AP exams, 8 units
AP Calculus AB exam guide
All eight AP Calculus AB units with published exam weightings, from limits through applications of integration.
Follows the fall 2020 course and exam description, from 3 May 2021
Overview
What AP Calculus AB covers.
AP Calculus AB covers the material of a first-semester college calculus course: limits and continuity, differentiation and its applications, and integration and its applications, including separable differential equations. The Course and Exam Description organizes that content into eight units, each with a published weighting range, and pairs it with mathematical practices that emphasize justification and communication.
The published weightings put integration and the analytical applications of differentiation at the top, which reflects how the free-response section is written: accumulation functions, related rates, optimization, and the Fundamental Theorem of Calculus appear year after year. The exam also insists on notation and justification, so a correct answer with no supporting reasoning routinely loses points.
Arcade Academy is an independent study workspace. Use the official Course and Exam Description as the authoritative content list and the official exam page for current format details, and use the unit pages below to organize problem practice and timed free-response work.
At a glance
- Total time
- 3 hours 10 minutes
- Section I
- 42 multiple-choice questions in 1 hour 40 minutes, 50% of the exam score
- Section I detail
- Part A is 29 questions in 62 minutes with no calculator; Part B is 13 questions in 38 minutes with a graphing calculator required
- Section II
- 6 free-response questions in 1 hour 30 minutes, 50% of the exam score
- Section II detail
- Part A is 2 questions in 30 minutes with a graphing calculator required; Part B is 4 questions in 60 minutes with no calculator
- Format update
- The multiple-choice count and section timing changed beginning with the May 2027 exam; confirm the current numbers on the official exam page
- Delivery
- Hybrid digital: multiple-choice questions are answered and free-response prompts are read in College Board's Bluebook app, and free-response answers are handwritten in a paper booklet
- Score scale
- 1 to 5
- Governing body
- College Board
- Who takes it
- High school students taking a first calculus course for college credit or placement, typically after precalculus.
Scoring
The multiple-choice and free-response sections each contribute half of a composite score, which College Board converts to the reported 1 to 5 scale using cut points set for that year's exam. Colleges set their own credit and placement policies, and many treat AB and BC scores differently, so check the specific institution.
Exam structure
Units
AP Calculus AB covers 8 units. Open one for its topics, published weighting, and section-specific study tips.
Unit 1: Limits and Continuity
10–12%Unit 1 introduces the limit as the idea that makes calculus work, then defines continuity in terms of it. Algebraic, graphical…
6 topics
Unit 2: Differentiation: Definition and Fundamental Properties
10–12%Unit 2 defines the derivative as a limit of difference quotients, then builds the basic rules that make computation practical…
6 topics
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
9–13%Unit 3 extends differentiation to the cases that matter most in applications. The chain rule enables everything that follows…
6 topics
Unit 4: Contextual Applications of Differentiation
10–15%Unit 4 puts derivatives to work in applied settings. Motion along a line, related rates, linear approximation, and L'Hospital's…
6 topics
Unit 5: Analytical Applications of Differentiation
15–18%Unit 5 carries one of the largest published weightings in AB. It covers the Mean Value Theorem and Extreme Value Theorem, the…
6 topics
Unit 6: Integration and Accumulation of Change
17–20%Unit 6 carries the largest published weighting in the course. Riemann sums lead to the definite integral, the Fundamental Theorem…
6 topics
Unit 7: Differential Equations
6–12%Unit 7 covers modeling with differential equations at the AB level: interpreting and sketching slope fields, verifying solutions…
5 topics
Unit 8: Applications of Integration
10–15%Unit 8 uses the definite integral to compute quantities: average value, area between curves, accumulated change in motion…
5 topics
Study strategies
How to work through this exam.
These strategies follow from the exam's own structure. Adapt them to the time you actually have each week.
- Weight practice by the published unit percentages, giving integration and the analytical applications of differentiation the largest share of sessions.
- Practice writing justifications in the exact language the rubrics use, because on the free-response section a correct answer with no reasoning frequently earns partial or no credit.
- Split practice between calculator and no-calculator conditions, since both sections of the exam have a part of each and the skills differ.
- Work the recurring free-response formats deliberately: a rate-in and rate-out accumulation problem, a table-of-values problem, a particle motion problem, and an area or volume problem.
- Keep derivative and antiderivative rules on a spaced-repetition schedule so recall stays automatic while your time goes to problem setup.
- Take at least one full timed exam; the exam is more than three hours long and pacing across four separately timed parts is its own skill.
Common questions
AP Calculus AB questions students ask.
How is the AP Calculus AB Exam structured?
The exam runs 3 hours 10 minutes. Section I is 42 multiple-choice questions in 1 hour 40 minutes for 50% of the score, split into a 29-question no-calculator part and a 13-question calculator part. Section II is 6 free-response questions in 1 hour 30 minutes for the other 50%, split into a 2-question calculator part and a 4-question no-calculator part. Confirm current numbers on the official exam page, since the format changed beginning with the May 2027 exam.
Which AP Calculus AB units are hardest?
College Board does not rank difficulty. Students most often report that the justification requirements in Unit 5 and the setup work in Unit 8 volumes take the most practice, and that related rates in Unit 4 is a common sticking point. Practice results should determine where you spend time.
How is the exam scored?
Both sections contribute equally to a composite score that is converted to the reported 1 to 5 scale using cut points set each year. Colleges publish their own credit and placement policies, and many distinguish between AB and BC scores, so check each institution.
Should I take AB or BC?
AB covers roughly a first-semester college calculus course, while BC adds parametric, polar, and vector-valued functions and infinite series and moves faster. Students choose based on pacing preference, schedule, and the sequence their school offers, not on any assumption that one score is easier to earn.
What is the calculator policy, and how is the exam delivered?
A graphing calculator is required for one part of each section and prohibited on the other part. AP Calculus AB is a hybrid digital exam: multiple-choice questions are answered in College Board's Bluebook app and free-response answers are handwritten in a paper booklet. Confirm current policy on the official exam page.
Is Arcade Academy affiliated with College Board?
No. AP® is a registered trademark of College Board, which was not involved in the production of, and does not endorse, this site. Arcade Academy is an independent educational resource.
Before you build the schedule
Exam structures change. Confirm the current format, eligibility, and policies with College Board before you commit to a study plan.
Official exam information opens in a new tabGuide structure last checked against official sources on August 30, 2026.
Markdown version of this guide for citation, offline reading, and language models.
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