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MATH CHALLENGE
Challenge your mind!
 Math is all around you in …
 Nature
 Art
 Games
 The following slides have links and puzzles for you.
 Select the ones that interest you.
If you get stumped…
Keep Trying!!! Don’t Quit!!!
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Math Challenge Index
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Fractals
Fibonacci
Art and Math
Crop Circles and Geometry
Math Games and Puzzles (Online)
Monty Hall and Probability
Math Games and Puzzles (Online)
Challenge Puzzles
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Fractals
 “Simply put, fractals are shapes which show similar
features at different sizes.” For more information, go to
www.fractalus.com
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Fibonacci
1170-1250 A.D.
The Fibonacci Sequence 1,1,2,3,5,8,13,21,…
repeatedly appears in nature.
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Fibonacci
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Find out more at Fibonacci Numbers and Nature
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Art and Math
Artists can use mathematics to show
perspective in their paintings.
Check out this link:
http://www.mathartfun.com
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Crop Circles and Geometry
 Crop Circles appear around the world-usually in the middle of the night.
 Some people think they are made by
aliens.
 Others are certain they are made by
people.
Click on the
picture to
learn more
about them.
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The Monty Hall Show
The 1970’s game show presents an interesting
probability exercise.
Monty would show three doors to a contestant.
One of the doors had a car behind it.
The other two doors each had a pig.
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The Monty Hall Show
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The contestant picks one of the doors.
Monty would open one of the doors with a pig.
Then, he would ask…
“Would you like to switch to door #2?”
Will your odds of winning improve if you switch?
I pick
door # 3
?
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The Monty Hall Show
 When you first picked a door, your chance of winning
was 1 out of 3.
 After Monty showed the door with the pig, your
chance of winning was 1 out of 2.
Try the Simulation!
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Online Math Games and Puzzles
Double Click on the picture to play…
Fractal Jigsaw
Sudoku
Math Humor
Mastermind
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Challenge Puzzles
 Lemonade Logic
 Crossing the River
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Lemonade Logic
From www.boxermath.com
Try using logical reasoning to solve this challenge:
Max is selling lemonade. He has an 8-gallon jug full of
lemonade, an empty 3-gallon jug and an empty 5-gallon jug.
Jean would like to buy exactly four gallons of lemonade. How
can Max measure exactly four gallons of lemonade, using only
these jugs?
8
5
3
Solution
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Lemonade Logic Solution
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Max can fill the 3-gallon jug with lemonade, and then pour that
lemonade into the 5-gallon jug.
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Then he can fill the 3-gallon jug from the 8-gallon jug again, and
pour that lemonade into the 5-gallon jug until it is full.
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Next, he must pour the lemonade from the 5-gallon jug back into
the 8-gallon jug.
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Then he can pour the lemonade from the 3-gallon jug into the 5gallon jug.
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Finally, he fills up the 3-gallon jug from the 8-gallon jug again. He
will then have exactly four gallons of lemonade left in the 8gallon jug.
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The Crossing Problem
 Solve the problem presented in the second panel
of the comic strip above.
 Explain how to get all three animals across the
river safely!
Solution
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Crossing Problem Solution
First, take the fox over and drop him off.
Then row back and get one of the chickens.
Take the chicken over and drop it off and pick up the fox.
Take the fox back, drop him off, and pick up the other
chicken.
 Take the chicken over.
 Row back and pick up the fox.
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More Crossing Problems
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More Boat Crossing Problems
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U2 Crossing Problem
3 Jealous Men and their Wives
The Wolf, Goat and Head of Cabbage
The Family on the Boat Problem
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The End!
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