I made some problem since I was bored. Hope you can solve it!
There are 5 geometry and 3 algebra questions in the tiger math test. Nathan picks questions to solve randomly and he continues to study until he solves all questions from one of the subjects. What is the probability that Nathan finishes algebra?
Again, hope you can solve it!
I also made another problem; I wanted it to be like the AMC8 contest:
Right after the Tiger Algebra Exam, Alex, Bob, and Caroline start discussing their answers.
Alex: I just realized that our answers are all 2 digit primes!
Bob: Woah! Really? Also, the sum of your two answers is the date of my birthday earlier this month! What about you Caroline?
Caroline: That's a coincidence. The sum of your two answers is the date of my birthday later this month! Woah. This exam is so weird!
Alex: The sum of your two answers is today's date. Cool!
What could be the exam date?
a) Jan. 24
b) Feb. 26
c) Mar. 28
d) Oct. 27
e) Nov. 13
Now, which is it?
Nice problems!! :D
I'll try to attempt these after my class is over