Answers revealed in the comments.
GAME 1
In 1992, Manon Rhéaume became the first woman to play in any major North American pro-sports league when she signed a contract with which NHL team, appearing in an exhibition games against the St. Louis Blues?
GAME 2
In the 19th century, mathematician Augustus De Morgan noted that he would turn x years of age in the year x2, which is also in the 19th century. In what year was he born?
game one answer:
Tampa Bay Lightning
GAME 2 answer:
1806