Math Word Problems



Need help solving 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 or tape 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.

Part-Part-Whole Word Problems Comparison Word Problems

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 Addition & 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

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 Word problems with 2 objects and more than 2 objects

Mixture Word Problems

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

Money Word Problems

Money Word Problems
Motion Word Problems

Motion Problems
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 and Combined 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
Coin Word Problems I Coin Word Problems II
Digits Word Problems Integer Word Problems I
Integer Word Problems II Perimeter Word Problems I
Perimeter Word Problems II Area Word Problems
Volume Word Problems Angle Word Problems
Proportion Word Problems Ratio Word Problems
Rate, Time, Distance Problems I Rate, Time, Distance Problems II
Rate, Time, Distance Problems III Simple Interest Word Problems
Compound Interest Word Problems I Compound Interest Word Problems II
Investment Word Problems
Algebra Work Problems I Algebra Work Problems II
Algebra Mixture Problems I Algebra Mixture Problems II
Algebra Mixture Problems III

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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