AP Precalculus Practice Exam #2 with Solutions

AP Precalculus Practice Exam #2 with Solutions

AP Precalculus Practice Exam #2 provides a comprehensive assessment for students preparing for the AP Precalculus exam. This practice exam includes multiple-choice questions, free-response problems, and detailed solutions to enhance understanding of precalculus concepts. Topics covered include functions, trigonometry, and polynomial equations, making it ideal for high school students aiming for success in their AP exams. The exam format mirrors the actual AP testing experience, helping students familiarize themselves with the structure and timing of the exam.

Key Points

  • Includes multiple-choice and free-response questions aligned with the AP Precalculus curriculum.
  • Covers essential precalculus topics such as functions, trigonometric identities, and polynomial equations.
  • Provides detailed solutions to enhance understanding and improve problem-solving skills.
  • Designed for AP Precalculus students preparing for the May exam, ensuring familiarity with exam format.
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Practice Exam
Exam Content and Format
The AP Precalculus Exam is three hours long. There are two sections:
§ Section I is multiple-choice questions. It is two hours long and is divided into two
Parts: A and B. Part A is one hour and 20 minutes and consists of 28 multiple-
choice questions, accounting for 43.75 percent of the final score. Part B is 40
minutes and consists of 12 multiple-choice questions, accounting for 18.75
percent of the final score.
§ Section II is free-response questions. It is one hour long and is divided into two
Parts: A and B. Part A is 30 minutes and consists of two free-response questions.
Part B is 30 minutes and consists of two free-response questions. Part A and B
each account for 18.75 percent of the final score.
Administering the Practice Exam
This section contains instructions for administering the AP Precalculus Practice Exam.
The AP Precalculus Practice Exam should be administered after completion of Units 1,
2, and 3. You may wish to use these instructions to create an exam environment that
resembles an actual administration, so that your students have some familiarity with
the experience prior to the day of the exam. If so, read the indented, boldface directions
to the students; all other instructions are for administering the exam and need not be
read aloud. Before beginning testing, have all exam materials ready for distribution.
These include test booklets and answer sheets. (Reminder: Final instructions for every
AP Exam are published in the AP Exam Instructions book.)
Calculator Use
Graphing calculators are required to answer some of the questions on the AP
Precalculus Exam. Before starting the exam administration, make sure each student has
a graphing calculator from the approved list on the “AP-Approved Graphing Calculators”
table in Part 2 of the 2023-24 AP Coordinator’s Manual. Note that a subset of the full list
of approved calculators has the expected built-in capabilities for AP Precalculus.
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. Nongraphing scientific
calculators are not permitted as a second calculator. 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.
Practice Exam V.1 
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AP Precalculus Practice Exam 2
Section I: Multiple Choice
Before starting the exam administration, make sure each student has an appropriate
calculator for the exam. See details in the section above. Calculators are not permitted
for Section I: Part A.
During an actual AP Exam administration, students will seal the Part A section after
the time for Part A has ended. You may choose to have students seal the Part A
section OR you may collect the Part A section from students before they begin the
Part B section.
When you are ready to begin Section I, say:
Section I is the multiple-choice portion of the exam. You must complete
the answer sheet using a No. 2 pencil only. Mark all of your responses on
your answer sheet, one response per question. If you need to erase, do so
carefully and completely. Scratch paper is not allowed, but you may use
the margins or any blank space in the exam booklet for scratch work. Your
score on the multiple-choice section will be based solely on the number of
questions answered correctly.
Section I is divided into two parts, A and B. 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 one hour and 20 minutes for Part A. Part A questions are numbered
1 through 28. Mark your responses on your answer sheet. Do not go on
to Part B until instructed to do so. Once final time is called for Part A, stop
working immediately.
Now open your Section I booklet and begin.
Note Start Time
. Note Stop Time .
Check that students are marking their answers in pencil on their answer sheets and
that they are not looking beyond Part A. The line of A’s that run along the top of each
page in Part A will assist you in monitoring students’ work.
After 1 hour and 10 minutes, say:
There are 10 minutes remaining.
After 10 more minutes, say:
Stop working on Part A.
Read the appropriate information from the boxes.
If you are distributing seals to students for the Part A section, say:
Turn to page ___ in your Section I booklet. Making sure all of your other
exam materials, including your answer sheet, are out of the way, take a
seal and press it on the middle of the page and then fold the seal over the
open edge to the front cover. Be sure you don’t seal the Part B section of
the booklet.
If you are collecting the Part A section of the exam booklet, say:
I will now collect your Part A Section I booklet.
AP Precalculus Practice Exam 2
Section I: Multiple Choice V.1 
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After all students have sealed Part A OR you have collected the Part A booklets, say:
Turn to Part B, which starts on page ____. Graphing calculators are required
for Part B, so get your calculators from under your chair and place them
on your desk. Part B questions are numbered 76 through 87. You have
40 minutes for Part B. Once final time is called for Part B, stop working
immediately. You may begin.
Note Start Time ______________. Note Stop Time ______________.
Check that students have sealed their Part A booklets properly OR have turned in their
Part A booklets, and are now working on Part B. The large B’s that run along the top of
the page in an alternating shaded pattern will assist you in monitoring their work. Make
sure that students are using their calculators appropriately. You should also make sure
Hewlett-Packard calculators’ infrared ports are not facing each other and that students
are not sharing calculators.
After 30 minutes, say:
There are 10 minutes remaining.
After 10 more minutes, say:
Stop working. Close your exam booklet and put your answer sheet face-up
on your desk. I will now collect your Section I booklet and multiple-choice
answer sheet.
There is a 10-minute break between Sections I and II.
Please listen carefully to these instructions before we take a 10-minute
break. Please put all of your calculators under your chair. Your calculators
and all items you placed under your chair must stay there. You are not
permitted to open or access them in any way. You are not allowed to
consult teachers, other students, notes, textbooks, or any other resources
during the break. You may not make phone calls, send text messages, use
your calculators, check email, use a social networking site, or access any
electronic or communication device. You may not leave the designated break
area.
You may begin your break now. Testing will resume at __________.
Section II: Free Response
During an actual AP Exam administration, Part B of the Section II Free-Response
Questions booklet will be sealed. You may choose to create exam booklets where
the Part B section has a seal OR you may direct students not to turn to Part B at any
point during their completion of Part A.
After the break, say:
Section II is the free-response portion of the exam. For this section of the
exam, you will use a pen with black or dark blue ink or a No. 2 pencil to write
your responses. Does everyone have a pen or pencil? . . .
You should now have in front of you the Free-Response Questions booklet,
which I will call the Questions booklet for short, and the Free-Response
Answer booklet, which I will call the Answer booklet for short, where you’ll
write your responses.
AP Precalculus Practice Exam 2
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Faqs of AP Precalculus Practice Exam #2 with Solutions
What topics are covered in the AP Precalculus Practice Exam #2?
The AP Precalculus Practice Exam #2 covers a variety of essential topics including functions, trigonometric identities, polynomial equations, and limits. Each section is designed to test students' understanding and application of these concepts in different contexts. The exam format includes both multiple-choice questions and free-response problems, allowing students to practice their skills comprehensively. This practice exam is particularly beneficial for students preparing for the AP exam, as it reflects the types of questions they may encounter.
How is the AP Precalculus Practice Exam structured?
The AP Precalculus Practice Exam is structured into two main sections: multiple-choice and free-response. The multiple-choice section consists of 40 questions, divided into two parts, with the first part allowing no calculator use and the second part requiring a graphing calculator. The free-response section includes several problems that require detailed solutions and explanations. This structure mimics the actual AP exam, providing students with a realistic testing experience.
What is the significance of practicing with the AP Precalculus Practice Exam?
Practicing with the AP Precalculus Practice Exam is crucial for students aiming to excel in their AP exams. It helps them identify areas of strength and weakness in their understanding of precalculus concepts. Additionally, it allows students to become familiar with the exam format and time constraints, reducing anxiety on test day. By working through the problems and reviewing the solutions, students can enhance their problem-solving skills and improve their overall performance.
Are solutions provided for the problems in the AP Precalculus Practice Exam?
Yes, the AP Precalculus Practice Exam includes detailed solutions for all problems. These solutions not only provide the correct answers but also explain the reasoning and steps involved in arriving at those answers. This feature is particularly beneficial for students as it allows them to learn from their mistakes and understand the underlying concepts better. Reviewing the solutions can help reinforce learning and improve problem-solving strategies.
Who is the target audience for the AP Precalculus Practice Exam?
The target audience for the AP Precalculus Practice Exam includes high school students enrolled in AP Precalculus courses. It is designed for those preparing for the AP exam, offering a comprehensive review of the material covered in the course. Additionally, teachers may use this exam as a resource to assess student understanding and readiness for the AP exam. The practice exam is suitable for students aiming to achieve a high score and earn college credit.