AP Calculus AB · FRQ Walkthroughs
AP Calculus AB FRQ Walkthroughs
Annotated walkthroughs of every published AP Calculus AB free-response question type. Each one includes 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.
Why work FRQs of every type before May
The single most reliable predictor of an FRQ score lift on AP Calculus AB is whether the student has attempted at least one timed FRQ of every published type before sitting the real exam. Students who walk into May having only practiced two or three FRQ types typically lose 1–3 points to format confusion alone — they recognize the content but not the rubric structure, and they spend the first three minutes orienting instead of writing. Students who have practiced every type spend those three minutes on rubric signposting instead, which is where the points actually live.
The walkthroughs below cover the full set of AP Calculus AB FRQ types as published in the most recent College Board AP Course and Exam Description. Open them in order if you are starting a fresh review cycle, or jump to the type you most recently lost points on.
All 6 FRQ walkthroughs for AP Calculus AB
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FRQ 1: FRQ 1 — Function Defined by an Integral (calculator)
Annotated walkthrough of an AP Calculus AB FRQ 1 — Function Defined by an Integral (calculator) free-response question, with prompt, scoring rubric, sample student response, and grader commentary.
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FRQ 2: FRQ 2 — Particle Motion / Rate Problem (calculator)
Annotated walkthrough of an AP Calculus AB FRQ 2 — Particle Motion / Rate Problem (calculator) free-response question, with prompt, scoring rubric, sample student response, and grader commentary.
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FRQ 3: FRQ 3 — Tabular and Graphical Analysis (no calculator)
Annotated walkthrough of an AP Calculus AB FRQ 3 — Tabular and Graphical 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)
Annotated walkthrough of an AP Calculus AB 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)
Annotated walkthrough of an AP Calculus AB 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 — Area, Volume, and Accumulation (no calculator)
Annotated walkthrough of an AP Calculus AB FRQ 6 — Area, Volume, and Accumulation (no calculator) free-response question, with prompt, scoring rubric, sample student response, and grader commentary.
How to study an FRQ walkthrough
Open any walkthrough and resist the urge to read the sample response first. Read the prompt, set a 12-minute timer, and attempt the question on paper. Then open the rubric and self-score, awarding yourself a point only when you can point at the words on your page that earned it. Only after self-scoring should you read the sample response and the grader commentary — at that point you will read them with a working memory of the actual moves you made and missed, which is dramatically more useful than reading them cold.
Track your self-scored results in a small table: walkthrough number, your self-score, the type of point you most often missed (identification, calculation, application, evaluation, synthesis). After all six walkthroughs, the missed-point pattern is your real study list. Most students discover that they miss a single type of point repeatedly — typically the application point in part (c) or the synthesis point in part (e) — and that fixing that single habit moves the FRQ score more than any amount of additional content review.