AP Calculus BC review: exam format, the 10 units, and how to study

What’s on the AP Calculus BC exam

The AP Calculus BC exam splits evenly into two sections. Section I is 45 multiple-choice questions in 1 hour 45 minutes, worth 50%: Part A is 30 questions in 60 minutes with no calculator, and Part B is 15 questions in 45 minutes where a graphing calculator is required. Section II is 6 free-response questions in 1 hour 30 minutes, also 50%: Part A is 2 questions in 30 minutes with a calculator, and Part B is 4 questions in 60 minutes without one.

BC is essentially AB plus more — it adds infinite series, parametric, polar, and vector functions, and extra integration techniques, and it reports a separate AB subscore. As on AB, no formula sheet is provided, so our AP Calculus BC formula sheet is a study reference to memorize, not something you carry in. The exam is a hybrid: the multiple choice and free-response prompts appear in the Bluebook app, but you handwrite your free-response work in a paper booklet, and you can use a handheld graphing calculator or the built-in Desmos on the calculator parts.

The 10 units of AP Calculus BC

AP Calculus BC is organized into ten units — the eight from AB plus two that define BC: parametric/polar/vector functions and infinite series. Integration and series are the two heaviest.

How AP Calculus BC is scored

Your multiple-choice and free-response points combine into one composite score, which the College Board scales to a 1–5 each year, and BC also reports an AB subscore based on the AB-level questions. BC is one of the highest-scoring AP exams: in 2024, 80.9% of students scored a 3 or higher, 47.7% earned a 5, and the mean was 3.92 — though that partly reflects a strong, self-selecting group of students, not an easy exam.

What separates scores at the top is the free response, where setup, notation, and justification all earn points. To see what a practice raw score becomes, run it through our AP Calculus BC score calculator.

How to study for AP Calculus BC

Because no formula sheet is provided, first memorize the toolkit — the derivative and integral rules, the theorems, and, above all, the series formulas and convergence tests that define BC. Our formula sheet collects exactly what to know, and the AP Calc BC cheat sheet pairs each unit with its key idea and common trap.

Then put most of your reps into free-response practice, since it is half the exam and always includes a series question. Work past questions against the rubric with our AP Calculus BC FRQ guide, and drill one unit at a time — especially series and parametric/polar — with the Progress Check walkthroughs.

When is the AP Calculus BC exam, and how long is it

AP Calculus BC is given once a year during the College Board’s May testing window, and the exam takes 3 hours and 15 minutes. The exact date and start time are set each year, so confirm the current schedule on the official AP calendar with your coordinator before you plan around it.