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800 Questions in Calculus:
25 Years of
Continental Mathematics League Contests

e-Edition

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 on one campus.  $95.00 per school.

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.