1. Math Challenged

The game is a math game, we start out with a simple math question then whoever answers it has to come up with a slightly harder question. Ok what is 12x12?

2. Member
Join Date
Jul 2007
Posts
29
144

ok
(17x4)+37

3. Okay, 105.

Now, what is the square root of 0.1?

4. 0.316....

What is the last digit of the number 2007^2007?

5. 3?

6. Originally Posted by JMV
3?
Correctomunto!

You now have the honor of asking the next question, my friend.

7. Thank you.

8. 111,111,111,111,111

presuming I'm correct, what is the first set of "10s" (e.g. 20 through 29, or 140 through 149) for which there are no prime numbers.

9. 200-209

what is the smallest number which can be written as the sum of two (positive) cubes in two different ways?
except 2

10. I'll post the answer in 12 hours, for now I'll need to ask for the number to get a taxicab.
Last edited by The_Radiation_Specialist; 2007-Sep-18 at 02:04 PM. Reason: hints

11. http://en.wikipedia.org/wiki/1729_%28number%29
1729 = 1^3 + 12^3 = 9^3 + 10^3

Post a question anyone...

12. A rectangular floor is covered by square tiles. The tiles along the edge of the floor are red. The rest are white. There is an equal number of red and white tiles.

How many tiles are there?

13. 8x6

14. Nice, you need to post a slightly harder question now, TRS.

15. Using only three "9's" and any mathematical sign (+ - X / sqrt ^ ! etc) make it so that it can equal digits 1 to 10.

eg. for 1 you could write (9/9)^9

note there must be three "9's"

16. 1: (9/9)^9
2: (9+9)/9
3: sqrt (9*9/9)
4: sqrt(9) + 9/9
5: sqrt(9)!-9/9
6: (sqrt (9*9/9))!
7: sqrt(9) + 9/9
8: 9 - (9/9)
9: 9*9/9

edit: Thanks to Eroica for pointing out the missing factorial:
7: sqrt(9)! + 9/9

Coincidentally (re TRS's comment), I gave some thought to being a smart aleck and using 0.999... as the answer to "1", but since it used a "0", it technically would have been wrong.
Last edited by pghnative; 2007-Sep-21 at 12:46 PM. Reason: correct typo

Aha! My math-fu is too weak...

18. 7: sqrt(9) + 9/9
?

more like 9-sqrt(9) + 0.9(recurring)

No Discussions about the validity of 0.999... = 1 ! I'm serious.

19. Originally Posted by pghnative
7: sqrt(9) + 9/9
Just a typo, I think. He forgot the factorial sign:

(sqrt(9))! + 9/9 = 7

I'll post the answer in 12 hours, for now I'll need to ask for the number to get a taxicab.
I've been meaning to ask: how was that a hint for 1729?

Anyway: What's the smallest number that, when squared, produces a four digit number comprised of two 2-digit primes.

e.g. 37^2 = 1369 -- thirteen is prime, but 69 isn't, so 37 isn't the answer.

21. "69", dude!

Find the largest 51-digit number divisible by 11. (probably takes fewer keystrokes to describe the number than to type it out!)

Todd

22. I've been meaning to ask: how was that a hint for 1729?
Taxicab numbers

Find the largest 51-digit number divisible by 11.
999,999,999,999,999,999,999,999,999,999,999,999,99 9,999,999,999,990

23. I didn't count the 9s, but unless you miscounted, it's right.

Todd

24. How much dirt is there in a pentagonal prism-shaped hole with each side of the pentagon 1 meter and the depth 4 meters? Approximate to the nearest meter cube.

25. none

26. 121 is an example of a palindromic perfect square. Of course, it's square root (11) is also a palindrome.

What is the smallest palindromic perfect square whose square root is not a palindrome.

8x6
Very good. But is this the only possible answer? (Hint: No)

28. Established Member
Join Date
Apr 2007
Posts
762
Originally Posted by pghnative
121 is an example of a palindromic perfect square. Of course, it's square root (11) is also a palindrome.

What is the smallest palindromic perfect square whose square root is not a palindrome.
26^2 =676, assuming standard conditions (base 10 and all that).

29. A fisherman catches a number of fish. The 3 heaviest together make up 35% of the total weight of the catch. He immediatelly sells these fish. At this point the 3 lightest fish make up 5/13 of the weight of the remaining fish.

How many fish did the fisherman catch?

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