MathMania 2004
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Some marbles in a bag are red and the rest are blue. If one red marble is
removed, then one-seventh of the remaining marbles are red. If two blue
marbles are removed instead of one red one, then one-fifth of the
remaining marbles are red. How many marbles were in the bag originally?
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At 3:45, what is the angle (in degrees) between the hour hand and the
minute hand of a clock
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The graph of f(x) is shown below. Sketch the graph of |f(|x|)|.
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If log2(log3(log4 x)) = -1 , find x.
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What are the last two digits of 20042004?
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If a and b are two positive integers and c is their greatest
common divisor, express the least common multiple of a and b as a rational
function of a, b, and c.
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Two students copy a quadratic equation incorrectly. The first
student makes an error copying the constant term and obtains 2 and 5 as
roots. The second student makes an error copying the linear term and
obtains 2 and 6 as the roots. What are the actual roots of the equation?
Here are the answers.