Stars

1-8. Stars from the puzzles

9. Going by the pattern of bit.ly/pi19_____, teams try bit.ly/pi19star and find that it works.

10. Going to the handout (bit.ly/pi19handout) and scrolling to the second page reveals a star.

11. The ad video has some text at the beginning. Plugging this into a monoalphabetic substitution solver, it says “keep your eyes on the stars and your feet on the ground.”

12. The site has “star” hyperlinked to an image of a star.

13. At the bottom of the presentation, there is a note saying that if you send us a cool math fact and we’ve never heard of it before, we’ll give you a star.

14. The emails’ subject line begins with "STAR"

15. On the website, the first four words spell out STAR (Sign up, Teams, Answers, Resources)

16. First 3 teams to solve puzzle 1 get a star.

17. Star Puzzle 1: Kevin is baking pies in celebration of Pi Day (which is tomorrow!) To do so, he takes six letters from the phrase "HAPPYPIDAY", and then rearranges them in a distinct order each time. For example, possible combinations of this are 'HAPPYP' or 'PAYAPD'. The same letters are considered nondistinct. If Kevin puts a different combination on each pie, how many pies will he bake?

(A: 11130)

18. Star Puzzle 2: In September, 50% of all students in Mr. Chase's class answered "Yes" to the question "Do you love math?" The rest answered "No." In March, 80% answered "Yes" and the rest answered "No." The same students were surveyed. x% of the students gave a different answer between September and March. What is the difference between the maximum and the minimum possible values of x? (The first five teams to solve the problem received a star.)

(A: 40)