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Maddening Maths (Waikato) Mystery Cache

This cache has been archived.

TheCoddiwompler: I am regretfully archiving this cache since there's been no response from nor action by the cache owner within the time frame requested in the last reviewer note.

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Hidden : 7/31/2013
Difficulty:
4.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:

Another brain-stretching exercise. There is quite a range in difficulty and time needed for each problem.


Once again no easy task for those who do not have a maths background, but certainly doable. There is nothing at the coordinates. You first need to solve a few different math problems to find the cache. Get out your pen and paper, you will need it! I wrote the questions so I can help if you have trouble, but not until after the first find =P 

At the cache location, during the day there are a lot of muggles driving past. Stealth is required. At night this would not be an issue.

Problems:

PROBLEM 1:

Find angle x to 2 significant figures (0dp).

PROBLEM 2:

X + y – z =  6

Z – 10y + 5x = 9

3y – 2z – 2x = -13

What is the value of x?

PROBLEM 3:

You want to do a two-sided student t distribution test. At a confidence level of 95%, what is the third digit of the t-value for a sample with a large number (>1000) of degrees of freedom?

PROBLEM 4:

One line passes through points (5,8) and (10,13). Another passes through (18, -4) and (-6, 2). These lines intersect at (x,y). What is the value of x?

PROBLEM 5:

In a group of 60, 25 own dogs and 32 own cats. If quarter of the group own both a cat and a dog, how many people in the group own neither?

PROBLEM 6/7/8 (In that order):

Draw a square on a blank piece of paper. Imagine the square is 20X20. Draw lines between the positions:

(2,13) and (6,13)

(2,7) and (6,13)

(8,13) and (12,13)

(8,10) and (12,10)

(8,7) and (12,7)

(8,7) and (8,13)

(12,13) and (12,7)

(14,13) and (18,13)

(14,10) and (18,10)

(14,7) and (18,7)

(14,10) and (14,13)

(18,7) and (18,10)

 

Coordinates:

S 37 4A.BCD

E 175 1E.FGH

A =  (Answer to Problem 1)/5

B = (Answer to Problem 2)+1

C = (Answer to Problem 3)+3

D = (Answer to Problem 4)+2

E = (Answer to Problem 5)/2

F = (Answer to Problem 6)-6

G = (Answer to Problem 7)-1

H = (Answer to Problem 8)+3

 

Cache details:

The 1L cache currently contains a logbook and some small swaps. BYOP.

 

Check coordinates:

 

 

First to Solve: KatyandScott

First to Find: HKCB (Congratulations!)

Additional Hints (No hints available.)