AP Calculus AB Exam Preparation

Master AP Calculus AB with 8-unit practice tests, sectional checkpoints, and up to 10 timed AP-style mocks covering limits, derivatives, and integration.

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About the AP Calculus AB Exam

AP Calculus AB is one of the most widely taken AP exams and one of the most consequential for students pursuing STEM fields. The exam consists of 45 Multiple Choice questions (MCQ) and 6 Free Response questions (FRQ), split across calculator and no-calculator portions. The FRQ section rewards students who can set up integrals, interpret derivative behavior, and justify conclusions in written form—not just compute correct numerical answers.

The Eight Units of AP Calculus AB

  1. Limits and Continuity — Limits at a point and at infinity, continuity, and the Intermediate Value Theorem
  2. Differentiation: Definition and Fundamental Properties — Derivative definition, basic rules, and derivative notation
  3. Differentiation: Composite, Implicit, and Inverse Functions — Chain rule, implicit differentiation, and inverse function derivatives
  4. Contextual Applications of Differentiation — Related rates, linear approximation, and L'Hôpital's rule
  5. Analytical Applications of Differentiation — Mean Value Theorem, increasing/decreasing behavior, concavity, and optimization
  6. Integration and Accumulation of Change — Riemann sums, definite integrals, and the Fundamental Theorem of Calculus
  7. Differential Equations — Slope fields and basic separable equations
  8. Applications of Integration — Area between curves, volume of solids of revolution, and accumulation models

How GradePerfect Builds AP Calculus AB Readiness

Unit Practice Tests

Eight focused unit tests allow you to master each stage of the calculus sequence in order. Rushing into integration without solid limits and differentiation skills is one of the most common causes of avoidable errors on the AP exam.

Sectional Checkpoints

Tests at the 30%, 50%, and 70% milestones integrate multiple units, simulating the cumulative reasoning the full exam requires—particularly for multi-part FRQs that combine differentiation and integration concepts.

Up to 10 Full AP-Style Mock Exams

Full-length timed mocks mirror the 45 MCQ + 6 FRQ structure of the AP Calculus AB exam. Time management across both sections is a skill that only improves through repeated full-exam practice.

Past Papers

Exposure to previously released FRQ prompts helps you understand how the scoring rubric rewards process and notation, not just final answers.

More in this subject

Unit Wise Tests
Practice AP Calculus AB unit by unit with targeted tests for all 8 units — from Limits and Continuity through Applications of Integration. Build skills sequentially.
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Sectional Tests
Build cumulative AP Calculus AB fluency with sectional tests at 30%, 50%, and 70% readiness checkpoints — covering Limits through Integration across multi-unit assessments.
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Full Mock Tests
Simulate the AP Calculus AB exam with 10 full-length AP-style mock tests — 45 MCQ and 6 FRQ, calculator and non-calculator sections, with performance review strategies.
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Past Papers
Use AP-style AP Calculus AB past papers to study recurring FRQ patterns — area, volume, motion, slope fields, and accumulation functions — and sharpen exam justification skills.
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Syllabus

Frequently asked questions

AP Calculus AB covers eight units: limits and continuity, differentiation fundamentals, composite and implicit differentiation, contextual and analytical applications of differentiation, integration and accumulation of change, differential equations, and applications of integration. The course covers roughly the first semester of college calculus and builds a strong foundation in both derivative and integral concepts.
The AP Calculus AB exam has two sections. Section I is multiple choice with Part A (no calculator) and Part B (calculator allowed). Section II is free response with Part A (calculator) and Part B (no calculator). Both sections test your ability to apply calculus concepts and communicate mathematical reasoning clearly.
AP Calculus AB has eight units covering limits, differentiation (definition, composite and implicit functions, contextual applications, analytical applications), integration and accumulation of change, differential equations, and applications of integration. The units are designed to build progressively, with differentiation skills forming the foundation for integration topics in later units.
AP Calculus AB covers the first semester of college calculus, while BC covers both semesters. BC includes all AB topics plus additional content like parametric equations, polar coordinates, vector-valued functions, and infinite sequences and series. BC students also receive an AB subscore. If you want broader calculus coverage, choose BC; otherwise AB provides a solid foundation.
Show all your work clearly, even when using a calculator. Label your answers, use proper notation, and justify your reasoning when the problem asks for it. FRQs are scored by specific criteria, so addressing every part of the question matters. Practicing FRQ responses during unit-wise and full mock tests builds the communication skills that earn points on exam day.
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