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## Word Problems Calculators: (41) lessons

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## Praxis Core Math

Course: praxis core math > unit 1.

- Algebraic properties | Lesson
- Algebraic properties | Worked example
- Solution procedures | Lesson
- Solution procedures | Worked example
- Equivalent expressions | Lesson
- Equivalent expressions | Worked example
- Creating expressions and equations | Lesson
- Creating expressions and equations | Worked example

## Algebraic word problems | Lesson

- Algebraic word problems | Worked example
- Linear equations | Lesson
- Linear equations | Worked example
- Quadratic equations | Lesson
- Quadratic equations | Worked example

## What are algebraic word problems?

What skills are needed.

- Translating sentences to equations
- Solving linear equations with one variable
- Evaluating algebraic expressions
- Solving problems using Venn diagrams

## How do we solve algebraic word problems?

- Define a variable.
- Write an equation using the variable.
- Solve the equation.
- If the variable is not the answer to the word problem, use the variable to calculate the answer.

## What's a Venn diagram?

- Your answer should be
- an integer, like 6 6 6 6
- 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
- an exact decimal, like 0.75 0.75 0 . 7 5 0, point, 75
- a multiple of pi, like 12 pi 12\ \text{pi} 1 2 pi 12, space, start text, p, i, end text or 2 / 3 pi 2/3\ \text{pi} 2 / 3 pi 2, slash, 3, space, start text, p, i, end text
- (Choice A) $ 4 \$4 $ 4 dollar sign, 4 A $ 4 \$4 $ 4 dollar sign, 4
- (Choice B) $ 5 \$5 $ 5 dollar sign, 5 B $ 5 \$5 $ 5 dollar sign, 5
- (Choice C) $ 9 \$9 $ 9 dollar sign, 9 C $ 9 \$9 $ 9 dollar sign, 9
- (Choice D) $ 14 \$14 $ 1 4 dollar sign, 14 D $ 14 \$14 $ 1 4 dollar sign, 14
- (Choice E) $ 20 \$20 $ 2 0 dollar sign, 20 E $ 20 \$20 $ 2 0 dollar sign, 20
- (Choice A) 10 10 1 0 10 A 10 10 1 0 10
- (Choice B) 12 12 1 2 12 B 12 12 1 2 12
- (Choice C) 24 24 2 4 24 C 24 24 2 4 24
- (Choice D) 30 30 3 0 30 D 30 30 3 0 30
- (Choice E) 32 32 3 2 32 E 32 32 3 2 32
- (Choice A) 4 4 4 4 A 4 4 4 4
- (Choice B) 10 10 1 0 10 B 10 10 1 0 10
- (Choice C) 14 14 1 4 14 C 14 14 1 4 14
- (Choice D) 18 18 1 8 18 D 18 18 1 8 18
- (Choice E) 22 22 2 2 22 E 22 22 2 2 22

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## Math Problem Solver

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Below is a math problem solver that lets you input a wide variety of math problems and it will provide an answer. This math solver can also help solve math word problems. Math homework and studying just got a lot easier. Upgrade for unlimited math help!

## 🤖 Math Solver & Calculator

This tool combines the power of mathematical computation engine that excels at solving mathematical formulas with the power of GPT large language models to parse and generate natural language. This creates math problem solver thats more accurate than ChatGPT, more flexible than a calculator, and faster answers than a human tutor.

Learn more here .

## Problem Solver Subjects

Our online math calculator can answer a number of problems in a wide range of subjects, not just strictly math. Below is a list of the available subjects that are covered by the math word problem solver.

- Math Word Problems
- Pre-Algebra
- Geometry Graphing
- Trigonometry
- Precalculus
- Finite Math
- Linear Algebra

Here are example math problems within each subject that can be input into the calculator and solved. This list is constanstly growing as functionality is added to the calculator.

## Basic Math Solutions

Below are examples of basic math problems that can be solved.

- Long Arithmetic
- Rational Numbers
- Operations with Fractions
- Ratios, Proportions, Percents
- Measurement, Area, and Volume
- Factors, Fractions, and Exponents
- Unit Conversions
- Data Measurement and Statistics
- Points and Line Segments

## Math Word Problem Solutions

Math word problems require interpreting what is being asked and simplifying that into a basic math equation. Once you have the equation you can then enter that into the problem solver as a basic math or algebra question to be correctly solved. Below are math word problem examples and their simplified forms.

Word Problem: Rachel has 17 apples. She gives some to Sarah. Sarah now has 8 apples. How many apples did Rachel give her?

Simplified Equation: 17 - x = 8

Word Problem: Rhonda has 12 marbles more than Douglas. Douglas has 6 marbles more than Bertha. Rhonda has twice as many marbles as Bertha has. How many marbles does Douglas have?

Variables: Rhonda's marbles is represented by (r), Douglas' marbles is represented by (d) and Bertha's marbles is represented by (b)

Simplified Equation: {r = d + 12, d = b + 6, r = 2 × b}

Word Problem: if there are 40 cookies all together and Angela takes 10 and Brett takes 5 how many are left?

Simplified: 40 - 10 - 5

## Pre-Algebra Solutions

Below are examples of Pre-Algebra math problems that can be solved.

- Variables, Expressions, and Integers
- Simplifying and Evaluating Expressions
- Solving Equations
- Multi-Step Equations and Inequalities
- Ratios, Proportions, and Percents
- Linear Equations and Inequalities

## Algebra Solutions

Below are examples of Algebra math problems that can be solved.

- Algebra Concepts and Expressions
- Points, Lines, and Line Segments
- Simplifying Polynomials
- Factoring Polynomials
- Linear Equations
- Absolute Value Expressions and Equations
- Radical Expressions and Equations
- Systems of Equations
- Quadratic Equations
- Inequalities
- Complex Numbers and Vector Analysis
- Logarithmic Expressions and Equations
- Exponential Expressions and Equations
- Conic Sections
- Vector Spaces
- 3d Coordinate System
- Eigenvalues and Eigenvectors
- Linear Transformations
- Number Sets
- Analytic Geometry

## Trigonometry Solutions

Below are examples of Trigonometry math problems that can be solved.

- Algebra Concepts and Expressions Review
- Right Triangle Trigonometry
- Radian Measure and Circular Functions
- Graphing Trigonometric Functions
- Simplifying Trigonometric Expressions
- Verifying Trigonometric Identities
- Solving Trigonometric Equations
- Complex Numbers
- Analytic Geometry in Polar Coordinates
- Exponential and Logarithmic Functions
- Vector Arithmetic

## Precalculus Solutions

Below are examples of Precalculus math problems that can be solved.

- Operations on Functions
- Rational Expressions and Equations
- Polynomial and Rational Functions
- Analytic Trigonometry
- Sequences and Series
- Analytic Geometry in Rectangular Coordinates
- Limits and an Introduction to Calculus

## Calculus Solutions

Below are examples of Calculus math problems that can be solved.

- Evaluating Limits
- Derivatives
- Applications of Differentiation
- Applications of Integration
- Techniques of Integration
- Parametric Equations and Polar Coordinates
- Differential Equations

## Statistics Solutions

Below are examples of Statistics problems that can be solved.

- Algebra Review
- Average Descriptive Statistics
- Dispersion Statistics
- Probability
- Probability Distributions
- Frequency Distribution
- Normal Distributions
- t-Distributions
- Hypothesis Testing
- Estimation and Sample Size
- Correlation and Regression

## Finite Math Solutions

Below are examples of Finite Math problems that can be solved.

- Polynomials and Expressions
- Equations and Inequalities
- Linear Functions and Points
- Systems of Linear Equations
- Mathematics of Finance
- Statistical Distributions

## Linear Algebra Solutions

Below are examples of Linear Algebra math problems that can be solved.

- Introduction to Matrices
- Linear Independence and Combinations

## Chemistry Solutions

Below are examples of Chemistry problems that can be solved.

- Unit Conversion
- Atomic Structure
- Molecules and Compounds
- Chemical Equations and Reactions
- Behavior of Gases
- Solutions and Concentrations

## Physics Solutions

Below are examples of Physics math problems that can be solved.

- Static Equilibrium
- Dynamic Equilibrium
- Kinematics Equations
- Electricity
- Thermodymanics

## Geometry Graphing Solutions

Below are examples of Geometry and graphing math problems that can be solved.

- Step By Step Graphing
- Linear Equations and Functions
- Polar Equations

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## 120 Math Word Problems To Challenge Students Grades 1 to 8

## Make solving math problems fun!

With Prodigy's assessment tools, you can engage your students that adapts for your curriculum, lesson and student needs.

- Teaching Tools
- Subtraction
- Multiplication
- Mixed operations
- Ordering and number sense
- Comparing and sequencing
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- Probability and data relationships

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.

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?

## 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

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

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

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

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?

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

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

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

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

- Link to Student Interests: By framing your word problems with student interests, you’ll likely grab attention. For example, if most of your class loves American football, a measurement problem could involve the throwing distance of a famous quarterback.
- Make Questions Topical: Writing a word problem that reflects current events or issues can engage students by giving them a clear, tangible way to apply their knowledge.
- Include Student Names: Naming a question’s characters after your students is an easy way make subject matter relatable, helping them work through the problem.
- Be Explicit: Repeating keywords distills the question, helping students focus on the core problem.
- Test Reading Comprehension: Flowery word choice and long sentences can hide a question’s key elements. Instead, use concise phrasing and grade-level vocabulary.
- Focus on Similar Interests: Framing too many questions with related interests -- such as football and basketball -- can alienate or disengage some students.
- Feature Red Herrings: Including unnecessary information introduces another problem-solving element, overwhelming many elementary students.

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.

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I mean... Let's face it. Most of you tech-savvy MZ gens probably already know how by now, but it doesn't hurt to elaborate a bit, right? We tried to make this process as hassle-free as possible, so we've narrowed it down to two methods. You can use either of the two: 1. Sign in with Apple 2. Sign in with Google And use the account linked to either of the platforms. Apple and Google will take good care of you from then on.

AIR MATH is an AI-powered math homework helper app designed to fit the needs of students struggling with math homework and test prep. AIR MATH scans the photo of every submitted math problem using our authentic AI-Ed technology and will provide you with an answer to your math homework in no time! It can recognize virtually anything, from simple equations to word problems. Whether it be your school homework, test prep, or just materials for your daily studies, AIR MATH's got you covered. AIR MATH also provides a 1:1 live chat service with expert tutors who are on stand-by 24/7 to give you thorough step-by-step solutions to your math problems. Come check it out now!

AIR MATH Chrome Extension is basically the web version of AIR MATH Homework Helper! You can download the extension from the Chrome Web Store and install it on your Chrome browser. Just one click and your're done! Once you install it, you can snap and crop your math problem from the web and ask for a solution straight from the web! Logging onto your account from the web will automatically sync your math problems and solutions onto your AIR MATH mobile app as well. Linking your account onto the mobile version will enable you to use other features that are only available on the mobile as well!

HOW TO USE AIR MATH HOMEWORK HELPER (MOBILE) TO THE FULL (AIR MATH: 101) 1. Stuck on your math homework / school assignment / test prep? It’s okay to be completely clueless. 2. Grab your smartphone. 3. Take a photo of the question you’re stuck on. That’s right! Photo scan it and give it a few seconds. Our authentic AI-recognition tech will search for matching solutions in just seconds! 4. Voila! You are provided different types of solutions for your math question. Not sure which one to choose? Tap on each of the solutions and see which one best fits your needs. 5. Yikes, did you get an answer but couldn't understand why or how such a solution was given? No worries, we have expert tutors on stand-by 24/7. Ask a tutor for a step-by-step walk-through. 6. In less than 5 minutes, you will be connected to one of our expert tutors. Just hit that "Ask Expert Tutors" button and chillax. 7. You can have a 1:1 live chat session with the tutor and ask for a thorough step-by-step explanation of how to derive an answer. Easy-peasy-lemon-squeezy! 8. Oh, we know you have more problems to solve! Now, back to Step 1.

HOW TO USE AIR MATH HOMEWORK HELPER (WEB) TO THE FULL (AIR MATH: 101) 1. Fire up that laptop/desktop PC. 2. Stuck on your math homework / school assignment / test prep? It’s okay to be completely clueless. 3. First things first, go to the Chrome Web Store and download our AIR MATH Chrome extension. 4. All done? Now, go back to your geometry problem that you were stuck on, then right-click on your mouse. 5. You will see the AIR MATH extension show up on the menu. Click on it! 6. Crop the math question that you need to solve, and then click on the "Search" button that shows up. 7. Ta-da! There's your answer!

1. Prepare a math problem; any equation or word problem. Geometry? Algebra? Calculus? Just bring it on! 2. When you first open the AIR MATH app, the home screen will show you a camera screen. 3. Position your smartphone close to the problem and place the problem within the guideline, then snap! 4. Your problem wasn't scanned within the guideline? Don't you worry! After you photo scan your problem, you can adjust the guideline to crop the part that you need from the question. 5. Our AI tech will then auto-recognize the problem and come up with possible answers in seconds. It'll come up with different ways of solving the problem. Tap on each solution and choose the answer that best fits your need.

Sure thing! In order to use the photos that you already have, just give permission to use your Photo Library and you're all set! When you first enter the app, you will see the camera screen, and on the top middle part, you will see two icons; an image icon and a flash icon. Tap on the image icon on the left and you will be able to choose the pictures that you want to share from your Photo Library. Just remember, it has to be a math question or else AIR MATH Homework Helper won't recognize the picture!

For now, you can only upload one image at a time. This is because AIR MATH can recognize one problem at a time. It cannot recognize and solve multiple questions at the same time. For example, say you have a set of geometry questions that you need answers to, and you have taken photos of each question separately, then you must upload the photo one at a time. Uploading multiple math questions in one photo won't work either!

Once you take a photo and scan the problem you're having trouble with, AIR MATH will come up with possible solutions to your question. Look through each solution and see if any of it matches your need. If the solution is too difficult to understand or doesn't quite match your question, hit that "Ask Expert Tutors" button below the solutions. It may take up to five minutes before you're connected to a tutor. 1:1 live chat will be available once you're connected and you can ask the tutor if you have any questions regarding the problem. Once your tutor has given you an answer and you feel that the given solution is good enough, you can tap on the "End Chat" button to close the session. That's all there is! That wasn't so hard, was it?

Oh, so you still haven't heard? Our AIR MATH app is powered by AI and all answers are machine-learned. The math data that have been accumulated within the app enables AIR MATH to continuously evolve and develop - meaning, all answers to your math questions and problems are calculated and solved using our AI technology. Of course, the trustworthiness is guaranteed! Have faith, my friend!

A BIG YES! Our tutors are all certified tutors who have gone through a very strict screening, testing, and background check-ups. We also consistently do quality checks on their answers to the math problems that they give to our users. If you find any of their answers incorrect or inadequate, you can also rate them and report them to us and we will take necessary actions accordingly. So, don't you worry about a thing!

Basic Math Pre-Algebra: Arithmetic, proportional, integers, fractions, decimal numbers, powers, roots, factors, complex numbers Algebra: Linear equations/inequalities, quadratic equations/inequalities, logarithms, functions, graphing, polynomials Geometry: Plane/solid geometry, constructions, measurement formulas, formal proofs Precalculus: Identities, logarithmic functions, exponential functions, trigonometric functions, series and sequences, probability, statistics, limits, derivatives Trigonometry: Circular and periodic functions Calculus: Series, limits, derivatives, integration, differentiation Statistics: Combinations, permutation, factorials Discrete Mathematics Finite Mathematics Differential Equations Business Math BAAM! 😎

Yes, for sure! AIR MATH's AI recognition technology enables it to recognize not only the ordinary equations of various subjects but word problems as well. It will read your word problem and provide a few options of step-by-step solutions for you to choose from. Easy like a breeze!

Urr... Yes and no? You can photo scan your handwritten problem and ask for a solution to it, but if you mean if there is a handwriting feature to write out the question on the app directly, then it's a no. If we see that more and more users are asking for the said feature, we will definitely take it into consideration. That's a pinky promise.

Sadly, no. AIR MATH's tutor system does not allow a student to designate or reconnect to a certain tutor to solve your math problem. However, if we see a growing need for this, we will definitely take this into consideration.

Oh, yikes! I'm glad that you liked our tutor, but unfortunately, we do not give out personal information of the tutors, and so it's not possible to contact a specific tutor. But the good news is, that all other tutors are equally good at solving math problems! You may be connected to a random tutor, but all tutors that work with AIR MATH are certified, tested, and monitored constantly. You can trust them and ask any and every math questions you have. They'll give you a solution to your problem in a zap!

It's actually pretty simple. Just open the app, position your math problem that you need to solve within the guideline, then snap and tap to upload your question. It's okay if your problem was not photo scanned exactly within the guideline, because once you take a picture of it, you can later adjust and crop the math problem. Once you upload your math question, AIR MATH will come up with possible solutions to your problem in about 10 seconds. Now, wasn't that easy?.

No, no one but yourself can see the math questions that you have asked on AIR MATH... We do, however, accumulate all the math problems that all our users have asked so that our AI technology can use them as databases and become even faster when giving answers!

Well, that really depends. Our AIR MATH math homework helper/solver app itself only uses one system language: English. However, our tutors are from all across the globe and if you happen to use any of their languages, well, then that's up to you to decide if you want to use another language when asking for step-by-step solutions to your math problems from the tutors via live chat sessions. (We respect diversity!)

The Bookmarks feature enables you to literally "bookmark" any step-by-step solutions that you receive from AI regarding your math questions. Open AIR MATH, photo scan a problem that you're stuck with, then tap and upload. Wait for 10 seconds until you're given a step-by-step solution by AIR MATH AI. Once your answer is provided, you will see the "Bookmarks" icon at the top right corner along with the "Share" icon (second to far right). Tapping on the Bookmarks icon will add that answer in your Bookmarks tab. Later, when you want to go back to see this problem again, tap on the "History" tab on the bottom right corner, then you will see "Answers" and "Bookmarks" tabs. Go to the "Bookmarks" tab and you will see the step-by-step solutions to the math questions that you have added.

AIR MATH math homework helper/solver app is currently available both on iOS and Android. For iOS, any devices running on versions 14.4 and up can download and use the AIR MATH app. You can now also use AIR MATH on the web as well as a Chrome extension! We will be continuing to add support for new versions as well, so please stay tuned!

## Tickets/ PASS

The ticket system is the actual key player of AIR MATH Homework Helper app that helps you get through with your math homework. There are three types of tickets on AIR MATH: Search tickets, Question tickets and Writing tickets. Search tickets are used for searching for answers to a math problem, and Question tickets are used for asking for more precise solutions to math problems to tutors. Writing tickets are used for supercharging your essay. The rule is simple: one ticket per one question or essay!

Yes, there is! Each ticket has its own expiration date, so please be sure to check it from the Ticket page! Tickets with earliest expiration dates will be used up first.

You can earn extra free tickets by inviting new friends to download and try out AIR MATH Homework Helper app. Once your friend downloads and enters your invitation code, free tickets will be given right away. That's not all! You'll be rewarded with free tickets if you check-in on a daily basis! Check out the Ticket page for more details!

First, enter the app, then open your Ticket page. You will see your Friend Invitation Code. Copy the code and share it with your friends. When your friends download the app and enter your invitation code when signing up, you will be automatically given a set of free tickets!

Not to worry! Being asked to retake a math question does not mean that you will have to use another question ticket. The question ticket that you have used up for your math problem (which you also need to retake a photo of) will be returned and you can use it for the retake!

Ticket refills are there to allow you to purchase extra question tickets when necessary. If you are already on a subscription, there's going to be a little benefit when purchasing a refill!

AIR MATH Pass is our subscription system which gives out unlimited search tickets and a set of question tickets. There are various options to your subscription period; from 1 month plan to 1 year plan! Come take a look at our subscription plans and select whichever that best suits your interest!

Oh, it's definitely going to be worth it. You won't have to worry about how many tickets you have left, because we will provide an ample amount for you to use during your subscription period! The AIR MATH Homework Helper PASS will enable you to access and use the service both on the web and on the mobile app! Life made easier! (Wink, wink!)

You can purchase the PASS from the My Tickets page within the AIR MATH Homework Helper mobile app! All products are purchasable through either Apple App Store or Google Play Store in-app purchase system.

You can check your purchase history or status from either Apple App Store or Google Play Store.

You can check for all things related to subscription cancellation, refund, and more from the Apple App Store or Google Play Store.

Please take a screenshot of your purchase receipt and then send it to our Help Desk or <[email protected]>! We'll hand it over to our AIR MATH Help Center and try to figure out the problem and solution.

Please try contacting the Apple App Store or Google Play Store for any payment issues.

To change the payment method, you must access your app store and change the payment method that you have registered on it.

If you wish to change the subscription plan that you are currently on, you must first cancel the current subscription plan from your app store so that it does not recur on its next billing cycle. Then, you can choose another plan that you wish to use. Please note that the current subscription plan that you're on will last until your next billing cycle and your changed plan will apply from the next subscription term!

## Tech issue / Troubleshooting

This may be because the type of question that you asked has not been asked before, therefore the question is not in our database as of yet. Please try the "Ask Expert Tutors" feature and ask for a step-by-step solution directly. If this is not about our AI not being able to recognize your problem, then please check to see if your AIR MATH app is running on the latest version and take a screenshot or a screen recording and send it to us via "Contact Us."

Oof! So sorry to hear that you're experiencing malfunctions with our app! In this case, please first check to see if your AIR MATH app is running on the latest version. Then, please take a screenshot or screen recording of the problem that you're experiencing and send it to us via "Contact Us." It'd be certainly helpful if you can describe the issue in detail (e.g. during what stage the app froze or tapping on a certain button caused a crash, etc.) so that our developers will know where to look into.

Ideas, Inspiration, and Giveaways for Teachers

We Are Teachers

## 14 Effective Ways to Help Your Students Conquer Math Word Problems

If a train leaving Minneapolis is traveling at 87 miles an hour…

Word problems can be tricky for a lot of students, but they’re incredibly important to master. After all, in the real world, most math is in the form of word problems. “If one gallon of paint covers 400 square feet, and my wall measures 34 feet by 8 feet, how many gallons do I need?” “This sweater costs $135, but it’s on sale for 35% off. So how much is that?” Here are the best teacher-tested ideas for helping kids get a handle on these problems.

## 1. Solve word problems regularly

This might be the most important tip of all. Word problems should be part of everyday math practice, especially for older kids. Whenever possible, use word problems every time you teach a new math skill. Even better: give students a daily word problem to solve so they’ll get comfortable with the process.

Learn more: Teaching With Jennifer Findlay

## 2. Teach problem-solving routines

There are a LOT of strategies out there for teaching kids how to solve word problems (keep reading to see some terrific examples). The important thing to remember is that what works for one student may not work for another. So introduce a basic routine like Plan-Solve-Check that every kid can use every time. You can expand on the Plan and Solve steps in a variety of ways, but this basic 3-step process ensures kids slow down and take their time.

Learn more: Word Problems Made Easy

## 3. Visualize or model the problem

Encourage students to think of word problems as an actual story or scenario. Try acting the problem out if possible, and draw pictures, diagrams, or models. Learn more about this method and get free printable templates at the link.

Learn more: Math Geek Mama

## 4. Make sure they identify the actual question

Educator Robert Kaplinsky asked 32 eighth grade students to answer this nonsensical word problem. Only 25% of them realized they didn’t have the right information to answer the actual question; the other 75% gave a variety of numerical answers that involved adding, subtracting, or dividing the two numbers. That tells us kids really need to be trained to identify the actual question being asked before they proceed.

Learn more: Robert Kaplinsky

## 5. Remove the numbers

It seems counterintuitive … math without numbers? But this word problem strategy really forces kids to slow down and examine the problem itself, without focusing on numbers at first. If the numbers were removed from the sheep/shepherd problem above, students would have no choice but to slow down and read more carefully, rather than plowing ahead without thinking.

Learn more: Where the Magic Happens Teaching

## 6. Try the CUBES method

This is a tried-and-true method for teaching word problems, and it’s really effective for kids who are prone to working too fast and missing details. By taking the time to circle, box, and underline important information, students are more likely to find the correct answer to the question actually being asked.

Learn more: Teaching With a Mountain View

## 7. Show word problems the LOVE

Here’s another fun acronym for tackling word problems: LOVE. Using this method, kids Label numbers and other key info, then explain Our thinking by writing the equation as a sentence. They use Visuals or models to help plan and list any and all Equations they’ll use.

## 8. Consider teaching word problem key words

This is one of those methods that some teachers love and others hate. Those who like it feel it offers kids a simple tool for making sense of words and how they relate to math. Others feel it’s outdated, and prefer to teach word problems using context and situations instead (see below). You might just consider this one more trick to keep in your toolbox for students who need it.

Learn more: Book Units Teacher

## 9. Determine the operation for the situation

Instead of (or in addition to) key words, have kids really analyze the situation presented to determine the right operation(s) to use. Some key words, like “total,” can be pretty vague. It’s worth taking the time to dig deeper into what the problem is really asking. Get a free printable chart and learn how to use this method at the link.

Learn more: Solving Word Problems With Jennifer Findlay

## 10. Differentiate word problems to build skills

Sometimes students get so distracted by numbers that look big or scary that they give up right off the bat. For those cases, try working your way up to the skill at hand. For instance, instead of jumping right to subtracting 4 digit numbers, make the numbers smaller to start. Each successive problem can be a little more difficult, but kids will see they can use the same method regardless of the numbers themselves.

Learn more: Differentiating Math

## 11. Ensure they can justify their answers

One of the quickest ways to find mistakes is to look closely at your answer and ensure it makes sense. If students can explain how they came to their conclusion, they’re much more likely to get the answer right. That’s why teachers have been asking students to “show their work” for decades now.

Learn more: Madly Learning

## 12. Write the answer in a sentence

When you think about it, this one makes so much sense. Word problems are presented in complete sentences, so the answers should be too. This helps students make certain they’re actually answering the question being asked… part of justifying their answer.

Learn more: Multi-Step Word Problems

## 13. Add rigor to your word problems

A smart way to help kids conquer word problems is to, well… give them better problems to conquer. A rich math word problem is accessible and feels real to students, like something that matters. It should allow for different ways to solve it and be open for discussion. A series of problems should be varied, using different operations and situations when possible, and even include multiple steps. Visit both of the links below for excellent tips on adding rigor to your math word problems.

Learn more: The Routty Math Teacher and Alyssa Teaches

## 14. Use a problem-solving rounds activity.

Plus, 60+ Awesome Websites For Teaching and Learning Math .

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## Math Word Problems

- 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.

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## Introduction

Ali’s class has a capacity of 120 students.

Each of John’s classes has a capacity of 120/8 = 15 students.

The total capacity of John’s two classes is 15 students * 2 classes = 30 students.

The combined capacity of the two schools is 120 students + 30 students = 150 students.

Each of John’s classes has the capacity of 120 students / 8 = 15 students.

So, the two classes that John teaches have a combined capacity of 15 students * 2 = 30 students.

Ali’s class has a capacity of 120 students * 1 = 120 students.

Thus, the total capacity of Ali’s school is 120 students + 30 students = 150 students.

Therefore, the combined capacity of both schools is 150 students + 30 students = 180 students.

Combined, the two schools have the capacity of 15.0+120= 135.0

The total capacity of all of his classes is 15*120 = 1800 students

The total capacity of both of John’s classes is 30*2 = 60 students

Combined, the total capacity of both schools is 1800+60 = 1860 students

He gets 5*6=30 lemons per year

He gets 30*10= 300 lemons in 10 years

So he gets 60*6=360 lemons a year

That means he gets 360*10= 3600 lemons in a decade

Tim collects a total of 5*6= 30 lemons per tree.

So in a decade, he gets 30*10= 300 lemons .

So he gets 30*10= 300 lemons in a decade

Anthonygave 50/2= 25 pencils to Brandon.

After giving Brandon 25 pencils, Anthony had 50-25= 25 pencils left.

Anthony gave 25*3/5= 15 pencils to Charlie.

After giving Charlie 15 pencils, Anthony had 25-15= 10 pencils left.

Therefore, Anthony kept 10 pencils .

Anthonygave Brandon 50 x 1/2 = 25 pencils.

So he had 50 - 25 = 25 pencils left.

Charlie received 25 x 3/5 = 15 pencils.

Thus, Anthony kept 25 - 15 = 10 pencils .

Anthonygave 1/2 * 50 = 25.0 pencils to Brandon.

There are 50 - 25 = 25 pencils left.

He gave 3/5 * 25 = 15.0 pencils to Charlie.

Anthony kept 25 - 15 = 10.0 pencils .

Anthonygave Brandon 50 / 2 = 25.0 pencils.

Anthony gave Charlie 50 / 3 = 16.666666666666668 pencils.

So, Anthony gave a total of 25 + 16 = 41 pencils to Brandon and Charlie.

Therefore, Anthony kept 50 - 41 = 9 pencils.

The trip took 200+10=210 miles

He drove 70 mph for 210 miles so he drove for 210/70=3 hours

The route home was 240 miles and he drove 80 mph so he was driving for 240/80=3 hours

The total trip took 3+3= 6 hours

The trip to his friend’s house was 200+10=210 miles

So the total trip was 210+240=450 miles

That means it took 450/70= 6 hours

So his trip took 210/70=3 hours

His route home was 240/80=3 hours

The trip started at 7PM and he arrived at 12AM so it took 200-12=188 hours

He added 10 miles to the main trip so 10+188 = 198 miles

He traveled 240-198 = 42 miles on the way home

He went 80 mph for 240 miles so the trip took 240/80 = 3 hours

So in total it took 188+42 = 230 hours

Robert has 30 + 10 = 40 cherries.

If there are 60 cherries to be shared, then Richard and Jerry will have 60 - 40 = 20 cherries each.

Robert has 40 - 20 = 20 more cherries than Jerry.

Richard has 40 - 10 = 30 cherries.

Jerry has 30 - 30 = 0 cherries.

Robert has 40 - 0 = 40 more cherries than Jerry.

If Robert has 30 cherries, and has 10 more cherries than Richard, he has 30+10 = 40 cherries.

Since Jerry has 60 cherries, Robert has 60-40 = 20 more cherries than Jerry.

If Robert has 30 cherries, and Richard has 30+10 = 40 cherries,

Robert has 40-30 = 10 more cherries than Jerry.

She needs 3 petunias per basket and she has 5 baskets, so she needs 3*5 = 15.00 worth of petunias

She wants 3 petunias in each basket and they cost $ 3.00 each so that’s 3*3 = $ 9.00

She wants 2 sweet potato vines in each basket and they cost $ 2.50 each so that’s 2*2.50 = $ 5.00

For the petunias, Katherine will spend 5 petunias x $ 3.00/petunia = $ 15.00

For the sweet potato vines, she will spend 2 vines x $ 2.50/vine = $ 5.00

Altogether, she will spend $ 15.00 + $ 5.00 = $ 20.00

She wants to add 3 petunias and 2 sweet potato vines to each basket so that’s 3+2 = 5 plants

The petunias cost $ 3.00 each so she will spend 3*5 = $ 15.00 on petunias

The sweet potato vines cost $ 2.50 each so she will spend 2.5*5 = $ 12.50 on sweet potato vines

All total, she will spend 15+12.50 = $ 27.50 filling all 5 baskets

In total she saw 30 bees leave the hive and 15 bees return, 30 + 15 = 45 bees.

Debra sees 30 bees leave the hive in the first 6 hours.

She sees 1/2 * 30 bees = 15 bees return to the hive in the next 6 hours.

She sees 2 * 15 bees = 30 bees fly from the hive and leave in the next 6 hours.

Before the last 6 hours, Debra saw 30 + 15 + 30 = 75 bees leave the hive.

Before the last 6 hours, Debra saw 75 - 30 = 45 bees return to the hive.

First find the total number of bees that left the hive: 30 bees * 6 hours = 180 bees

Then multiply that number by two to find the number of bees that returned: 150 bees * 2 = 300 bees

The total number of bees that left the hive and returned in the next 6 hours is 66+33 = 99 bees

If Zack’s locker is half the size of Timothy’s locker, then it is 24 / 2 = 12 cubic inches.

If Peter’s locker is 1/4 the size of Zack’s locker, then it is 12 / 4 = 3 cubic inches.

Zack’s locker is 24/2=12 cubic inches.

Peter’s locker is 12/4= 3 cubic inches.

Zack’s locker is 24/2 = 12.0 cubic inches.

Peter’s is 12/4 = 3.0 cubic inches.

Zack’s locker is 24/2 = 12 cubic inches.

Peter’s locker is 12/4 = 3 cubic inches.

Amalia’s chore was to mow the lawn, which took her 4 hours.

The total time they all took doing their chores is 4+6+10 = 20 hours

Amalia took 4 hours to mow the lawn.

Megan took 2 hours longer to walk the dog than Amalia, so 4 + 2 = 6 hours.

Dior took well over 4 hours to do the laundry, meaning she took 4 + 6 = 10 hours.

Altogether, they took 4 + 6 + 10 = 20 hours to do their chores.

If Megan’s chore took 2 hours longer than Amalia’s, then it took 4+2 = 6 hours to complete.

If Dior’s chore took 4 hours longer than Amalia’s, then it took 6+4 = 10 hours to complete.

If you add the time they all took to complete their chores, then you get 4+6+10 = 20 hours.

If you add the time Amalia took to mow the lawn, it becomes 4+2 = 6 hours.

Together, the three took 6+8+6 = 20 hours doing chores.

He drinks 1/2 hour so 60 minutes / 2 = 30 minutes

A normal puzzle takes 45 minutes so an Extreme puzzle takes 45*4 = 180 minutes

That means he drinks 180/30 = 6 bottles of water

A normal sudoku puzzle takes 45 minutes to solve so an extreme sudoku takes 4*45 = 180 minutes

He drinks a bottle every 45 minutes so that’s 1/2*45=22.5 minutes

An extreme sudoku takes 4*45=180 minutes

So he drinks 180/22.5= 8 bottles of water

He drinks 1.5 bottles of water per hour because 45 / 60 = 0.75

That means he drinks 3 bottles of water because 0.75 x 2 = 1.5

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