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Math Word Problems

This section will illustrate how word problems can be solved using block diagrams. Students, who have not yet learn algebra, can use the block diagrams to help them visualize the problems in terms of the information given and the data to be found. This allows the student to decide which operators to use: Addition, Subtraction, Multiplication or Division.

For students who already know algebra, we have another section that consists of solving word problems using algebra.

In addition to block diagrams and algebra, we also have a section that uses other types of problem solving strategies.

 

 

Word Problems according to Topics

These lessons and videos show how to use the block diagrams (Singapore Math) method to solve word problems. The blocks can assist the students in visualizing and solving the word problems without using algebra.

Addition Word Problems
(1-step word problems)
Addition Word Problems
(2-step word problems)

Subtraction Word Problems
(1-step word problems)
Subtraction Word Problems
(2-step word problems)

Addition & Subtraction Word Problems (with 2 and 3 steps)
Addition & Subtraction Word Problems (with 2 and 3 amounts)

Multiplication Word Problems
(1-step word problems)
Multiplication Word Problems
(2-step word problems)
Multiplication Word Problems (comparing 2 or 3 amounts)

Division Word Problems
(1-step word problems)
Division Word Problems
(2-step word problems)

Mixed Operations Word Problems
(3-step word problems)
Solving Challenging Word Problems (mixed operations)

Fraction Word Problems
Fraction Word Problems
(more difficult)
Fraction Word Problems

Decimal Word Problems
(1-step word problems)
Decimal Word Problems
(2-step word problems)
Decimal Word Problems

Percent Word Problems

Ratio Word Problems

Algebraic Reasoning

 

 

 

Word Problems according to Grades

2nd Grade Word Problems
(1-step word problems)

3rd Grade Word Problems
Addtion & Subtraction
(2-step word problems)
3rd Grade Word Problems - Multiplication & Division
(2-step word problems)

4th Grade Word Problems
Mixed Operations
(3-step word problems)

5th Grade Word Problems
Ratios & Proportion
5th Grade Word Problems
Percentages

6th Grade Word Problems
Ratios & Fractions
6th Grade Word Problems
Ratios & Proportions
6th Grade Word Problems
Percentages
6th Grade Word Problems
Average Speed

7th Grade Word Problems
7th Grade Word Problems

 

 

Word Problems involving Algebra

The following are worked solutions and videos showing how to solve the types of algebra word problems that are commonly given in classrooms and textbooks.We hope that these samples will help you see how to approach the different types of algebra word problems.

Age Word Problems
Age Problems
Age Problems involving a Single Person,

Age Problems Involving More Than One Person


Average Word Problems
Average Problems

Arithmetic Mean,
Weighted Average
Average Speed


Coin Word Problems
Problems involving Coins,
Stamp problems
Ticket problems


Consecutive Integer Word Problems
Consecutive Integer Problems
Consecutive Integer
Consecutive Odd Integer
Consecutive Even Integer


Digit Word Problems
Simple Digit Problems,
Convert Digits to Numbers and Interchanging Digits

Distance Word Problems
Distance Problems
Travel at Different Rates
Travel in Different Directions
Given Total Time

Fraction Word Problems
Fraction Problems

Geometry Word Problems
Geometry Word Problems
Involving Perimeters
Involving Areas
Involving Angles

 

 

Integer Word Problems
Involving 2 Unknowns,
Involving More Than 2 Unknowns

Interest Word Problems
Interest Problems

Lever Word Problems
Lever Problems
With 2 Objects and With more than 2 Objects


Money Word Problems
Money Word Problems

Motion Word Problems
Motion Problems

Mixture Word Problems
Mixture Problems
Adding to a Solution,
Remove from a Solution,
Replace a Solution,
Mix Items of Different Values


Number Sequence Word Problems
Number Sequence Problems
Value of a Particular Term, Pattern of a Sequence


Proportion Word Problems
Proportion Problems
Directly Proportional, Inversely Proportional

Ratio Word Problems
Ratio Problems
Two-Term Ratios
Three-Term Ratios


Symbol Word Problems
Symbol Problems

Variation Word Problems
Direct Variation Problems
Inverse Variation Problems
Joint Variation Problems


Work Word Problems
Work Problems
Two Persons
More Than Two Persons
Pipes Filling up a Tank


Algebra Word Problems

Videos

Age Word Problems I
Age Word Problems II

Angle Word Problems

Area Word Problems
Area of Rectangles Word Problems
Area of Triangle Word Problems
Area of Parallelogram Word Problems

 

Coin Word Problems I
Coin Word Problems II

Consecutive Integer Word Problems

Consecutive Even and Odd Integer Word Problems

Compound Interest Word Problems I
Compound Interest Word Problems II

Digits Word Problems

 

Geometry Word Problems

Geometry Word Problems using Quadratic Equations

Integer Word Problems I
Integer Word Problems II

Interest Word Problems

Investment Word Problems

Mixture Algebra Word Problems I
Mixture Algebra Word Problems II
Mixture Algebra Word Problems III

Motion Word Problems

One Variable Word Problems

 

Percent Word Problems

Perimeter Word Problems I
Perimeter Word Problems II
Perimeter Word Problems III

Proportion Word Problems

Pythagorean Theorem Word Problems

Quadratic Equations Word Problems

Ratio Word Problems

Rate, Time, Distance Problems I
Rate, Time, Distance Problems II
Rate, Time, Distance Problems III

Simple Interest Word Problems

System of Equations Word Problems

Trigonometry Word Problems

Two-Variable Word Problems

Variation Word Problems

Volume Word Problems

Wind and Current Problems

Work Algebra Word Problems I
Work Algebra Word Problems II

Other types of Problem Solving Strategies

Explore it//Act it/Try it (EAT) method (Basic)
Explore it//Act it/Try it (EAT) method (Intermediate)
Explore it//Act it/Try it (EAT) method (Advanced)

Finding a Pattern (Basic)
Finding a Pattern (Intermediate)
Finding a Pattern (Advanced)

 

 

 

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