Practice AP Calculus free-response questions for both AB and BC. FRQs test your ability to apply calculus concepts, show work, and justify solutions.
AP Calc FRQ Format
- 6 free-response questions (9 pts each)
- Part A: 2 questions with calculator (30 min)
- Part B: 4 questions without calculator (60 min)
- Covers integration, differentiation, series, and applications
AP Calc AB · AP Calc BC · All Courses
What AP Calculus FRQ graders reward
Calculus free response grades the communication of your reasoning, not just the final number. Points come from showing the setup (the integral or derivative you used), carrying correct units, and — when asked to "justify" — supporting your answer with calculus (a sign change in f′, the second derivative, the Candidates Test), not English intuition. A bare correct answer often scores lower than incorrect arithmetic built on a right setup.
The mistakes that cost the most points
- An answer with no supporting work — show the integral/derivative expression you evaluated.
- "Justify" answered in words — justification must cite calculus (e.g., "f′ changes from + to −").
- Dropped units on rate and accumulation problems.
- Rounding too early — keep extra digits until the final answer.
AimFive grades your free-response answers point-by-point on the official rubric with published accuracy data — write one and see exactly which points you earned. Start practicing free.
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