HUES 6th Grade Math Choice #18 06-Jun-2000

Hollis Upper Elementary School, Hollis, New Hampshire


1.  The Harmonic Series

1.1.  1/2 + 1/4 + 1/8 + 1/16 + 1/32 + ... = 1 (from last week)
1.2.  1/2 + 1/2 + 1/2 + 1/2 + 1/2 + ... = ?
1.3.  1/2 + 1/3 + 1/4 + 1/5 + 1/6 + ... = ? (value determined in 1350 by Oresme)

Source: Calculus By and For Young People (ages 7, yes 7 and up), 1988, by Donald Cohen



2.  Chamique the Archer (solution)

Source: The Math Forum
           http://forum.swarthmore.edu



3. 1994-95 Annual 8th Grade Contest

3.3.  3 x (1/5 + 1/5 + 1/5 + 1/5 + 1/5) = ?

3.13.  Jane has 3 times as many books as Sue and half as many as Bob.
         If Bob has 12 books, how many books does Sue have?

3.29.  How many positive integers are factors of 30?

3.37.  What is the average of the first 1995 positive integers?

Source: The Math League
           http://www.mathleague.com


Have a great summer!

Don Braffitt