At the end of these clues you need to perform a difficult matrix
multiplication. Go
to this page to learn
how to do this on a free graphics calculator simulator or to do it by hand.
You can actually do this at home before you go hunt for the box.
Go to Brookfield East High School on Lily Road,
just north of Burleigh Road. Park in the northwest corner of the parking
lot close to the softball diamonds. There is a sign there by the path
saying buses should park here for visitors to the nature center, so it should be
okay to park here as you'll be going through the nature center. Just to be
on the safe side, you might place a note on your dashboard stating you are
walking through the nature center and will be back shortly.
You will walk west on the paved path north of the soccer
field, but before you do, notice the two gate numbers to the left of the path on
the fence surrounding the soccer field.
Record the one on the left as A and the one on the right as B. A = ______
B = ______
Proceed down the paved path, and you will see a baseball
field in front of you where the path curves. Take the average of the three
different numbers on the outfield fence and record it as L = ______
Now follow the curve of the paved path south until you go past the small nature
building. You will then see the entrance to the nature center on your right.
Stand on the west side of the big tree in the middle of the path. Take 5
steps west. Now solve this problem using A
and B:
Find the amount, in whole dollars, in a bank account after 2 years, if you
invest $150 at an interest rate of
(B + 0.5) percent compounded (A divided by 2) times a year. Answer= ______
Take the path on this bearing until you reach
the next intersection. Continue facing on that bearing, and while at the
intersection, look at the pine tree ahead of you. You should see a red
number somewhat up the tree. Let this number be C = ______
Then solve the following for x:
Now take the positive solution, multiply it by C, and then
multiply that by 5.6.
This will be the bearing of the path you
should take next. You will walk past a 4way
intersection and continue through until you reach a circular rest area. Take a
rest and enjoy the view. Count the number of sitting logs (some may be
hidden in the long grass). Record this number
as E = _____ (Note: The last time Dragon counted
there was 5, which means one is missing!) Continue down the opposite side of the
hill that you came from, and take the path north.
At a threeway intersection where you can
see a pond, stop and figure out this problem:
Make a regular polygon with "E" sides. Use 9.7 for the length of
each side. Find the area of the polygon = ______ (Ok, so we threw a
geometry problem in.)
The area of the polygon is your new heading. Take this
path until you come to a bridge. Count the number of board that make up the ramp up to the bridge
and record this
number as K = _____. (Don't count the little sliver of a board.)
Go across the bridge and the path will curve
to the right. When you come to a split, take the path that runs along the
pond, and then come out into the clearing. Look to your left and go to a
ladderless tower. Look on the southeast corner of the cement base.
Find the date there.
Find three arithmetic means between the date and year
numbers:
Date ___ ___
___ Year
Find the common difference of this
arithmetic sequence and record it as D = _____. Now record the number of
corner posts supporting the tower as H = _____, and the month number on the
cement as I = _____.
Now solve this polynomial equation by factoring:
x^{3}  7x^{2} + 15x  9 = 0
Record your three solutions. 1 = _____ 2 = _____ 3 = _____
Add all three solutions and record this number as Q = ______
Now use all these numbers in this equation and solve for x:
This will be your new heading. You will soon meet up with
another trail and be heading north. You will pass a "possible" trail going
left, then a trail going to the right,
and then find one to the left that you should take. You will then come to a T.
At
this point, use L, the baseball number, minus 10 as your bearing. Take this trail until
you come to a boardwalk. As you cross it, count the number of large
rectangular sheets
you walk across, and record this number as J = _____ (Teacher note: some are NOT
rectangles, but you'll know what to count).
From here, continue on a
340degree bearing. When the trail splits, take the path to the right.
Along the way, find the "number in gold" on your right and record it as Z =
_____. You
will pass one intersection, then at a "Y" head right, and then stop at the next
intersection (looks like an "X") and solve this
equation using numbers you have already recorded:
Y varies jointly as J and K and inversely as E.
(K is the constant of variation.)
Find the appropriate combinedvariation equation.
Evaluate it to find Y for the given values of J,
K, E. Y= _____
This will be your new heading. Take this path until you
come to a fence made of driftwood on your left. Now take the path south
for a while until
you come to a triangle roundabout. Stand in the center of the triangle
amongst the logs. Speaking of logs, solve the following logarithm
equation:
log_{Z}(x^{2 } 133x + 4717) = 7 (Note: "Z" is the base of
the log.)
You should get two solutions. One is the bearing you need and the other is
the number of steps to take on that bearing. You have to figure out which
is which!
BEFORE RETRIEVING THE BOX, BE SURE NO ONE IS AROUND TO SEE YOU GET THE BOX! DO NOT BRING ATTENTION TO YOURSELF OR THE HIDING
LOCATION OF THE BOX!
You should end up at a bush with a pile of rocks at its base. Buried under
a couple of layers of rocks is the box.
But wait! The box has a lock on it! You need the combination to open it!
To get the combination, first multiply the
following matrices.
Now use the first three A’s in the answer as your three
numbers for the combination.
Please make sure you rehide the box well,
covering it with a couple layers of rocks and leaves so it is not visible from any direction. Make
it look natural. Also be sure to lock up the box and to mix up the numbers
on the lock. Thanks!
Before you set out read the
waiver of
responsibility and disclaimer.
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