AP Calculus AB study guide
Aligned to College Board's current AP Calculus AB exam information and course framework
601 practice questions
130 flashcards
Completely free

AP Calculus AB Exam Prep

Practice limits, derivatives, integrals, applications, differential equations, multiple choice, and free response with 601 original questions.

601 questions
College Board structure
FRQ justification

Most popular

Start with free practice questions

Jump into a mixed set drawn from 601 free practice questions.

Free Practice Questions

Exam structure

Know the split before you start drilling

Section I: Multiple Choice

45 items

45 scored + 0 pretest

Section II: Free Response

6 items

6 scored + 0 pretest

Duration

3 hours 15 minutes

College Board lists AP Calculus AB as 3 hours and 15 minutes.

Multiple choice

45 questions

Section I is 1 hour 45 minutes and 50% of the score.

Free response

6 questions

Section II is 1 hour 30 minutes and 50% of the score.

Calculator use

Selected parts

Both sections include calculator and no-calculator parts.

Core focus

Limits, derivatives, integrals

The AB course emphasizes change, rates, accumulation, and applications.

Bank size

601

This prep page includes 601 original practice questions.

Start here

How to study for AP Calculus AB

Use this sequence for the cleanest AP Calculus AB study pass.

1

1. Stabilize notation and meaning

Separate limits, derivative values, rate interpretations, integrals, area, and accumulation.

2

2. Drill applications

Practice motion, related rates, optimization, graph analysis, area, volume, and differential equations.

3

3. Finish with free response

Write setup, show reasoning, include units, verify conditions, and state conclusions in context.

About the exam

AP Calc AB Exam structure

AP Calculus AB prep with 601 original practice questions aligned to College Board's current exam format, calculus units, calculator and no-calculator tasks, flashcards, weighted mocks, and topic recovery.

Issuer and path

AP Calculus AB Exam Prep is administered through College Board. Check official resources before booking, retesting, or relying on a stale requirement.

Section I: Multiple Choice

45 items

45 scored + 0 pretest

Calculator and no-calculator multiple-choice questions covering limits, derivatives, integrals, applications, and representations.

Section II: Free Response

6 items

6 scored + 0 pretest

Calculator and no-calculator free-response tasks requiring setup, calculation, interpretation, and mathematical justification.

Before exam day

Confirm your school's AP registration process, approved calculator policy, Bluebook setup if applicable, accommodations, and local testing schedule.

Official Outline Coverage Map

Coverage is mapped to official outline item counts so content depth can be checked without hard-coding a single exam.

Official outline
TopicOfficial outline itemsYour questionsYour flashcardsConfidence
Limits and Continuity Multiple Choice103610
Priority
Derivative Rules Multiple Choice103610
Priority
Composite, Implicit and Inverse Multiple Choice93510
Strong
Contextual Derivative Multiple Choice114110
Priority
Analytical Applications Multiple Choice155510
Priority
Integration and Accumulation Multiple Choice165910
Priority
Differential Equations and Applications Multiple Choice103910
Strong
Calculator Rate Free Response15010
Priority
No-Calculator Justification Free Response15010
Priority
Area and Volume Free Response15010
Strong
Differentiation Free Response15010
Priority
Accumulation Free Response15010
Priority
Differential Equation Free Response15010
Strong

How to use this guide

How to study for AP Calculus AB

Build every answer around the representation, operation, interval, units, and justification the prompt is actually asking for.

1. Identify the representation

Equation, graph, table, verbal model, slope field, or accumulated rate.

2. Choose the operation

Limit, derivative, integral, theorem, equation solve, approximation, or interpretation.

3. Check conditions

Domain, interval, continuity, differentiability, endpoints, sign, and calculator permission.

4. State the result

Give the value with units or justification that matches the question.

Limits and Continuity Multiple Choice
Multiple Choice

Limits and Continuity Multiple Choice

This topic covers limits from tables, graphs, algebraic forms, one-sided limits, infinite behavior, continuity, and the Intermediate Value Theorem.

Key rules

Rule 1

Limits and Continuity Multiple Choice questions test AP Calculus AB reasoning with limits, derivatives, integrals, rates, accumulation, and justifications.

Exam cue: Name the task: evaluate a limit, differentiate, interpret a derivative, analyze behavior, integrate, solve a differential equation, or justify a conclusion.

Rule 2

The strongest answer identifies the representation, operation, interval, condition, and requested quantity before calculating.

Exam cue: Check notation, domain, units, graph behavior, calculator permission, interval endpoints, and whether the response asks for value, rate, area, or accumulation.

Rule 3

Eliminate choices that use the right formula on the wrong function, interval, units, sign, or endpoint behavior.

Exam cue: Use exact values and symbolic reasoning when required; use calculator output only when the section permits and the setup is correct.

Common traps

Solving a nearby problem while missing the quantity named in the stem.

Prevention: Name the controlling rule before selecting the answer.

Forgetting that derivative, integral, average rate, average value, and net change answer different questions.

Prevention: Name the controlling rule before selecting the answer.

Giving a numerical answer without the sign, units, interval, or justification needed by the prompt.

Prevention: Name the controlling rule before selecting the answer.

Memory anchors

Limit

A limit describes the value a function approaches as the input approaches a point.

One-Sided Limit

A one-sided limit follows the function from only the left or only the right.

Continuity

Continuity at a point requires the function value, limit, and equality between them.

Removable Discontinuity

A removable discontinuity occurs when a hole prevents continuity but the limit exists.

Jump Discontinuity

A jump discontinuity occurs when one-sided limits are finite but unequal.

Infinite Limit

An infinite limit describes unbounded output near an input value.

Squeeze Theorem

The Squeeze Theorem traps a function between two functions with the same limit.

Intermediate Value

The Intermediate Value Theorem guarantees values between endpoint outputs for continuous functions.

Asymptote

An asymptote describes behavior approached by a graph rather than necessarily reached.

Limit Algebra

Limit algebra works only when the operations are valid for the functions involved.

Next best moves

Quick check-up

Use a short quiz to confirm the rule pattern is actually sticking.

Check-up Questions

1-2 question checkpoint

Evaluate lim as x approaches 3 of (x^2 - 9)/(x - 3).

Evaluate lim as x approaches 0 of (sin(5x))/x.

Answer all questions to submit.

Next step personalized recommendations

Open another topic next

Official resources

Verify the details with the official sources

Use these links for eligibility, scheduling, handbook rules, and issuer updates. Our guide helps you study; official sources tell you what the testing partner currently requires.

FAQ

Common AP Calc AB questions

Is this official College Board AP Calculus AB content?

No. These are original practice questions aligned to College Board's public AP Calculus AB exam format and course framework.

What is on the AP Calculus AB exam?

College Board lists 45 multiple-choice questions and 6 free-response questions, with calculator and no-calculator parts.

How is the weighted mock built?

The mock preserves the official item structure: 45 multiple-choice questions and 6 free-response review items.

What does math mode include?

Math mode includes the full AP Calculus AB bank because every topic is mathematical reasoning, setup, interpretation, or justification.

How should I practice free response?

Show setup, use correct notation, include units in context, verify theorem conditions, and write a final sentence that answers the prompt.

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