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AP Calculus BC

What the AP Calculus BC exam covers, how it's scored, the ten units it's built on, the AB subscore, and how to practice your way to a 5.

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AP Calculus BC is a college-level calculus course and exam that covers everything in AB plus infinite series and parametric, polar and vector functions across ten units. The exam runs 3 hours 15 minutes: Section I is 45 multiple-choice questions and Section II is 6 free-response questions, each split into calculator and no-calculator parts, scored from 1 to 5. BC also reports an AB subscore. It's taken in May, and a 3 or higher is the common passing line — confirm your target college's credit policy.

1–5The AP score scale; a 3 is the common "passing" line.
45 + 645 multiple-choice and 6 free-response questions.
3h 15mCalculator and no-calculator parts in each section.
10 unitsAll of AB plus series, parametric and polar.
What's on it

Two sections, ten units, an AB subscore

BC uses the same 3h 15m, two-section format as AB, but adds series and parametric, polar and vector functions — and reports a separate AB subscore.

Section I — Multiple choice

45 questions, in two parts.

One part allows a graphing calculator and the other doesn't. Discrete questions span AB topics plus series, parametric, polar and vector functions — worth half your score.

Section II — Free response

6 questions, in two parts.

Multi-step problems split into a calculator part and a no-calculator part. They reward correct setup, clear justification and full work — the other half of your score.

Scoring + AB subscore

A 1–5, plus an AB subscore.

The sections combine into one 1–5; BC also reports a separate AB subscore from its AB-level content. A 3 is "qualified." Credit policies are set by each college — confirm yours.

Practice it, unit by unit.

Reading about calculus isn't the same as answering AP-style questions and learning from every miss. Start free and practice by unit.

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The ten units

What AP Calculus BC covers

  • Unit 1 — Limits and Continuity
  • Unit 2 — Differentiation: Definition and Fundamental Properties
  • Unit 3 — Differentiation: Composite, Implicit, and Inverse Functions
  • Unit 4 — Contextual Applications of Differentiation
  • Unit 5 — Analytical Applications of Differentiation
  • Unit 6 — Integration and Accumulation of Change
  • Unit 7 — Differential Equations
  • Unit 8 — Applications of Integration
  • Unit 9 — Parametric Equations, Polar Coordinates, and Vector-Valued Functions
  • Unit 10 — Infinite Sequences and Series

How to study for AP Calculus BC

  • Lock down the AB foundation first — it underpins the AB subscore.
  • Give extra reps to Units 9 and 10: series tests, convergence, parametric and polar.
  • Drill the free-response — show full work and justify every conclusion.
  • Know which problems want the calculator and which don't — practice both ways.
  • Sit timed sets to build pace across both sections.
FAQ

AP Calculus BC questions

What's on the AP Calculus BC exam?
Two sections in 3 hours and 15 minutes, the same format as AB. Section I is 45 multiple-choice questions, split into a calculator part and a no-calculator part. Section II is 6 free-response questions, also split into a calculator part and a no-calculator part. Questions are drawn from the course's ten units, which include everything in AB plus infinite series and parametric, polar and vector functions.
How is AP Calculus BC scored?
On the 1–5 AP scale, with the multiple-choice and free-response sections weighted equally. BC also reports an AB subscore — a separate 1–5 based on the AB-level content within the exam. Score distributions are approximate and vary by year — confirm current data on College Board.
What is the AP Calculus BC AB subscore?
It's a separate 1–5 score calculated from the portion of the BC exam that covers AB-level topics. It lets a college recognize AB-equivalent achievement even if the overall BC score is lower. Whether a school uses the subscore for credit is up to that college — confirm its policy.
What is a good AP Calculus BC score?
A 3 or higher is considered qualified and is the common passing line; a 4 or 5 is strong and earns credit more widely. Whether a score earns credit or placement depends on each college — confirm your target school's credit policy on its site.
When is the AP Calculus BC exam?
In May, on the College Board's fixed AP exam schedule. Confirm the current year's date on College Board.
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