.......

......

Sample Tests

Folder

We invite you to work on sample questions to obtain a sense of the relative difficulty of the two levels. In addition to the questions appearing on the web pages here, all tests and solutions from the 2008-2009 academic year are available below for downloading as PDF files.
......

The Mandelbrot Competition

Questions typically cover geometry, algebra, probability, number theory, and other non-calculus subjects. For a more complete list of topics download the Individual Test Topics document from the Forms page, or visit the Resources page to order more practice tests. Questions are presented in increasing order of difficulty and are valued at one, two, or three points accordingly. Have fun with the tests!

......

The Mandelbrot Team Play

Traditionally one test each year is devoted to Euclidian geometry. Other topics can run the gamut from unexpected properties of Pythagorean triples to a nice result on how to obtain all possible batting averages. The sample Team Play test below investigates properties of a deceptively simple sequence of positive odd integers.

We always love to hear of clever alternate solutions or extensions, as well as original problems of your own. Tell us about them from the Dialogue page.

......

Download Tests and Solutions

All tests and solutions offered in 2008-2009 are currently available for free download. Clicking on the links below will cause the corresponding documents to either appear within your browser window or download to your computer. You may then print them if desired and try your hand at solving the problems. You may order additional preparation materials from the Resources page.

Mandelbrot Competition
Regional Level
Mandelbrot Competition
National Level
The Team Play
Round One TestSoln
Round Two TestSoln
Round Three TestSoln
Round Four TestSoln
Round Five TestSoln
  Round One TestSoln
Round Two TestSoln
Round Three TestSoln
Round Four TestSoln
Round Five TestSoln
  Round One Practice
Round One TestSoln
Round Two Practice
Round Two TestSoln
Round Three Practice
Round Three TestSoln

Resources | Introduction | Home Page