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!!! Next

Math Challenge Index

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

The Fibonacci Sequencerepeatedly appears in nature.

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1170-1250 A.D.

1,1,2,3,5,8,13,21,…

Fibonacci

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Find out more at Fibonacci Numbers and Nature

Art and MathArtists can use mathematics to show perspective in their paintings.

Check out this link:

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http://www.mathartfun.com

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.

Crop Circles and Geometry

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Click on the picture to

learn more about them.

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 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 pickdoor # 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 PuzzlesDouble Click on the picture to play…

Sudoku

Fractal Jigsaw

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Math Humor

Mastermind

Challenge Puzzles

Lemonade Logic Crossing the River

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Lemonade Logic

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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From www.boxermath.com

Lemonade Logic Solution Max can fill the 3-gallon jug with lemonade, and then pour that

lemonade into the 5-gallon jug.

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.

Next, he must pour the lemonade from the 5-gallon jug back into the 8-gallon jug.

Then he can pour the lemonade from the 3-gallon jug into the 5-gallon jug.

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 8-gallon 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!

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Solution

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.

More Crossing Problems

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More Boat Crossing Problems 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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