Algebra

From the Washington State 1996 Math Olympiad:
1). (2 points)
If 10 ~'s = 12 @'s, and
6 &'s = 4 @'s, then
36 &'s, = how many ~'s?

Answer:__________

TEAM NO ____ TEAM MEMBERS:

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2). (3 points) Each side of an equilateral triangle measures 10 feet.
How many smaller triangles, each with sides of 1 foot would be needed
to completely cover the inside of the larger triangle?

Answer:__________


3). (3 points)    If 1 + 2 = 3 and 1 + 2 + 3 = 6, what would the sum of the first 100 consecutive whole numbers be?

Answer:__________


4). (3 points)     If A @ B means ( A + B ) / 2 then what is ( 3 @ 5 ) @ 8 ?

Answer:__________

5). (3 points)     If a number pattern begins: 5, 8, 11, 14, 17, ... what would be the 30th number in that pattern?

Answer:__________