December's "Problem of the Month"

College Calculus

Student's Name:  __________________________________________

Date Due:  Wednesday January 3, 2018 (as a New Year's gift)
Remember: You must submit your solution on THIS printed page.


Three Little Teasers

Situation:
This month has three seperate teaser / riddle type questions.
You must give a simple reason / explanation / sketch to support your answer for each teaser.

Glass Flip
In exactly three moves, turn over glasses two at a time and end up with all the glasses upside down. Every glass must be turned over at least once and remember, a move consists of turning two glasses at a time.

Draw a sketch diagramming the result of each move?

Killer
Killer is a ferocious dog who follows your every move and is tied to a tree with a long chain.  Your basketball rolled away and ended up near the tree.  How can you safely get your ball back without harming the dog and without harming yourself!

The only information you need for a successful solution is contained in the problem.

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Tight Fit
Cut a hole in the center of an index card just big enough for a dime to pass through.  How can you push a quarter through the hole without further tearing (or cutting) the index card?

Include the index card and carefully explain how you did it.

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