AP® Calculus FRQ Finder
Find practice questions and explore comprehensive topic associations for AP® Calculus Free Response Questions. Search every year's FRQ questions (or question parts) by unit, topic, and calculator usage.
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Master AP® Calculus FRQs
Our FRQ Finder organizes every AP® Calculus Free Response Question from recent years, giving you powerful ways to find exactly what you need to practice.
Question Parts
Browse individual parts (2024 Q1a, Q1b, etc.) with specific topics and direct links to questions and solutions.
Full Questions
View complete questions (Q1, Q2, etc.) with all topics and units combined for comprehensive study planning.
Smart Filtering
Course & Year
Filter by AP® Calculus AB, BC, or both. Select specific years (2022-2024) or view all. Recent years reflect the current exam format.
Calculator Usage
Questions 1-2 allow calculators, while 3-6 are calculator-free. Practice the right skills for each question type.
Topics & Units
Search and select specific calculus topics. Choose entire units or individual topics. Case-insensitive search with partial matching.
Quick Actions
Clear all filters instantly or save your preferences. Direct links to questions and video solutions in every result.
Quick Start
Choose your approach
Start with Question Parts or Full Questions
Set your filters
Course, year, calculator, topics
Start practicing
Click questions for full problems & solutions
Pro Tips
- Start with Full Questions to understand scope
- Use Question Parts for targeted skill practice
- Focus on recent years (2024-2021), then move to older years
- Mix calculator and non-calculator practice
- Practice with time constraints - each FRQ should take about 15 minutes
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About the AP® Exam
Understanding how Free Response Questions work within the AP® Calculus exam structure and what you need to know to succeed.
How FRQs Fit Into the AP® Calculus Exam
The AP® Calculus exam consists of two main sections: Multiple Choice (50% of score) and Free Response Questions (50% of score). The FRQ section is where students demonstrate their ability to apply calculus concepts, show their work clearly, and explain their mathematical reasoning. This section is crucial for achieving a high score and requires specific preparation strategies.
Frequently Asked Questions
What are AP® Calculus Free Response Questions?
AP® Calculus Free Response Questions (FRQs) are the open-ended portion of the AP® Calculus exam that require students to show their work and explain their reasoning. These questions test deep understanding of calculus concepts and problem-solving skills. Unlike multiple choice questions, FRQs allow students to demonstrate their mathematical thinking process and earn partial credit for correct work, even if the final answer is incorrect.
How many FRQs are on the AP® Calculus exam and what types are there?
Both AP® Calculus AB and BC exams have 6 free response questions, each worth 9 points. The questions are divided into two categories based on calculator usage:
Calculator Active (Q1-Q2)
These questions allow calculator use and typically involve complex calculations, graphing, or numerical methods. Perfect for practicing with technology integration and real-world applications.
Calculator Inactive (Q3-Q6)
No calculator allowed - focus on algebraic manipulation, conceptual understanding, and analytical reasoning. Essential for building strong mathematical foundations and theoretical knowledge.
What topics are commonly tested in AP® Calculus FRQs?
Common topics include derivatives, integrals, limits, related rates, optimization, area under curves, volume of revolution, differential equations, and for BC students: series, parametric equations, and polar coordinates. Each topic can appear in both calculator and non-calculator questions, so it's important to practice both approaches.
How can I improve my FRQ scores?
Practice regularly with past exam questions, focus on showing clear work and reasoning, manage your time effectively (about 15 minutes per question), and review scoring rubrics to understand what graders look for in high-scoring responses. Use our FRQ finder to target specific topics and question types you need to strengthen.