AP Calculus BC · Exam Format
AP Calculus BC Exam Format & Section Breakdown
A complete walk-through of the AP Calculus BC exam, drawn from the College Board AP Course and Exam Description: total timing, per-section breakdown, official unit weightings, and the FRQ types you will see on test day.
Section breakdown and timing
| Section | Items | Time | Weight |
|---|---|---|---|
| Section I, Part A — Multiple Choice (no calculator) | 30 questions | 60 minutes | 33.3% of score |
| Section I, Part B — Multiple Choice (calculator) | 15 questions | 45 minutes | 16.7% of score |
| Section II, Part A — Free Response (calculator) | 2 questions | 30 minutes | 16.7% of score |
| Section II, Part B — Free Response (no calculator) | 4 questions | 60 minutes | 33.3% of score |
Total exam length: 3 hours 15 minutes.
The AP Calculus BC exam runs 3 hours 15 minutes end to end and is split into the following sections:
- Section I, Part A — Multiple Choice (no calculator) — 30 questions, 60 minutes, 33.3% of score.
- Section I, Part B — Multiple Choice (calculator) — 15 questions, 45 minutes, 16.7% of score.
- Section II, Part A — Free Response (calculator) — 2 questions, 30 minutes, 16.7% of score.
- Section II, Part B — Free Response (no calculator) — 4 questions, 60 minutes, 33.3% of score.
The College Board publishes the full Course and Exam Description (CED) for AP Calculus BC on AP Central, including the official unit weightings reproduced below, sample multiple-choice items, and at least one full set of released free-response questions with scoring guidelines. ExamEdge US treats that CED as the source of truth for what is testable; every unit guide on this site corresponds to a unit in the official framework, and every FRQ walkthrough on this site mirrors the structure of a real released question.
Understanding the section breakdown is itself a score-lift technique. Many students who report "I knew the content but ran out of time" did not budget per-question time before walking in. Use the per-question time implied by the table above as a hard pacing limit during practice — for example, if Section II of AP Calculus BC gives you 90 minutes for 6 free-response questions, your average is 15 minutes per FRQ, and any FRQ that you have not at least sketched in 15 minutes should be skipped to the next so that you maximize point capture across all six.
The unit weightings below indicate the percentage of multiple-choice questions drawn from each unit in a typical release. Two practical implications: first, no unit is small enough to skip — even a 5–7% unit will contribute a measurable number of multiple-choice points. Second, the highest-weight unit on the exam deserves at least one full study session per week from week 2 onward, because a 17–20% unit will materially move your final score in either direction.
For each section above, the College Board publishes targeted skills (in AP Biology these are called Science Practices; in AP US History they are Historical Reasoning Skills; in AP Chemistry they are Science Practices). The skills do not change between exam years, so a student who masters the skill list will be able to answer next year's questions even though the specific stimuli will differ.
Official unit weightings
The percentages below come from the College Board AP Course and Exam Description for AP Calculus BC. They indicate the share of multiple-choice questions drawn from each unit on a typical exam release.
| Unit | Exam weight |
|---|---|
| Unit 1: Limits and Continuity | 4–7% |
| Unit 2–4: Differentiation | 15–24% |
| Unit 5: Analytical Applications of Differentiation | 6–9% |
| Unit 6: Integration and Accumulation of Change | 17–20% |
| Unit 7: Differential Equations | 6–9% |
| Unit 8: Applications of Integration | 6–9% |
| Unit 9: Parametric, Polar, and Vector Functions | 11–12% |
| Unit 10: Infinite Sequences and Series | 17–18% |
Free-response question types
Every AP Calculus BC FRQ falls into one of the published types below. ExamEdge US has a full annotated walkthrough for each one — open any link to see a representative prompt, the College Board-style scoring rubric, a sample student response, and grader commentary on where the points are typically won and lost.
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FRQ 1: FRQ 1 — Calculator-Active Function Defined by an Integral
FRQ 1 — Calculator-Active Function Defined by an Integral — Annotated walkthrough of an AP Calculus BC FRQ 1 — Calculator-Active Function Defined by an Integral free-response question, with prompt, scoring rubric, sample student response, and grader commentary.
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FRQ 2: FRQ 2 — Calculator-Active Particle Motion (parametric)
FRQ 2 — Calculator-Active Particle Motion (parametric) — Annotated walkthrough of an AP Calculus BC FRQ 2 — Calculator-Active Particle Motion (parametric) free-response question, with prompt, scoring rubric, sample student response, and grader commentary.
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FRQ 3: FRQ 3 — Tabular Analysis (no calculator)
FRQ 3 — Tabular Analysis (no calculator) — Annotated walkthrough of an AP Calculus BC FRQ 3 — Tabular Analysis (no calculator) free-response question, with prompt, scoring rubric, sample student response, and grader commentary.
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FRQ 4: FRQ 4 — Differential Equation with Slope Field (no calculator)
FRQ 4 — Differential Equation with Slope Field (no calculator) — Annotated walkthrough of an AP Calculus BC FRQ 4 — Differential Equation with Slope Field (no calculator) free-response question, with prompt, scoring rubric, sample student response, and grader commentary.
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FRQ 5: FRQ 5 — Analytical Application of Derivatives (no calculator)
FRQ 5 — Analytical Application of Derivatives (no calculator) — Annotated walkthrough of an AP Calculus BC FRQ 5 — Analytical Application of Derivatives (no calculator) free-response question, with prompt, scoring rubric, sample student response, and grader commentary.
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FRQ 6: FRQ 6 — Power Series / Taylor Series (no calculator)
FRQ 6 — Power Series / Taylor Series (no calculator) — Annotated walkthrough of an AP Calculus BC FRQ 6 — Power Series / Taylor Series (no calculator) free-response question, with prompt, scoring rubric, sample student response, and grader commentary.