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Washington State Math Olympiad
Hints and Solutions
2016 Grade 8 Algebra
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1) If 35 = 243 and xy = 625, what is the value of yx?
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2) A bucket has 10 balls numbered 1,1,2,3,4,4,4,5,6, and 6. If one ball is drawn at random, write an inequality that relates the chance of getting an even number to the chance of getting a multiple of 5? Express in lowest terms.
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3) If a=4 in the equations below, what is the value of (d+c+b)a?
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4) How many integers for x satisfy (x - 11)(x + 3) < 0?
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5) You inherit an unusual stamp collection containing hundreds of 6 and 7-cent stamps. What is the greatest amount of postage that could not be made using a combination of these stamps? (For example, 25 cents postage could be made with three 6-cent stamps and one 7-cent stamp)
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