AP® Calculus ABPractice ExamFrom the 2016 Administration This exam may not be posted on school or personal websites, nor electronically redistributed for any reason. This Released Exam is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to us e with their students i n a classroom setting only. To maintain the security of this exam, teachers should collect all materials after their administration and keep them in a secure location. Further distribution of these materials outside of the secure College Board site disadvantages teachers who rely on uncirculated questions for classroom testing. Any additional distribution is in violation of the College Board’s copyright policies and may result in the termination of Practice Exam access for your school as well as the removal of access to other online services such as the AP Teacher Community and Online Score Reports. www.mymathscloud.com
ContentsExam InstructionsStudent Answer Sheet for the Multiple-Choice Section Section I: Multiple-Choice QuestionsSection II: Free-Response QuestionsMultiple-Choice Answer KeyFree-Response Scoring GuidelinesScoring Worksheet Question Descriptors and Performance DataNote: This publication shows the page numbers that appeared in the2015−16 AP Exam Instructions book and in the actual exam. This publication was not repaginated to begin with page 1.© 2016 The College Board. College Board, Advanced Placement Program, AP, SAT and the acorn logo are registered trademarks of the College Board. All other products and services may be trademarks of their respective owners. Permission to use copyrighted College Board materials may be requested online at: www.collegeboard.com/inquiry/cbpermit.html.www.mymathscloud.com
36AP® Calculus AB/BC ExamRegularly Scheduled Exam Date: Thursday morning, May 5, 2016Late-Testing Exam Date: Thursday morning, May 19, 2016Section I Total Time, Calculus AB: 1 hr. 45 min. Section II Total Time, Calculus AB: 1 hr. 30 min.Section I Total Time, Calculus BC: 1 hr. 45 min. Section II Total Time, Calculus BC: 1 hr. 30 min.Section ITotal Time: 1 hour 45 minutesNumber of Questions: 45**The number of questions may vary slightly depending on the form of the exam.Percent of Total Score: 50%Writing Instrument: Pencil requiredPart A:Number of Questions: 28Time: 55 minutesNo calculator allowedPart B:Number of Questions: 17Time: 50 minutesGraphing calculator requiredSection IITotal Time: 1 hour 30 minutesNumber of Questions: 6Percent of Total Score: 50%Writing Instrument: Either pencil or pen with black or dark blue inkNote: For Section II, if students finish Part A before the end of the timed 30 minutes for Part A, they cannot begin working on Part B. Students must wait until the beginning of the timed 60 minutes for Part B. However, during the timed portion for Part B, students may work on the problems in Part A without the use of a calculator.Part A:Number of Questions: 2Time: 30 minutesPercent of Section II Score: 33.3%Graphing calculator requiredPart B:Number of Questions: 4Time: 60 minutesPercent of Section II Score:66.6% No calculator allowedWhat Proctors Need to Bring to This ExamExam packetsAnswer sheetsAP Student Packs2015 - 16 AP Coordinator’s ManualThis book — AP Exam InstructionsAP Exam Seating Chart template(s)School Code and Home-School/Self-Study CodesExtra graphing calculatorsPencil sharpenerContainer for students’ electronic devices (if needed)Extra No. 2 pencils with erasersExtra pens with black or dark blue inkExtra paperStaplerWatchSigns for the door to the testing room“Exam in Progress”• • • • • • • • • • • • • • • • – – “Cell phones are prohibited in the testing room” SEATING POLICY FOR AP CALCULUS AB AND CALCULUS BC EXAMSTesting WindowExams Administered at Schools in the United States, Canada, Puerto Rico, and the U.S. Virgin IslandsExams Administered at Schools Outside the United States, Canada, Puerto Rico, and the U.S. Virgin IslandsRegularly Scheduled ExamsStudents must be seated no less than four feet apart.Students must be seated no less than five feet apart.Late-Testing ExamsStudents must be seated no less than five feet apart.© 2016 The College Board. Visit the College Board on the Web: www.collegeboard.org.www.mymathscloud.com
37AP Exam InstructionsCALCULUSGraphing calculators are required to answer some of the questions on the AP Calculus Exams. Before starting the exam administration, make sure each student has a graphing calculator from the approved list on page 47 of the 2015 -1 6 AP Coordinator’s Manual. If a student does not have a graphing calculator from the approved list, you may provide one from your supply. If the student does not want to use the calculator you provide or does not want to use a calculator at all, he or she must hand copy, date, and sign the release statement on page 45 of the AP Coordinator’s Manual.During the administration of Section I, Part B, and Section II, Part A, students may have no more than two graphing calculators on their desks. Calculators may not be shared. Calculator memories do not need to be cleared before or after the exam. Students with Hewlett-Packard 48–50 Series and Casio FX-9860 graphing calculators may use cards designed for use with these calculators. Proctors should make sure infrared ports (Hewlett-Packard) are not facing each other. Since graphing calculators can be used to store data, including text, proctors should monitor that students are using their calculators appropriately. Attempts by students to use the calculator to remove exam questions and/or answers from the room may result in the cancellation of AP Exam scores. The AP Calculus AB Exam and the AP Calculus BC Exam should be administered simultaneously. They may be administered in separate rooms, or in the same room if it is more convenient. SECTION I: Multiple Choice ! Do not begin the exam instructions below until you have completed the appropriate General Instructions for your group.These exams include survey questions. The time allowed for the survey questions is in addition to the actual test-taking time. Make sure you begin the exams at the designated time. Remember, you must complete a seating chart for this exam. See pages 305–306 for a seating chart template and instructions. See the 2015-16 AP Coordinator’s Manual for exam seating requirements (pages 49–52).If you are giving the regularly scheduled exam, say:It is Thursday morning, May 5, and you will be taking either the AP Calculus AB Exam or the AP Calculus BC Exam.If you are giving the alternate exam for late testing, say:It is Thursday morning, May 19, and you will be taking either the AP Calculus AB Exam or the AP Calculus BC Exam.In a moment, you will open the packet that contains your exam materials. By opening this packet, you agree to all of the AP Program’s policies and procedures outlined in the 2015 - 16 Bulletin for AP Students and Parents. Please check to make sure you have the correct exam: Calculus AB or Calculus BC. Raise your hand if you do not have the correct exam. . . .You may now remove the shrinkwrap from your exam packet and take out the Section I booklet, but do not open the booklet or the shrinkwrapped Section II materials. Put the white seals aside. . . .© 2016 The College Board. Visit the College Board on the Web: www.collegeboard.org.www.mymathscloud.com
38CalculusCarefully remove the AP Exam label found near the top left of your exam booklet cover. Now place it on page 1 of your answer sheet on the light blue box near the top right-hand corner that reads “AP Exam Label.”If students accidentally place the exam label in the space for the number label or vice versa, advise them to leave the labels in place. They should not try to remove the label; their exam can still be processed correctly. Read the statements on the front cover of Section I and look up when you have finished. . . .Sign your name and write today’s date. Look up when you have finished. . . .Now print your full legal name where indicated. Are there any questions? . . .Turn to the back cover of your exam booklet and read it completely. Look up when you have finished. . . .Are there any questions? . . .You will now take the multiple-choice portion of the exam. You should have in front of you the multiple-choice booklet and your answer sheet. Open your answer sheet to page 2. You may never discuss these specific multiple-choice questions at any time in any form with anyone, including your teacher and other students. If you disclose these questions through any means, your AP Exam score will be canceled.You must complete the answer sheet using a No. 2 pencil only. Mark all of your responses beginning on page 2 of your answer sheet, one response per question. Completely fill in the circles. If you need to erase, do so carefully and completely. No credit will be given for anything written in the exam booklet. Scratch paper is not allowed, but you may use the margins or any blank space in the exam booklet for scratch work. Section I is divided into two parts. Each part is timed separately, and you may work on each part only during the time allotted for it. Calculators are not allowed in Part A. Please put your calculators under your chair. Are there any questions? . . .You have 55 minutes for Part A. Part A questions are numbered 1 through 28. Mark your responses for these questions on page 2 of your answer sheet. Open your Section I booklet and begin. 12639Note Start Time here . Note Stop Time here . Check that students are marking their answers in pencil on page 2 of their answer sheets and that they are not looking beyond Part A. The line of A’s at the top of each page will assist you in monitoring students’ work. After 45 minutes, say:There are 10 minutes remaining.After 10 minutes, say:Stop working on Part A and turn to page 22 in your Section I booklet. . . .On that page, you should see an area marked “PLACE SEAL HERE.” Making sure all of your other exam materials, including your answer sheet, are out © 2016 The College Board. Visit the College Board on the Web: www.collegeboard.org.www.mymathscloud.com
