for the AP Calculus Exam
Practice Exam Contributors:
Copyright © 2011 by Skylight Publishing.
ISBN 978-0-9824775-5-7. List price: $19.95. 12+ copies: $16.00 each.
448 pages. Dimensions 8.25" x 10.75" x 1". Soft cover.
800 Questions in Calculus:
25 Years of
Continental Mathematics League Contests
Part# 978-0-9727055-E-E. Copyright © 2005-2011 by Skylight Publishing.
This downloadable e-edition includes MS Word files and a PDF file with questions and a PDF file with complete solutions.
It is licensed for use in one school.
$95.00 per school.
- How to Use This Book
- Chapter 1. Exam Format, Grading, and Tips
- Chapter 2. Limits and Continuity
- Chapter 3. Derivatives
- Chapter 4. Applications of Derivatives
- Chapter 5. Integration
- Chapter 6. Applications of Integrals
- Chapter 7. Differential Equations
- Chapter 8. Parametric, Vector, and Polar Functions
- Chapter 9. Series
- Chapter 10. Annotated Solutions
to Past Free-Response Questions
- Appendix: Calculator Skills
- Practice Exams (AB1, AB2, AB3, BC1, BC2)
- Answers and Solutions
On the Back Cover
Be Prepared for the
AP Calculus Exam is your indispensable guide
to scoring well on the Advanced Placement Calculus AB or BC exam.
This book features an outstanding team of authors
and practice exam contributors: veteran AP Calculus
teachers who have served on the AP Calculus Test Development
Committee and are College Board consultants,
exam grading leaders, and AP award recipients.
The book expands Skylight's
Be Prepared series,
and it is crafted with the same care, attention to detail,
and respect for the student as our Be Prepared
for the AP Computer Science Exam, which has helped
many thousands of students get a good grade on AP exams
in that subject.
A serious introductory chapter describes the exam
format and requirements and offers important tips
for successful exam taking.
Eight review chapters
thoroughly cover all of the AB and BC material.
Embedded in these chapters are 200+ multiple-choice
and free-response questions with solutions that show you
effective strategies and shortcuts.
Five complete practice exams with answers and solutions
(three AB and two BC exams) will give you plenty
of practice material and help you decide whether
to take the AB or BC exam.
This book's companion web site contains annotated
solutions to free-response questions from past AP exams.
Whether you sit in the front row, the back row,
or anywhere in between, Be Prepared
will help you focus on the AP Calculus exam requirements,
review the material, and fill the gaps in your knowledge.
Review, practice, and take the AP Calculus exam
with confidence, knowing that you are well prepared.
About This Book
The Continental Mathematics League has been bringing us fun
competitions in mathematics and computer science since 1980.
The annual calculus contest includes 32 questions
divided into four rounds.
We are delighted to be able to offer you
this collection, which brings together 800 questions from 1981-2005.
These questions offer a great opportunity to test
your knowledge of calculus and practice
for the AP exam.
They stay within the range of the standard AP Calculus curriculum
(mostly AB but also some BC).
Most are of average difficulty, but
a few questions
may be slightly more challenging: each round includes 6
one-point questions and 2 two-pointers.
The questions are presented in several MS Word files and a PDF file.
The collection also includes an index of all questions by subject,
and complete answers and solutions.
2003-2004, Question 16:
Chord AB of the parabola y = x2
moves up from the vertex at 3/4 units/sec, always remaining parallel
to the x-axis.
Triangle ABC is formed by AB and the two tangents
to the parabola at A and at B.
The triangle increases in area as AB moves up.
Find the rate at which the area is increasing in
units2/sec at the instant when AB is 4 units
above the vertex.