## Sample Problems from Chapter 2

**Chapter 2**: Brad's: Share 6 cookies With 7 People
### This starts with such a simple idea, gets into important mathematics
(division, sharing, fractions, infinite series), and most young people can and __should__
do it!

**1).** Share 2 cookies between 3 people. How many does each person get? **Each
person must get the same amount**, and you can't give any to the dog (you must
use all the cookies). Use blank 3"x5" cards for the cookies (not
circles!) and scissors to cut them.
**2).** Same problem: share 2 cookies between 3 people, but this
time use Brad's method. Brad had finished 2nd grade. He shared the pieces
when he could, then cut each leftover piece into 2 equal pieces! Like your
scissors are special, they can only cut into 2 equal pieces. Share the pieces
when you can, then cut. Keep track of how much each person gets, even when they
get zero of a certain size piece!

**3).** Try other problems like share 1 cookie with 5 people, 2 cookies
with 5 people and so forth, use Brad's method and look for
patterns!

**4). **Write a computer program for Brad's method that will give the
bimal, that is, get the numerators only (the denominators will be powers of 2)
of the resultant infinite series for sharing T cookies with B people.

Send your way of solving the
problem and a problem you make up, to

Don Cohen-The Mathman

Ways young people have solved these kinds of problems

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