AP® Exam Prep · College Board Course

AP Calculus AB Practice Test: Free Questions, Flashcards & Unit Review

Study AP Calculus AB with free independent practice, flashcards, and quick review. Connect limits, derivatives, integrals, and their applications, check the current exam format, and compare the AP Calculus AB study guide with your learning needs.

AP CALCULUS AB STUDY HUB — original handwritten comic illustration.

MEET THE ASSESSMENT · CHOOSE YOUR NEXT SKILL

Know AP Calculus AB before you start.

What is the official AP Calculus AB exam format?

For 2027, College Board lists a 3-hour-10-minute hybrid digital exam: 42 multiple-choice questions in 100 minutes and six free-response questions in 90 minutes. Each section contributes half the score, with calculator and non-calculator parts. This independent practice form provides study feedback; prepare written solutions separately.

Official assessment information ↗

Limits and continuity

Check one-sided behavior before stating a limit. Distinguish the limiting value from the function value.

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Derivatives and applications

Connect a derivative to slope or rate of change. Include units when interpreting a result.

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Integration and accumulation

Use the bounds and units to interpret accumulation; check the sign instead of assuming an area is positive.

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Written-solution preparation

Explain your setup and conclusions. Use official free-response resources alongside multiple-choice study.

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PRACTICE TEST 142 QUESTIONS

Practice Test 1

Complete the timed practice form, then review every answer explanation.

  • 42 independent practice questions
  • 62-minute countdown after Begin Test
  • Explanations shown after submission
QUICK REVIEW44 BOXES

Quick Review

Review one concept before practice, then revisit ideas behind your missed answers.

  • 44 concept review boxes
  • One popup study view
  • Return to the Online Center after review
FLASHCARDS194 CARDS

Flashcards

Use active recall to review the terms and ideas in this subject.

  • 194 concept flashcards
  • Search, filter, shuffle, and flip
  • Mark known cards as you study
STUDY MAP5 DOMAINS

Study Topics

Choose a study topic, then use quick review or flashcards to strengthen it.

  • 5 domain cards
  • 44 topics listed below
  • Use review and flashcards for your chosen topic
View study topics
Know before you go

Your Free Study Tools at a Glance

This study Online Center centers the timed practice form, then gives you the quick-review boxes and flashcards you need to repair missed concepts.

📝42Practice questionsIndependent practice form
⏱️62MinutesCountdown timer
🔵194FlashcardsActive recall deck
🟣44Review boxesQuick review
A useful review rule: Do not stop at naming the concept. Explain what it means, how it works, and why it matters in the subject you are studying.
Topic map

AP Calculus AB Topics: Learn and Review

Choose a topic for your next session. Check the official assessment guidance above for current requirements.

44 topics
  1. 1. Estimating Limits Graphically and Numerically
  2. 2. Limit Laws and Algebraic Techniques
  3. 3. Limits Involving Infinity and Asymptotes
  4. 4. Continuity and the Intermediate Value Theorem
  5. 5. The Derivative as a Limit
  6. 6. Differentiability and Its Relationship to Continuity
  7. 7. Power, Constant, Sum, and Difference Rules
  8. 8. Derivatives of Trigonometric, Exponential, and Logarithmic Functions
  9. 9. Tangent Lines and Local Linearity
  10. 10. The Chain Rule
  11. 11. The Product and Quotient Rules
  12. 12. Implicit Differentiation
  13. 13. Derivatives of Inverse and Inverse Trigonometric Functions
  14. 14. Straight-Line Motion: Position, Velocity, Acceleration
  15. 15. Related Rates
  16. 16. L'Hospital's Rule for Indeterminate Forms
  17. 17. Approximating Values Using Differentials
  18. 18. Extreme Value Theorem and Critical Points
  19. 19. Mean Value Theorem and Rolle's Theorem
  20. 20. Using the First Derivative for Increasing/Decreasing and Extrema
  21. 21. Using the Second Derivative for Concavity and Points of Inflection
  22. 22. Sketching Graphs from Derivative Information
  23. 23. Optimization Problems
  24. 24. Riemann Sums and Approximating Area
  25. 25. The Definite Integral and Its Properties
  26. 26. The Fundamental Theorem of Calculus
  27. 27. Antiderivatives and Indefinite Integrals
  28. 28. U-Substitution
  29. 29. Accumulation Functions and Interpreting Integrals in Context
  30. 30. Slope Fields
  31. 31. Euler's Method
  32. 32. Separable Differential Equations and Exponential Growth/Decay
  33. 33. Average Value of a Function
  34. 34. Area Between Curves and Volumes of Solids (Disc, Washer, Cross-Section)
  35. POWER BOX 1 --- Core Formula Sheet
  36. POWER BOX 2 --- Terms Students Always Confuse
  37. POWER BOX 3 --- What Each Derivative Order Tells You
  38. POWER BOX 4 --- Essential Reference Formulas (Beyond the Core Sheet)
  39. POWER BOX 5 --- How to Attack Any Free-Response Problem
  40. POWER BOX 6 --- Exam Format & Question-Type Playbook
  41. POWER BOX 7 --- The Standard Problem-Solving Pathway
  42. POWER BOX 8 --- Graph/Table Reading Emergency Guide
  43. POWER BOX 9 --- AP Trap Statements
  44. POWER BOX 10 --- Final 15-Minute Review

Use this topic list to plan review. The independent study resources are not an official exam blueprint.

Study Topics

Start with the domains below, then use the practice center to turn recognition into recall.

01

1. Estimating Limits Graphically and Numerically

Use the quick review first, then check this domain with the practice questions and flashcards.

02

2. Limit Laws and Algebraic Techniques

Use the quick review first, then check this domain with the practice questions and flashcards.

03

3. Limits Involving Infinity and Asymptotes

Use the quick review first, then check this domain with the practice questions and flashcards.

04

4. Continuity and the Intermediate Value Theorem

Use the quick review first, then check this domain with the practice questions and flashcards.

05

5. The Derivative as a Limit

Use the quick review first, then check this domain with the practice questions and flashcards.

AP Calculus AB covers limits, differentiation, applications of the derivative, and integration. This Online Center works through 34 topics, from estimating limits graphically to straight-line motion, concavity and u-substitution, with 194 flashcards and a 42-question practice test.

Study path

  1. Map the main domains in the Study Topics.
  2. Take the practice test and read every explanation.
  3. Use Quick Review and Flashcards to repair weak spots, then retest.

The practice tools open in a focused study window so you can keep your place on this Online Center.

A USEFUL NEXT STEP

AP Calculus AB: study questions

What is the official AP Calculus AB exam format?

For 2027, College Board lists a 3-hour-10-minute hybrid digital exam: 42 multiple-choice questions in 100 minutes and six free-response questions in 90 minutes. Each section contributes half the score, with calculator and non-calculator parts. This independent practice form provides study feedback; prepare written solutions separately.

Official source ↗
How should I use these independent AP Calculus AB study tools?

Start with a practice activity, review explanations for missed questions, and use quick review or flashcards for one weak topic. The practice results are study feedback, not official exam scores. Compare a book’s contents with your course or test requirements before buying.

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