~ April 2016 ~
Chessboard Delight!
Consider a regular 8x8 chessboard
a) How many squares are in total on this chessboard?
b) How many rectangles are in total on this chessboard?
c) What is the largest number of horses that you can place on the
chessboard such that no horse attacks each other?
d) What is the smallest number of queens needed to threaten
(cover) every square on a chessboard?
e) You decide to save money using a chessboard. First month you put
one cent in the first square, second month two cents in the next
square, third month four cents in the next square, and so on,
doubling the number of cents until you cover all 64 squares.
How much money will you save by covering all the squares on the
chessboard?
First, make an estimation, and after that, calculate the exact amount.
Are you surprised?
Submit your answer(s) to the Math Center either in person at CMS 121 during business
hours or by email: themathcenter@gmail.com.
Include your name, ID#, the class you are taking, and the section number. Last day to
submit your answers will be Saturday, April 30th. Participants with valid answers will be
contacted after the evaluation process.