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Can you name the squares of 1 to 50?
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Square Numbers (1-50) Quiz
Created Dec 9, 2009 in
Featured May 5, 2010
Game Plays 87,287
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Dec 9th, 2009 at 19:07 GMT
Originally, I was going to do 1 to 100, then I realized how difficult it quickly became, even squaring 15 to 25, so I reduced it to just 1 through 50. I think it's reasonable. I tried 10 minutes, and couldn't get it done in time - I don't know if 12 minutes is a good time or not, but I guess only you guys can tell me if it needs to be brought up or down more. I hope you enjoy(ed) it!
Dec 9th, 2009 at 19:26 GMT
42, 43 and 44 are incorrect. Right now, 43 and 44 are the same as 45 and 46. 42 is what 44 should be.
Dec 9th, 2009 at 19:35 GMT
Fixed it, thank you. I'm so sorry about that.
Dec 9th, 2009 at 19:50 GMT
Cool quiz... with another couple minutes I might have been able to tackle the higher primes. One mistake: you have 35 on there as another 34.
Dec 10th, 2009 at 04:22 GMT
I had it done with 7:23 remaining. I'm not kidding. I have them up to 20 memorized (and certain others), and just used the patterns prevalent in square numbers to derive the rest..
Dec 10th, 2009 at 04:32 GMT
Well, that was my first time. Now I'm up to 8:47 remaining.
Dec 10th, 2009 at 09:40 GMT
I've cut the time by half. I've pushed myself a bit, and I can now see how it can be easier than it seems at first. Thanks for your comments.
Dec 13th, 2009 at 22:58 GMT
4 minutes - it's possible, guys!
Jan 16th, 2010 at 19:21 GMT
Finished with seconds to spare (or square? groan). Good choice re: time.
Mar 14th, 2010 at 05:00 GMT
not nearly enough time ... at least 6-7 minutes ... and I'm great with mental math ...
Mar 30th, 2010 at 03:21 GMT
Finished with over 2 minutes to go, but mental math is what I do
Apr 2nd, 2010 at 20:58 GMT
Nice job pruneatingweasel, and good example of how it can be done. :)
May 4th, 2010 at 21:40 GMT
41 seconds the lot. Vote me down if you must, but these are all well-known to me.
Game published: May 5th, 2010 at 17:18 GMT
May 5th, 2010 at 17:33 GMT
Got 35 of them (1-33, 40, 50) by knowing 1-12 times tables and going +3, +5, +7, etc.
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May 5th, 2010 at 17:35 GMT
really cool how everyone is great at mental math (choosing what buttons to push on a calculator), i refuse to believe that 11% of the general populace is capable of this
May 5th, 2010 at 17:36 GMT
If you don't wanna multiply in your head, just take the previous square, add the number of the square you are looking twice, then subtract one. Example: You want the square of 13. You have the square of 12 as 144. Take 144, add 13, add 13, subtract 1. 144+13+13-1=169
May 5th, 2010 at 17:41 GMT
Finally, those countless hours writing out squared numbers during my uber-geek phase pay off.
May 5th, 2010 at 17:43 GMT
There are plenty of tricks you can use for this, quite a few easier than ^.And I'm not even a math guy.
May 5th, 2010 at 17:43 GMT
May 5th, 2010 at 17:47 GMT
Another way of doing it: The difference between a pair of squares is 2 more than the difference between the previous pair of squares. Example: 12^2=144, 13^2=169. 169-144=25. The difference between 13^2 and 14^2 will then be 25+2=27. So, 14^2=169+27=196. The next one will be 196+29=225, then 225+31=256, etc.
May 5th, 2010 at 17:54 GMT
In a similar vein, you can determine as many squares as you want by simply adding consecutive odd integers. 1+3+5+7...(2n-1)=n^2.
May 5th, 2010 at 17:57 GMT
I got up to 25^2 (most of it on memory), then used the fact that if you only look at the last two digits, the second half is the same as the first half but backwards. (And knowing the other digits is easy.)
May 5th, 2010 at 18:14 GMT
TrueNorth's, jdaster64's and suspence's tricks are all the same, mathematically. My favorite pattern is the one pointed out by ostroffj where the squares mirror every 25 numbers.
May 5th, 2010 at 18:16 GMT
a trick to double digit squares ending in 5 (15, 25, 35...95): take the first digit, multiply it by the number above it, and add 25 on the end. for example, for 15, 1*2=2, and put 25 on the end =25. 55^2=5*6 and 25=3025. 95^2=9*10 and 25=9025. there you go!
May 5th, 2010 at 18:22 GMT
@root45: yes! In a little more detail: the trick from TrueNorth/jdaster64/suspence comes down to (x+1)^2 = x^2 + 2x + 1; so the difference between consecutive squares, 2x+1, goes up by two each time, giving all the odd numbers, and can also be seen as "twice the number whose square you're looking for (x+1) minus 1".
And ostroffj's pattern comes from (50-x)^2 = 2500 - 100x + x^2, so its last two digits just come from x^2, so as you count down from 50 (or any multiple of 50) the last digits of the squares are just the last digits of 1^2, 2^2, 3^2, etc.
May 5th, 2010 at 18:35 GMT
I wish I'd known some of these tricks. I got up to about 20 on memory, then started going, "...plus 41... plus 43... plus 45..." and so on. Finished with 13 seconds left!
May 5th, 2010 at 19:15 GMT
I know 1-20 by heart, the rest though I wasn't fast enough to compute them in my head.
May 5th, 2010 at 19:35 GMT
@rhino3690: Sporcle results rarely accurately reflect what the general populace is capable of.
May 5th, 2010 at 19:37 GMT
The graphic on the main page is confusing -- this isn't a quiz about square roots (as pictured).
May 5th, 2010 at 19:43 GMT
@ostroffj: you just blew my mind. I know a lot of tricks with numbers but had never seen that one. Good stuff.
May 5th, 2010 at 20:12 GMT
Once again, sporcle as a place to learn! Thanks for sharing your patterns, all you clever ones, and I look forward for a chance to use them. Other than sporcle, though, it's hard to imagine where that chance will come!
May 5th, 2010 at 20:37 GMT
a correction to an above typo in my previous comment: 15^2 is 225, not 25. oops!
May 5th, 2010 at 20:45 GMT
Wow - suspensful. Quick mental basic addition skills and an understanding of the short cut makes this achievable without a calculator. Its a simple concept really... 1 + 3 + 5 + 7 + 9 + 11 - you don't even have to understand formulas, just keep adding the next odd number.
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May 5th, 2010 at 21:57 GMT
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May 5th, 2010 at 22:48 GMT
Squaring numbers is just like hot women: If they're under thirteen, just do them in your head.
May 5th, 2010 at 22:55 GMT
I like the pattern from left to right. i.e. 1st row the differences are 120, 320, 520, 720; 2nd row 140, 340, 540, 740; 3rd row 160, 360, 560, 760... etc. numbers eh? mad!
May 5th, 2010 at 23:22 GMT
I knew a lot of the patterns, but I didn't realize that the ones digit always follows the same pattern, and that the pattern is palindromic (1,4,9,6,5,6,9,4,1,0, repeat).
May 6th, 2010 at 00:34 GMT
I feel like you guys are thinking too hard about the pattern. Its much simpler than the ones i've seen up here. You just take the squared number, add it to its square root and to the next numbers square root. Example: 2 squared = 4, 4+2=6, 6+3=9. Its very simple.
May 6th, 2010 at 01:29 GMT
Supernuke... this is the exact same pattern as the main type mentioned above (see root45's post).
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