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Perfect Squares
Beat the clock to name the squares of these numbers.
Answer must correspond to highlighted box
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| First submitted | November 11, 2012 |
| Last updated | November 14, 2018 |
| Times taken | 33,855 |
| Rating | 4.25 |
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bebn123
+1
level 50
Dec 24, 2012
Got 'em all with 25 seconds left. Great quiz!
finglehorn
+1
level 58
Dec 24, 2012
21/30 :)
johnnybro245
+1
level 48
Dec 24, 2012
i got 24/30 on the first try. 28/30 on my second and 30/30 on my third =) i think that's good...
KatM
+1
level 20
Dec 26, 2012
We all thankfully know what 1 squared would equal to.
kitshef
+1
level 72
Jun 23, 2014
Yet curiously we don't all know 2 squared.
paula05
+1
level 41
Dec 28, 2012
26
Muhreeya
+1
level 22
Jan 28, 2013
only got 1-13, without using a calculator
Moos1005
+2
level 69
Dec 18, 2018
You can calculate them step by step in your head by adding to the previous sqaure the sum of the number you are squaring and the previous number you squared.
1²=1
2²= 1²+ (2+1)= 4
3²= 2²+ (3+2)= 9
4²= 3²+ (4+3)= 16
and so on.
Sifhraven
+1
level 61
Sep 25, 2019
That seems to take much more time, maybe usefull in higher numbers, like 97
Bob12
+1
level 43
Sep 25, 2013
Got 30 out of 30, with 0:14 left.
quizfinisher
+2
level 20
Jan 2, 2014
1:07 left. This quiz was great, perhaps extending to 50 may deem more conducive, for I have memorized all perfect squares to 33.
mathdrew
+1
level 59
Dec 1, 2014
Got em all with about 15 seconds left and that felt great!!
28^2 and 29^2 were my hardest two ... b/c I didn't have any clue what those two were off the top of my head... so I just went about doing 28^2 = (30-2)^2 = 900 - 2(-2 x 30) + 4 {which is just a quick way of multiplying those two binomials together} ... and this gave ---> 900 - 120 + 4 = 784 !!!!
Similarly, 29^2 = (30 - 1)^2 = 900 - 2(30 x 1) + 1 = 900 - 60 + 1 = 841 !!!
CripplingVelocity
+1
level 61
Jan 15, 2015
1:08 left
duckwantbread
+3
level 42
Jan 22, 2015
Pretty easy so long as you know the trick to just adding the last difference plus 2 every time.
LK2
+1
level 39
Feb 6, 2015
Did it all in my head... 38s remaining
LK2
+1
level 39
May 21, 2015
1 minute left no calculator XD
Wellington
+1
level 67
Jul 5, 2015
Got the first 28. Could have easily gotten the last one (30 squared = 900) but I didn't think to until time was almost up.
Sulps
+1
level 59
Jul 5, 2015
Gotta love the image of squares that is used for this quiz.
sarahzhang2004
+1
level 14
Jul 5, 2015
great quiz!
TheBigCheesy
+1
level 66
Jul 16, 2015
I'm totally gonna nerdify myself now. I used to lay in bed and do math problems in my head as a way to fall asleep (I never counted sheep). Doing the squares was one thing I did. I also calculated how many possible combinations there were on the combo locks at my school and how long it would take to try them all at various different times (1 second each, 10 seconds each, etc). I was a lonely child. :P
Dombie
+1
level 25
Aug 12, 2015
I'm rubbish at maths, I wasted my first minute scratching my head trying to remember square number! managed to get 10/30 though.
amangla
+1
level 58
Sep 8, 2015
Yay, 28 secs left, maths class really payed off!
PeteGreen90
+1
level 36
Nov 27, 2015
30/30 with 50secs left.... Well chuffed
BillCipher
+1
level 11
Apr 10, 2016
I got all the way up to 28^2=784 :)
Tomasmental
+1
level 85
Dec 11, 2016
1:05 left on the clock. And I was slow due to writting on laptop.
WanderingWalrus
+1
level 69
Jul 11, 2017
Did it past 12 with a calculator. Got 4 points. Now ashamed of myself
Malbaby
+1
level 67
Oct 7, 2017
So you should be ......... 2 smacks on the left pandy.
RPHXX
+1
level 60
Jan 28, 2018
33 sec left
eggzandbacon
+1
level 46
Aug 13, 2018
1:43 left on the clock. Stop bragging now.
rama2008
+1
level 61
Oct 3, 2018
There is a good trick with perfect squares in ascending order.
You just take the difference of the last two squares and add two to it. Then add this to the last square. For example:
20^2 = 400. This is 39 greater than 19^2 (361). Add two to 39 to get 41. Then add this to 400 to get 21^2.
Saves getting the calculator out as it becomes simple addition.
emoney9
+1
level 56
Oct 26, 2018
This is what I did. It works because
(x - 1)^2 - x^2 = 2x + 1
kiwirage
+3
level 62
Jul 11, 2019
+3+5+7+9+11+13+15+17.......
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