Math Mania 2024
- You have a total of 45 quarters and dimes worth $9. How many coins of each type do
you have?
- What is the area of a triangle with sides of length 10, 17 and 21?
- Jane can paddle a canoe 4 mph in still water. If she paddles upstream 15 miles, then
downstream 15 miles, it takes her 8 hours for the round trip. What is the speed of
the current? You may assume the speed is constant.
- The measure of an interior angle of a regular polygon is 176 degrees. How many sides
does the polygon have?
- What are the last two digits of 20242024?
- Find all real solutions to the following: ln(ln x · ln x) = 1.
- If four standard six-sided dice are thrown, what is the probability that the face
values sum to 6? Please give your answer as a reduced fraction.
- How many five-digit numbers in base 10 contain at least one 3?
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- There are 30 quarters and 15 dimes.
- The triangle has an area of 84 square units.
- The speed of the current is 1 mph.
- The polygon has 90 sides.
- The last two digits are 76.
- The solutions are x = e√e and x = e−√e
- The probability is 5/648.
- There are 9·104 − 8·94 = 37512 such numbers.
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