Word Problem Generator
Generate random math and algebra word problems with full step by step solutions for practice or teaching.
Word Problem Generator
Common word problem types reference table
Common word problem types reference table lists the categories of word problems this generator creates along with the core math skill each one practices.
| Problem type | Core skill practiced |
|---|---|
| Coins with addition and multiplication | Multiplying value by quantity and summing totals |
| Division word problem | Splitting a total into equal parts |
| Algebra word problem using coins | Setting up and solving a linear equation |
| Algebra word problem using age | Translating relationships into expressions |
| Percentage change word problem | Calculating percent increase or decrease |
How this word problem generator works
This word problem generator works by randomly selecting numbers and plugging them into a proven word problem template, then solving the resulting equation behind the scenes so a full solution is ready the moment you click Show solution. Choose a problem type from the dropdown menu, click Generate problem to create a brand new scenario, and click Show solution to reveal the equation, the step by step work, and the final answer.
Because the numbers change every time you click Generate problem, you can create unlimited practice problems of the same type without repeating the same scenario twice.
Coin and money word problems
Coin and money word problems ask you to find a total value when given a quantity of different coins or bills, which requires multiplying each item by its value and adding the results together. These problems build the foundation for understanding rate times quantity relationships used throughout algebra.
Algebra word problems with two unknowns
Algebra word problems with two unknowns describe a situation involving two related quantities, such as two coin types or two people’s ages, and require setting up one equation with one variable by expressing the second quantity in terms of the first.
Percentage change word problems
Percentage change word problems present an original value and a new value, then ask you to calculate how much the value increased or decreased as a percentage. This skill applies directly to real world topics like income changes, sale discounts, and population growth.
Why practice word problems
Practicing word problems matters because it trains you to translate everyday language into mathematical expressions, which is the skill most standardized tests and real world situations actually require. Teachers can also use this generator to quickly produce fresh, varied problems for worksheets, quizzes, or warm up activities without writing new numbers by hand each time.
- Builds confidence translating written scenarios into equations
- Provides unlimited unique practice problems for any skill level
- Shows full worked solutions so students can check their own steps
- Saves teachers time when creating practice sets or quizzes
Frequently asked questions
To solve a math word problem, read the problem carefully, identify what is being asked, assign variables to the unknown quantities, translate the words into an equation, then solve the equation and check that the answer makes sense.
The steps to set up an algebra word problem are to define a variable for the unknown value, write expressions for any other quantities in terms of that variable, translate the relationships described in the problem into an equation, and solve for the variable.
To solve a coin word problem, assign a variable to the number of one type of coin, express the other coin count in terms of that variable, multiply each coin count by its value, set the total equal to the given amount, and solve the resulting equation.
To solve an age word problem, assign a variable to one person’s current age, write the other ages as expressions based on the relationships given, set up an equation using the total or comparison stated in the problem, then solve for the variable.
Percentage change in a word problem is calculated by subtracting the original value from the new value, dividing that difference by the original value, then multiplying by 100 to express the result as a percentage.
Practicing with randomly generated word problems helps students build problem solving skills because each new problem uses different numbers, which prevents memorizing a single answer and instead reinforces the underlying method.