## Math Word Problems

In this page math word problems you can find many questions in fractions. In these questions, you need to apply one or more operation depending on the question.Students must practice this kind of problem to get knowledge.We have given math problems on different math topics.

Percent word  problems (1) 12% of the books in a public library are English books. If there are 92000 books in the library,find the number of  English books. (A) 11520 (B) 11040 (C) 28530 (2) A boy secured 88% of the total marks in a public examination. The total marks were 1200. How many marks did the boy secure? (A) 1056 (B) 1040 (C) 2053 (3) A packet contained 450 chocolates.60% of the chocolates were distributed to the students of the fifth standard.How many chocolates were distributed?How many chocolates remained in the packet? (A) 170 & 130 (B) 120 & 150 (C) 270 & 180 (4) A man had \$360000 worth of property. He left 60% of his property to his son.how much did his son get? (A) \$ 216000 (B) \$ 1516000 (C) \$ 260000 (5) A company gives a bonus of 12 ½ % of the total yearly salary to each of its employees during a year.If an employee gets a monthly salary of \$2000,how much does he get?   (A) \$ 6000 (B) \$ 3000 (C) \$ 2000 (6) A person bought a property for \$120000.If he has to pay \$ 2400 to a broker for arranging the purchase,what percent is it of the total purchase value?  (A) 2 % (B) 5 % (C) 7 % (7) A fruit seller bought 1200 mangoes.7% of the mangoes were rotten.How many mangoes become rot? (A) 56 mangoes (B) 84 mangoes (C) 45 mangoes (8) In a school,there were 1200 students.15% of the students went on an excursion.Find the number of students who joined the excursion. (A)180 students (B) 150 students (C) 450 students (9) The population of a town was 320000. The population increased by 4%. What was the increase population. (A)18000 (B) 12800 (C) 14500 (10) A gentleman gets a salary of \$2800 per month. He saves 20% of his salary. Find his savings. (A)\$ 260 (B) \$ 150 (C) \$ 560
 Solution for question 1 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Number of books in the library = 92000 percentage of English books = 12% Number of English books = 12% of Total number of books                              = 12% of 92000                               = (12/100) x 92000                              = (12 x 92000)/100 Two zeroes in numerator and denominator will get canceled So we will get,                               = (12 x 920)                              = 11040 Total number of English books in the library = 11040 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Step 1: In a library there are 92000 books.In which 12% of books are English books. Step 2:And now we need to find the number of books in English. Step 3:To solve this problem we have to find 12% of total number of books. Step 4: Here total number of books is 92000.So we have to multiply 12% of 92000. Solution for question 2 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Total marks = 1200 Percentage of marks scored by the boy = 88% Total marks scored by the boy = 88% of total marks                               = 88% of 1200                              = (88/100) x 1200                              = (88 x 1200) /100 Two zeroes in numerator and denominator will get canceled so that we will get                               =(88 x 12)                              = 1056 Total marks scored by the boy = 1056 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Step 1: In this problem a boy has got 88% of total marks in the public examination. Step 2:If the total marks is 1200.Then we have to find the number of marks scored by the boy. Step 3:To solve this problem we have to find 88 percent in the total marks Step 4: Here the total marks is 1200.So we have to find 88% in 1200. Solution for question 3 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Total number of chocolates = 450 Percentage of chocolates distributed = 60% Number of chocolates distributed = 60% of Total number of chocolates                               = 60% of 450                               = (60/100) x 450                               = (60 x450) /100 In numerator and denominator 2 zero will get canceled. So that we will get                               = (6x45)                               = 270 Number of chocolates distributed = 270 Number of remaining = Total number of - Number of chocolates distributed                               = 450 - 270                              = 180 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Step 1: A packet is containing 450 chocolates.60% of them were distributed to the students who are studying 5th. Step 2:Now we need to find no of chocolates distributed and also we have to find the remaining number of chocolates after distribution. Step 3:To solve this problem first we have to find the number of chocolates distributed.For that we have to find 60% of 450 chocolates. Step 4: After that we have to subtract the distributed chocolates from the total number of chocolates. Solution for question 4 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Total worth of property = 360000 Worth of property got by the boy = 60% of total worth                               = 60% x 360000                               = (60/100) x 360000                               = (60 x 360000)/100 Two zeroes in numerator and denominator will get canceled So we will get                              = 60 x 3600                              = 216000 Worth of property = \$ 216000 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Step 1: In this problem a man is having \$360000 worth of property. Step 2:He had left 60% of his property to his son. Step 3:Now we need to find how much did his son get on his father's property. Step 4: To solve this problem we have to find 60% of total worth.Here total worth of the property is \$360000. Solution for question 5 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Salary of the employee = \$2000 The employee's total salary for the year = 12 x 2000                               = 24000 Worth of bonus = 12 ½ % x Yearly salary                               = 12 ½% x 24000 First let us change this mixed fraction into improper fraction.                               = (24+1)/2 % x 24000                              = (25/2) /100 x 24000                              = (25/200) x 24000                              = (25 x 24000)/200                              = (25 x 240)/2                               = (25 x 120)                               = \$3000 Bonus amount got by the employee = \$ 3000. jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Step 1: In this problem a company is giving bonus 12 ½ % of the total yearly salary to each of its employees in the year. Step 2:If an employee gets a monthly salary of \$2000,what will be the amount he get. Step 3:To solve this problem we have to find 12 ½ % of total yearly salary.For that first we have to find the total salary. Step 4: .Here monthly salary is 2000. We have 12 months. So we have to multiply 12 with 2000 Solution for question 6 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Total worth of property = \$120000 Amount given to broker = \$2400 percentage of brokerage of total purchase value = (Brokerage amount/Total worth of the property) x 100                              = (2400/120000) x 100                              = (2400x100)/120000                              = 24/12                              = 2% jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Step 1: In this problem a person is buying a property for \$120000. Step 2:He has to pay \$ 2400 to a broker for arranging the purchase,now we need to find the percent of brokerage amount of the total purchase value. Step 3:To solve this problem we have to divide 2400 by 120000. Step 4: And we have to multiply this value with 100. Solution for question 7 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} No of mangoes bought by fruit seller = 1200 Percentage of mangoes rotten = 7% No of mangoes which were rotten = 7% of total mangoes                               = (7/100) x 1200                               = (7 x 1200)/100                               = (7 x 12)                               = 84 mangoes No of mangoes which were rotten = 84 mangoes jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Step 1: In this problem a seller has bought 1200 mangoes.7% of the mangoes were rotten. Step 2:We have to find the number of mangoes become root. Step 3:To solve this problem we have to find 7% of total number of mangoes. Step 4: Here total number of mangoes is 1200. Solution for question 8 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Total no of students in a school = \$1200 Percentage of students who went for excursion =15% No of students who went for excursion = 15% of total number of students                               = 15% of 1200                               = (15/100) x 1200                               = (15 x 1200)/100                               = 15 x 12                               = 180                               = 180 students So number of students went for excursion = 180 students. jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Step 1: In a school there are 1200 students.15% of the students went on an excursion. Step 2:Now we have to find the number of students who had joined the excursion. Step 3:To solve this problem we have find 15% of total number of students.That is 12% of 1200. Solution for question 9 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Total population = \$ 320000 Percentage of people increased = 4% Increased population = 4% of Total population                              = 4% of 320000                              = (4/100) x 320000                               = (4 x 320000)/100                              = 1280000/100                              = 12800 Increased population = 12800 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Step 1: In this problem population of a town was 320000. Step 2:he population increased by 4%. What was the increase population. Step 3:Now we have to find 4% of total population. Solution for question 10 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Total salary = \$2800 Percentage of his savings = 20% His savings amount = 20% of Total salary                              = 20% of 2800                              = (20/100) x 2800                              = (20 x 2800)/100                              = 56000/100                               = \$560 Amount saved by the person = \$560 jQuery UI Accordion - Default functionality .ui-widget-overlay,.ui-state-disabled,ui-button{background:#fff;border:1px solid #fff;color:#b9cd6d;font-weight:bold} Step 1: In this problem a gentleman gets a salary of 2800 per month. Step 2:He saves 20% of his salary. Step 3:Now we have to find his savings.To solve this problem we have find the 20% of 2800.

 Word Problems on Fractions Questions Math word problems A fruit merchant bought mangoes in bulk. He sold ⅝ of the mangoes. 1/16 of the mangoes were spoiled. 300 mangoes remained with him. How many mangoes did he buy?Solution A family requires 2 ½ liters of milk per day.How much milk would family require in a month of 31 days?Solution A ream of paper weighs 12 ½ kg What is the weight per quire, if 20 quire make one ream?Solution It was Richard's birthday.He distributed 6 kg of sweets among her friends.If he gave ⅛  kg of sweet to each.How many friends are there?Solution 6 students went on a picnic.One student agreed to bear half of the expenses. The remaining 5 students shared the remaining expenses equally. What fraction of the expenses does each of 5 students pay?Solution I have 2 ½ times money that David has. If i have \$100,how much money does David have?Solution In a basket there are two kinds of sweet packets. There are 7 packets of the first kind each weighing 1 ¼ kg and 9 packets of the second kind each weighing ¾ kg . What is the total weight of the sweets in the basket?Solution How many half-liter bottles can be filled from a can containing 37 ½ liter of milk?Solution A gentleman bought 200 liter of milk for a function. ⅘ of it was used for preparing candies. ¾ of the remaining milk was used for preparing coffee. How much of the milk remained.Solution Two third of a tank can be filled in 18 minutes. How many minutes will it require to fill the whole tank?Solution A clerk works 4 ½ hours in the morning and 2 ⅘ hours in the afternoon. Find how many hours does she work each day?Solution Mary had  4 ⅘ m of lace. She used 3 ⅔ m of a lace for a hand kerchief. How much lace did she have left?Solution An artist took  1 ½ hours to paint one picture. He took 1 ⅙ hours to paint another picture. How much time did he take to paint both pictures? Solution John had 5 ½ tins of paint. After painting a hall, he had 2 ¾ tins  of paint left. How many tins of paint did he use?Solution A brick of weights  2 ½ kg .A stone is 1 ⅕ kg lighter than the brick. Find the weight of the stone required.Solution Mary used 1 ¾ bars of chocolate to make a cake. She used 1 ⅜ bars of chocolate to make a pudding.How many bars of chocolate did she use altogether?Solution A pen is 13 ⅝ cm long. A pencil is  9 ½ cm long. Find the difference in length.Solution Jennifer made 4 cakes for a class party. The pupils  ate  2 ½  cakes. How much cakes was left over?Solution math word problems math word problems math word problems Peter spends 3 ½ hours for doing his home work,3 hours for reading novels and 1 ¾ hours for playing games. How much time does he spend in all?Solution math word problems math word problems math word problems Peter bought 1 ⅛ m of iron wire and 2 ⅔ m of copper wire. How much wire did he buy altogether?Solution

 Decimal Word problems Questions A chemist mixed 6.35 grams of one compound with 2.45 grams of another compound. How many grams were there in the mixture. Solution What is the total cost of these items.Pen \$10.50,books \$25.75,bag \$ 45.50 Solution John wants to buy a bicycle that cost \$ 450.75. He has saved \$ 125.35.How much more money must John save in order to have enough money to buy the bicycle?Solution Jennifer bought 6.5 kg of sugar. she used 3.75 kg. How many kilograms of sugar were left?Solution The inner diameter of a pipe is 25.25 mm. The outer diameter is 36.05 mm.What is the difference in the diameter?Solution A map is 1.3 m long and 0.8 m wide. Find its area.Solution A copy of English book weighs 0.45 kg. What is the weight of 20 copies? Solution Find the weight of 25.5 meters of copper wire. If one meter weighs 10.5 grams.Solution Mars takes 1.88 years to travel around the Sun. How long will mars take to go around the sun 100 times.  Solution A square lawn is 12.25 m long.Find the perimeter.Solution A ream of paper weighs 2.05 kg. What is the weight of 35 reams?Solution Robert paid \$140 for 2.8 kg of cooking oil. How much did 1 kg of the cooking oil cost?Solution Joseph earned \$20.70 for working 6 hours. How much was he paid for an hour?   Solution John hiked 9.6 miles in 3 hours.How many miles an hour did he hike?  Solution Divide \$ 58.53 equally among 4 people. How much does each person getting?Solution A wire measures 0.12 meters. If you cut it into 3 pieces of equal length, how much long will each piece be?Solution A pipe is 76.8 meters long. What will the greatest number of pieces of pipe each 8 meters long that can be cut from this pipe?Solution

 Word problems on age Questions Martin is four times as old as his brother Luther at present. After 10 years he will be twice the age of his brother. Find their present ages.Solution A father is 30 years older than his son,and one year ago he was four times as old as his son. Find the present ages of  his father and his son.Solution The ages of Abraham and Adam are in the ratio 5:7. If Abraham was 9 years older and Adam 9 years younger, the age of Abraham would have been twice of Adam. Find the present ages of them. Solution Airi's mother is four times a old as Airi. After five years her mother will be  three times as old as she will be then .What is their present ages.Solution The sum of the present ages of kiran and Kate is 60 years. If the ratio of their present ages be 7:8, find their present age.Solution Andrea is three times as old as her sister Anu. Three years ago, she was two years less than four times the age of her sister. Find their present ages.Solution

 Word problems using digit Questions The sum of digits of a two digit numbers is 15 and if 9 is added to the number the digits are interchanged. Find the required number.Solution The sum of the digits of a two digit number is 10. If the number formed by reversing the digits is less than the original number by 36,find the required number. Solution The unit's digit of a two digit number is twice its ten's digit. If 18 is added to the number, the digits interchange their places. Find the number.Solution The sum of the digits of two digit number is 12. If the  new number formed by reversing the digits is greater than the original number by 54, find the original number.Solution The number consists of two digits whose sum is 9. If 45 is added to the number, the digits are reversed. Find the number.Solution

 Multiplication Word problems Questions If a tailor uses ¾ m of cloth to make a skirt,how much cloth does he need for 7 skirts?Solution John made 5 cups of tea. She used ¾ teaspoonful of sugar for each cup of tea. How many teaspoonful of sugar did she use in all?Solution Mary bought 4⁄3 kg  of beef. She cooked  ¾ kg of it for lunch. How much beef did she cook?Solution Jennifer had 18 picture cards. She gave  ⅓ of them to Mary. How many picture cards does she have now?Solution Mr.John weights 80 kg. His son is ⅗ as heavy. Find their total weight.Solution A man gets \$450 per month. He gives ⅛  of the amount to his wife and ⅙  to his children. How much will each get? Solution

 Division Word problems Questions Mary poured ⅝ liter of apple juice equally in to 5 glasses. How much of apple juice was there in each glass? Solution John cuts lead strips to make stained-glass windows. He has a 3 ¾ foot strip of lead and cuts into 5 equal pieces. How long is each piece of lead? Solution Mrs.Mathew divided ¾ kg of grapes equally among 6 children. How many kilograms of grapes did each child get? Solution The perimeter of square piece of paper is  ¾ m. What is the length of its side? Solution The product of two fractions is 30 ⅓. One of them is 5 ⅔.  Find the other? Solution How many pieces of wood each ⅕ m long can be cut from a piece 3m long ?  Solution

 Mixed Word problems Questions A can contains 10 kg of oil.2 ¾ kg and 5 ⅓  kg are poured into two vessels. How much is left in the can?Solution A steel rod is 12 ⅞ meters long.From this two pieces,one 3 ¼ meters long and another 4 ⅔ meters long are cut off. What is the length of the remaining part of the rod?Solution A man's monthly salary is \$ 800. From this he spends 305 ¾ for food and \$ 100 ½ for children's education. How much will remaining with him?Solution Peter had \$ 75 ¾ in his purse. He spent \$ 40 ½ for his text books and \$20 ¾ for his note books.How much will remain with him?Solution The total weight of 4 girls is 155 ⅕ . If three of them weighs 20 ⅕  kg,44 ½ kg, and 30 ⅓ kg.Find the weight o the remaining girl.Solution In three packets there were \$ 13 ⅔ ,\$ 25 ⅓  and \$ 30 ⅙. The total amount in all the four packets is  \$ 95. What is the amount in the fourth packet? Solution Maria worked 5 ½ hours on Tuesday and 6 ¼ hours on Wednesday. John worked 2 ½ on Tuesday and 5 ¼ hours on Wednesday.How many fewer hours did John work?Solution

You can workout these math word problems on your own and if you have any doubts in any steps please refer the solution.You can find many worksheets in this site. Please use that also. These are the math word problems in this page.