Math Mania 2017
- You have a total of 50 quarters and dimes worth $8. How many coins of each type do
you have?
- What is the angle between the hands of a clock at 2:45 (in degrees)?
- From a pool of 4 women and 7 men, a committee consisting of 5 people, at least one
of which must be a woman, is to be formed. In how many ways can this be done?
- Find all real x satisfying log4(log3(log2 x )) = −1/2.
- Solve the equation x2 = |2x − 1|.
- If x + 1/x = 3, find x4 + 1/x4.
- Find the first three digits of 20172017.
- If 2x3 − 9x2 +ax +b has x + 2 and x − 1 as factors, what must a and b be?
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- 20 quarters and 30 dimes
- 172.5 degrees
- 441 committees
- x = 2√3
- x = 1 or −1 ± √2
- 47
- The first three digits are 390.
- a = −15 and b = 22
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