ALGEBRA WORD PROBLEMS WORKSHEET

Word Problems in Percentage

Question 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

Solution

Question 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

Solution

Question 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

Solution

Question 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

Solution

Question 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

Solution

Question 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 %

Solution

Question 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

Solution

Question 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

Solution

Question 9 :

The population of a town was 320000. The population increased by 4%. What was the increase population.

(A)18000

(B) 12800

(C) 14500

Solution

Question 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

Word Problems on Fractions

Question 1 :

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

Question 2 :

A family requires 2 ½ liters of milk per day. How much milk would family require in a month of 31 days?

Solution

Question 3 :

A ream of paper weighs 12 ½ kg What is the weight per quire, if 20 quire make one ream?

Solution

Question 4 :

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

Question 5 :

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

Question 6 :

I have 2 ½ times money that David has. If i have $100, how much money does David have?

Solution

Question 7 :

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

Question 8 :

How many half liter bottles can be filled from a can containing 37 ½ liter of milk?

Solution

Question 9 :

A gentleman bought 200 liter of milk for a function. 4/5 of it was used for preparing sweets. 3/4 of the remaining milk was used for preparing coffee. How much of the milk remained ?

Solution

Question 10 :

Two thirds of a tank can be filled in 18 minutes. How many minutes will it require to fill the whole tank?

Solution

Word Problems on Age

Question 1 :

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

Question 2 :

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

Question 3 :

The ages of Abraham and Adam are in the ratio 5 : 7. Four years from now, the ratio of their ages will be 3 : 4. Find the present ages of them. 

Solution

Question 4 :

Airi's mother is four times as old as Airi. After five years her mother will be  three times as old as she will be then. Find their present ages.

Solution

Question 5 :

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

Question 6 :

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 Involving Digits

Question 1 :

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

Question 2 :

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

Question 3 :

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

Question 4 :

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

Question 5 :

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

Word Problems Involving Fractions

Question 1 :

If a tailor uses 3/4 m of cloth to make a skirt, how much cloth does he need for 7 skirts ?

Solution

Question 2 :

John made 5 cups of tea. She used 3/4 teaspoonful of sugar for each cup of tea. How many teaspoonful of sugar did she use in all ?

Solution

Question 3 :

Mary bought 4/3 kg  of beef. She cooked  3/4 kg of it for lunch. How much beef did she cook ?

Solution

Question 4 :

Jennifer had 18 picture cards. She gave 1/3 of them to Mary. How many picture cards does she have now ? 

Solution

Question 5 :

Mr. John weights 80 kg. His son is 3/5 as heavy. Find their total weight.

Solution

Question 6 :

A man gets $450 per month. He gives 1/8 of the amount to his wife and 1/6 to his children. How much will each get ? 

Solution

Question 7 :

Mary poured 5/8 liter of apple juice equally in to 5 glasses. How much of apple juice was there in each glass?

Solution

Question 8 :

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

Question 9 :

Mrs. Mathew divided ¾ kg of grapes equally among 6 children. How many kilograms of grapes did each child get?

Solution

Question 10 :

The perimeter of square piece of paper is  3/4 m. What is the length of its side?

Solution

Question 11 :

The product of two fractions is 30 1/3. One of them is 5 2/3.  Find the other?

Solution

Question 12 :

How many pieces of wood each 1/5 m long can be cut from a piece 3 m long ? 

:Solution

Question 13 :

A can contains 10 kg of oil. 2 3/4 kg and 5 1/3 kg are poured into two vessels. How much is left in the can ?

Solution

Question 14 :

A steel rod is 12 7/8 meters long. From this two pieces, one 3 1/4 meters long and another 4 2/3 meters long are cut off. What is the length of the remaining part of the rod?

Solution

Question 15 :

A man's monthly salary is $800. From this he spends 305 3/4 for food and $100 1/2 for children's education. How much will remaining with him ?

Solution

Question 16 :

Peter had $75  3/4 in his purse. He spent $40  1/2 for his text books and $20  3/4 for his note books. How much will remain with him ? 

Solution

Question 17 :

The total weight of 4 girls is 155  1/4.  If three of them weighs 20  1/5  kg 44  1/2 kg and 30  1/3 kg. Find the weight o the remaining girl.

Solution

Question 18 :

In three packets there were $13 2/3, $25 1/3  and $30 1/6. The total amount in all the four packets is $95. What is the amount in the fourth packet ? 

Solution

Question 19 :

Maria worked 5  1/2 hours on Tuesday and 6 1/4 hours on Wednesday. John worked 2  1/2 on Tuesday and 5  1/4 hours on Wednesday. How many fewer hours did John work ?

Solution

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ALGEBRA

Variables and constants

Writing and evaluating expressions

Solving linear equations using elimination method

Solving linear equations using substitution method

Solving linear equations using cross multiplication method

Solving one step equations

Solving quadratic equations by factoring

Solving quadratic equations by quadratic formula

Solving quadratic equations by completing square

Nature of the roots of a quadratic equations

Sum and product of the roots of a quadratic equations 

Algebraic identities

Solving absolute value equations 

Solving Absolute value inequalities

Graphing absolute value equations  

Combining like terms

Square root of polynomials 

HCF and LCM 

Remainder theorem

Synthetic division

Logarithmic problems

Simplifying radical expression

Comparing surds

Simplifying logarithmic expressions

Negative exponents rules

Scientific notations

Exponents and power

COMPETITIVE EXAMS

Quantitative aptitude

Multiplication tricks

APTITUDE TESTS ONLINE

Aptitude test online

ACT MATH ONLINE TEST

Test - I

Test - II

TRANSFORMATIONS OF FUNCTIONS

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Vertical  expansion and compression

Rotation transformation

Geometry transformation

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Dilation transformation matrix

Transformations using matrices

ORDER OF OPERATIONS

BODMAS Rule

PEMDAS Rule

WORKSHEETS

Converting customary units worksheet

Converting metric units worksheet

Decimal representation worksheets

Double facts worksheets

Missing addend worksheets

Mensuration worksheets

Geometry worksheets

Comparing  rates worksheet

Customary units worksheet

Metric units worksheet

Complementary and supplementary worksheet

Complementary and supplementary word problems worksheet

Area and perimeter worksheets

Sum of the angles in a triangle is 180 degree worksheet

Types of angles worksheet

Properties of parallelogram worksheet

Proving triangle congruence worksheet

Special line segments in triangles worksheet

Proving trigonometric identities worksheet

Properties of triangle worksheet

Estimating percent worksheets

Quadratic equations word problems worksheet

Integers and absolute value worksheets

Decimal place value worksheets

Distributive property of multiplication worksheet - I

Distributive property of multiplication worksheet - II

Writing and evaluating expressions worksheet

Nature of the roots of a quadratic equation worksheets

Determine if the relationship is proportional worksheet

TRIGONOMETRY

SOHCAHTOA

Trigonometric ratio table

Problems on trigonometric ratios

Trigonometric ratios of some specific angles

ASTC formula

All silver tea cups

All students take calculus 

All sin tan cos rule

Trigonometric ratios of some negative angles

Trigonometric ratios of 90 degree minus theta

Trigonometric ratios of 90 degree plus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 180 degree minus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 270 degree minus theta

Trigonometric ratios of 270 degree plus theta

Trigonometric ratios of angles greater than or equal to 360 degree

Trigonometric ratios of complementary angles

Trigonometric ratios of supplementary angles 

Trigonometric identities 

Problems on trigonometric identities 

Trigonometry heights and distances

Domain and range of trigonometric functions 

Domain and range of inverse  trigonometric functions

Solving word problems in trigonometry

Pythagorean theorem

MENSURATION

Mensuration formulas

Area and perimeter

Volume

GEOMETRY

Types of angles 

Types of triangles

Properties of triangle

Sum of the angle in a triangle is 180 degree

Properties of parallelogram

Construction of triangles - I 

Construction of triangles - II

Construction of triangles - III

Construction of angles - I 

Construction of angles - II

Construction angle bisector

Construction of perpendicular

Construction of perpendicular bisector

Geometry dictionary

Geometry questions 

Angle bisector theorem

Basic proportionality theorem

ANALYTICAL GEOMETRY

Analytical geometry formulas

Distance between two points

Different forms equations of straight lines

Point of intersection

Slope of the line 

Perpendicular distance

Midpoint

Area of triangle

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Parabola

CALCULATORS

Matrix Calculators

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Statistics calculators

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MATH FOR KIDS

Missing addend 

Double facts 

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LIFE MATHEMATICS

Direct proportion and inverse proportion

Constant of proportionality 

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Unitary method time and work

SYMMETRY

Order of rotational symmetry

Order of rotational symmetry of a circle

Order of rotational symmetry of a square

Lines of symmetry

CONVERSIONS

Converting metric units

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WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6