MathDB

3

Part of 2007 Stanford Mathematics Tournament

Problems(3)

SMT 2007 Team #3

Source:

6/30/2012
A clock currently shows the time 10:1010:10. The obtuse angle between the hands measures xx degrees. What is the next time that the angle between the hands will be xx degrees? Round your answer to the nearest minute.
Marbles

Source:

3/15/2010
Mary puts one red and one blue marble into a box. In another box she places two red marbles. She then forgets which box is which and randomly reaches into one of the boxes and takes out a red marble. What is the probability that the other marble in that box is blue?
probability
SMT 2007 Algebra #3

Source:

6/27/2012
Let a,b,ca, b, c be the roots of x3−7x2−6x+5=0x^3-7x^2-6x+5=0. Compute (a+b)(a+c)(b+c)(a+b)(a+c)(b+c).