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Washington State Math Olympiad
Hints and Solutions
2011 Grade 8 Number Sense
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1) What is k if (kz -6)z = (273z) / k ?
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2) A Googol is 10100. Toni has a Googol of pennies which she wants to share fairly with as many folks as possible. She splits the pile in half. Then splits both piles in half again. Then splits those piles in half. How many times can she do this splitting in half before she reaches a pile that she can't split in half evenly? (Hint: try some smaller piles first like 102)
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3) Seymore has just gotten a new job. On his first day, the boss gave him 2 choices for his salary. First Choice: Start at $30,000 and get a 5% raise at the end of every year to take
effect the following year. Second Choice: Start at $23,000 and get a $5000 raise at the end of each year to take effect the following year. Which choice gives the greatest salary at the
beginning of the 5th year? How much more? Round your answer to the nearest cent.
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