@ Nikkie. How much is my prize money?

paris10:
It's so easy. You have to be really good in math to solve this. Those with little eyes problem won't see shiit. You your iq and be focus to the last detail.

Answer is : 40

If you don't get 40, then stop guessing. Look very deep.

It's more than, look again.

19 squares

nikkiehan:
we'v discussed so much on relationships stuff, nw let's see how fast our brain works.jst wish to share dis here

I could count only 33. But without my glasses sha

Olodos, na 17 squares

25...But know, there's no definite answer 4 this question. M sure the 1% don't know

35 squares.

ifeomaekol:
24

you forgot to count the outer squares harbouring the inner squares . I later counted 31

its 26 Jor

its 27

nikkiehan:
we'v discussed so much on relationships stuff, nw let's see how fast our brain works.jst wish to share dis here

40 squares.

32 squares

44

24

jorlons:


Take another look, there 44 squares

a rectangle is not a square.There are 40 squares there! Where is the damn OP?

31

27 is the answer Dudes

There are 26 squares.

Based on diagram, the true visible squares are are just 16. But with inner eyes, the spiritual answer is 40.

25..... That's all

For the big square:
4*4 = 16
3*3 = 9
2*2 = 4
1*1 = 1
Total = 30-------------------(eqn 1)
For the two small boxes
Box A: 2*2 = 4
1*1 = 1
Box B: 2*2 = 4
1*1 = 1
Box A + Box B = 10---------(eqn 2)

Add eqn 1 and eqn 2
30 + 10

Ans = 40

nikkiehan:
we'v discussed so much on relationships stuff, nw let's see how fast our brain works.jst wish to share dis here

i count 28
divide into 4 equal parts =4
divide each 4 into equal parts =4 * 4=16
add d intersection of d first 4 to give 2 seperate boxes of equal 4. multiply by 2=8

4+16+8=28.

This is very simple, the answer is 16 squares. You ar nt suppose to count any square that has a smaller square inside.

Ranchhoddas:
a rectangle is not a square.There are 40 squares there! Where is the damn OP?

Love you confidence..you're damn right, it's 40 squares in all.

nikkiehan:
we'v discussed so much on relationships stuff, nw let's see how fast our brain works.jst wish to share dis here

SIMPLE= 31

sunsplash99:
Could u tell us y 27 is d right answer? To me there are 31 squares there.

I have long modified as I later rechecked it and found out its 31 squares

27

Is there a mathematical way to calculate it?

i know the first set i counted was 4 * 4 = 16 (the small squares)

the second was 16/4 = 4 the four corners of four small boxes

the third set was 2 * 2 = 4, the two 4 box squares at the centre of both the horizontal and vertical median small aquares.

then 1 four box square at the centre of the main square.

1 16 box square. (the main square)

total so far = 26

then the two miniature squares: 1 * 2 = 2

the four squares with those 4 * 2 = 8

total so far: 36

then the four six box squares: 1* 4 = 4

total: 40

*modified*
There is a mathematical explanation. God...I'm a slow poke.

After thinking through, it's clear the number of squares in an n x n box of squares is the sum of the fiRST n terms of the sequence of square numbers.

So this problem was simply (4*4 + 3*3 + 2*2 + 1*1) + 2 (2*2 + 1*1) = 40

Math is beautiful. No wonder it's named the sequence of square numbers

Explanation


25, 5x5 = 55 (meaning: 25 squares arranged in a 5 by 5 square gives a total of 55 squares) <----prediction from deduction below

16, 4x4 = 30 (16 squares arranged in a 4 by 4 square has a gives of 30 squares) (counted) <--- observation used to make prediction below

9, 3x3 = 14 (9 squares arranged in a 3 by 3 square has a gives a total of 14 squares) (counted)

4, 2x2 = 5 (4 squares arranged in a 2 by 2 square gives a total of 5 squares)<----observation used to make prediction above

1, 1x1 = 1 (1 square arranged in a 1x1 square gives a total of 1 square)<----observation used to make prediction

0, 0X0 = 0

A different layout, same thing, but this time bottom up:

0 + 1 = 1 (from 1, 1x1 =1 .....i.e it can be written as 0 + 1,1x1 =1 but remove 1x1) 0 is the output total of a 0 square arranged in a 0x0 square.
^
0 = 0 <--- further observation

1 + 4 = 5 (from 4, 2x2 = 5.....observe from above above. 1 + 4,2x2 = 5) 1 is the output total of a 1 square arranged in a 1x1 square
^
1= 0+1<---further observation

5 + 9 = 14 (from 9,3x3 =14....5 + 9,3x3 = 14) 5 is the output total of 4 squares arranged in a 2x2 square, and so on
^
5= 0+1+4<--further observation

14 + 16 = 30 (4 squares 4*4)
^
14= 0+1+4 + 9 <--further observation

prediction following this pattern:

30 + 25 = 55 (5 squares 5*5)
^
30= 0+1+4+9+16 <--further observation

from the further observation we see a progression (ie. 1-0, 4-1, 9-4, 16-9....: 1 3 5 7 9 11.... (this is the 2nd progression for the sequence of squares, so by now it should click that we're dealing with the sequence of squares)
where 0,1,4,9,16... is the sequence of squares.

In the pattern above, given an nxn square e.g a 5x5 square, the problem is not the calculate the number on the right, which in this case is just 5*5= 25. it's how do we know to add 30 to it to find the total number of squares. This problem is solved from the further observations which show that the number is simply a sum of a certain progression, and gives us the rule below:

The total number of squares in an n x n square is the sum of the first n terms of the sequence of squares, starting from 0 as the first term + the square of n.

the sequence of squares starting from 0 = 0 1 4 9 16 25 36... etc i.e 0*0, 1*1, 2*2, 3*3, 4*4,...

so when n = 1

(sum of first n terms of sequence counting 0 as first term) + n*n = T
(0) + 1*1 = 1

when n = 2

(0*0 + 1*1) + 2*2 = 5

when n = 3

(0*0 + 1*1+ 2*2) + 3*3 = 14

when n = 4

(0+1+4+9) + 16 = 30

when n = 5

(0+1+4+9+16) + 25 = 55

as observed.

on further observation we see that the total, T = the sum of first n terms of the sequence if we count 0 as the 0th term.

so when n = 1

T = 0*0 + 1*1

when n = 2

T = 0*0 + 1*1 + 2*2

and so on.

Going back to the problem. we have a 4x4 square and 2 2x2 squares. The problem is to find the total number of squares.

Therefore the answer = (0*0 + 1*1 + 2*2 + 3*3 + 4*4) + 2(0*0 + 1*1 +2*2) = 40

So the answer is unquestionably 40 squares..

40
I didn't calculate
U just counted.
Nice eyesight too.

40!!!