Square Numbers (1-50) Quiz

Can you name the squares of 1 to 50?

created by beforever

Enter a number in the box below
Correctly named numbers will show up below
Answers do not have to be guessed in order
Also try: Perfect Squares
Also try: Square, Cube and Triangle Numbers

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1-10
1
2
3
4
5
6
7
8
9
10

11-20
11
12
13
14
15
16
17
18
19
20

21-30
21
22
23
24
25
26
27
28
29
30

31-40
31
32
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35
36
37
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40

41-50
41
42
43
44
45
46
47
48
49
50

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There are 68 comments for this game.
(Warning: comments may contain spoilers)

Square Numbers (1-50) Quiz

by beforever

Created Dec 9, 2009 in Science
Featured May 5, 2010
Game Plays 87,313

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Archived comments: show them

	SharksTerritory:	May 5th, 2010 at 17:33 GMT		9 points
	Got 35 of them (1-33, 40, 50) by knowing 1-12 times tables and going +3, +5, +7, etc.

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	suspence:	May 5th, 2010 at 17:36 GMT		48 points
	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

	jdaster64:	May 5th, 2010 at 17:41 GMT		8 points
	Finally, those countless hours writing out squared numbers during my uber-geek phase pay off.

	TheWabbler:	May 5th, 2010 at 17:43 GMT		12 points
	There are plenty of tricks you can use for this, quite a few easier than ^.And I'm not even a math guy.

	JohnTheRev:	May 5th, 2010 at 17:43 GMT		6 points
	http://lifehacker.com/5506418/square-large-numbers-in-your-head-quickly

	TrueNorth:	May 5th, 2010 at 17:47 GMT		21 points
	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.

	jdaster64:	May 5th, 2010 at 17:54 GMT		8 points
	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.

	ostroffj:	May 5th, 2010 at 17:57 GMT		13 points
	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.)

	root45:	May 5th, 2010 at 18:14 GMT		7 points
	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.

	dje:	May 5th, 2010 at 18:16 GMT		8 points
	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, 12=2, and put 25 on the end =25. 55^2=56 and 25=3025. 95^2=9*10 and 25=9025. there you go!

	Pit_trout:	May 5th, 2010 at 18:22 GMT		3 points
	@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.

	monstro:	May 5th, 2010 at 18:35 GMT		5 points
	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!

	tash1:	May 5th, 2010 at 19:15 GMT		2 points
	I know 1-20 by heart, the rest though I wasn't fast enough to compute them in my head.

	betraisefold:	May 5th, 2010 at 19:35 GMT		13 points
	@rhino3690: Sporcle results rarely accurately reflect what the general populace is capable of.

	antiomi:	May 5th, 2010 at 19:37 GMT		14 points
	The graphic on the main page is confusing -- this isn't a quiz about square roots (as pictured).

	baconstud01:	May 5th, 2010 at 19:43 GMT		4 points
	@ostroffj: you just blew my mind. I know a lot of tricks with numbers but had never seen that one. Good stuff.

	mellybmel:	May 5th, 2010 at 20:12 GMT		4 points
	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!

	dje:	May 5th, 2010 at 20:37 GMT		3 points
	a correction to an above typo in my previous comment: 15^2 is 225, not 25. oops!

	Golden:	May 5th, 2010 at 20:45 GMT		4 points
	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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	Nenenmeister:	May 5th, 2010 at 22:48 GMT		-1 points
	Squaring numbers is just like hot women: If they're under thirteen, just do them in your head.

	Handel:	May 5th, 2010 at 22:55 GMT		3 points
	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!

	defineexistence:	May 5th, 2010 at 23:22 GMT		3 points
	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).

	Supernuke:	May 6th, 2010 at 00:34 GMT		2 points
	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.

	JoeFish:	May 6th, 2010 at 01:29 GMT		2 points
	Supernuke... this is the exact same pattern as the main type mentioned above (see root45's post).