Functions and Relationships

From Washington State 1996 Math Olympiad sponsored by WSMC
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?


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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:__________