Structured topic practice
Work through one calculus topic at a time, identify weak areas, and return to difficult questions after reviewing the explanation.
AP Calculus AB Practice Hard Test
Practice AP Calculus AB online with topic-based tests covering limits, continuity, derivatives, applications of derivatives, integrals, and the Fundamental Theorem of Calculus.
What you'll practice
Choose a topic to see the main skills covered in each practice test.
Test 1 (20 questions) — Limits of Functions
This test focuses on evaluating limits, one-sided limits, infinite limits, and core limit laws. It helps build the foundation for continuity and derivatives.
Test 2 (20 questions) — Continuity
This section covers continuity at a point, removable and non-removable discontinuities, and major theorems such as the Intermediate Value Theorem and Extreme Value Theorem.
Test 3 (20 questions) — Derivatives
This test practices the definition of the derivative, derivative rules, tangent-line meaning, and interpreting derivatives as rates of change.
Test 4 (20 questions) — Applications of Derivatives
Here you work on motion problems, increasing and decreasing behavior, extrema, concavity, optimization, and other standard derivative applications used in AP Calculus AB.
Test 5 (20 questions) — Integrals
This section covers antiderivatives, definite integrals, area and accumulation, the Fundamental Theorem of Calculus, and interpreting integrals in context.
AP Calculus AB Practice
Build calculus skills one topic at a time
These practice tests cover the core ideas of AP Calculus AB: limits, continuity, derivatives, applications of derivatives, integrals, and the Fundamental Theorem of Calculus.
Prepare for AP-style reasoning
Practice evaluating limits, analyzing continuity, applying derivative rules, solving optimization problems, and interpreting definite integrals.
Review your mistakes
Use instant feedback to see where your reasoning went wrong, study the solution, and repeat the test until the method becomes familiar.
Practice at your own pace
Use a test as a short timed drill or work through every question slowly when learning a new topic. No registration is required.