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Home > AP Courses and Exams > AP Exam Information > The AP Calculus AB Exam

The AP Calculus AB Exam

AP Calculus Updates

Updates to AP Calculus AB and AP Calculus BC will take effect in the 2016-17 school year. Learn more.

Exam Overview

AP CALCULUS AB EXAM: 3 HOURS 15 MINUTES

The AP Calculus AB Exam questions measure students' understanding of the concepts of calculus, their ability to apply these concepts, and their ability to make connections among graphical, numerical, analytical, and verbal representations of mathematics. Adequate preparation for the exam also includes a strong foundation in algebra, geometry, trigonometry, and elementary functions, though the course necessarily focuses on differential and integral calculus. Students may not take both the Calculus AB and Calculus BC Exams within the same year.

The free-response section tests students' ability to solve problems using an extended chain of reasoning. During the second timed portion of the free-response section (Part B), students are permitted to continue work on problems in Part A, but they are not permitted to use a calculator during this time.

Format of Assessment

Section I: Multiple Choice | 45 Questions | 105 minutes | 50% of Exam Score

  • Part A: 28 questions; 55 minutes (no calculator permitted)
  • Part B: 17 questions; 50 minutes (graphing calculator permitted)

Section II: Free Response | 6 Questions | 90 minutes | 50% of Exam Score

  • Part A: 2 problems; 30 minutes (graphing calculator permitted)
  • Part B: 4 problems; 1 hour (no calculator permitted)

Multiple-Choice Questions

For sample multiple-choice questions, refer to the Course Description and the Multiple-Choice Question Index.

Free-Response Questions

Below are free-response questions from past AP Calculus AB Exams.

AP Calculus Free-Response Question Collections (official Calculus AB and BC free-response questions and solutions from before 1998) are available for purchase and download at the College Board Store.

Free-Response Questions 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 1999-2003


2015: Free-Response Questions
Questions Scoring Samples and Commentary Score Distributions
Free-Response Questions




2014: Free-Response Questions
Questions Scoring Samples and Commentary Score Distributions
Free-Response Questions
Scoring Guidelines

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Score Distributions


2013: Free-Response Questions
Questions Scoring Samples and Commentary Score Distributions
Free-Response Questions
Scoring Guidelines

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Score Distributions


2012: Free-Response Questions
Questions Scoring Samples and Commentary Score Distributions
Free-Response Questions

Scoring Guidelines

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Score Distributions


2011: Free-Response Questions
Questions Scoring Samples and Commentary Score Distributions
Free-Response Questions

Scoring Guidelines

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Score Distributions


2011: Form B
Questions Scoring Samples and Commentary Score Distributions
Free-Response Questions

Scoring Guidelines Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6


2010: Free-Response Questions
Questions Scoring Samples and Commentary Score Distributions
Free-Response Questions

Scoring Guidelines

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Score Distributions


2010: Form B

Questions

Scoring

Samples and Commentary

Grade Distributions

Free-Response Questions

Scoring Guidelines Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6


2009: Free-Response Questions
Questions Scoring Samples and Commentary Grade Distributions
Free-Response Questions 

Scoring Guidelines

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Grade Distributions


2009: Form B
Questions Scoring Samples and Commentary Grade Distributions
Free-Response Questions

Scoring Guidelines Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6


2008: Free-Response Questions
Questions Scoring Samples and Commentary Grade Distributions
Free-Response Questions Scoring Guidelines

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Grade Distributions


2008: Form B
Questions Scoring Samples and Commentary Grade Distributions
Free-Response Questions Scoring Guidelines Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6


2007: Free-Response Questions
Questions Scoring Samples and Commentary Grade Distributions
Free-Response Questions Scoring Guidelines

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Grade Distributions


2007: Form B
Questions Scoring Samples and Commentary Grade Distributions
Free-Response Questions Scoring Guidelines

Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6 




2006: Free-Response Questions
Questions Scoring Samples and Commentary Grade Distributions
Free-Response Questions Scoring Guidelines

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Grade Distributions


2006: Form B
Questions Scoring Samples and Commentary Grade Distributions
Free-Response Questions Scoring Guidelines Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6


2005: Free-Response Questions
Questions Scoring Samples Grade Distributions
Free-Response Questions Scoring Guidelines

Scoring Commentary

Student Performance Q&A

Scoring Statistics
Sample Responses Grade Distributions


2005: Form B
Questions Scoring Samples Grade Distributions
Free-Response Questions Scoring Guidelines

Scoring Commentary
Sample Responses


2004: Free-Response Questions
Questions Scoring Samples Grade Distributions
Free-Response Questions Scoring Guidelines

Scoring Commentary

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Grade Distributions


2004: Form B
Questions Scoring Samples Grade Distributions
Free-Response Questions Scoring Guidelines

Scoring Commentary
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
 


2003: Free-Response Questions
Questions Scoring Samples Grade Distributions
Free-Response Questions Scoring Guidelines

Scoring Commentary

Student Performance Q&A

Scoring Statistics
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
Grade Distributions


2003: Form B
Questions Scoring Samples Grade Distributions
Free-Response Questions Scoring Guidelines

Scoring Commentary
Sample Responses Q1
Sample Responses Q2
Sample Responses Q3
Sample Responses Q4
Sample Responses Q5
Sample Responses Q6
 


Important Note: PDF Files
The links to exam questions for this course are in Adobe® PDF format, and you will need to use the Adobe® Acrobat® Reader® to view them. If you don't have Acrobat Reader 4.0 or higher installed on your computer, choose the link for the Adobe Web site below for installation instructions. For help downloading and printing PDF files, choose the link "PDF Troubleshooting" below in "See also."

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