1. If X ^ X = 0.25 then solve for the value of X. (X^X means X to the X power)
2. If X ^ X = e ^ (-p/2) then solve for the value of X. (X^X means X to the X power)
3. If you multiply two random numbers, what is the probability that
the first digit will be 1? The two random numbers can be any real numbers
other than zero. As an example, 421 * 325 equals 136,825 such that the first
digit for 136,825 is 1.
4. Let A be the set of all roots of 1. For example, A would include
the square roots of 1, the cube roots of 1, and so forth. Describe a circle
that can contain all the elements of set A.
5. Name the times of the day when a clock's hour hand and minute hand
are at the same spot. For example, 12:00 is one of the times.
6. You see lightning. Exactly 5 seconds later, you hear the thunder.
How many feet (to two decimal places) is the lightning from you? As a
reference for your calculation, you can use 186,287.49 miles per second as
the speed of light and 0.2113068 miles per second as the speed of sound.
7. In a group of chickens and cows, the number of legs equals 14 plus
twice the number of heads. How many cows are in the group?
8. Assuming a constant rate of interest per year, how many years does
it take money to double?
9. Two trains, 200 miles apart, are headed toward each other. One
train is going 50 MPH and the other train is going 100 MPH. How long will
it take a math hater to groan after hearing the problem? Or, if you prefer,
how long until they crash in to each other?
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