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120 Math Word Problems To Challenge Students Grades 1 to 8

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Written by Marcus Guido

Hey teachers! 👋

Use Prodigy to spark a love for math in your students – 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 doesn’t come.

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

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

There are 120 examples in total.

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

120 Math word problems, categorized by skill

Addition word problems.

A teacher is teaching three students with a whiteboard happily.

Best for: 1st grade, 2nd grade

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

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

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

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

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

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

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

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

Subtraction word problems

Best for: 1st grade, second grade

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

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

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

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

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

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

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

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

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

Multiplication word problems

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

Best for: 2nd grade, 3rd grade

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

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

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

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

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

Division word problems

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

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

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

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

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

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

Mixed operations word problems

A female teacher is instructing student math on a blackboard

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

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

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

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

Ordering and number sense word problems

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

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

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

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

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

Fractions word problems

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

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

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

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

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

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

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

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

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

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

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

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

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

Decimals word problems

Best for: 4th grade, 5th grade

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

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

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

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

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

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

Comparing and sequencing word problems

Four students are sitting together and discussing math questions

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

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

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

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

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

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

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

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

Time word problems

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

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

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

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

Money word problems

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

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

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

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

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

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

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

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

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

Physical measurement word problems

A girl is doing math practice

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

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

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

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

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

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

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

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

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

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

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

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

Ratios and percentages word problems

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

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

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

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

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

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

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

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

Probability and data relationships word problems

Two students are calculating on a whiteboard

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

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

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

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

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

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

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

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

Geometry word problems

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Variables word problems

A hand is calculating math problem on a blacboard

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

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

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

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

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

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

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

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

Two teachers are discussing math with a pen and a notebook

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

  • 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.

Math Word Problems

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

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

  • Question : Understand what the question is asking. What operation or operations do you need to use to solve this question? Ask for help to understand the question if you can't do it on your own.
  • Estimate : Use an estimation strategy, so you can check your answer for reasonableness in the evaluate step. Try underestimating and overestimating, so you know what range the answer is supposed to be in. Be flexible in rounding numbers if it will make your estimate easier.
  • Strategize : Choose a strategy to solve the problem. Will you use mental math, manipulatives, or pencil and paper? Use a strategy that works for you. Save the calculator until the evaluate stage.
  • Calculate : Use your strategy to solve the problem.
  • Evaluate : Compare your answer to your estimate. If you under and overestimated, is the answer in the correct range. If you rounded up or down, does the answer make sense (e.g. is it a little less or a little more than the estimate). Also check with a calculator.

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  • Powers of ten
  • Coordinate plane
  • Algebraic thinking
  • Converting units of measure
  • Properties of shapes
  • Ratios, rates, & percentages
  • Arithmetic operations
  • Negative numbers
  • Properties of numbers
  • Variables & expressions
  • Equations & inequalities introduction
  • Data and statistics
  • Negative numbers: addition and subtraction
  • Negative numbers: multiplication and division
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  • Negative numbers and coordinate plane
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  • Equations, expressions, and inequalities
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  • Foundations
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  • Equations and geometry
  • Algebra foundations
  • Solving equations & inequalities
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  • Linear equations & graphs
  • Forms of linear equations
  • Inequalities (systems & graphs)
  • Absolute value & piecewise functions
  • Exponents & radicals
  • Exponential growth & decay
  • Quadratics: Multiplying & factoring
  • Quadratic functions & equations
  • Irrational numbers
  • Performing transformations
  • Transformation properties and proofs
  • Right triangles & trigonometry
  • Non-right triangles & trigonometry (Advanced)
  • Analytic geometry
  • Conic sections
  • Solid geometry
  • Polynomial arithmetic
  • Complex numbers
  • Polynomial factorization
  • Polynomial division
  • Polynomial graphs
  • Rational exponents and radicals
  • Exponential models
  • Transformations of functions
  • Rational functions
  • Trigonometric functions
  • Non-right triangles & trigonometry
  • Trigonometric equations and identities
  • Analyzing categorical data
  • Displaying and comparing quantitative data
  • Summarizing quantitative data
  • Modeling data distributions
  • Exploring bivariate numerical data
  • Study design
  • Probability
  • Counting, permutations, and combinations
  • Random variables
  • Sampling distributions
  • Confidence intervals
  • Significance tests (hypothesis testing)
  • Two-sample inference for the difference between groups
  • Inference for categorical data (chi-square tests)
  • Advanced regression (inference and transforming)
  • Analysis of variance (ANOVA)
  • Scatterplots
  • Data distributions
  • Two-way tables
  • Binomial probability
  • Normal distributions
  • Displaying and describing quantitative data
  • Inference comparing two groups or populations
  • Chi-square tests for categorical data
  • More on regression
  • Prepare for the 2020 AP®︎ Statistics Exam
  • AP®︎ Statistics Standards mappings
  • Polynomials
  • Composite functions
  • Probability and combinatorics
  • Limits and continuity
  • Derivatives: definition and basic rules
  • Derivatives: chain rule and other advanced topics
  • Applications of derivatives
  • Analyzing functions
  • Parametric equations, polar coordinates, and vector-valued functions
  • Applications of integrals
  • Differentiation: definition and basic derivative rules
  • Differentiation: composite, implicit, and inverse functions
  • Contextual applications of differentiation
  • Applying derivatives to analyze functions
  • Integration and accumulation of change
  • Applications of integration
  • AP Calculus AB solved free response questions from past exams
  • AP®︎ Calculus AB Standards mappings
  • Infinite sequences and series
  • AP Calculus BC solved exams
  • AP®︎ Calculus BC Standards mappings
  • Integrals review
  • Integration techniques
  • Thinking about multivariable functions
  • Derivatives of multivariable functions
  • Applications of multivariable derivatives
  • Integrating multivariable functions
  • Green’s, Stokes’, and the divergence theorems
  • First order differential equations
  • Second order linear equations
  • Laplace transform
  • Vectors and spaces
  • Matrix transformations
  • Alternate coordinate systems (bases)

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Unit 1: Algebra foundations

Unit 2: solving equations & inequalities, unit 3: working with units, unit 4: linear equations & graphs, unit 5: forms of linear equations, unit 6: systems of equations, unit 7: inequalities (systems & graphs), unit 8: functions, unit 9: sequences, unit 10: absolute value & piecewise functions, unit 11: exponents & radicals, unit 12: exponential growth & decay, unit 13: quadratics: multiplying & factoring, unit 14: quadratic functions & equations, unit 15: irrational numbers, unit 16: creativity in algebra.

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IXL's high school skills will be aligned to the Texas Essential Knowledge and Skills (TEKS) soon! Until then, you can view a complete list of high school standards below.

Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.

Show alignments for:

  • College and Career Readiness Standards College and Career Readiness Standards
  • Texas Essential Knowledge and Skills (TEKS): 111.47 Statistics Texas Essential Knowledge and Skills (TEKS): 111.47 Statistics
  • Texas Essential Knowledge and Skills (TEKS): 111.48 Algebraic Reasoning Texas Essential Knowledge and Skills (TEKS): 111.48 Algebraic Reasoning
  • State of Texas Assessments of Academic Readiness (STAAR) State of Texas Assessments of Academic Readiness (STAAR)
  • Texas Essential Knowledge and Skills (TEKS): Algebra 1 Texas Essential Knowledge and Skills (TEKS): Algebra 1
  • Texas Essential Knowledge and Skills (TEKS): Algebra 2 Texas Essential Knowledge and Skills (TEKS): Algebra 2
  • Texas Essential Knowledge and Skills (TEKS): Geometry Texas Essential Knowledge and Skills (TEKS): Geometry
  • Texas Essential Knowledge and Skills (TEKS): Mathematical processes Texas Essential Knowledge and Skills (TEKS): Mathematical processes
  • Texas Essential Knowledge and Skills (TEKS): Precalculus Texas Essential Knowledge and Skills (TEKS): Precalculus
  • Texas College and Career Readiness Standards: Grades: 9-12 Texas College and Career Readiness Standards: Grades: 9-12
  • Print standards

2-5 Linear functions, equations, and inequalities

2 the student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations., a determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities;.

  • Domain and range of relations ( A1-M.2 )
  • Domain and range of linear functions: graphs ( A1-N. )
  • Domain and range of linear functions: word problems ( A1-N.7 )

B write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y 1 = m(x - x 1 ), given one point and the slope and given two points;

  • Slope-intercept form: write an equation ( A1-L.6 )
  • Write linear equations in standard form ( A1-L.9 )
  • Point-slope form: write an equation ( A1-L.15 )
  • Write equations for lines of best fit ( A1-JJ.5 )

C write linear equations in two variables given a table of values, a graph, and a verbal description;

  • Slope-intercept form: write an equation from a graph ( A1-L.5 )
  • Slope-intercept form: write an equation from a table ( A1-L.7 )
  • Point-slope form: write an equation from a graph ( A1-L.16 )
  • Write a linear function: word problems ( A1-N.6 )

D write and solve equations involving direct variation;

  • Find the constant of variation ( A1-J.1 )
  • Write direct variation equations ( A1-J.2 )
  • Write and solve direct variation equations ( A1-J.3 )

E write the equation of a line that contains a given point and is parallel to a given line;

  • Slopes of parallel and perpendicular lines ( A1-L.18 )
  • Write an equation for a parallel or perpendicular line ( A1-L.19 )

F write the equation of a line that contains a given point and is perpendicular to a given line;

G write an equation of a line that is parallel or perpendicular to the x or y axis and determine whether the slope of the line is zero or undefined;.

  • Equations of horizontal and vertical lines ( A1-L.12 )

H write linear inequalities in two variables given a table of values, a graph, and a verbal description; and

  • Write a linear inequality from a graph ( A1-P.4 )
  • Write two-variable inequalities: word problems ( A1-P.5 )

I write systems of two linear equations given a table of values, a graph, and a verbal description.

  • Solve a system of equations by graphing: word problems ( A1-O.3 )
  • Solve a system of equations using substitution: word problems ( A1-O.9 )
  • Solve a system of equations using elimination: word problems ( A1-O.11 )
  • Solve a system of equations using any method: word problems ( A1-O.15 )
  • Write a system of equations given a graph ( A1 )

Checkpoint opportunity

  • Checkpoint: Linear equations ( A1 )
  • Checkpoint: Parallel and perpendicular lines ( A1 )

3 The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations.

A determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, ax + by = c 1 and y - y 1 = m(x - x 1 );.

  • Find the slope of a graph ( A1-K.1 )
  • Find the slope from two points ( A1-K.2 )
  • Find the slope from a table ( A1-K.3 )
  • Slope-intercept form: find the slope and y-intercept ( A1-L.3 )
  • Find the slope from an equation ( A1 )

B calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems;

  • Interpret the slope and y-intercept of a linear function ( A1-N.5 )

C graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems;

  • Slope-intercept form: graph an equation ( A1-L.4 )
  • Standard form: find x- and y-intercepts ( A1-L.10 )
  • Standard form: graph a line from an equation ( A1-L.11 )
  • Graph a horizontal or vertical line ( A1-L.13 )
  • Point-slope form: graph an equation ( A1-L.14 )
  • Complete a table and graph a linear function ( A1-N.3 )
  • Compare linear functions: graphs and equations ( A1-N.8 )
  • Graph a proportional relationship ( A1 )

D graph the solution set of linear inequalities in two variables on the coordinate plane;

  • Does (x, y) satisfy the inequality? ( A1-P.1 )
  • Graph a two-variable linear inequality ( A1-P.3 )

E determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d;

  • Transformations of linear functions ( A1-N.10 )

F graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist;

  • Solve a system of equations by graphing ( A1-O.2 )
  • Find the number of solutions to a system of equations by graphing ( A1-O.4 )

G estimate graphically the solutions to systems of two linear equations with two variables in real-world problems; and

H graph the solution set of systems of two linear inequalities in two variables on the coordinate plane..

  • Is (x, y) a solution to the system of linear inequalities? ( A1-P.6 )
  • Solve systems of linear inequalities by graphing ( A1-P.7 )
  • Checkpoint: Slope and rate of change ( A1 )
  • Checkpoint: Graphs and transformations of linear functions ( A1 )
  • Checkpoint: Linear inequalities ( A1 )

4 The student applies the mathematical process standards to formulate statistical relationships and evaluate their reasonableness based on real-world data.

A calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association;.

  • Match correlation coefficients to scatter plots ( A1-JJ.3 )
  • Calculate correlation coefficients ( A1-JJ.4 )

B compare and contrast association and causation in real-world problems; and

  • Correlation and causation ( A1-JJ.9 )

C write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.

  • Interpret lines of best fit: word problems ( A1-JJ. )
  • Find the equation of a regression line ( A1-JJ.6 )
  • Interpret regression lines ( A1-JJ.7 )
  • Analyze a regression line of a data set ( A1-JJ.8 )
  • Checkpoint: Linear modeling ( A1 )

5 The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions.

A solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides;.

  • Model and solve linear equations using algebra tiles ( A1-C.6 )
  • Solve one-step linear equations ( A1-C.7 )
  • Solve two-step linear equations ( A1-C.8 )
  • Solve one-step and two-step linear equations: word problems ( A1-C.9 )
  • Solve multi-step linear equations ( A1-C.10 )
  • Solve linear equations with variables on both sides ( A1-C.12 )
  • Solve linear equations: complete the solution ( A1-C.13 )
  • Find the number of solutions to a linear equation ( A1-C.14 )
  • Solve linear equations with variables on both sides: word problems ( A1-C.16 )
  • Solve linear equations: mixed review ( A1-C.17 )

B solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides; and

  • Solve one-step linear inequalities: addition and subtraction ( A1-F.4 )
  • Solve one-step linear inequalities: multiplication and division ( A1-F.5 )
  • Solve one-step linear inequalities ( A1-F.6 )
  • Graph solutions to one-step linear inequalities ( A1-F.7 )
  • Solve two-step linear inequalities ( A1-F.8 )
  • Graph solutions to two-step linear inequalities ( A1-F.9 )
  • Solve advanced linear inequalities ( A1-F.10 )
  • Graph solutions to advanced linear inequalities ( A1-F.11 )

C solve systems of two linear equations with two variables for mathematical and real-world problems.

  • Find the number of solutions to a system of equations ( A1-O.5 )
  • Solve a system of equations using substitution ( A1-O.8 )
  • Solve a system of equations using elimination ( A1-O.10 )
  • Solve a system of equations using any method ( A1-O.14 )
  • Checkpoint: Solve linear equations and inequalities ( A1 )
  • Checkpoint: Systems of equations and inequalities ( A1 )

6-8 Quadratic functions and equations

6 the student applies the mathematical process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations., a determine the domain and range of quadratic functions and represent the domain and range using inequalities;.

  • Domain and range of quadratic functions: graphs ( A1-Y.9 )
  • Domain and range of quadratic functions: equations ( A1-Y.10 )

B write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)²+ k), and rewrite the equation from vertex form to standard form (f(x) = ax²+ bx + c); and

  • Write a quadratic function from its vertex and another point ( A1-Y.11 )

C write quadratic functions when given real solutions and graphs of their related equations.

  • Match quadratic functions and graphs ( A1-Y.8 )
  • Write a quadratic function from its x-intercepts and another point ( A1-Y. )

7 The student applies the mathematical process standards when using graphs of quadratic functions and their related transformations to represent in multiple ways and determine, with and without technology, the solutions to equations.

A graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry;.

  • Characteristics of quadratic functions: graphs ( A1-Y.1 )
  • Characteristics of quadratic functions: equations ( A1-Y.2 )
  • Graph quadratic functions in vertex form ( A1-Y.5 )
  • Graph quadratic functions in standard form ( A1-Y.7 )

B describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions; and

  • Solve a quadratic equation using the zero product property ( A1-Z.2 )
  • Solve a quadratic equation by factoring ( A1-Z.3 )

C determine the effects on the graph of the parent function f(x) = x² when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d.

  • Transformations of quadratic functions ( A1-Y.4 )
  • Checkpoint: Graphs and transformations of quadratic functions ( A1 )

8 The student applies the mathematical process standards to solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data.

A solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula; and.

  • Solve a quadratic equation using square roots ( A1-Z.1 )
  • Complete the square ( A1-Z.4 )
  • Solve a quadratic equation by completing the square ( A1-Z.5 )
  • Solve a quadratic equation using the quadratic formula ( A1-Z.6 )
  • Solve quadratic equations: word problems ( A1-Z.7 )
  • Using the discriminant ( A1-Z.8 )

B write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.

  • Checkpoint: Write quadratic functions ( A1 )
  • Checkpoint: Solve quadratic equations ( A1 )

9 Exponential functions and equations

9 the student applies the mathematical process standards when using properties of exponential functions and their related transformations to write, graph, and represent in multiple ways exponential equations and evaluate, with and without technology, the reasonableness of their solutions. the student formulates statistical relationships and evaluates their reasonableness based on real-world data., a determine the domain and range of exponential functions of the form f(x) = ab to the x power and represent the domain and range using inequalities;.

  • Domain and range of exponential functions: graphs ( A1 )
  • Domain and range of exponential functions: equations ( A1 )

B interpret the meaning of the values of a and b in exponential functions of the form f(x) = ab to the x power in real-world problems;

  • Exponential growth and decay: word problems ( A1-V.8 )

C write exponential functions in the form f(x) = ab to the x power (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay;

  • Write exponential functions: word problems ( A1-V.7 )

D graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems; and

  • Graph exponential functions ( A1-V.2 )
  • Match exponential functions and graphs I ( A1-V.3 )
  • Match exponential functions and graphs II ( A1-V.4 )

E write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.

  • Checkpoint: Exponential functions ( A1 )

10-12 Number and algebraic methods

10 the student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions., a add and subtract polynomials of degree one and degree two;.

  • Add and subtract polynomials using algebra tiles ( A1-W.3 )
  • Add polynomials to find perimeter ( A1-W.5 )
  • Add and subtract polynomials ( A1 )

B multiply polynomials of degree one and degree two;

  • Multiply a polynomial by a monomial ( A1-W.6 )
  • Multiply two binomials using algebra tiles ( A1-W.7 )
  • Multiply two binomials ( A1-W.8 )
  • Multiply two binomials: special cases ( A1-W.9 )
  • Multiply polynomials using area models ( A1-W.10 )
  • Multiply polynomials ( A1-W.11 )

C determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend;

  • Divide polynomials by monomials ( A1 )
  • Divide polynomials using long division ( A1 )

D rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property;

  • Distributive property ( A1-B.6 )

E factor, if possible, trinomials with real factors in the form ax² + bx + c, including perfect square trinomials of degree two; and

  • Factor quadratics using algebra tiles ( A1-X.3 )
  • Factor quadratics with leading coefficient 1 ( A1-X.4 )
  • Factor quadratics with other leading coefficients ( A1-X.5 )
  • Factor quadratics: special cases ( A1-X.6 )

F decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial.

  • Checkpoint: Polynomial operations ( A1 )

11 The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms.

A simplify numerical radical expressions involving square roots; and.

  • Simplify radical expressions ( A1-EE.1 )
  • Add and subtract radical expressions ( A1-EE.5 )
  • Simplify radical expressions using the distributive property ( A1-EE.6 )
  • Simplify radical expressions using conjugates ( A1-EE.7 )
  • Simplify radicals with fractions ( A1 )
  • Multiply radicals ( A1 )

B simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.

  • Powers with integer bases ( A1-R.1 )
  • Powers with decimal and fractional bases ( A1-R.2 )
  • Negative exponents ( A1-R.3 )
  • Multiplication rule for exponents ( A1-R.4 )
  • Division rule for exponents ( A1-R.5 )
  • Power rule for exponents ( A1-R.6 )
  • Simplify exponential expressions using the multiplication rule ( A1-R.7 )
  • Simplify exponential expressions using the division rule ( A1-R.8 )
  • Simplify exponential expressions using the multiplication and division rules ( A1-R.9 )
  • Simplify exponential expressions using the power rule ( A1-R.10 )
  • Evaluate expressions using exponent rules ( A1-R.12 )
  • Identify equivalent exponential expressions I ( A1-R.13 )
  • Identify equivalent exponential expressions II ( A1-R.14 )
  • Evaluate integers raised to positive rational exponents ( A1-S.1 )
  • Evaluate integers raised to rational exponents ( A1-S.2 )
  • Multiplication with rational exponents ( A1-S.3 )
  • Division with rational exponents ( A1-S.4 )
  • Power rule with rational exponents ( A1-S.5 )
  • Simplify expressions involving rational exponents ( A1-S.6 )
  • Checkpoint: Exponents and radicals ( A1 )

12 The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions.

A decide whether relations represented verbally, tabularly, graphically, and symbolically define a function;.

  • Identify functions ( A1-M.4 )
  • Identify functions: vertical line test ( A1-M.5 )

B evaluate functions, expressed in function notation, given one or more elements in their domains;

  • Evaluate a function ( A1-M.7 )
  • Complete a function table from an equation ( A1-M.10 )
  • Evaluate piecewise-defined functions ( A1-Q.1 )
  • Evaluate an exponential function ( A1-V.1 )
  • Complete a function table: quadratic functions ( A1-Y.3 )

C identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes;

  • Evaluate variable expressions for number sequences ( A1-U.4 )
  • Evaluate recursive formulas for sequences ( A1-U.5 )
  • Write a formula for a recursive sequence ( A1-U.9 )

D write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms; and

  • Write variable expressions for arithmetic sequences ( A1-U.7 )
  • Write variable expressions for geometric sequences ( A1-U.8 )

E solve mathematic and scientific formulas, and other literal equations, for a specified variable.

  • Rearrange multi-variable equations ( A1-C.18 )
  • Linear equations: solve for y ( A1-L.8 )
  • Checkpoint: Sequences ( A1 )
  • Checkpoint: Function concepts ( A1 )

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At the high school level, you can be most certain that a word problem is going to require you to form an equation or at least a basic expression along the process of solving it. When you first approach a high school word problem start by breaking down the anatomy of what is being asked of you. What type of solution are they look for here, then work backwards and see what values are involved to devise a solution? These values will be used to final the answer, you just need to determine which math operations are required to get there. In the greater majority of high school problems, it is all above creating an equation, from scratch, that describes the relationship of the variables and then plugging the given values in.

Your students will solve simple, moderately difficult, and multi-step high-school level word problems. This set of worksheets contains step-by-step solutions to sample problems, as well as both simple and more complex practice problems. Ample practice problems are provided in twenty-five two-page worksheets, each containing ten word problems. Themes include calculating mixtures, calculating concentration, triangulation, travel, movement of water, calculating perimeters, geometry, distance, circles, calculating savings, and more. Worksheets containing general assortments of word problems include real-world situations like handling money, portioning, finding ratios, etc. This set of worksheets also contains lessons and step-by-step solutions to solving sample problems, as well as both simple and more complex practice problems. Students will require additional paper on which to write and solve their equations. When finished with this set of worksheets, students will be able to solve a variety of moderately complex word problems at the high school level. These worksheets explain how to solve a variety of different types of one and two-step word problems. Sample problems are solved and practice problems are provided.

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High school word problems worksheets, click the buttons to print each worksheet and answer key., all mixed up worksheet page 1.

A feed and grain shop makes 140 bushels of a mixture of corn and oats. If a bushel of oats costs 80 cents and a bushel of corn costs $1.50, how many bushels of each are needed to make a mix that sells at $1.20 a bushel?

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All Mixed Up Worksheet Page 2

Rosemary and thyme are seasonings that blend well together in taste. Thyme sells for $1.35/oz and rosemary sells for $1.85/oz. If a mix of both spices weighing 20 oz sells for $1.65/oz, how much of each spice does the mix contain?

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Calculating Mixtures Worksheet Page 1

A farmer is preparing cattle feed. Ground corn is 6% protein and soybean meal is 12% protein. How many pounds of each should be mixed together to produce 240 pounds of a mixture that is 9% protein?

Calculating Mixtures Worksheet Page 2

A cereal company wants to make a raisin bran cereal from cereal that sells for $2.20/lb with raisins that sell at $4.20/lb. How many pounds of cereal and how many pounds of raisins should they put in the mix if they want a 20 pound mixture to sell at $3.00/lb.?

Calculating Concentrations Worksheet Page 1

A pharmacist at the local hospital needs 70 liters of a 50% alcohol solution. There are containers with a 30% alcohol solution and an 80% solution of alcohol. How many liters of each are needed to produce 70 liters of a 50% alcohol solution?

Calculating Concentrations Worksheet Page 2

An alloy of tin is 16% tin. How much tin, calculated to the nearest tenth of a pound, must be added to make 820 pounds of alloy that is 18% tin?

Triangulation Worksheet Page 1

A square boxing ring is 20 feet wide. Approximately how far apart are the boxers when they are in opposite corners of the ring before the start of each round?

Triangulation Worksheet Page 2

A rectangular room has a length that is 1 foot less than twice its width. If the diagonal of the room is 17 feet, find the dimensions of the room.

Calculating Perimeter Worksheet Page 1

A rectangle has a length that is 6 inches longer than its width. If the area is 112 square inches, what is the length and width of the rectangle?

Calculating Perimeter Worksheet Page 2

If the perimeter of a rectangle is 84 yards and the length of a rectangle is 2 yards more than four times the width, what are the dimensions of the rectangle?

Finding Concentrations Worksheet Page 1

A chemical solution contains 1% salt. How much salt is in 2.5ml of solution?

Finding Concentrations Worksheet Page 2

The pharmacist needs to formulate a pediatric cough medicine. Adult cough medicine contains 25% alcohol. How much liquid should the pharmacist add to 120 milliliters of cough medicine so that it contains the pediatric dose of 20% alcohol?

Random Math Worksheet Page 1

Nail polish remover is made by adding water to the chemical substance acetone. How much pure acetone must be mixed with a 40% acetone solution to make 30 oz of 58% acetone solution?

Random Math Worksheet Page 2

With a tailwind, a Gullwing aircraft can fly 900 miles in 5 hours. With a headwind of the same speed, the aircraft can fly the same distance in 6 hours. What is the average wind speed and the average air speed of the aircraft?

Mixed High School Math Worksheet Page 1

Juan has a coin collection of dimes, quarters, and silver dollars. The number of quarters is 5 less then three-fourths of the number of dimes. The number of the silver dollars is 7 more than five-eighths of the number of dimes. There are 116 coins in all. How many dimes, quarters, and silver dollars does Juan have?

Worksheet Page 2

Chau invested a total of $15,000 in two accounts paying 4% and 5% simple interest. She gets $700 in annual interest. How much money is invested in each fund?

Travel Word Problems Worksheet Page 1

Two trains leave Chicago traveling the same direction on parallel tracks. The first train is traveling at 72 mph and the second train is traveling 66 mph. How long will it take for them to be 45 miles apart?

Travel Worksheet Page 2

James started his journey on his bicycle at 7:30 am at a speed of 8 mph. After 30 minutes, Jason started from the same place on his bicycle but with a speed of 10 mph. At what time did Jason meet up with James?

Up and Down the River Worksheet Page 1

When traveling with the current, a boat goes 60 miles in 3 hours, but against the current it takes 2 hours longer to make the return trip. What is the speed of the current?

Up and Down the River Worksheet Page 2

During fishing season a conservation officer is patrolling a river that flows at a rate of 5 miles per hour. The patrol boat travels 40 miles upriver and returns in a total of 6 hours. What is the speed of the boat in still water?

Crazy Mixed Worksheet Page 1

The English class assignment is to read Shakespeare's Hamlet. Seth starts reading at 4:30 pm and reads 30 pages an hour. Jamaal starts reading at 5:20 pm and reads 40 pages an hour. At what time will they be reading the same page if they both began on page 1?

Crazy Mixed Worksheet Page 2

If Edgar can mow a yard in 4 hours and Arnold can mow the same yard in 6 hours, how long would it take for both of them to mow the yard together?

Wet/Water Worksheet Page 1

A salt water aquarium is 28 inches long, 14 inches wide and 24 inches high. How deep is the salt water if its volume is 7644 cubic inches?

There are 42 teachers at Central High School. The principal’s report to the school board states that the student teacher ratio is 27.5 to 1. How many students are there?

Think of the Possibilities Worksheet Page 1

A 20-foot piece of pipe is cut into 2 pieces. One piece is 4 times longer than the other. How long are the pieces?

Annette is a graphic designer and she has a contract to paint advertising on a 40 square foot sign. The length of the rectangular sign is 3 feet longer than the width. What are the dimensions of the sign?

Simple Internet Worksheet Page 1

Sherese buys a bond for $613.81. When the bond matures in 10 years it will be redeemed for $1,000 with compound interest. What is the interest rate of the bond?

Uptown Department Store charges 21.9% annual rate for overdue accounts. Unfortunately Joshua has overspent and owes $6,168 on an account at the store that is 2 months overdue. How much does he owe in total?

Geometry Word Problems Worksheet Page 1

The perimeter of a triangular garden in the city park is 100 feet. If the length of side 1 is 10 feet less than the length of side 2 and the length of side 3 is 25 feet more than side 1, what is the length of side 2 in feet and inches?

A cylindrical can of green beans in the school cafeteria’s kitchen has a radius of 5 inches and a volume of 785.25 cubic inches. How tall is the can?

Potpourri Worksheet Page 1

Phillippe is making teepee. The size of the teepee will be 12 feet in diameter and 8 feet tall in the center. How long should the support pieces be for the teepee?

Potpourri Worksheet Page 2

The bottom of a 25 foot ladder is leaning against a barn. If the bottom of the ladder is 7 feet from the house on level ground, how high on the barn does the ladder reach?

What a Find Worksheet Page 1

When Raul works more than 30 hours in a week he is paid 1.4 times his regular hourly rate for each overtime hour he works. If he worked 35 hours and earned $436.60, what is his regular hourly rate?

Consuelo is 10 years older than her brother Javier. Next year she will be twice as old as him. How old are they now?

Probability Problems Worksheet Page 1

The school band was selling raffle tickets to raise money for a trip. If the odds of winning the raffle are 17 to 200, what is the probability (as a percent) of a ticket holder winning?

Probability Problems Worksheet Page 2

A standard deck of playing cards contains 52 cards; thirteen of the cards are diamonds. Two cards are drawn at random from the deck without replacement. What is the probability (expressed as a percent) of drawing two diamonds?

On the Track Worksheet Page 1

An Amtrak train traveled 150 miles in 3 hours. When it reached an urban area it reduced its speed by 20 miles per hour for 2 hours. How many miles did the train travel?

Jamarr paid $64.38 for a coat during a 35% off sale. What was the original selling price?

Find the Solution Worksheet Page 1

An alien land rover on Mars travels 1 mile in 45 seconds. At this speed, how many miles will the rover cover in 1 hour?

Eduardo works as a real estate agent and recently he earned $4,725 for selling a house. Since he makes 6% commission for each sale, what was the selling price of the house?

Vampires, Fractions, and Time Word Problems Worksheet Page 1

A small board measures 1/2 inch by 2 inches by 36 inches. How many boards will fit in a box 2 1/2 inches by 28 inches by 36 inches?

A furniture store is selling a dining set for $637 which is 35% off the regular price. What is the regular price of the dining set?

Going in Circles Worksheet Page 1

A machine has two interlocking circular gears. The larger gear has 72 teeth and smaller gear has 48 teeth. How many complete revolutions does the larger gear make while the smaller gear makes 9 complete revolutions?

The ratio of the area of circle 1 and circle 2 is 16:9. What is the ratio of the circumferences?

Saving Up Word Problems Worksheet Page 1

A ship travels 300 miles due east, then sails 100 miles due south. How many miles away is the ship from its starting point?

A cylindrical drum has a diameter of 3 feet and a volume of 65 cubic feet. What is the height of the drum?

Candy Bar Math Worksheet Page 1

Damarco bought a new area rug for his apartment. The length of the rug is two feet longer than the width and the perimeter of rug is 44 feet. What is the area of the rug in square feet?

A Valentine box of chocolates contains 20 identical round chocolates. Four are filled with jelly, seven are filled with nuts, and nine are filled with crème. What is the probability that one chocolate chosen at random is filled with crème or nuts?

Math Revolution Worksheet Page 1

How many revolutions will a truck wheel with a diameter of 32 inches make if the truck travels a distance of seven miles?

Math Revolution Worksheet Page 2

Minh stopped at the minimart and bought three chocolate bars and a pack of gum costing $1.75. The following week Minh returned to the store and bought two chocolate bars and four packs of gum at the same prices as previously. This time he paid $2.00. What is the price of a chocolate bar and the price of a pack of gum?

Moderate Word Problems Lesson

Define a variable, write an inequality, and solve the problems. Anna has to buy books, pens and stamps. She has more than $100; she purchased books for $31, pens for $21 and stamps for $30. What is the least amount of money she could have left?

Lesson and Practice

Find the minimum height of the 1st floor, if the height of 2nd floor is less than 42m, which is double the height of the 1st floor.

The length of Charlie’s room is 12 ft. If the area of the room is at least 96 square feet, what is the smallest width the room could have?

Moderate Practice

The low temperatures for the last two days were 20° and 25°. What must the low temperature for the next day be in order for the average temperature for the 3-day period to be less than 22°?

Moderate Drill

James got a 30% and a 40% on his first two computer tests. What must he get on his third test to have at least an average of 45%.

What will be the least value of the number, if the other numbers are 23, 45, 34, 12 and the sum is 136?

Word Problems with Parts Lesson

In above chart, each division represents 10 km distance traveled and with each division, distance traveled increases by 10 km. this means that the upper division can be filled by adding 10 km to previous division data.

Mary's mother divides a pie among her five sons, the first one gets 20%, the second one gets 25%, the third one gets 30%, the fourth one gets 10%, and the fifth one gets the rest. How much does each one's slice weighs if total pie weighs 250 grams?

The chart shows data of a car that travels at a speed of 30 miles per hour for a distance of 150 miles. Answer the following question.

Practice Sheet

A car gets 40 km per gallon of gasoline. How many gallons of gasoline would the car need to travel 200 km?

The With Parts Drill

How long will it take to complete half of the journey?

Parts Warm Up

Water flows into a pool of 2000 liters at a steady rate of 3.5 liters per second. Answer the following.

Multi step word problems

Examples from our community, 10,000+ results for 'multi step word problems'.

MULTI-STEP WORD PROBLEMS

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  • JSS1 Online Class & Lesson notes

JSS1 First Term Mathematics Junior Secondary School

Word problems

  • When 5 is added to a certain number, the result is 6. Find the number.
  • I think of a number and subtract 7 from it. The result is 10. Find the number.
  • Find the number which when multiplied by 4, the result is 36.
  • When a certain number is divided by 15, the result is 6. Find the number.

Capture10.13

Therefore, the number = 6-5 = 1

Calculation:

Let number be x, then,

subtract 5 from both sides:

x + 5 – 5 = 6 – 5

Therefore, x = 1.

Capture10.14

CLASS ACTIVITY: Simplify the following:

  • Find the number which when 3 is subtracted from, the result is 4.
  • Kolade was given a certain amount of money as allowance. He spent £405 and he has £395 left. How much did he have left?
  • Find the number which when multiplied by 5 / 2 , it gives 10
  • When 4 is multiplied by a certain number and divided by 3, the result is 5. Find the number?

PRACTICE QUESTIONS

  • Simplify the following
  • (+20) ÷ (-10)
  • (-14) ÷ (-7)
  • (+60) ÷ ((-3) x (-5))
  • ((-2) x (-12)) ÷ (+6) 2
  • (-8) x (+5) ÷ (-10)

Capture10.15

  • Copy and complete the following

Capture10.16

  • I think of a number, added 12 to it and the result gives 20. What number did I think of?
  • When 4is subtracted from 5 times a certain number, the result is 26. What is the number?
  • Three quarters of a certain number is 18. Find the number.
  • A man borrowed a certain amount from a cooperative society and was to pay back in 12 equal installments. If each payment is £1500, what is the sum of money borrowed?

MAKE-MONEY

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Word Problem Worksheets for Grades 6-12

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60 of the Best Riddles for Kids: Can You Solve Them?

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By Molly Pennington, PhD

Updated: Mar. 14, 2024

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Put on your thinking cap for these riddles for kids! Find all the answers from the easiest riddles for kids to the hardest riddles for kids and everything in between.

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Riddle me this

Grown-ups aren’t the only ones who enjoy a good thought-provoking question. Riddles are just brain-teasers that use language. They help us exercise our brains in a different way than we normally do day-to-day. They are especially good for kids because riddles will ultimately help them with critical thinking and problem-solving skills. It may even help them learn new vocabulary and teach them to read in a new way. These riddles for kids can be great for all ages—even kindergarteners! We have everything from easy riddles for kids all the way to hard riddles for kids. If you like these, there are plenty more where these came from. Try out some visual puzzles, animal riddles , and even get the big people thinking with the best riddles for adults.

Riddle

Easy Riddles: Now you see me

You can touch me, but I can’t touch you back. You can see me, but I only reflect you and can never reject you. What am I?

Answer: A mirror

This is a riddle that encourages children to think outside the box and consider the clues from new and different angles. To give them a hint, encourage them to think about the word “reflect” and what it means.

Check out these Christmas riddles that’ll give your brain a workout (while spreading holiday cheer).

math word problems junior high

Riddle: Cold calling

I can travel at nearly 100 miles per hour, but never leave the room. You can cover me up, but that doesn’t slow me down. You will not know if I come only once or again and again and again. What am I?

Answer: A sneeze

“Bless you!”

Can you solve this viral riddle about Teresa’s daughter ? It’s not as easy as you think!

math word problems junior high

Riddle: Changing tide

People have stepped on me, but not many. I never stay full for long. I have a dark side. What am I?

Answer: The moon

This riddle offers an opportunity for your kids to learn more about the moon. Here are some free printable brain teasers that’ll really bust your brain.

math word problems junior high

Riddle: Food for thought

I am always running, but never get tired or hot. What am I?

Answer: The refrigerator

If your kids learn the double meaning of running, they’re set when it comes to jokes and gags. Introduce them to the limerick for more comedy gold. Speaking of comedy gold—check out these short jokes for kids that are easy to remember.

math word problems junior high

Riddle: Rock on

I have a head much smaller than my long neck. People who play with me pick at me and that’s fine. What am I?

Answer: A guitar

It doesn’t actually matter if your child figures out the answer or not. The fun and learning come from playing with the riddle and discussing the different nuances. Even a wrong answer is a learning tool.

RELATED: Scavenger Hunt Riddles

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Riddle: Picture perfect

I look like you, but I am not you. You can blow me up or find me in a wallet. Share me or frame me, both are nice. What am I?

Answer: A photograph of you

Explain the concept of “blowing up” and how it relates to pictures and images–that might be difficult for smaller children to get in the age of digital pictures. Check out these Thanksgiving riddles the whole family will love.

math word problems junior high

Riddle: Field day

I sound like I could cut you, but I’m actually quite comfortable. I can be green or yellow. I can be stiff or soft. I am a friend to bugs and also bare feet. What am I?

Answer: A blade of grass

This is the kind of riddle that makes everyone want to get up and go outside. Hope you’ve got a bright sunny day. See how many of these Easter riddles you can solve—they’ll have you hunting for answers.

math word problems junior high

Riddle: Feel for it

I can be red or blue—I am always changing. I can ruin your day or lift you up. I am always with you except when you sleep. What am I?

Answer: Your mood

Have open conversations with your kids about being both angry and sad, as well as happy. They’re kids, but they still have a lot of emotions to deal with. Keep these funny tongue twisters for kids handy in case you feel the need to lighten up the conversation.

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Riddle: Drink up

I have a stem, but I am not a flower. I have a foot, but I cannot hop. Children are too young to hold me. What am I?

Answer : A wine glass

Here’s a chance to learn about the different parts of a wine glass—and it’s fine for kids to learn too even if you’ve told them it’s a fancy juice cup.

RELATED: Riddles for Teens (with Answers)

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Riddle: Solar system

I have seven rings made of rock and ice, but you cannot wear them on your fingers. They are way, way too big. What am I?

Answer: Saturn

This riddle gives you a great opportunity to talk about science and astronomy with your child. Let them know about Saturn’s seven rings that are not like the first rings that may come into their minds. Wordplay lets them stretch their critical thinking skills.

math word problems junior high

Riddle: Grin and bear it

I can be open or closed, or big or small. I can reveal the truth or hide it. I am almost always welcome and can spring up unannounced. Everyone has one, but not everyone shares. Laughter comes after me. What am I?

Answer: A smile

Hopefully, this riddle brings an easy smile to your children’s faces. Riddles are fun to contemplate with a group of kids who can help each other think through it.

math word problems junior high

Riddle: Close-knit

I am round as a sphere but then become something else. I am also one hundred yards long, or even longer. What am I?

Answer: A ball of yarn

math word problems junior high

Riddle: Add flavor

We come in a set. We can dash or pour. If we’re too much, the serving is ruined. If we’re held back, the course is flat. What are we?

Answer: Salt and pepper

Encourage kids to think about the puns and double meanings in the clue. Serving and course could be mistaken for outside activities like tennis or golf. This riddle helps children learn the different nuances of words like dash, which here means a small amount and not just a quick jaunt.

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Riddle: Lifeforce

I am light and seem to have no substance at all. But even the strongest person in the world can’t hold me for very long. What am I?

Answer: Breath

Take a deep breath and give any riddle some deep thought. The answer may just flow in. Did you know meditation boosts brainpower?

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Riddle: Go with the flow

I don’t have money, though I do have banks. I feed others, though I don’t eat. Cross me if you can, I won’t be mad. What am I?

Answer: The mouth of a river

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Riddle: Build it

You can play me with cards, but don’t burn me. Rest glasses on me or walk across me. What am I?

Answer: A bridge

Have you ever propped your legs up on an ottoman to play bridge with youngsters? Or propped glasses on the bridge of your nose. This brainteaser asks kids to move past their first thought.

RELATED: “What Am I?” Riddles

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Riddle: Just right

Have you ever heard the story of Goldilocks? When your shoes are off what trait do you share with the animals the girl in the story bothers?

Answer: Bare feet

This riddle is a great one to give to toe-wigglers after a bedtime story.

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Riddle: Sweet dreams

How should you satisfy your sweet tooth when it’s way after bedtime?

Answer: Eat choco-late

Riddles offer teachable moments that are always fun. It’s another riddle that teaches spelling and shows children the way the word “late” is in chocolate even though it’s pronounced differently. Time for a midnight snack! Next up, see if you can pass this seemingly easy fourth grade spelling quiz .

math word problems junior high

Riddle: Sweet treat

What kind of cup doesn’t hold water?

Answer: Cupcake or hiccup

This is another one of those riddles for kids that can also prove super challenging for grown-ups. Though you may be clued into the fact that you’re looking for something beyond a teacup, the two potential answers are tricky to find.

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Riddle: Pumpkin patch

My name seems harsh, but I am still and silent. You are supposed to eat me, but some display me. My name is not easy to do to me because I am hard on the outside. What am I?

Answer: A squash

The word squash has so many different meanings!

math word problems junior high

Riddle: Squeeze me

I am made to absorb, and I can hold liquid even though I’m full of holes. What am I?

Answer: A sponge

Was that too easy? That’s just fine! There’s plenty more where this came from.

math word problems junior high

Riddle: Take a seat

What has legs, but doesn’t walk?

Answer: A table

This riddle helps kids learn to think figuratively. The answer is an object that does have legs, just not the kind that first springs to mind. Encourage kids to think of what household items have legs as they try to figure out this riddle.

math word problems junior high

Riddle: Time out

What’s really easy to get into, and hard to get out of?

Answer: Trouble

When kids learn the answer to this fun riddle, they’ll get a kick out of the play on words.

RELATED: Easy Riddles (with Answers)

math word problems junior high

Riddle: Rainy day

I run, but I don’t walk. I drip and drop, but I can’t pick myself up. You have to consume me and sometimes I surround you. What am I?

Answer: Water

To figure out this riddle, encourage kids to think about the clues that can happen and let go of the clues that can’t.

math word problems junior high

Riddle: Who’s there?

I get answered even though I never ask a question. What am I?

Answer: A door knock or doorbell

This one is a gimme if you encourage your child to think about the word answered and what it can apply to in their everyday world.

math word problems junior high

Hard Riddles: Wise one

It’s good to stretch me and push my limits. The more you use me, the stronger I get. When I am sharp, I at my best. What am I?

Answer: Your brain

math word problems junior high

Riddle: State of mind

Mississippi has four S letters and four I letters. Can you spell that without using S or I?

Answer: T H A T (spell that)

Now, try to solve this “how many letters are in the alphabet” riddle —it’s not as simple as you think.

math word problems junior high

Riddle: Letter box

What letter of the alphabet appears at the start of questions?

Answer: The letter Y (why)

If your child gets stumped go through the alphabet and figure out which letters sound like other words such as T and “tea” or C and “sea” or “see.” These homonyms, words that sound the same, but have different meanings, encourage your children to stretch their thinking beyond the obvious. U C? (You see?) Have fun!

RELATED: Bible Riddles

math word problems junior high

Riddle: Second-guessing

One year has 365 days. How many seconds are in a year?

Answer: 12 (the second day of each month)

Very tricky!

math word problems junior high

Riddle: Gold star

When does achievement come before drive, goals, and pursuit?

Answer: In the dictionary

If you have a little one who loves wordplay, then this riddle is perfect.

math word problems junior high

Riddle: Good-looking

If you take away one hand, some will remain. What am I?

Answer: Handsome

Awwww . That’s a pretty cute riddle.

math word problems junior high

Riddle: Built for speed

If it takes 20 workers to 20 hours to build a garage from start to finish. How long will it take ten workers to complete the same project?

Answer: No time. The job is complete.

Hopefully, this answer gets a laugh.

math word problems junior high

Riddle: Parental guidance

A doctor drops off a young boy at school every morning before work. The doctor is not the child’s father, but the child is the doctor’s son. Explain.

Answer: The doctor is the boy’s mom

This is a great riddle for helping children understand their assumptions about gender. It’s a problem if they assume that a neutral noun like doctor automatically suggests a man.

RELATED: Mr. Smith Had 4 Daughters: Try to Solve the Viral Riddle

math word problems junior high

Riddle: Runs in the family

Four siblings stood underneath an umbrella. Two were holding dogs and two were holding cats. How did they all keep from getting wet?

Answer: It wasn’t raining

Sometimes it’s all too easy to follow a detail like “standing under an umbrella” and make assumptions about rain. This riddle encourages children to think through all the information they’re given. Help them to learn the ways they assume things, so they can think more critically.

math word problems junior high

Riddle: Daydream believer

Imagine the following: You are alone in a forest and you hear a noise. You realize you are being followed. You begin to run as fast as you can, but whatever is following is getting closer and closer. How do you escape?

Answer: Stop imagining that scenario and imagine something else

This riddle can be adapted for any type of situation. It’s a great one for teaching kids the power of positive thinking. They also learn ways to manage anxiety by taking control of their own thoughts.

math word problems junior high

Riddle: Time travel

What comes once in a second, twice in a decade, but just a single time in a century?

Answer: The letter E

This riddle is a great one for the little bookworms in your life who love to play with words. This brain-twister asks kids to look at the components of the words and the sentence, not just think about its meaning.

math word problems junior high

Riddle: Double digits

What do the numbers 11 and 88 have in common?

Answer: They both look the same upside-down and backward.

Get ready for kids to do some flip-flop thinking on this one. The answer doesn’t require math skills, but rather a consideration of the way the numbers look. You might want to have them write the digits out and turn the paper in different directions to make sense of this riddle.

math word problems junior high

Riddle: Dinner time

I’m always on the dinner table, but you don’t get to eat me. What am I?

Answer: Plates and silverware

The best riddles for kids play with their sense of imagination and encourage them to think critically.

RELATED: 35 People with Higher IQs Than Einstein

math word problems junior high

Riddle: Birdcall

What’s bright orange with green on top and sounds like a parrot?

Answer: A carrot

This is one of the trickier riddles for kids because it sends them into the direction of thinking of different types of birds. The article “a,” “ a parrot,” is a bit clunky, because if the riddle used “sounds like parrot” or “rhymes with parrot,” kids would probably get the answer right off the bat.

math word problems junior high

Riddle: Mellow yellow

There’s a one-story house where everything is yellow. The walls are yellow. The doors are yellow. Even all the furniture is yellow. The house has yellow beds and yellow couches. What color are the stairs?

Answer: There aren’t any stairs—it’s a one-story house.

Riddles with scenarios try to trip you up by assuming you’ll focus on highlighted details and forget the detail that pulls you toward the answer. These kinds of riddles for kids help them with listening skills and precision.

math word problems junior high

Riddle: Easy as ABC

What word contains 26 letters, but only has three syllables?

Answer: Alphabet

Riddles are famous for being tricky. The most fun riddles for kids stimulate their imagination and jumpstart a tendency to think wisely. This riddle helps kids practice brainstorming for long vocabulary words until they realize the word they’re actually looking for.

math word problems junior high

Riddle: Talk the talk

What can you hear, but not see or touch, even though you control it?

Answer: Your voice

Riddles for kids challenge their understanding of language. This riddle encourages kids to think conceptually about the way they experience the world.

math word problems junior high

Riddle: Safety first

A girl fell off a 20-foot ladder. She wasn’t hurt. Why?

Answer: She fell off the bottom step.

Hopefully, riddles for kids that feature scary scenarios aren’t stressful, but rather help them learn how to problem-solve. Sure, that ladder’s really tall, but under what circumstances could a fall remain safe? Help your child talk through the options until they hit on the answer.

RELATED: Strategy Board Games

math word problems junior high

Riddle: Take a look

What has lots of eyes, but can’t see?

Answer: A potato

Riddles for kids should be challenging, but they also need to be gettable. Ideally, kids get a chuckle or an “aha moment” when they finally figure the answers out. This riddle’s answer relies on getting kids to think in a new way about eyes and they might even learn a new fact or two about sprouts.

math word problems junior high

Riddle: Best pals

I am often following you and copying your every move. Yet you can never touch me or catch me. What am I?

Answer: A shadow

This is a great riddle for kids when they’re playing outside because you can demonstrate the answer if the lighting is right.

RELATED : Brain Teasers for Kids

math word problems junior high

Riddle: Storytime

Grandpa went out for a walk and it started to rain. He didn’t bring an umbrella or a hat. His clothes got soaked, but not a hair on his head was wet. How is this possible?

Answer: Grandpa was bald

Situation or story riddles for kids help them focus on details and develop logic skills. You’ll enjoy watching them problem-solving and helping them out.

math word problems junior high

Riddle: Unwrap it

You are always living in me. No matter how much time goes by I am still right there with you. What am I?

Answer: The present moment

Time goes by, fast or slow, but the present is right there. This riddle can teach kids about living in the now through thinking of a different definition of present beyond the kind they’re used to—wrapped up gifts!

math word problems junior high

Riddle: Watch out

What has hands, but can’t clap?

Answer: A clock

This riddle is great for kids to learn that words can have several different meanings. They’ll enjoy learning the alternate definitions for hands and get practice expanding their vocabulary.

RELATED: Brain Games

I add lots of flavor and have many layers, but if you get too close I'll make you cry. What am I?

Riddle: Teardrops

I add lots of flavor and have many layers, but if you get too close I’ll make you cry. What am I?

Answer: An onion

Riddles for kids train them to think critically and conceptually. To get the answer, they’ll have to learn to go beyond the obvious, push past their first thoughts, and think in the abstract to find the answer.

math word problems junior high

Riddle: Buy a vowel

You see me once in June, twice in November, but not at all in May. What am I?

Answer: The letter “e”

In this riddle, kids may benefit from a clue. To help them out, ask them what letter follows those rules? 52 / 61

math word problems junior high

Riddle: Cross your heart

What can you break, even if you never pick it up or touch it?

Answer: A promise

Encourage kids to think conceptually as they consider this riddle. They’ll need to think about the kinds of things that can get broken. Help them look beyond objects to concepts. Riddles often rely on conceptual and critical thinking to find the answer.

math word problems junior high

Riddle: Play outside

I run along your property and all around the backyard, yet I never move. What am I?

Answer: A fence

To find the answer to this riddle, you need to think beyond the more obvious meaning of the word “run.”

math word problems junior high

Riddle: Sunnyside up

I have to be opened, but I don’t have a lid or a key to get in. What am I?

Answer: An egg

Some riddles are frustrating. They’re designed to trip you up and make you twist your thinking style into new positions. Guide your kids through the challenge. It’s not always about getting it right, but understanding why the answer makes sense.

RELATED: Printable Sudoku Puzzles

math word problems junior high

Riddle: Weight for it

Which is heavier: a ton of bricks or a ton of feathers?

Answer: Neither, they both weigh the same.

Everyone loves this classic brain-twister. The answer relies on the details. Kids need to avoid the distraction of heavy bricks and light feathers and focus on the actual unit of weight in the clue.

math word problems junior high

Riddle: Hey bro!

Tom’s father has three sons. The first two are named Jim and John. What is the third one’s name?

Answer: Tom

Does this one feel too easy? You’d be surprised how often kids miss the answer that’s right there in the clue.

math word problems junior high

Riddle: Bless you!

What can you catch, but not throw?

Answer: A cold

The answer to this riddle relies on an idiom, a turn of phrase, with which they may not be familiar. It’s another riddle that encourages kids to think beyond objects to find the answer in the abstract.

math word problems junior high

Riddle: Just up ahead

I am always in front of you and never behind you. What am I?

Answer: Your future

Kids will probably need some help coming up with this conceptual answer. Encourage them to think creatively and in the abstract. Help kids avoid frustration and stay positive during the challenge of a hard riddle.

math word problems junior high

What kind of band never plays music?

Answer: A rubber band

This one seems obvious, but it can still be tricky. Encourage kids to think past their immediate association with the word “band.” After they think of marching bands and rock bands, ask them what other kinds of bands come to mind.

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math word problems junior high

Riddle: Trick time

Which month of the year has 28 days?

Answer: All of them

This riddle is very tricky because it seems to ask for just one month. However, even though one month is known for this number of days, any month would be correct. This riddle helps kids pay attention to details and expand their thinking.

Riddle

Riddle: Brush up

I have many teeth, but I cannot bite. What am I?

Answer: A comb

Kids might not know the terms for individual pieces of everyday objects. Riddles can help them learn those terms, as well as life skills that help them think differently. Now that you’ve gone through all of these riddles for kids, try these short riddles that are easy to remember so you can pull one out on the fly.

Originally Published: March 14, 2024

Molly Pennington, PhD

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35 Math Brain Teasers To Puzzle Even Your Smartest Students

When does 9 + 5 = 2?

Multiply this number with any other number and you will get the same answer every time. What is the number?

There’s no better way to encourage outside-the-box thinking than math brain teasers for kids! They’re usually much more about using logic than being a math whiz, so everyone will need to think creatively. Here are some of our favorite math brain teasers for kids, which are perfect for bell ringers, extra credit, or to fill the last few minutes at the end of class.

1. Using only addition, add eight 8s to get the number 1,000.

Answer: 888 + 88 + 8 + 8 + 8 = 1,000

2. Two years ago, I was three times as old as my brother was. In three years, I will be twice as old as my brother. How old is each of us now?

Answer: The older brother is 17, and the younger brother is 7.

3. If a hen and a half lays an egg and a half in a day and a half, how many eggs will half a dozen hens lay in half a dozen days?

Answer: 2 dozen, or 24 eggs

4. When does 9 + 5 = 2?

Answer: When you’re telling time. 9:00 + 5 hours = 2:00.

5. A farmer had 17 sheep. All but 9 of them ran away. How many sheep does she have left?

6. a boy is 2 years old. his brother is half as old as him. when the first boy is 100, how old will his brother be, 7. use the numbers 2, 3, 4, and 5 and the symbols + and = to make a true math equation..

Answer: 2 + 5 = 3 + 4

8. If 3 cats can catch 3 bunnies in 3 minutes, how long will it take 100 cats to catch 100 bunnies?

Answer: 3 minutes

9. Mr. Lee has 4 daughters. Each of his daughters has 1 brother. How many children does Mr. Lee have?

Answer: 5 (All of the daughters have the same brother.)

10. What single digit appears most frequently between and including the numbers 1 and 1,000?

11. which weighs more: 16 ounces of feathers or a pound of solid gold.

Answer: They weigh the same. 16 ounces = 1 pound, no matter what material is being weighed.

12. Jake bought a pair of shoes and a shirt, which cost a total of $150. The shoes cost $100 more than the shirt. How much was each item?

Answer: The shoes cost $125, the shirt $25.

13. You have two coins that total 30 cents. One of them is not a nickel. What are the two coins?

Answer: A quarter and a nickel. (Only ONE of the coins is not a nickel!)

14. A + B + C = D, and A x B x C = D. What numbers make these two equations true?

Answer: A = 1, B = 2, C = 3, and D = 6

15. Solve this in your head (no writing it down!). Take 1,000 and add 40 to it.  Add another 1,000. Now add 30. Add another 1,000. Now add 20. Add another 1,000. Now add 10. What is the total?

Answer: 4,100

16. Grandmother died and left half her money to her granddaughter and half of that amount to her grandson. She left a sixth to her brother, and the remainder, $1,000, to the animal shelter. How much did she leave altogether?

Answer: $12,000

17. Your sock drawer contains 18 white socks and 18 blue socks. Without looking, what is the smallest number of socks you should take out to guarantee a matching pair?

18. you planted sunflower seeds in your garden. every day, the number of flowers doubles. if it takes 52 days for the flowers to fill the garden, how many days would it take for them to fill half the garden, 19. there are 100 houses in the neighborhood where alex and dev live. alex’s house number is the reverse of dev’s house number. the difference between their house numbers ends with 2. what are their house numbers.

Answer: 19 and 91

20. What can you place between 8 and 9 to make the outcome greater than 8 but less than 9?

Answer: A decimal (8.9 is greater than 8 but less than 9.)

21. Multiply this number with any other number and you will get the same answer every time. What is the number?

Answer: Zero

22. If there are 6 oranges in a basket, and you take out 4, how many oranges do you have?

Answer: 4 (You took 4 oranges, so you have 4 oranges!)

23. There are 8 apples in a basket. Eight people each take 1 apple, but there is still 1 apple in the basket. How can this be?

Answer: The 8th person took the basket with 1 apple still in it.

24. Multiply all the numbers on the number pad of a phone. What is the total?

Answer: Zero (Phone number pads include the numbers 0-9.)

25. There are 7 kids in the Garcia family, each born 2 years apart. If the eldest Garcia child is 19, how old is the youngest Garcia child?

26. two mothers and 2 daughters each had 1 egg for breakfast, but they only ate 3 eggs all together. how can this be.

Answer: There were only 3 people—a grandmother, her daughter, and her granddaughter.

27. A 300-foot train traveling 300 feet per minute must travel through a 300-foot-long tunnel. How long will it take the train to travel through the tunnel?

Answer: 2 minutes. (It takes the front of the train 1 minute, and the rest of the train will take 1 more minute to clear the tunnel.)

28. I am a three-digit number. My second digit is four times greater than the third digit. My first digit is three less than my second digit. What number am I?

Answer: 141

29. Tom was asked to paint numbers outside 100 apartments, which means he will have to paint numbers 1 through 100. How many times will he have to paint the number 8?

Answer: 20 times (8, 18, 28, 38, 48, 58, 68, 78, 80, 81, 82, 83, 84, 85, 86, 87, 88 [two 8s], 89, 98)

30. Ellie works at the aquarium. When she tries to put each turtle in its own tank, she has one turtle too many. But if she puts two turtles per tank, she has one tank too many. How many turtles and how many tanks does Ellie have?

Answer: Ellie has 3 tanks and 4 turtles.

31. If eggs cost 12 cents a dozen, how many eggs can you get for $1?

Answer: 100 eggs (The eggs cost 1 penny each.)

32. If you toss a coin 100 times and it lands heads up every time, what is the chance it will land heads up on your next throw?

Answer: 50/50 (The previous tosses don’t make any difference; you always have an equal chance of heads or tails.)

33. You’re visiting a clothing store that has a strange way of pricing items. A vest costs $20, socks cost $25, a tie costs $15, and a blouse costs $30. You want to buy some underwear. How much will it cost?

Answer: $45. Items cost $5 for each letter used to spell the word.

34. How can you make this equation correct: 81 x 9 = 801?

Answer: Turn it upside down: 108 = 6 x 18.

35. You’re planning to spend your birthday money taking some friends to the movies. Is it cheaper to take 1 friend to the movies twice, or 2 friends to the movies at the same time?

Answer: Take 2 friends at the same time, so you’ll only buy 3 tickets total. If you take 1 friend twice, you’ll need to buy yourself a ticket each time, for a total of 4 tickets.

Did we miss one of your favorite math brain teasers for kids? Come share your conundrums on the WeAreTeachers HELPLINE group on Facebook .

If you love these math brain teasers for kids, don’t miss 15 math puzzles and number tricks to wow your students ., you might also like.

Examples of math tricks such as a math triangle and number pyramid.

15 Magical Math Puzzles and Number Tricks To Wow Your Students

Think of a number, any number... Continue Reading

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