When Bearfr & Frogwarts came to Arizona to live in December
of 2006, Bearfr left behind an 8th grade Mathematics teaching
position . Before we left, our Montana geocaching friends presented
us with a cache full of Montana souvenir goodies to place near our
new home in Arizona. Since Bearfr wanted to connect this to her
previous home, she thought OK - an 8th grade math puzzle! All the
steps in the puzzle can be solved by any typical 8th grade math
student, so if you have one in the family, go pick their brain and
show them that the stuff they learn in school really can be used
for fun. Or if you don’t, try the internet; you can find lots of
good math stuff there. We also thought it appropriate to start this
cache out with the Mountain Cachoids coin.
The clues are:
1) What famous Phythagorean triple has values 5, A, and 13?
2) Solve for B: -3B +14 = -151
3) Using trigonometry, if you are given a right triangle with a
30° angle, and a side opposite that angle of 35 and you know the
sin of 30° = .5, find C, the value of the hypotenuse of the
triangle.
4) D = the number of unique ways there are to arrange 4
objects?
5) E = 2 to the eighth power ?
6) What ordered pair ( -2, F) is a solution of the equation 3x
+4F = 286?
7) Using a two digit number GG so that GG + GG/GG =100, what
number is G?
8) What is H in this Fibonacci sequence? 1, 1, 2, 3, 5, H, 13,
21 ........
Let
J = Second digit in D
K= Last digit in E
L= First digit in D
M= First digit in A
N = First digit in B
P = The digit C and F have in common, plus 1
Q = Second digit in F
R = H minus 7
The coordinates of the cache are:
North QM NG.KJL
West RM0 NP.LLQ
You can check your answers for this puzzle on
Geochecker.com.