Sample Questions & Scoring Guidelines
The AP 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. Students cannot take both the Calculus AB and Calculus BC exams during the same year.
You can find additional free-response questions and scoring guidelines on AP Central, along with grade distributions and examples of actual students' responses and commentary that explains why the responses received the scores they did.
Multiple-Choice Questions
For sample multiple-choice questions refer to the Course Description (.pdf/3MB).
Free-Response Questions
2009 Free-Response Questions - Calculus BC (.pdf/494K)
2009 Form B Free-Response Questions - Calculus BC (.pdf/501K)
2008 Free-Response Questions - Calculus BC (.pdf/167K)
2008 Form B Free-Response Questions - Calculus BC (.pdf/149K)
2007 Free-Response Questions - Calculus BC (.pdf/197K)
2007 Form B Free-Response Questions - Calculus BC (.pdf/187K)
2006 Free-Response Questions - Calculus BC (.pdf/100K)
2006 Form B Free-Response Questions - Calculus BC (.pdf/109K)
2005 Free-Response Questions - Calculus BC (.pdf/220K)
2005 Form B Free-Response Questions - Calculus BC (.pdf/227K)
2004 Free-Response Questions - Calculus BC (.pdf/181K)
2004 Form B Free-Response Questions - Calculus BC (.pdf/202K)
2003 Free-Response Questions - Calculus BC (.pdf/235K)
2003 Form B Free-Response Questions - Calculus BC (.pdf/223K)
2002 Free-Response Questions - Calculus BC (.pdf/236K)
2002 Form B Free-Response Questions - Calculus BC (.pdf/223K)
Scoring Guidelines
2009 Scoring Guidelines (.pdf/91K)
2009 Form B Scoring Guidelines (.pdf/109K)
2008 Scoring Guidelines (.pdf/141K)
2008 Form B Scoring Guidelines (.pdf/111K)
2007 Scoring Guidelines (.pdf/116K)
2007 Form B Scoring Guidelines (.pdf/514K)
2006 Scoring Guidelines (.pdf/190K)
2006 Form B Scoring Guidelines (.pdf/182K)
2005 Scoring Guidelines (.pdf/222K)
2005 Form B Scoring Guidelines (.pdf/176K)
2004 Scoring Guidelines (.pdf/509K)
2004 Form B Scoring Guidelines (.pdf/520K)
