about viewing the live presentation and the recording, earning your CE certificate, and using our new accessibility features.
Problem solving is an overarching goal of mathematics instruction and a perpetual challenge for teachers. Children are incredible problem solvers, especially when solving practical problems with personal relevance. Why then do these skills almost seem to vanish when students face word problems in math class? Through deliberate work with mathematical language and thoughtful exploration of the written problem prior to computing, teachers can support students towards greater success with word problems and problem solving in general.
Once students understand the work of the four operations with whole numbers, how can we support them to generalize and extend this understanding to problems involving fractions and decimals? In this fourth edWebinar of our four-part series, Sara Delano Moore, Ph.D. discusses strategies for helping students connect their existing knowledge to the new contexts and situations available when rational numbers and integers are considered. You leave the session with practical strategies for supporting students to recognize operations with their ever-expanding knowledge of number. Watch this edWebinar to build your toolbox for student success with word problems.
This recorded edWebinar is of interest to teachers and school and district leaders of the elementary grades.
Part 1: Getting Started with Word Problems, Reading, and Language: Solving the Problem of Problem Solving Part 2: Making Sense of Addition and Subtraction Word Problems: Solving the Problem of Problem Solving Part 3: Making Sense of Multiplication and Division Word Problems: Solving the Problem of Problem Solving

Sara Delano Moore, Ph.D. helps teachers and students understand mathematics as a coherent and connected discipline. She currently serves ORIGO Education as Vice President of Research and Content and Chair of ORIGO’s Mathematics Advisory Board. An experienced teacher and nationally recognized speaker, her work emphasizes the power of deep understanding and multiple representations for learning. Sara’s interests include building conceptual understanding of mathematics to support procedural fluency and applications, incorporating engaging literature into mathematics and science instruction, and connecting mathematics to engineering design in meaningful ways. She is a fourth-generation educator with experience teaching mathematics and science to K-8 students as well as experience teaching pre-service and in-service teachers at the university level.
Sara is an author of the Visible Learning for Mathematics series, the Mathematize It series, and the Mastering Math Manipulatives series of books for Corwin Mathematics. She earned her B.A. in natural sciences from The Johns Hopkins University, her M.S. in general linguistics and comparative philology from the University of Oxford (UK), and her Ph.D. in educational psychology from the University of Virginia. Prior to joining ORIGO, Sara served as faculty at the University of Kentucky, Director of the Kentucky Center for Middle School Academic Achievement, and Director of Mathematics and Science at hand2mind. She lives in Kent, Ohio with her husband, two cats, and a large stash of yarn and fabric.
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How To : Solve word problems involving the addition of whole numbers

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to unpack and solve problems requiring you to add whole numbers.
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Common Core: 5th Grade Math : Solve Word Problems Involving Division of Whole Numbers Leading to Answers in the Form of Fractions or Mixed Numbers: CCSS.Math.Content.5.NF.B.3
Study concepts, example questions & explanations for common core: 5th grade math, all common core: 5th grade math resources, example questions, example question #1 : solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers: ccss.math.content.5.nf.b.3.
If you bake 374 cookies for your class of 50 people, how many cookies does each student get?
Between 6 and 7 cookies
Between 9 and 10 cookies
Between 8 and 9 cookies
Between 7 and 8 cookies
Between 10 and 11 cookies
Example Question #2 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3
We can think of this problem as an improper fraction and solve for the mixed number.
Example Question #3 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3
Example Question #4 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3
Example Question #5 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3
Example Question #51 : How To Divide Fractions
Example Question #7 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3
Example Question #8 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3
Example Question #9 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3
Example Question #52 : How To Divide Fractions
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Math Word Problem Worksheets
Read, explore, and solve over 1000 math word problems based on addition, subtraction, multiplication, division, fraction, decimal, ratio and more. These word problems help children hone their reading and analytical skills; understand the real-life application of math operations and other math topics. Print our exclusive colorful theme-based worksheets for a fun-filled teaching experience! Use the answer key provided below each worksheet to assist children in verifying their solutions.
List of Word Problem Worksheets
Explore the word problem worksheets in detail.
Addition Word Problems
Have 'total' fun by adding up a wide range of addends displayed in these worksheets! Simple real-life scenarios form the basis of these addition word problem worksheets.
Subtraction Word Problems
Learning can be a huge 'take away'! Find the difference between the numbers provided in each subtraction word problem. Large number subtraction up to six-digits can also be found here.
Addition and Subtraction Word Problems
Bring on 'A' game with our addition and subtraction word problems! Read, analyze, and solve real-life scenarios based on adding and subtracting numbers as required.
Multiplication Word Problems
Get 'product'ive with over 100 highly engaging multiplication word problems! Find the product and use the answer key to verify your solution. Free worksheets are also available.
Division Word Problems
"Divide and conquer" this huge collection of division word problems. Exclusive worksheets are available for the division problem leaving no remainder and with the remainder.
Fraction Word Problems
Perform various mathematical operations to solve the umpteen number of word problems based on like and unlike fractions, proper and improper fractions, and mixed numbers.
Decimal Word Problems
Let's get to the 'point'! Add, subtract, multiply, and divide to solve these decimal word problems. A wide selection of printable worksheets is available in this section. Use the answer key to verify your answers.
Ratio Word problems
Double up your success ratio with these sets of word problems, which cover a multitude of topics like express in the ratio, reducing the ratio, part-to-part ratio, part-to-whole ratio and more.
Venn Diagram Word Problems - Two Sets
Help your children improve their data analysis skills with these well-researched Venn diagram word problem worksheets. Find the union, intersection, complement and difference of two sets.
Venn Diagram Word Problems - Three Sets
These Venn diagram word problems provide ample practice in real-life application of Venn diagram involving three sets. The worksheets containing the universal set are also included.
Equation Word Problems
The printable worksheets here feature exercises consisting of one-step, two-step and multi-step equation word problems involving fractions, decimals and integers. MCQs to test the knowledge acquired have also been included.
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Multiplying fractions word problems
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Number Word Problems Worksheets and Solutions
Objective: I can solve whole number word problems.
At a football match, there were 11 820 spectators. 8 256 of the spectators were adults. Of the remaining spectators, there were 3 times as many teenagers as young children. How many teenagers were there?

Solve the following word problems. A vendor started trading with 960 mangoes. At the end of the day he divided the remaining fruits exactly into 17 piles with 12 fruits in each pile. How many mangoes did he sell during the day? A poultry farm produces 6 000 eggs in a week. They are packed into boxes with 50 eggs in each box. How many boxes are required to contain all the eggs produced in 6 weeks? In each bag there are 32 red marbles and 26 blue marbles. How many marbles altogether are there in 9 bags? 384 strawberries were divided equally into 12 bunches. Jenny bought 3 bunches. How many strawberries did Jenny buy? John collected 124 melons from his orchard. The melons were shared equally between himself and his 3 brothers. John then gives 6 melons from his share away. How many melons does John have left? A Type C packet has 24 colour pencils and a Type E packet has 36 colour pencils. Eileen bought 6 of Type C and 5 of Type E packets for her art class. What is the total number of colour pencils that Eileen bought? Ben had 22 boxes of noodles in his shop. Each box contains 18 packets of noodles. In the first month he sold 152 packets. In the second month, he sold 16 more packets than the first month. How many packets does he have left?

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Unit 3: Lesson 4
- Rational number word problem: school report
- Rational number word problem: cosmetics
- Rational number word problem: cab
- Rational number word problem: ice
- Rational number word problem: computers
- Rational number word problem: stock
- Rational number word problem: checking account
Rational number word problems
- Your answer should be
- an integer, like 6 6 6 6
- an exact decimal, like 0.75 0.75 0 . 7 5 0, point, 75
- a simplified proper fraction, like 3 / 5 3/5 3 / 5 3, slash, 5
- a simplified improper fraction, like 7 / 4 7/4 7 / 4 7, slash, 4
- a mixed number, like 1 3 / 4 1\ 3/4 1 3 / 4 1, space, 3, slash, 4

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Solving word problems by adding and subtracting fractions and mixed numbers, learn how to solve fraction word problems with examples and interactive exercises.
Example 1: Rachel rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. How many miles did she ride altogether?
Analysis: To solve this problem, we will add two fractions with like denominators.
Answer: Rachel rode her bike for three-fifths of a mile altogether.
Analysis: To solve this problem, we will subtract two fractions with unlike denominators.
Answer: Stefanie swam one-third of a lap farther in the morning.
Analysis: To solve this problem, we will add three fractions with unlike denominators. Note that the first is an improper fraction.
Answer: It took Nick three and one-fourth hours to complete his homework altogether.

Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having like denominators.
Answer: Diego and his friends ate six pizzas in all.
Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having like denominators.
Answer: The Cocozzelli family took one-half more days to drive home.
Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having unlike denominators.
Answer: The warehouse has 21 and one-half meters of tape in all.
Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having unlike denominators.
Answer: The electrician needs to cut 13 sixteenths cm of wire.
Analysis: To solve this problem, we will subtract a mixed number from a whole number.
Answer: The carpenter needs to cut four and seven-twelfths feet of wood.
Summary: In this lesson we learned how to solve word problems involving addition and subtraction of fractions and mixed numbers. We used the following skills to solve these problems:
- Add fractions with like denominators.
- Subtract fractions with like denominators.
- Find the LCD.
- Add fractions with unlike denominators.
- Subtract fractions with unlike denominators.
- Add mixed numbers with like denominators.
- Subtract mixed numbers with like denominators.
- Add mixed numbers with unlike denominators.
- Subtract mixed numbers with unlike denominators.
Directions: Subtract the mixed numbers in each exercise below. Be sure to simplify your result, if necessary. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.
Note: To write the fraction three-fourths, enter 3/4 into the form. To write the mixed number four and two-thirds, enter 4, a space, and then 2/3 into the form.

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Part part whole word problems

$ 4.50 Multi-licenses $ 3.80
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Item description
Understanding and solving part-part-whole word problems can be challenging for your students . First graders need to read and understand word problems , represent them with an equation, and solve them .
The objective is 1 .3B Use objects and pictorial models to solve word problems involving joining, separating and comparing sets within 20 and unknowns as any one of the terms in the problem .
This collection of problems includes g reat visuals that will help you model for your students how to become successful word problem solvers !
You can use these problems in w hole group instruction , for review or small group .
This bundle includes:
➤ A PowerPoint presentation with 25 part-part-whole word problems.
➤ 2 posters to display in your classroom to help your students.
➤ Matching teacher’s problems page to be read aloud.
➤ Students’ practice pages .
Please be sure to ask me any questions about this unit before purchasing!
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Multi-step word problems with whole numbers CCSS.Math: 4.OA.A.3 Google Classroom After collecting eggs from his chickens, Dale puts the eggs into cartons to sell. Dale fills 15 15 cartons and has 7 7 eggs left over. Each carton holds 12 12 eggs. How many eggs did Dale collect? eggs Stuck? Review related articles/videos or use a hint.
Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems. What is an age problem? An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in ...
Fraction word problems. These grade 5 word problem worksheets have problems involving the division of whole numbers with fractional results, such as sharing 3 pizzas between 10 people. Some answers involve estimating. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. Worksheet #5 Worksheet #6.
SOLVING WORD PROBLEMS ON OPERATIONS OF WHOLE NUMBERS Problem 1 : What number must be increased by 374 to get 832? Solution : Let x be the required number. What must be increased by 374 to get 832 x + 374 = 832 x = 832 - 374 x = 458 Problem 2 : What number must be decreased by 674 to get 3705? Solution : Let x be the required number.
WORD PROBLEM INVOLVING OPERATIONS OF WHOLE NUMBERS Problem 1 : What number must be increased by 293 to get 648? Solution : Let x be the required number. What must be increased by 293 to get 648 x + 293 = 648 x = 648 - 293 x = 355 Problem 2 : Find the difference between 108 and 19. Solution : Mathematical operator for "difference" is "-"
Follow the steps here to solve a word problem involving division. Step 1: Determine the total number of objects that are being divided into groups. Step 2: Determine either (a) the...
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WORD PROBLEMS INVOLVING OPERATIONS OF WHOLE NUMBERS WORKSHEET Problem 1 : What number must be increased by 374 to get 832? Solution Problem 2 : What number must be decreased by 674 to get 3705? Solution Problem 3 : Mount Cook in New Zealand is 3765 m above sea level, whereas Mount Manaslu in Nepal is 8163 m high.
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Grade 5 word problems worksheets. Mixed 4 operations (addition, subtraction, multiplication, division) Estimating and rounding word problems (based on the 4 operations) Add and subtract fractions and mixed numbers (like and unlike denominators) Multiplying and dividing fractions. Mixed operations with fractions (add, subtract, multiply, divide)
Multiply fractions and whole numbers word problems Interpret multiplying fraction and whole number word problems Math > 4th grade > Multiply fractions > Multiplying whole numbers and fractions word problems Multiply fractions and whole numbers word problems CCSS.Math: 4.NF.B.4, 4.NF.B.4c Google Classroom Dina is getting a new rug for her hallway.
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Below are three versions of our grade 4 math worksheet with word problems involving the multiplication of fractions by whole numbers. students are asked to answer and interpret word problems where fractional amounts are multiplied by whole numbers. They are also asked to simplify answers if possible. These worksheets are pdf files. Worksheet #1 ...
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That's a 1/8 right over there, the whole is divided into eight equal sections. And so you can see, that when you start with that 1/4, and you divide it into two equal sections, so one section and two equal sections right over there, each of these is equal to 1/8. So 1/4 divided by two is equal to 1/8. Let's do another example.
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Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Fractions as division word problemsFractions as division 5.NF.B.4 150 questions 7 skills
Rational number word problems. CCSS.Math: 7.EE.B.3. Google Classroom. Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of \$5 $5 from each of the subscribers to his website. The website had 200 200 subscribers last month. This month 40 40 new members joined the website and 10 10 ...
Every word problem has an unknown number. In this problem, it is the price of the blouse. Always let x represent the unknown number. That is, let x answer the question. Let x, then, be how much she spent for the blouse. The problem states that "This" -- that is, $42 -- was $14 less than two times x. Here is the equation: 2 x − 14.
Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having unlike denominators. Solution: Answer: The warehouse has 21 and one-half meters of tape in all. Example 8: An electrician has three and seven-sixteenths cm of wire. He needs only two and five-eighths cm of wire for a job.
In this lesson students learn that a percent is a number out of a 100. 100% represents a whole and can be split into parts: 25%, 40%, 78%, etc. This lesson also discussed that a percent was invented for convenience in order to easier represent fractions or decimals. Therefore, percents can be converted to fractions and decimals.
Item description. Understanding and solving part-part-whole word problems can be challenging for your students.First graders need to read and understand word problems, represent them with an equation, and solve them.. The objective is 1.3B Use objects and pictorial models to solve word problems involving joining, separating and comparing sets within 20 and unknowns as any one of the terms in ...
Included are 32 game cards and a game board to help students practice solving one and two-step problems using data presented in line plots with whole, half, and quarter units. This game works great as a pair/group activity, or for use in math centers!This game was created to support the 3rd grade Common Core standard 3.MD.B.4.