Worksheets

AP Calculus AB practice tests and worksheets by unit

Exam-style practice for each unit of AP Calculus AB: 20 multiple-choice questions per unit, split into a no-calculator Part A and a calculator Part B the way the exam is, and four free-response questions per unit, each scored out of 9 points with a scoring guide. Which kinds of question appear, and how many of each, comes from how often the official College Board exams have asked them; the questions are our own. Every set comes with an answer key or scoring guide and a printable PDF, free to use in class.

Units

  1. Unit 1Limits and ContinuityMultiple choice: 20 questions · answer key · PDFFree response: 4 FRQs · scoring guide · PDF
  2. Unit 2DerivativesDifferentiation: Definition and Fundamental PropertiesMultiple choice: 20 questions · answer key · PDFFree response: 4 FRQs · scoring guide · PDF
  3. Unit 3Chain Rule, Implicit, InverseDifferentiation: Composite, Implicit, and Inverse FunctionsMultiple choice: 20 questions · answer key · PDFFree response: 4 FRQs · scoring guide · PDF
  4. Unit 4Derivatives in ContextContextual Applications of DifferentiationMultiple choice: 20 questions · answer key · PDFFree response: 4 FRQs · scoring guide · PDF
  5. Unit 5Analyzing FunctionsAnalytical Applications of DifferentiationMultiple choice: 20 questions · answer key · PDFFree response: 4 FRQs · scoring guide · PDF
  6. Unit 6Integrals and AccumulationIntegration and Accumulation of ChangeMultiple choice: 20 questions · answer key · PDFFree response: 4 FRQs · scoring guide · PDF
  7. Unit 7Differential EquationsMultiple choice: 20 questions · answer key · PDFFree response: 4 FRQs · scoring guide · PDF
  8. Unit 8Applications of IntegrationMultiple choice: 20 questions · answer key · PDFFree response: 4 FRQs · scoring guide · PDF

Mixed free response

All unitsMixed free-response setShaped like Section II: two calculator questions, then four without, in the settings the exam uses most6 FRQs · scoring guide · PDF

Formula sheet

All unitsAP Calculus AB formula sheetThe exam gives you no formula sheet: every formula to know by heart, unit by unitFree · printable PDF

AP Calculus AB units and exam weighting

Units 5 and 6 carry the most multiple choice (20.6% and 19.4% of the 315 official questions on the seven 2012–2018 practice exams). Unit 8 carries the most free response, 28.1% of the points on the 2012–2026 exams, and Unit 4 is next at 19.5%.

AP Calculus AB units: the course description’s multiple-choice range, the share of official multiple-choice questions (7 practice exams, 2012–2018, 315 questions) and the share of free-response points (2012–2026)
UnitCED multiple-choice rangeOfficial multiple choice, 2012–2018Free-response points, 2012–2026
Unit 1: Limits and ContinuityUnit 1 review10–15%10.5%2.5%
Unit 2: DerivativesUnit 2 review10–15%14.0%8.0%
Unit 3: Chain Rule, Implicit, InverseUnit 3 review5–10%8.6%3.6%
Unit 4: Derivatives in ContextUnit 4 review10–15%8.9%19.5%
Unit 5: Analyzing FunctionsUnit 5 review15–20%20.6%15.0%
Unit 6: Integrals and AccumulationUnit 6 review15–20%19.4%13.5%
Unit 7: Differential EquationsUnit 7 review5–10%4.4%9.8%
Unit 8: Applications of IntegrationUnit 8 review10–15%13.7%28.1%

The course description’s ranges are for the multiple-choice section only. Counts are of public official College Board exams; no official multiple choice after 2018 is public.

AP Calculus AB review: the most-tested questions by unit

Questions about the AP Calculus AB worksheets

Two practice sets per unit of the course. The multiple-choice sheet has 20 original questions in the exam format, with a no-calculator Part A and a calculator Part B. The free-response set has four multi-part questions scored out of 9 points like the exam, with a scoring guide that says what earns each point. Both come with a PDF, and a mixed free-response set across the units is shaped like Section II of the exam.

We tagged 760 official multiple-choice questions from 17 College Board exams (1969–2018) and the free-response questions from 1969 to 2026 by the kind of question they ask, then weighted each kind by how often and how recently the exam asks it. Each sheet gives the most-tested kinds the most questions, and each free-response set draws its settings (a table of a rate, a particle, the graph of f′, a region, a differential equation) by how often the exam uses them. The questions themselves are written by us; none is copied from an exam.

All 8 units of the course, from Limits and Continuity (Unit 1) to Applications of Integration (Unit 8). Every sheet passed the same answer checks before it was published.

Yes. No account, no sign-up and no watermark. Print as many copies as you need.

AP is a registered trademark of the College Board, which was not involved in making these worksheets and does not endorse them. All questions are original to Sigma Prep.