Hey everyone,

This is the first checkpoint of the question of the day. In this blog, I am asking you for your opinion about the Question of the Day. Is it too hard? Or is it too easy? Or is it just right? Is this a good idea for this wiki? Is the pace too slow or fast? Any suggestions or compliments will be taken.

AFTER YOU COMMENT. here are some insanely hard math questions just for fun. Everyone is allowed to help each other on these, if they want to. Teamwork is key! The deadline is 12/10/2013. 10 points is granted for everyone who coorporates and participates, and 250 points is granted for a single right answer. JACKPOT!!!!

## Checkpoint Questions - 250 points for each correct answer

- -SOLVED- Let x be the answer to number 2, and z be the answer to number 4. Define f(n) as the number of distinct two-digit integers that can be formed from digits of n. For example, f(16) = 4 because the integers 11, 16, 61, 66 can be formed from digits of 16. Let w be such that f(3xz-w) = w. Find the value of w.
- -SOLVED- Let w be the answer to number 1 and z be the answer of number 4. Let x be such that the coefficient of a
^{x}b^{x}in (a+b)^{2x}is 5z^{2}+2w-1. Find x. - Let w be the answer to number 1, x be the answer to number 2, and z be the answer to number 4. Let A, B. C. D be points on a circle, in that order, such that line segment AD is a diameter of the circle. Let E be the intersection of lines AB and DC, let F be the intersection of lines AC and BD, and let G be the intersection of EF and AD. Now, let AE=3x, ED=w
^{2}-w+1, and AD=2z. If FG=y, find y. - Let w be the answer to number 1, and x be the answer to number 2. Let z be the number of integers in the set S={w, w+1,...16x-1, 16x) such that
n

^{2}+n^{3}is a perfect square. Find z.

HINT: YOU CANNOT SOLVE NUMBER 3 UNTIL THE OTHERS ARE SOLVED.

DIFFICULTY: NEXT TO INSANELY IMPOSSIBLE - THE RELAY GONE WRONG.

## Don't forget

Please give me feedback on how the questions of the day have been.

Teamwork is allowed on Checkpoint Questions.

http://prime-numbers.wikia.com/wiki/User_blog:3primetime3/The_Question_of_the_Day_-_12/07/2013 is still in play.

## Scoreboard

1. Blueeighthnote: WHOOPIN 570 points!

2. Julianthewiki: 20 points

3 Wildoneshelper: 10 points

3. Zombiebird4000: 10 points

5. TimBluesWin: -- points

5. 69.235.204.61: -- points

5.180.204.104.243: -- points

AVERAGE SCORE OF THE GROUP: 87.14