AP Calculus AB: Free Response Question Guide
AP Calculus AB free response questions – types, scoring rules and strategy
The FRQ Section
The AP Calculus AB Free Response Section has 6 questions (3 calculator, 3 no calculator) in 90 minutes. It accounts for 50% of your exam score. Learning to write clear mathematical solutions is as important as the maths itself.
FRQ Question Types
Rate/accumulation problems: Definite integrals in context (most common)
Particle motion: Position, velocity, and acceleration with derivatives
Area/volume: Area between curves, volume by cross-sections
Table problems: Approximating derivatives and integrals from data tables
Scoring Rules
Show ALL work – correct answers without supporting work earn 0
Use correct notation: d/dx, ∫, lim
Units matter in applied problems
A single method error that propagates through gets credit for subsequent correct work
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