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Math Whiz ... or Math Fizz? Mystery Cache

Hidden : 6/26/2011
Difficulty:
1.5 out of 5
Terrain:
3 out of 5

Size: Size:   micro (micro)

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Geocache Description:

There is absolutely nothing wrong with the coordinates above. It might be a bit hard to get on base, however, and I don't recommend you try that to find this cache. I recommend solving the puzzle instead.


Since I published a few of my math puzzles, I've had some whining from those who claim to be "math-challenged." It's easy to claim that, but how can you prove it? I'm glad you asked: that's what this puzzle is for.

Are you a math whiz? Or are you a math fizz? Just try to solve the puzzle below to find out.

Assume: 39 AB.CDE 084 FG.HIJ

A. You have a square, whose smallest side is length 2. (Hint: it's longest side is length 2 also.) The perimeter is 8. A = area of the square.

B. An interesting right triangle is the 3-4-5 triangle, which has the right angle between the side of length 3 and the side of length 4. The area is 6. What is the length of the shortest side? B = 2 * length of shortest side.

C. An interesting right triangle is the 3-4-5 triangle, which has the right angle between the side of length 3 and the side of length 4. C = area of the 3-4-5 triangle.

D. Let X = 8. Let Y = 3. Z is the integral of X*X + Y*Y, over the interval [0,1]. Assuming Z is computable, what is X? Use this value for D.

E. Assume E*E = 49. What is E?


F. Jack has no potatoes. Jill gives Jack 2 potatoes. Jack shoots 2 potatoes out of his potato gun. How many potatoes does Jack have now? Use this number for F.

G. A hexagon has 6 sides. A pentagon has 5 sides. How many sides does a quadilateral have? Use this for G.

H. In the scenario with Jack and Jill above, if Jack decided to keep the potatoes instead of shoot them with his potato gun, how many potatoes would he have had? Use this number for H.

I. In binary, the number 101 is equivalent to 5 in decimal. If you add 1 to 101 in binary, you get 110. What is the decimal equivalent of 110 binary? Use this number as I.

J. Roger is standing at sea level. (Hint: the altitude = 0.). He throws a ball straight up, with an initial velocity of 30 meters per second. Assume the acceleration due to gravity to be 9.81 meters per second squared. What will be the altitude of the ball when it lands beside Roger? Use this number as J.


You can check your answers for this puzzle on Geochecker.com.


Note: You can't just think it; you gotta ink it!

Additional Hints (Decrypt)

Pnpur: Qvqa'g jnag vg gb trg zhqql.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)