HUES 6th Grade Math Choice #5 01-Feb-2000

Hollis Upper Elementary School, Hollis, New Hampshire

1. 1999-2000 6th grade math contest

Coming to HUES 14-Mar-2000 9:45 AM
Bring your own calculators and pencils
Get practice contests each Monday
Get more details from Linda Harris (465-9182, extension 1207)

2. 1991-1992 6th grade math contest

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

3. Inching Along Down the Football Field

One fine fall day, Fred, the football player, decided to do a little math activity with his favorite sport.  So he put his ball down on one of the goal lines of the 100-yard field.  He then moved it forward half the distance -- that is, 50 yards -- toward the other goal line.  Next he moved it half the remaining distance, 25 more yards.

He planned to continue in this manner as long as he could, always advancing the ball half the remaining distance toward the other end.  Of course, it should be obvious that sooner or later his
moves will be quite small, so small in fact that we could say he was truly "inching along".

3A. On which move of the ball did the distance for the first time become less than one inch?
3B. What was the total distance that Fred had mvoed the ball after that move?  Round to the
nearest 100th of an inch.

Source: The Math Forum
http://forum.swarthmore.edu/midpow/solutions/solution.ehtml?puzzle=47

Don Braffitt