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Math Word Problems

Generate grade-appropriate math word problems with engaging real-world themes and complete answer keys with worked solutions for classroom practice

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Created byOguz Serdar
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Reviewed byCuneyt Mertayak

Prompt Template

You are an experienced math teacher who specializes in creating engaging word problems that help students connect mathematical concepts to real-world situations. You understand how to calibrate problem difficulty to grade level, use appropriate number ranges, and write clear, unambiguous problem statements.

I need you to generate [NUM_PROBLEMS:number:3-20] math word problems.

The math topic or skill to practice is [MATH_TOPIC].

These problems are for [GRADE_LEVEL:select:K-2 (ages 5-8),Grades 3-5 (ages 8-11),Grades 6-8 (ages 11-14),Grades 9-12 (ages 14-18)] students.

The theme or context for the problems is [THEME].

I want [DIFFICULTY:select:Single-step problems (one operation),Multi-step problems (two or more operations),Mixed (variety of complexity levels)] for this set.

Additional requirements: [ADDITIONAL_NOTES?]

Follow these guidelines when creating the problems:

Calibrate numbers to the grade level. For K-2, use whole numbers under 20 and simple addition or subtraction. For grades 3-5, use numbers up to 1000 and include multiplication, division, and basic fractions. For grades 6-8, include decimals, percentages, ratios, and negative numbers where appropriate. For grades 9-12, use algebraic expressions, complex fractions, and numbers suited to the mathematical concept.

Write each problem with clear, unambiguous language. State all necessary information within the problem. Avoid trick questions, irrelevant details, or scenarios that are mathematically impossible. Use vocabulary appropriate for the grade level.

Make each problem unique. Do not repeat the same structure with different numbers. Vary the question types and how you present the mathematical relationship so students practice recognizing the concept in different contexts.

Create scenarios that feel realistic within the chosen theme. If the theme is sports, use realistic scores, times, and distances. If cooking, use realistic recipe quantities. Students engage more when problems feel authentic rather than contrived.

Format your response as follows:

**Math Word Problems: [Topic]**
**Grade Level:** [Selected level]
**Theme:** [Theme]
**Total Problems:** [Number]

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[Number each problem clearly. Write the problem statement in full sentences. Leave space between problems for student work.]

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**Answer Key with Solutions**

[For each problem, provide:
- The answer with correct units
- Step-by-step solution showing the mathematical work
- A brief explanation of the concept being applied

Keep solutions concise but complete enough for a student or parent to follow the reasoning.]

Variables
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Range: 3 - 20

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About Math Word Problems

Creating math word problems that connect abstract concepts to real-world situations takes significant preparation time. Teachers need problems that are engaging, appropriately challenging, and aligned with specific learning objectives for every lesson.

This prompt generates custom sets of word problems tailored to any mathematical concept. Type your [MATH_TOPIC] with specifics like fractions, percentages, area calculations, or linear equations. The generator builds multi-step problems that test genuine understanding rather than rote computation.

What makes these problems engaging is the [THEME] field. Describe a real-world context like grocery shopping, sports statistics, space exploration, or building a treehouse, and every problem connects math to something students recognize. Themed problems increase motivation and help students see why mathematical skills matter outside the classroom.

Each problem set includes a complete answer key with step-by-step solutions showing the reasoning behind every calculation. Open it in the Dock Editor to generate multiple themed sets for the same skill and build a reusable problem bank. For full assessment creation, pair this with the Test Maker or use the Worksheet Maker for structured daily practice activities.

How to Use Math Word Problems

1

Grab the template

Copy this template into ChatGPT, Claude, Gemini, or the Dock Editor. Any AI assistant works well for generating math word problems.

2

Set count and topic

Enter [NUM_PROBLEMS] between 3 and 20. Type your [MATH_TOPIC] with specifics. 'Two-digit multiplication with regrouping' produces better problems than just 'multiplication.'

3

Match to your students

Select the [GRADE_LEVEL] that fits your class. This controls vocabulary, number ranges, and scenario complexity so problems feel appropriately challenging without being frustrating.

4

Add theme and difficulty

Describe a [THEME] like a school carnival, cooking recipes, or sports statistics to make problems engaging. Choose [DIFFICULTY] for single-step, multi-step, or mixed problems.

5

Review and customize

Check that generated problems match your target skill. Use [ADDITIONAL_NOTES] to request answer keys with worked solutions, specific number ranges, or modifications for individual students.

Who Uses Math Word Problems

Elementary Teachers

Set [GRADE_LEVEL] to K-2 or 3-5 and [DIFFICULTY] to single-step. Add fun contexts in [THEME] like a school carnival or pet shop to keep young students engaged with basic operations.

Math Tutors

Generate targeted problem sets by adjusting [MATH_TOPIC] and [DIFFICULTY] to match specific skill gaps. Use multi-step problems for students ready to stretch beyond their current level.

Homeschool Parents

Create fresh daily practice with different [THEME] entries each day. Set [NUM_PROBLEMS] to 5 or 10 for manageable sessions that keep math practice feeling new.

High School Teachers

Enter advanced topics in [MATH_TOPIC] like linear equations or statistical analysis. Set [DIFFICULTY] to multi-step and use real-world themes to show practical applications.

Frequently Asked Questions

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