Math Mania 2012
- 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?
- The graph of f (x) is shown. Sketch the graph of f (|x|).
- What is the next most likely term in the sequence 1, 1, 3, 5, 11, 21, 43, 85, …?
- If the polynomial x3 + 3x2 + kx + 6 has x − 2 as a factor, what must k be?
- What is the radius of the circle inscribed in a triangle with sides of length 5, 5,
and 6?
- 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?
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- The car’s speed is 80 mph.
- The graph is
- The next most likely term is 171.
- The coefficient must be k = −13.
- The inradius is 3/2.
- There are 22 values of n that give the desired polygons.
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