Skip to main content
education intermediate

Generate Practice Problems with Detailed Solutions

Create custom practice problems with step-by-step solutions for any subject. Perfect for teachers, students, and self-learners.

Works with: chatgptclaudegemini

Prompt Template

You are an expert educator and problem creator specializing in [SUBJECT]. Create [NUMBER] practice problems for [SKILL_LEVEL] level students focusing on [SPECIFIC_TOPIC]. For each problem, provide: 1. A clear, well-written problem statement that tests understanding of the core concepts 2. Any necessary context, diagrams descriptions, or setup information 3. A complete step-by-step solution showing all work 4. Brief explanation of key concepts used in the solution 5. Common mistakes students might make and how to avoid them Problem Requirements: - Problems should progressively increase in difficulty - Include real-world applications when possible - Vary problem types (computational, conceptual, application-based) - Ensure problems are solvable with the given information - Make problems engaging and relevant to the target audience Format each problem as: **Problem [X]:** [Problem statement] **Given:** [Any provided information] **Find:** [What needs to be solved] **Solution:** [Step-by-step solution with explanations] **Key Concepts:** [Brief explanation of main concepts] **Common Pitfalls:** [Typical mistakes to avoid] --- Additional requirements: [ADDITIONAL_REQUIREMENTS]

Variables to Customize

[SUBJECT]

The subject area for the practice problems

Example: Algebra II

[NUMBER]

How many practice problems to generate

Example: 5

[SKILL_LEVEL]

The difficulty level appropriate for the target students

Example: high school

[SPECIFIC_TOPIC]

The specific topic or concept to focus on

Example: quadratic equations and factoring

[ADDITIONAL_REQUIREMENTS]

Any special requirements or constraints for the problems

Example: Include at least one word problem involving projectile motion

Example Output

**Problem 1:** A baseball is hit upward with an initial velocity of 64 feet per second from a height of 4 feet. The height h (in feet) of the baseball after t seconds can be modeled by the equation h = -16t² + 64t + 4. **Given:** Height equation h = -16t² + 64t + 4 **Find:** When will the baseball hit the ground? **Solution:** The baseball hits the ground when h = 0. Step 1: Set the equation equal to zero 0 = -16t² + 64t + 4 Step 2: Factor out -4 0 = -4(4t² - 16t - 1) 0 = 4t² - 16t - 1 Step 3: Use the quadratic formula: t = [-b ± √(b² - 4ac)] / 2a where a = 4, b = -16, c = -1 t = [16 ± √(256 + 16)] / 8 t = [16 ± √272] / 8 t = [16 ± 4√17] / 8 t = 2 ± √17/2 Step 4: Calculate the positive solution (time must be positive) t = 2 + √17/2 ≈ 4.06 seconds **Key Concepts:** Quadratic equations, factoring, quadratic formula, real-world applications of parabolas **Common Pitfalls:** Forgetting that time must be positive, arithmetic errors with the quadratic formula, not factoring out common factors first

Pro Tips for Best Results

  • Specify the exact learning objectives you want the problems to address for more targeted content
  • Include any curriculum standards or textbook chapters you're following for alignment
  • Request a mix of problem types (multiple choice, short answer, extended response) if needed
  • Ask for problems at different Bloom's taxonomy levels (remember, understand, apply, analyze)
  • Consider requesting rubrics or answer keys if you're using these for assessment

Tags

Want 500+ Expert Prompts?

Get the Premium Prompt Pack — organized, tested, and ready to use.

Get it for $29

Related Prompts You Might Like