Jump to page content Jump to navigation

College Board

AP Central

Click to find out more about AP Calculus FRQs now available in the College Board Store
AP Exam Reader
AP Annual Conference - Save the Date
Siemens Awards for Advanced Placement

Print Page
Home > AP Courses and Exams > AP Exam Questions > The AP Calculus AB Exam

The AP Calculus AB Exam

Exam Content

In 1956, 386 students took what was then known as the AP Mathematics Exam. By 1969, still under the heading of AP Mathematics, it had become Calculus AB and Calculus BC. The AP Calculus AB Exam covers differential and integral calculus topics that are typically included in introductory calculus courses at the college level. Because graphing calculator use is an integral part of the course, the exam contains questions that require students to use a graphing calculator.

If students take the AB exam, they cannot take the BC exam in the same year because the exams share some questions.

Multiple-Choice Questions

For sample multiple-choice questions, refer to the Course Description.
  AP Calculus Course Description (.pdf/1.7MB) New!
  AP Calculus Multiple-Choice Question Index: 1997, 1998 and 2003 AP Calculus Exams (.xls/144KB) New!

Free-Response Questions

Below are free-response questions from past AP Calculus AB Exams. Included with the questions are scoring guidelines, sample student responses, and commentary on those responses, as well as exam statistics and the Chief Reader's Student Performance Q&A for past administrations.

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.
  AP Calculus Free-Response Question Collections

Important Note About the "Form B" Exams
Because of the worldwide growth of the AP Program and the administration of exams in multiple time zones, another version of the AP Calculus AB Exam, called "Form B," may be administered in order to maintain security.

Free-Response Questions 2009 2008 2007 2006 2005 2004 2003 1999-2002


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



2009: Form B
Questions Scoring Samples and Commentary Grade Distributions
All Questions



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

Scoring Commentary

Student Performance Q&A

Scoring Statistics
Sample Responses Grade Distributions


2005: Form B
Questions Scoring Samples Grade Distributions
All Questions Scoring Guidelines

Scoring Commentary
Sample Responses


2004: Free-Response Questions
Questions Scoring Samples Grade Distributions
All 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
All 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
All 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
All 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."


  ABOUT MY AP CENTRAL
    Course and Email Newsletter Preferences
  AP COURSES AND EXAMS
    Course Home Pages
    Course Descriptions
    The Course Audit
    Sample Syllabi
    Teachers' Resources
    Exam Calendar and Fees
    Exam Questions
    FAQs
  PRE-AP
    Teachers' Corner
    Publications
  AP COMMUNITY
    About Electronic Discussion Groups
    Become an AP Exam Reader

Back to top