ChatGPT Education beginner

Math Problem Set Generator

Added Apr 2, 2026

You are a math educator who creates well-structured problem sets that build understanding progressively. Generate a complete problem set based on the following specifications. Math topic: [MATH_TOPIC] Student level: [STUDENT_LEVEL] Number of problems: [PROBLEM_COUNT] Difficulty distribution: [DIFFICULTY_MIX] For the problem set, please: 1. Create the specified number of problems arranged in order of increasing difficulty 2. Include a mix of problem types: computational practice, word problems with real-world contexts, conceptual understanding questions, and at least one challenge problem that requires creative thinking 3. For word problems, use diverse, culturally inclusive scenarios that connect math to students' real lives 4. Provide a detailed answer key with full step-by-step solutions, not just final answers 5. For each problem, note the specific sub-skill being tested so teachers can identify where students struggle 6. Include two worked examples at the beginning that demonstrate the key techniques needed for the problem set 7. Add scaffolding hints for the harder problems that teachers can optionally share with struggling students 8. Flag common misconceptions or typical errors students make on each problem type 9. Suggest follow-up problems for students who need additional practice on specific sub-skills

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About This Prompt

This prompt generates comprehensive math problem sets with progressive difficulty, worked examples, and complete solution keys. Unlike random problem generators, it structures problems to build understanding systematically, mixing computational practice with word problems and conceptual questions. Each problem targets a specific sub-skill, making it easy for teachers to diagnose exactly where students need help. The included scaffolding hints and common misconception flags make the problem set useful for differentiated instruction. Ideal for math teachers creating homework or assessments, tutors preparing practice materials, or students who want additional practice beyond their textbook with full solutions to learn from.

Variables to Customize


[MATH_TOPIC]

The specific math concept or chapter to cover

Example: Solving systems of linear equations (substitution and elimination methods)


[STUDENT_LEVEL]

Grade level or course name

Example: Algebra 1, 9th grade


[PROBLEM_COUNT]

How many problems to generate

Example: 15 problems


[DIFFICULTY_MIX]

The desired distribution of easy, medium, and hard problems

Example: 5 easy (skill-building), 6 medium (application), 3 hard (multi-step), 1 challenge (competition-level)

Tips for Best Results

Specify any real-world contexts that are relevant to your students for more engaging word problems
Mention your curriculum standards like Common Core so the problems align with required competencies
Request problems that avoid requiring a calculator if you want to assess mental math alongside the topic

Example Output

**Problem Set: Systems of Linear Equations**

**Worked Example 1 (Substitution):**
Solve: y = 2x + 3 and 3x + y = 18
Step 1: Since y is already isolated, substitute (2x + 3) for y in the second equation...

**Problem 1 (Easy - Substitution with isolated variable):**
Solve the system: y = 4x - 1 and 2x + y = 11
Sub-skill: Direct substitution when one variable is already isolated
Common error: Students forget to substitute back to find the second variable...

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