Jump to page content Jump to navigation

College Board

AP Central

AP Teacher Communities
AP Exams & College Enrollment
Click here to visit the SpringBoard Microsite
AP Annual Conference 2014
Print Page
Home > AP Courses and Exams > AP Exam Information > The AP Calculus BC Exam

The AP Calculus BC 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 Calculus BC exam covers the same differential and integral calculus topics that are included in the Calculus AB exam, plus additional topics in differential and integral calculus, and polynomial approximations and series. This is material that would be included in a two-semester calculus sequence 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 BC exam, they cannot take the AB exam in the same year because the exams share some questions. Students taking the BC exam will receive a Calculus AB sub-score grade in addition to their Calculus BC grade.

Multiple-Choice Questions

For sample multiple-choice questions, refer to the Course Description.
  AP Calculus Course Description, Effective Fall 2012 (.pdf/2.28MB)
  AP Calculus Multiple-Choice Question Index: 1997, 1998 and 2003 AP Calculus Exams(.xls/144KB)
 

Free-Response Questions

Below are free-response questions from past AP Calculus BC 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

Note about "Form B" Exams
Prior to the May 2012 exam administration, for selected AP subjects, another version of the exam called "Form B" was administered outside of North, Central, and South America.

If you are using assistive technology and need help accessing these PDFs in another format, please contact us at ssd@info.collegeboard.org. Note: versions of these PDFs with enhanced accessibility will be available in the upcoming academic year.

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


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


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

Student Performance Q&A

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


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

Scoring Guidelines Samples Responses Q1
Samples Responses Q2
Samples Responses Q3
Samples Responses Q4
Samples Responses Q5
Samples 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 Response Q1
Sample Response Q2
Sample Response Q3
Sample Response Q4
Sample Response Q5
Sample Response Q6
Grade Distributions



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

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


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

Scoring Commentary

Student Performance Q&A

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


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

Scoring Commentary
Sample Response Q1
Sample Response Q2
Sample Response Q3
Sample Response Q4
Sample Response Q5
Sample Response 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
    Teachers' Resources
    Exam Calendar and Fees
    Exam Information
  PRE-AP
    SpringBoard®
  AP COMMUNITY
    About Electronic Discussion Groups
    Become an AP Exam Reader

Back to top