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AP Calculus AB · Exam review

AP Calculus AB review: exam format, the 8 units, and how to study

The AP Calculus AB exam is a 3-hour-15-minute test of 45 multiple-choice questions and 6 free-response questions, with a graphing calculator allowed on part of each section and no formula sheet provided. This AP Calc AB review covers that format, all eight units, how the exam is scored, and a study plan built to earn a 5.

Updated June 20268 units

What’s on the AP Calculus AB exam

The AP Calculus AB 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.

Two things catch students off guard. First, no formula sheet is provided — unlike AP Statistics or Physics, Calculus AB expects the derivatives, integrals, and theorems memorized, so our AP Calculus AB formula sheet is a study reference rather than something you carry in. Second, the exam is a hybrid: the multiple choice and the 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 8 units of AP Calculus AB

AP Calculus AB is organized into eight units. The course builds from limits into differentiation, then spends its heaviest stretch on integration — Units 5 and 6 alone can be a third of the exam.

1. Limits and Continuity (10–12%)
One- and two-sided limits, continuity, and the Intermediate Value Theorem.
2. Differentiation: Definition & Fundamental Properties (10–12%)
The limit definition of the derivative and the power, product, and quotient rules.
3. Differentiation: Composite, Implicit & Inverse Functions (9–13%)
The chain rule, implicit differentiation, and derivatives of inverse functions.
4. Contextual Applications of Differentiation (10–15%)
Motion, related rates, linear approximation, and L’Hôpital’s rule.
5. Analytical Applications of Differentiation (15–18%)
Increasing/decreasing, concavity, the Mean Value Theorem, and optimization.
6. Integration and Accumulation of Change (17–20%)
Antiderivatives, Riemann sums, the Fundamental Theorem, and u-substitution — the heaviest unit.
7. Differential Equations (6–12%)
Slope fields, separation of variables, and exponential growth and decay.
8. Applications of Integration (10–15%)
Average value, area between curves, and volumes of solids.

How AP Calculus AB 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. AP Calculus AB is a solidly passable exam: in 2024, 64.4% of students scored a 3 or higher, 21.4% earned a 5, and the mean score was 3.22 — strong numbers for a course with this reputation.

What separates a 3 from a 5 is the free response, where you have to show correct setup, clear notation, and justification, not just a final answer. To see what a practice raw score becomes, run it through our AP Calculus AB score calculator.

How to study for AP Calculus AB

Because no formula sheet is provided, step one is memorizing the toolkit — the derivative rules, the common derivatives and antiderivatives, and the big theorems — until you can recall them without thinking. Our formula sheet collects exactly what to know, and the AP Calc AB 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 rewards justification. Work past questions against the rubric with our AP Calculus AB FRQ guide, drill one unit at a time with the Progress Check walkthroughs, and if you are weighing how tough it is, see whether AP Calculus AB is hard.

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

AP Calculus AB 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.

Frequently asked questions

Quick answers, written by humans.

How many questions are on the AP Calculus AB exam?

There are 45 multiple-choice questions and 6 free-response questions, split into two equally weighted sections. The multiple choice and free response are each worth 50% of your score.

How long is the AP Calculus AB exam?

Three hours and 15 minutes: 1 hour 45 minutes for the multiple choice and 1 hour 30 minutes for the six free-response questions.

Is a calculator allowed on the AP Calculus AB exam?

Partly. A graphing calculator (or the built-in Desmos) is required on Part B of the multiple choice and Part A of the free response; the other parts of each section are no-calculator.

Is a formula sheet provided on the AP Calculus AB exam?

No. Unlike AP Statistics or the AP Physics exams, AP Calculus AB gives you no reference sheet, so you are expected to have every formula memorized.

How many units are on AP Calculus AB?

Eight, from Limits and Continuity through Applications of Integration. Integration (Unit 6) and the analytical applications of differentiation (Unit 5) carry the most weight.

Is AP Calculus AB hard?

It is one of the more challenging AP math courses, but very passable — about 64% of students score a 3 or higher. Our difficulty guide goes deeper.

Is the AP Calculus AB exam digital?

It is a hybrid: you answer the multiple choice and view the free-response prompts in the Bluebook app, but you handwrite your free-response work in a paper booklet.

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