Word problems are a perfect way to translate theoretical mathematical questions into real-life problems. Solving word problems makes the subject of mathematics very much relatable for students of different groups. Some find these problems very tricky.
However, if our base is clear and if we are thorough with the concepts, they are nothing less than an apple pie.
Whether you are a teacher of the 1st grade or the 8th grade, preparing word problems relatable to real-life can be challenging at times. Thus, we have prepared a list of 130 math word problems to challenge students from grades 1 to 8. The word problems are categorized in a sequence, which will help you pick up questions per the related concept.
Addition Word Problems (+)
These math problems best suit students in grades 1 and 2. Here we go!
1. Annie shared two cookies with her friend Josh, and three with her friend Tosh. She has four cookies remaining herself. How many total toffees did Annie have before sharing?
2. Tom had 15 pieces of chewing gum to share with his cousins. There wasn’t enough chewing gum for all his cousins, so he went to the shop to get 5 more pieces of chewing gum. How many pieces of gum does Tom have now?
3. Steve wanted to give 2 chocolates to each of his friends. Steve had 25 pieces of chocolates to share with his friends and he had 35 friends in total. Thus, we went to a nearby shop to get 45 pieces of chocolates. How many pieces of chocolates does Steve have now?
4. A shopkeeper has 130 pieces of toothpaste for adults and 30 pieces of toothpaste for babies. How many pieces of toothpaste does the shopkeeper have in total?
5. How many cakes did you sell in total if you sold 500 vanilla cakes and 350 black forest cakes?
6. The library, has 300 fiction books and 675 non-fiction books. How many books are there in the library in total?
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7. Jamie had 2 copies at his house. He went to a bookstore and bought 3 copies. How many copies does Jamie have in total?
8. Jon has 30 candies, while Sansa and Arya have 25 and 40 candies respectively. How many candies do they have in total?
9. Phil has a collection of 300 crayons, while Adolf and Rudolf have a collection of 200 and 500 crayons respectively. How many crayons do they have in total?
10. Josh and Bosh have 3 and 4 chocolate candies respectively. On the other hand, Cook and Ian have 2 and 5 strawberry candies respectively. How many candies do they have in total?
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Subtraction Word Problems (-)
These math problems are best suited for students of grade 1 and grade 2 to learn the concept of subtraction with real-life scenarios.
11. There were 5 cold drinks in total at the shop. A person bought 2 cold drinks. How many cold drinks are left?
12. Your cousin said he had 12 toy cars. When he cleaned his desk, he found only 7 toy cars. How many toy cars were missing?
13. Alfred had 95 pieces of puzzles with him. These total pieces make a complete puzzle picture. However, he lost 5 of them while he went to the park. How many pieces of puzzles does Alfred have with himself?
14. Team India scored a total of 250 points. 130 points were scored in the first half. How many points were scored by Team India in the second half?
15. A shopkeeper normally sells a total of 25,000 trump cards per month. In March, the shopkeeper sold a total of 30,300 trump cards. How many more trump cards did the shopkeeper sell in March as compared to the normal month?
16. Jesse had 50 blueberries. He gave 10 to his friend Walter and 6 to his friend Saul. How many blueberries does Jesse have left?
17. Jay has a huge cow farm with 465 cows in total. He decided to sell some of his cows. He sold 200 cows to Harvey and 50 to Jake. How many cows does he have now?
18. Jos bought a big bag of marbles to share with his cousins. In total, there were 245 marbles. He gave 45 marbles to Sanju and 50 marbles to Ravi. How many marbles were left with Jos?
19. Jordan had a collection of 1000 cards. He gave 153 to his cousin Shay. He also gave 134 cards to Alex. How many cards does Jordan have with himself?
20. Steve scored a total of 50,567 points while playing an online game, while Adam scored a total of 49,567 points playing the same game. How many points more did Steve score than Adam?
Multiplication Word Problems (x)
These math problems are best suited for students in grades 2 and grade 3.
21. Jos needs to cut a pan of cake into several pieces. He cuts 5 even rows and 6 even columns into the pan. How many pieces of cake does he have with himself?
22. A cinema hall has 30 rows of spacious seats with 15 seats in each row. How many seats are there in the cinema hall?
23. A toy company has 10 different kinds of toys. Each year, the toy company makes 35,000 of each kind of toy. How many total toys does the company make each year?
24. Tracy earns $10 in two hours by delivering groceries. She delivers groceries 4 days each week and for 4 hours at a time. If she delivers groceries for 10 weeks, how much money will Tracy earn by delivering groceries?
25. A train has 12 compartments with 20 seats in each compartment. How many total seats are there on the train?
Division Word Problems (÷)
These math problems are best suited for students in grades 3 and grade 4 and grade 5.
26. Tracy has 6 pieces of candy that are split evenly into 3 bags. How many pieces of candy are there in each of the bags that Tracy has with herself?
27. John has 40 tickets for the mega fair and each ride in the fair costs 4 tickets. How many rides can John go on?
28. A NGO needs funding of $10,000 from the students of a school. If the school has 5,000 students, how much money does each student need to contribute?
29. The school has $1000 to buy baseball bats for the students. If each baseball bat costs $50, how many baseball bats can the school buy in total?
30. Jay buys 3 packs of baseball for $60 in total. There are 4 baseballs in each pack. How much does 1 pack of baseball cost? How much does 1 baseball cost?
31. If 15 friends share 4 slices of pizza, how many slices of pizza will be left if they share equal slices of pizza among themselves.
Mixed Operations Word Problems
These math problems are best suited for students in grades 3 and grade 4 and grade 5.
32. There were 345 copies in a stationery shop. On Tuesday, 234 copies were sold to a customer. On Wednesday, the customer returned 34 copies. How many copies are there in the stationery shop now?
33. Tommy has 3 bags with 6 toffees in each bag. Shelby has 4 bags with 2 toffees in each bag. How many more toffees does Tommy have?
34. Arthur, Tommy, Lissie, and Abarama are ordering pizza. If each person gets 3 slices of pizza and each pizza has 6 slices, how many pizzas should the group order?
35. Jos scored 250 runs in the first innings and 100 runs in the second innings. Virat scored 245 runs in the first innings and 125 runs in the second innings. How much more runs has Virat scored?
Fractions Word Problems
These math problems are best suited for students of grade 3, grade 4, grade 5, and grade 6.
36. Andy visited 10 lakes in the city. There were 15 total lakes in the city. What fraction of lakes did he visit?
37. Howard is painting a portrait of his cousin, Lary. To make the portrait conveniently, he divides the portrait into 8 equal parts. What fraction represents half part of the portrait?
38. Adam walks ⅕ of a mile to college each day. He also walks ⅕ of a mile to get to his house after college. How many miles does Adam walk in total?
39. Harry had ½ chocolate cake with himself. At the end of the day, he was left with only ⅛ of the chocolate cake. How much cake did he have?
40. Harry’s mother served him 4 ¾ scoops of ice cream for breakfast, 5 ⅘ scoops of ice cream for lunch, and 3 ⅔ scoops of ice cream for dinner. How many scoops of ice cream did Harry have in total?
41. Sophie read 45 pages of a fiction book containing 250 pages. Turner read ⅗ of the same book. Who read more?
42. Gary ran for 4/6 of an hour while Christain ran for 6/4 of an hour. Who ran for a longer time?
43. In a class of 50 students, 35 passed with grade A. In another class of 75 students, 40 passed with grade A. In which class, there was a greater fraction of students getting grade A.
44. A baker divided a piece of cake into 6 parts. He gave ⅙ of the part to Jos and 3/6 part to Butler. How many parts did Jos and Butler have together?
45. Harvey was given 6/7 of a basket of apples. What fraction of oranges were left in the basket?
Decimal Word Problems
These simple math problems are best suited for students of grade 3, grade 4, grade 5, and grade 6.
46. Steve bought 4 kg 450 g oranges and 2 kg 345 g apples. Smith bought 3 kg 765 g apples and 3 kg 450 g oranges. Who among the two bought more fruits?
47. How much more is 456 km than 356.675 km?
48. You have 50.7 grams of sugar in a bowl. You transfer 40.6 grams to another bowl. How much sugar do you have with yourself?
49. Otis walks a total of 0.8 miles to and from his school. If he goes to school 5 days a week, how many miles does he walk in a month?
50. If a truck covers a distance of 78.9 km in 2.3 hours, what is the average distance covered by the truck in 1.5 hours?
51. Finan has 2.3 liters of apple juice and 3.4 liters of orange juice. Uhtred, his friend has 3.3 liters of apple juice and 2.9 liters of orange juice. How much more juice does Uhtred have than Finan?
52. For 3 days a week, Ali practices guitar for 2.6 hours. What is his average practice time per day each week?
53. Shoe Dog, an autobiography of Phil Knight costs Rupees 450 and 75 paise. What is the cost of 50 such books?
54. If 10.5 kg of wheat costs Rs 500, what is the cost of 1 kg of wheat?
55. Shanky cuts 75 meters of woolen cloth into equal pieces of 1.35 meters. How many total pieces of woolen cloth with Shanky get?
Time Word Problems
These easy math problems are best suited for students in grades 1 and grade 2.
56. Arthur helped his friend in arranging sticks for 360 minutes. For how many hours was he helping his friend?
57. Ruby cycles to school and takes 35 minutes to reach there. She takes the same time to reach home from school. If she goes to school for 5 days a week, how many hours does she cycle in a month?
58. A bus departed at 1:00 p.m. from a hill station and arrived in a city at 11:00 p.m. How long were the passengers on the bus?
59. Ali walks from the school at 2:45 p.m. and takes 35 minutes to reach his home. At what time will he reach his home?
60. Tom took a train at 21:00. After 8 hours, he was at his home. At what time did he arrive at his home?
Money Word Problems
These simple math problems are best suited for students of grade 2, grade 3, grade 4, and grade 5.
61. At a fruit shop, the shopkeeper sells oranges at $3 per kg. Find the price of 20.5 kg of oranges.
62. At a stationery store, the shopkeeper sells 15 gel pens for $10. What is the price of a 1 gel pen?
63. Ruby bought jeans worth $25 and a pair of shoes worth $15. How much money did Ruby spend altogether?
64. Akash bought 3 kg of wheat worth $2 per kg and 5 kg of rice worth $1.5 per kg. How much money did she spend?
65. Rob spent $200.56 to buy 6 footballs. If each football was of the same price, how much did each football cost?
66. Tom saved his monthly pocket money for 2 months to get a video game. In the first month he saved $45, while in the next month, he saved $35. The video game cost him $65. How much money is left with him?
67. Jamie bought a chocolate cake worth $10.55 and a vanilla cake worth $8.75. How much money did Jamie spend altogether?
68. Steve had $15.67 with himself. He bought 5 pieces of cake worth $1.56 each. How much money has he left?
69. Smith has $56. He shared $34.56 with his cousin and $10 with his best friend. How much money is remaining with him?
70. 10 slices of pizza together cost $7.75. How much do 2 slices of pizza cost?
Ratio and Proportions Word Problems
These easy math problems best suit students of grade 5, grade 6, grade 7, and grade 8.
71. The weekly earnings of Adam and Eve are in the ratio of 4: 5 and their weekly expenses are in the ratio of 7: 9. If both of them save $50 per week, find their weekly earnings.
72. Gary earns $50 in 8 hours and Harry earns $40 in 6 hours. What is the ratio of their earnings?
73. $324 needs to be distributed between Joe and Jane in the ratio of 11: 7. How much money would Joe and Jane get?
74. A father wants to distribute $36 between his two sons, Steve and Harvey in the ratio of their ages. If the age of Harvey is 12 years and Steve is 15 years, how much money will both of them get?
75. There are 50 coaches in a school of 5,000 students. What is the ratio of the number of coaches to the number of students?
76. Roman purchased 3 bats for $15 and John purchased 4 bats for $20. Whose bat is more expensive?
77. The ratio of Adam’s score to Eve’s score is 7: 4. If Adam has scored 28 marks on the test, how many marks has Eve scored?
78. The ratio of Adam’s score to Eve’s score is 7: 4. If the difference between the marks scored between them is 12, what are the marks scored by them?
79. The speed of two bullet trains is in the ratio of 7: 8. If the second bullet train runs 400 miles in 5 hours, what is the speed of the first bullet train?
80. The ratio of the average temperature between Delhi and Mumbai is 11: 12 and the ratio of the average temperature between Delhi and Kolkata is 9: 8. What is the ratio between the average temperature of Mumbai and Kolkata?
Percentage Word Problems
These simple math problems best suit students of grade 6, grade 7, and grade 8.
81. Harry had to write 50 pages to complete his school project. By the end of the day, he had completed 30% of his task. How many pages were still left to complete the project?
82. A box contains 120 apples, out of which 16.66% are rotten. Find the total number of rotten apples in the box.
83. Shanaya scored 57 marks out of 100 on her school test. What percentage of marks did she get?
84. Mr. Fox saves 25% of his salary every month. If he receives $500 per month as salary, find the number of monthly expenses he incurs.
85. 100 apples are to be divided between 4 friends in 20%, 15%, 45%, and 20%. How many apples will each of the friends get?
86. Royal Public School has 2500 students. 45% of the students in the school are boys. How many girls are there in the school?
87. Gina scored 385 marks out of 400 in her final examination while Tina scored 586 marks out of 600 in her final examination. Whose performance was better?
89. In a garden, 16.66% of the flowers are daisies. If the total number of flowers in the garden is 240, find the number of other flowers in the garden.
90. Mr. Smith saves 28% of his earnings. If he saves $345 per week, find his weekly earnings.
Probability Word Problems
These easy math problems best suit students of grade 6, grade 7, and grade 8.
91. Carry wants to know about his friends’ favorite superheroes, so he surveys some of his friends and leaves other friends. Will the sample collected by him be biased or representative?
92. There are numbers 1 to 50 in a bag. If the probability of not drawing an even number is 1/2, what is the probability of drawing an even number?
93. A burger shop has recently sold 25 burgers. 10 of those burgers were extra cheesy. What is the experimental probability that the next burger will also be extra cheesy?
94. The probability of getting a rotten apple in a bag of 400 apples is 0.035. How many rotten apples are there in the bag?
95. Steve is asked to choose a number between 1 to 300. What is the probability that the number he chooses is a prime number?
Mensuration Word Problems
These math word problems best suit students of grade 6, grade 7, and grade 8.
96. The circumferences of two circles are in the ratio 45: 70. What is the ratio of their areas?
97. A tricycle wheel makes 600 revolutions in moving a kilometer. What is the diameter of the tricycle wheel?
98. The walls and ceiling of a hall are to be painted. The length, width, and height of the hall are 6 m, 4 m, and 3 m respectively. What is the total cost of painting the hall at the rate of Rs 10 per square meter?
99. What is the capacity of a tank whose dimensions are 4 m, 2.8 m, and 2 m respectively?
100. A sheet of paper that is rectangular is rolled in two different ways to form two different types of cylinders. Find the volume of both the different types of cylinders if the rectangular sheet measures 88 cm * 44 cm.
Time Value of Money Word Problems
These math word problems best suit students of grade 5, grade 6, grade 7, and grade 8.
101. Harvey deposits $500 in a bank for 10 years which earns him a simple interest of 9%. What is the amount he gets after the 8th and the 9th year?
102. Steve invested $450 in the bank and got back an amount of $600 after two years. What is the rate of interest that the bank provided to Steve?
103. After investing a certain sum of money for 5 years, Ali got $1000. If the bank has paid him an interest of $250, find the amount invested by Ali in the bank.
104. Adam deposited $5000 for 8 years at a rate of 8% p.a in a standardized bank. Find the interest received by Adam.
105. Amar deposited a certain sum of money in a bank for 7.5 years at the rate of 6% p.a. simple interest. He received $650 at the end of the term. What was his initial deposit?
106. Sophie has deposited a certain sum of money in a bank that doubles itself in 7 years. In how many years, it would triple itself?
Unitary Method Word Problems
These math word problems best suit students of grade 3, grade 4, and grade 5.
107. Seema went to a shop to purchase notebooks. She purchased 5 notebooks for $15. What is the price of one notebook?
108. A car requires 3 liters of diesel to cover 70 km. How many liters of diesel is required to cover 2 km?
109. If 6 cans of orange juice cost $8, what is the cost of 2 cans of orange juice?
110. The weight of 100 copies is 15 kg. What is the weight of 35 such books?
111. Ram pays $500 as tuition fees for 3 months. How much money will he have to pay for the whole year?
112. The cost of 6 dozen bananas is $10. How many bananas can be purchased for $2?
113. Mathew bought 5 copies for $7 and Matt bought 15 copies for $10. Who got the copies cheaper?
114. Virat made 66 runs in 5 overs, while Chris made 105 runs in 9 overs. Who made more runs per over? [ An over consists of 6 balls]
115. If 5 m of cotton cloth costs $15, what is the cost of 3 m of cotton cloth?
Equations Word Problems
These math word problems best suit students of grade 7 and grade 8.
116. Three friends Ali, Adam, and Amar together have $51. Adam has $4 less than Ali and Amar has $5 less than Ali. How much money does each friend have?
117. The age of a teacher is 2 times the sum of the ages of his two students. 5 years ago, his age was 3 times the sum of the ages of his two students. What is the present age of the teacher?
118. Finch is 5 years younger than Aaron. Four years later, Aaron will be 2 times as old as Finch. What are their present ages?
119. The cost of two baseball bats and three footballs is $705. If the baseball bat costs $40 more than the football, find the cost of the baseball bat and the football.
120. Ali’s uncle is 49 years old. He is 5 years older than 4 times Ali’s age. What is Ali’s age?
Some Fun Word Problems Related to Logical Reasoning
These math word problems can be attempted by students of any grade. They are interesting and students will have to apply logical reasoning to solve them.
121. In a certain language, DELHI is coded as EFMIJ. How is PRAYAGRAJ coded in that language?
122. Pick the odd one out: January, May, July, and November.
123. Ali starts from point Z, walks 2 miles towards the south, turns towards his left and walks 5 miles, turns left again, and walks. What is the direction in which Ali is facing now?
124. If Jammy stands on his head with his face towards the south, in which direction will his right-hand point?
125. If Steve sees the rising sun behind the railway station and the setting sun behind the mosque from his home, what is the direction of the railway station from the mosque?
126. Adam comes towards the south, turns left, turns right again, and then goes to the left. From there he turns right. In which direction is Adam now?
127. Aman reads a novel and finds the name of the author very familiar. The author ‘Z’ is the paternal uncle of T and T is the daughter of Aman. How is Z related to Aman?
128. Smith walks southwards and then turns left, then turns right, and then turns left. In which direction is he moving now?
129. Five girls V, W, X, Y, and Z are sitting in a row. V is to the right of W and Z is to the left of W but the right of X. V is to the left of Y. Who is third from the right end?
130. Steve’s mother said to Steve, “My mother has a son whose son is Matthew”. How is Matthew related to Steve?
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