MathMania 2012
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A car goes up a hill at a constant speed of 20 mph and then back down the same hill at a
constant speed. The average speed for the round trip is 32 mph. What was the downhill speed?
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The graph of f (x) is shown. Sketch the graph of f (|x|).
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What is the next most likely term in the sequence 1, 1, 3, 5, 11, 21, 43, 85, …?
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If the polynomial x3 + 3x2 + kx + 6 has x − 2
as a factor, what must k be?
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What is the radius of the circle inscribed in a triangle with sides of length 5, 5, and 6?
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For how many values of n does an interior angle of a regular n-gon have a measure that is
an integer number of degrees?
Here are the answers.