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?  Reply With Quote

2. Member
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Jul 2007
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144

ok
(17x4)+37  Reply With Quote

3. Okay, 105.

Now, what is the square root of 0.1?  Reply With Quote

4. 0.316....

What is the last digit of the number 2007^2007?  Reply With Quote

5. 3?  Reply With Quote

6. Originally Posted by JMV 3?
Correctomunto!

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

7. Thank you.  Reply With Quote

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.  Reply With Quote

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  Reply With Quote

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  Reply With Quote

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

Post a question anyone...  Reply With Quote

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?  Reply With Quote

13. 8x6  Reply With Quote

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

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"   Reply With Quote

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  Reply With Quote

Aha! My math-fu is too weak...  Reply With Quote

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.   Reply With Quote

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  Reply With Quote

20. Originally Posted by The_Radiation_Specialist 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.  Reply With Quote

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  Reply With Quote

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  Reply With Quote

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

Todd  Reply With Quote

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.  Reply With Quote

25. none  Reply With Quote

26.   Reply With Quote

27. 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.  Reply With Quote

28. Originally Posted by The_Radiation_Specialist 8x6
Very good. But is this the only possible answer? (Hint: No)  Reply With Quote

29. Established Member
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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).  Reply With Quote

30. 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?  Reply With Quote

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