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

Written by Marcus Guido

## Hey teachers! ðŸ‘‹

Use Prodigy to spark a love for math in your students â€“ including when solving word problems!

• Teaching Tools
• Subtraction
• Multiplication
• Mixed operations
• Ordering and number sense
• Comparing and sequencing
• Physical measurement
• Ratios and percentages
• 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 doesnâ€™t come.

Whether youâ€™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 byÂ tips to create engaging and challenging math word problems.

## 120 Math word problems, categorized by skill

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 wasnâ€™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 wasnâ€™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?

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

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

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

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 Juliaâ€™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 â…“ of a kilometre to school each day. He also walks â…“ 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 â…— of a case. This week, itâ€™s down to â…• 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 Â¼ scoops of chocolate ice cream, 5 Â¾ scoops of vanilla and 2 Â¾ 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 â…“ bottles of cola for her friends to drink. She drank â…“ of a bottle herself. Her friends drank 3 â…“. How many bottles of cola does Jaime have left?

42. Adding Fractions with Unlike Denominators: Kevin completed Â½ of an assignment at school. When he was home that evening, he completed â…š of another assignment. How many assignments did Kevin complete?

43. Subtracting Fractions with Unlike Denominators: Packing school lunches for her kids, Patty used â…ž of a package of ham. She also used Â½ 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 Â¼ of a kilometre. On Thursday, they ran Â½ 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 â…• of a bottle of colour dye to make one pair of pants. The manufacturer used â…˜ of a bottle yesterday. How many pairs of pants did the manufacturer make?

46. Multiplying Fractions with Whole Numbers: Mark drank â…š 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

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 2.5Â kilograms of spaghetti. Her students were able to make 10 leaning towers in total.Â 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

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 dadâ€™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

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

72. Comparing Measurements: Cassandraâ€™s ruler is 22 centimetres long. Aprilâ€™s ruler is 30 centimetres long. How many centimetres longer is Aprilâ€™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: Michaâ€™s dad wants to try to save money on gas, so he has been tracking how much he uses. Last year, Michaâ€™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: Michaâ€™s dad wants to try to save money on gas, so he has been tracking how much he uses. Over the past two years, Michaâ€™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 Mildaâ€™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

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

83. Finding Missing Numbers: The ratio of Jennyâ€™s trophies to Meredithâ€™s trophies is 7:4. The difference between the numbers is 12. What are the numbers?

84. Comparing Ratios: The schoolâ€™s junior band has 10 saxophone players and 20 trumpet players. The schoolâ€™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, Oakvilleâ€™s population was 67,624 people. Now, it is 190% larger. What is Oakvilleâ€™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

89. Understanding the Premise of Probability: John wants to know his classâ€™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 Mauritaâ€™s 4 tests: 4, 4, 4, 4. Here are the results for 3 of Feliceâ€™s 4 tests: 3, 3, 3. If Mauritaâ€™s mean for the 4 tests is 1 point higher than Feliceâ€™s, whatâ€™s the score of Feliceâ€™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

96. Introducing Perimeter:Â  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 containerâ€™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 theÂ 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: Aaronâ€™s candy container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. Bruceâ€™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 tentâ€™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 Circleâ€™s Diameter: Jasmin bought a new round backpack. Its area is 370 square centimetres. What is the round backpackâ€™s diameter?

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

114. Finding a Circleâ€™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 mazeâ€™s radius?

## Variables word problems

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:Â  By framing your word problems with student interests, youâ€™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:Â  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:Â  Naming a questionâ€™s characters after your students is an easy way make subject matter relatable, helping them work through the problem.
• Be Explicit:Â  Repeating keywords distills the question, helping students focus on the core problem.
• Test Reading Comprehension:Â  Flowery word choice and long sentences can hide a questionâ€™s key elements. Instead, use concise phrasing and grade-level vocabulary.
• Focus on Similar Interests:Â  Framing too many questions with related interests -- such as football and basketball -- can alienate or disengage some students.
• Feature Red Herrings:Â  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.

## Generating PDF...

• Pre Algebra Order of Operations Factors & Primes Fractions Long Arithmetic Decimals Exponents & Radicals Ratios & Proportions Percent Modulo Number Line Mean, Median & Mode
• Algebra Equations Inequalities System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Interval Notation Pi (Product) Notation Induction Logical Sets Word Problems
• Pre Calculus Equations Inequalities Scientific Calculator Scientific Notation Arithmetics Complex Numbers Polar/Cartesian Simultaneous Equations System of Inequalities Polynomials Rationales Functions Arithmetic & Comp. Coordinate Geometry Plane Geometry Solid Geometry Conic Sections Trigonometry
• Calculus Derivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform
• Functions Line Equations Functions Arithmetic & Comp. Conic Sections Transformation
• Linear Algebra Matrices Vectors
• Trigonometry Identities Proving Identities Trig Equations Trig Inequalities Evaluate Functions Simplify
• Statistics Mean Geometric Mean Quadratic Mean Average Median Mode Order Minimum Maximum Probability Mid-Range Range Standard Deviation Variance Lower Quartile Upper Quartile Interquartile Range Midhinge Standard Normal Distribution
• Physics Mechanics
• Chemistry Chemical Reactions Chemical Properties
• Finance Simple Interest Compound Interest Present Value Future Value
• Economics Point of Diminishing Return
• Conversions Roman Numerals Radical to Exponent Exponent to Radical To Fraction To Decimal To Mixed Number To Improper Fraction Radians to Degrees Degrees to Radians Hexadecimal Scientific Notation Distance Weight Time
• Pre Algebra
• One-Step Subtraction
• One-Step Multiplication
• One-Step Division
• One-Step Decimals
• Two-Step Integers
• Two-Step Multiply/Divide
• Two-Step Fractions
• Two-Step Decimals
• Multi-Step Integers
• Multi-Step with Parentheses
• Multi-Step Rational
• Multi-Step Fractions
• Multi-Step Decimals
• Solve by Factoring
• Completing the Square
• Logarithmic
• Exponential
• Rational Roots
• Floor/Ceiling
• Equation Given Roots
• Newton Raphson
• Substitution
• Elimination
• Cramer's Rule
• Gaussian Elimination
• System of Inequalities
• Perfect Squares
• Difference of Squares
• Difference of Cubes
• Sum of Cubes
• Polynomials
• Distributive Property
• FOIL method
• Perfect Cubes
• Binomial Expansion
• Negative Rule
• Product Rule
• Quotient Rule
• Expand Power Rule
• Fraction Exponent
• Exponent Rules
• Exponential Form
• Logarithmic Form
• Absolute Value
• Rational Number
• Powers of i
• Partial Fractions
• Is Polynomial
• Standard Form
• Complete the Square
• Synthetic Division
• Linear Factors
• Rationalize Denominator
• Rationalize Numerator
• Identify Type
• Convergence
• Interval Notation
• Pi (Product) Notation
• Boolean Algebra
• Truth Table
• Mutual Exclusive
• Cardinality
• Caretesian Product
• Age Problems
• Distance Problems
• Cost Problems
• Investment Problems
• Number Problems
• Percent Problems
• Multiplication/Division
• Dice Problems
• Coin Problems
• Card Problems
• Pre Calculus
• Linear Algebra
• Trigonometry
• Conversions

## Most Used Actions

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{The\:sum\:of\:two\:numbers\:is\:249\:.\:Twice\:the\:larger\:number\:plus\:three\:times\:the\:smaller\:number\:is\:591\:.\:Find\:the\:numbers.}
• \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}
• \mathrm{You\:deposit\:3000\:in\:an\:account\:earning\:2\%\:interest\:compounded\:monthly.\:How\:much\:will\:you\:have\:in\:the\:account\:in\:15\:years?}
• 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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• High School Math Solutions – Inequalities Calculator, Exponential Inequalities Last post, we talked about how to solve logarithmic inequalities. This post, we will learn how to solve exponential... Read More

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Download & Print From only $2.20 ## Math Word Problems Worksheets Word problems worksheets for kindergarten to grade 5. Our word problems worksheets are best attempted after a student is familiar with the underlying skill. We include many mixed word problems or word problems with irrelevant data so that students must think about the problem carefully rather than just apply a formulaic solution. ## Choose your grade / topic: Kindergarten: Addition word problems Subtraction word problems Grade 1 word problems Grade 2 word problems Grade 3 word problems Grade 4 word problems Grade 5 word problems Topics include: ## Kindergarten addition word problems • Simple word problems with 1-digit addition ## Kindergarten subtraction word problems • Simple word problems with 1-digit subtraction ## Grade 1 word problems worksheets • Single digit addition word problems • Addition with sums 50 or less • Adding 3 or more numbers • Subtracting 1-digit numbers • Subtracting numbers under 50 • Mixed addition & subtraction • Time and elapsed time • Counting money word problems • Measurement word problems (lengths) • Writing fractions from a story • Mixed word problems ## Grade 2 word problems worksheets • 1,2 and 3-digit addition word problems • 1,2 and 3-digit subtraction • Mixed addition and subtraction • Multiplication within 25 • Lengths - adding / subtracting / comparing (customary and metric) • Time and elapsed time (1/2 hour intervals) • Time and elapsed time (5 minute intervals) • Counting money (coins and bills) • Writing fractions word problems • Comparing fractions ## Grade 3 word problems worksheets • Simple addition word problems (numbers under 100) • Addition in columns (numbers under 1,000) • Mental subtraction • Subtraction in columns (2-3 digits) • Simple multiplication (1-digit by 1 or 2-digit) • Multiplying multiples of 10 • Multiplication in columns • Simple division • Long division with remainders (numbers 1-100) • Mixed multiplication and division word problems • Identifying, comparing and simplifying fractions • Adding and subtracting fractions (like denominators) • Length word problems • Time word problems (nearest 1 minute) • Mass and weight word problems • Volume and capacity word problems • Word problems with variables ## Grade 4 word problems worksheets • Four operations (addition, subtraction, multiplication, division) • Estimating and rounding • Writing and comparing fractions • Multiplying fractions by whole numbers • Adding and subtracting decimals (up to 3 terms) • Length word problems (customary and metric units) • Time word problems (including am vs pm) • Money word problems (with decimal notation) • Shopping word problems ## 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) • Decimals word problems (add, subtract, multiply) • Mass and weight word problems (oz, lbs / gm, kg) • Variables and expressions word problems • Variables and equations word problems • Volume of rectangular prism • GCF / LCM word problems ## Related topics Fractions worksheets Geometry worksheets Sample Word Problems Worksheet What is K5? K5 Learning offers free worksheets , flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. Our members helped us give away millions of worksheets last year. We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts.

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## Getting Started With Numberless Word Problems

Word problems are the place where numbers, operations, and comprehension collide. Numberless word problems are a tool you can use to boost comprehension so that your students can confidently apply their knowledge of numbers and operations to solve.

If you’ve never used this tool before, or if you have tried numberless word problems but didn’t quite get the results you were looking for, let’s go back to basics.

## What Are Numberless Word Problems?

Numberless word problems are as simple as they sound– word problems and math contexts where the numbers have been removed.

In my preferred method of implementation, a numberless word problem begins with no numbers *and no question*. It’s simply a context. The teacher facilitates discussion by prompting students with questions and by progressively introducing both numbers and a question into the context.

Sample Numberless Word Problem Progression:

• Multiple packs of markers are on the shelf in the back to school aisle. Mrs. Ramirez purchases some of them.
• 5 packs of markers are on the shelf in the back to school aisle. Mrs. Ramirez purchases some of them.
• 5 packs of markers are on the shelf in the back to school aisle. Mrs. Ramirez purchases 3 packs of markers.
• 5 packs of markers are on the shelf in the back to school aisle. Mrs. Ramirez purchases 3 packs of markers. How many markers will be left on the shelf?

## Why Use Numberless Word Problems?

By presenting your students with contexts that are initially numberless word problems and by slowly introducing one piece of information at a time, your students are forced to focus on the context of the problem rather than simply plucking numbers out and adding them together .

Numberless word problems — and the discussion that goes along with them– also help to support your students who were previously “ keyword hunters “. These students are searching word problems for words like “in all” “together” “take away” etc and are applying the operation that those words imply whether or not the operation actually applies to the context at hand.

Numberless word problems are also an amazing tool when it comes to promoting math talk in your classroom!

## How Can I Prompt Discussion During a Numberless Word Problem?

On the first step of your word problem, you can ask questions such as:

• What is happening in this problem?
• What is this story about?
• Who is in this story?
• What *could* be the number of…. in the story?
• Draw a picture that matches the story.
• What does the word [more, less, some, fewer, got, gave….] tell us about what is happening in the story?

When you introduce the first number back into the word problem talk to your students about how that information impacts their understanding of the context.

• What do you know now?
• What could the number of…. be?
• How does knowing [the new number] change your thinking about the story?
• What are you wondering about the problem?
• What does the word [more, less, some, fewer, got, gave….] tell us now about the story?

• What new information do you have now?
• What do you notice about the story?
• Draw a picture of what is happening in the story.
• How did [the new number] change your thinking about the problem?
• What question *might* we ask about the information in this story?

And, finally, when the question is introduced, continue the discussion connecting your students’ comprehension of the story problem with their understanding of numbers and operations.

• What operation could we use to solve this problem?
• What is the question asking? And after solving….

## Free Numberless Word Problem Sets

I would love for you to try a set of *FREE* numberless word problems . Click below to grab yours!

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#### IMAGES

2. Easy Math Word Problems For First Grade

3. Print the Free Algebra Word Problems Solver Worksheet

4. Round or Not? Word Problems by Math Animal

5. Math word problem solving

6. 5th grade math word problems worksheets printable math worksheets

1. Numberless Word Problems

2. 120 Math Word Problems To Challenge Students Grades 1 to 8

January 04, 2021 All Posts Written by Marcus Guido Hey teachers! ðŸ‘‹ 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.

3. Word Problems Calculator

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.

4. The Power of Numberless Word Problems

Numberless word problems force students to take time to truly make sense of the problem and determine what actions are being done in the problem. When they understand the actions in the problem, they can then translate that to an operation, or a math action. All four operations are mathematical representations of a real life action (joining ...

5. Math Word Problem Worksheets

Our word problems worksheets are best attempted after a student is familiar with the underlying skill. We include many mixed word problems or word problems with irrelevant data so that students must think about the problem carefully rather than just apply a formulaic solution. Choose your grade / topic: Kindergarten: Addition word problems

6. Algebraic word problems

To solve an algebraic word problem: 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. It's important for us to keep in mind how we define our variables.

7. Why Word Problems Are Such a Struggle for Studentsâ€”And What Teachers Can Do

By Sarah Schwartz â€” May 01, 2023 12 min read J.R. Bee for Education Week Give Cindy Cliche a math word problem, and she can tell you exactly where most students are going to trip up.

8. Getting Started With Numberless Word Problems

Word problems are the place where numbers, operations, and comprehension collide. Numberless word problems are a tool you can use to boost comprehension so that your students can confidently apply their knowledge of numbers and operations to solve. If you've never used this tool before, or if you have tried numberless word problems but didn ...

9. How to turn word problems into math

How do I convert word problems into math? The steps for setting up word problems are: Read the entire exercise. Work in an organized manner. Look for the keywords. Apply your knowledge of "the real world". MathHelp.com Algebra Word Problems Step 1 in effectively translating and solving word problems is to read the problem entirely.

10. Numberless Word Problems

First, remove the question. Students will naturally create the question on their own, when the rest makes sense to them. Johnny's garden has 4 rows of carrots. There are 7 carrots in each row. Second, replace the last number with a "soft" word: some, a few, lots of, many, etc. Johnny's garden has 4 rows of carrots.

11. How to Help Students Who Struggle with Word Problems

The test makers are hip to the whole key word thing. So while key words may have worked 20 years ago, today's tests are specifically written to outsmart that approach. 2. Pre-Formulating Word Problems. For students to be effective in solving word problems, they need to master the art of formulation.

12. A Strategy for Teaching Math Word Problems

A Math Word Problem Framework That Fosters Conceptual Thinking. This strategy for selecting and teaching word problems guides students to develop their understanding of math concepts. Word problems in mathematics are a powerful tool for helping students make sense of and reason with mathematical concepts. Many students, however, struggle with ...

13. The Problem with Using Keywords for Word Problems

Teaching students to look for keywords in word problems teaches them to bypass the context of the word problem. Students don't read the problem for understanding and instead, look for specific words that might help them solve the problem. Not all keywords work in all instances. Math problem-solving words provide a pathway, but not a ...

14. Reading and Understanding Written Math Problems

Word problems in mathematics often pose a challenge because they require that students read and comprehend the text of the problem, identify the question that needs to be answered, and finally create and solve a numerical equation. Many ELLs may have difficulty reading and understanding the written content in a word problem. Home Reading Topics A-Z

15. The Secret to Solving Word Problems. Hint: It's Not about Math

Realistically, solving word problems usually requires students to juggle more information in short-term memory than solving an equation: reading multiple lines of text, identifying what is being asked, picking numbers to use, and setting up an equation. All before they even begin to "do math".

16. Algebra Topics: Introduction to Word Problems

If you've ever taken a math class, you've probably solved a word problem. For instance, does this sound familiar? Johnny has 12 apples. If he gives four to Susie, how many will he have left? You could solve this problem by looking at the numbers and figuring out what the problem is asking you to do.

17. IXL

Word problems. Here is a list of all of the skills that cover word problems! These skills are organized by grade, and you can move your mouse over any skill name to preview the skill. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

18. Secret to Solving Math Word Problems. Hint: It's Not about Math

Solving word problems relies on using short-term memory to read the problem, decide what is being asked, select numbers, and set up an equation. The steps above are key to lessening the burden on short-term memory. In other words, these rules are most important for students with weaker executive functions or who are anxious about math.

19. No More Keywords for Math Word Problems

The use of math keywords focuses on looking at the words of a word problem in isolation and not in the context of the problem. In this post, I share four reasons why using keywords for math word problems fail students. There are 125 sheep and 5 dogs in a flock. How old is the shepherd?

20. Math Word Problems

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.

21. The Complete Guide to SAT Math Word Problems

Word Problem Type 1: Setting Up an Equation. This is a fairly uncommon type of SAT word problem, but you'll generally see it at least once on the Math section. You'll also most likely see it first on the section. For these problems, you must use the information you're given and then set up the equation.

22. The trouble with math word problems

LESSON X Explanation and examples. Numerical exercises. A few word problems. In other words, the word problems are usually in the END of the lesson, and just a few. But worse... if the lesson is about topic X, then the word problems are usually about the topic X too!

23. 10 Best Strategies for Solving Math Word Problems

6. Use Estimation to Predict Answers. Estimation is a valuable skill in solving math word problems, as it allows students to predict the answer's ballpark figure before solving it precisely. Teaching students to use estimation can help them check their answers for reasonableness and avoid common mistakes.

24. Elevating Math Education Through Problem-Based Learning

The answer, as in many situations, lies in math. Climbers maximize their training by measuring their heart rate. When they train, they aim for a heart rate between 60 and 80 percent of their maximum. More than that, and they risk burning out. A heart rate below 60 percent means the training is too easy â€” they've got to push themselves harder.

25. Why the Case Against Fani Willis Feels Familiar to Black Women

By Clyde McGrady and Katie Glueck. Feb. 14, 2024. Tangala L. Hollis-Palmer felt a sense of pride when she learned that Fani T. Willis, the district attorney of Fulton County, Ga., and one of the ...

26. Opinion

Special Counsel Robert K. Hur's report, in which he declined to prosecute President Biden for his handling of classified documents, also included a much-debated assessment of Mr. Biden's ...

27. On Fear of a Senile President

The presidency is an endless series of judgment calls, not a four-year math test. In fact, large parts of the executive branch exist, in effect, to do the math problems on the president's behalf ...

28. â€ŽMath Solver

With a range of powerful features, Nerd AI transforms the way you approach writing, problem-solving, language learning, summarizing, coding, and expanding your knowledge on any topic. Snap a photo of your question and get answers in a second with step-by-step explanations. Say goodbye to the writing struggles and hello to a world of effortless ...