1.)

#### There are total of 40 squares.

**How?**

Let’s assume the smallest square side is 0.5cm in length.

Now count the squares with different length :-

0.5cm : 8

1cm : 16 +2(in the middle)

2cm : 9

3cm : 4

4cm : 1

————

Total : 40

**How many squares are in this picture ?**

See Answer

**How?**

Lets count…

Squares with side length equal to 1 matchstick: 9

Squares with side length equal to 2 matchsticks: 5(2+1+2)

Square with side length equal to 3 matchsticks: 1 (This is difficult to find, and easy to miss)

Square with side length equal to 4 matchsticks: 1 (Everybody knows)

So total number of squares : 16

This image(courtsey Charles on facebook) explains it all:-

3.)

**How many squares are in this picture ?**

See Answer

**How?**

Lets count !!

Assuming smallest square side is 1 cm, then

Number of squares with side 1 cm: 12 (remember not to count middle 4 squares twice)

Number of squares with side 2 cm: 5 (remember not to count middle squares twice)

So Total number of squares is 17

**How many squares are in this picture ?**

See Answer

**How?**

Lets count !!

Assuming smallest square side is 1 cm, then

Number of squares with side 1 cm: 16

Number of squares with side 2 cm: 9

Number of squares with side 3 cm: 4

Number of squares with side 4 cm: 1

So Total number of squares is 30.

milind says

general formula to calculate square is =m(m+1)(2m+1)/6. ;

according to formula

total squares in 4*4 grid = 30

total squares in 2*2 grid = 5

two grids of 2*2 ie = 5*2 =10

total squares is 30+10= 40 squares

Gopal Thakar says

43

Walter says

I said the same thing as Troy but the match sticks is an analogy. I still don’t agree because I get 58. You are using the thickness of the ink and I’m using the space also as a white line hence, the framing has squares. In reality when making a square you have to cut the boards at 45 degree angles in order to make a square house or frame. If the ink doesn’t overlap then you don’t have a square picture to see. As in the match sticks, that is not a good analogy because of shape differences. A square is a square, play fair.

Rhonda Fox Jones says

This is not in realty…its in the illusion and assumption tht ea match is touchong the others to form a square. U must forget about the bulbous end and white spaces in between .

Come on guy. .this puzzle wasmt made by a genius for geniuses to solve and i rhink thts become quite apparent.

U too r over thinking this simple matchstick on the table game:)

Charles Dearing says

https://www.facebook.com/photo.php?fbid=10151268708404856&set=a.10150299953519856.334222.504669855&type=1&theater This shows me figuring it out…16

puzzlersworld says

@facebook-504669855:disqus Thanks, nice explanation

Marius Scholtz says

Puzzel # 2 is 17

Squares with side length equal to 2 matchsticks: 6

Yeah Whatevs says

Nice try.. I’ll mail you a cheque for $1,000 if you can tell me where the 6 2×2 squares are….

Guest says

2 x 2 squares…

one in each corner / quarter (4)

one dead center (1)

one top right (1)

=6

Mail check to… ðŸ˜‰

jamie williams says

Your a moron you counted the one in the top right corner twice

Marius Scholtz says

Right Jamie, this I realized but thanks for pointing it out. Do you not see my post above?

Marius Scholtz says

Blush, I counted the top right one twice.

16 it is

mickeygodsall says

wheres the extra 1?

Shirley Johnson Shumate Havel says

I don’t think it is 16, because if they are not square, same size on all four sides, that is a rectangle. I answered 9, but could possibly be 10 if they count the whole puzzle as 1 square.

doob says

16 is correct

Guest says

If you’re talking about the second question, it is 16. The one I had trouble finding was on the bottom left. Count from the bottom up 3 match sticks, go 3 to the right, then 3 down. That was #16 for me.

brenan85 says

I don’t think you’re doing it right.. 16 is correct

Troy James says

No.2. your answer is wrong as the only square there is the outline around the pile of matches. Definition of a square! 2 dimensional shape with 4 sides of equal length AND 4 CORNERS of equal angle(90*). Therefore because 1. none of the matches are touching and 2. the small bulbs at the end of each match means that there are no squares made from the matches!

Antonio says

I like the way you count, but I don’t think they will give so much a trick on the bulbs of the matches. ðŸ˜‰

doob says

That was my first answer as well, but the outline does not exist in some versions now they actually say ignore the gaps between matches.

puzzlersworld says

@8055d3dc5a03e31c1618a4da64e27dcc:disqus YES, gap between matchsticks should be ignored

Charles G says

I agree with Troy answer should be zero. Question is flawed you it should have stated to ignore the gaps.

jamie williams says

And should we ignore your improper spelling as well?… yeah that’s what I thought… just like we know what you meant, we know what they mean.

Charles G says

Thanks

motherf*cker says

ignore the gaps madafakars

jamie williams says

Its not rocket science dude…. there just sticks

Phil Fisette says

A square not only has 4 sides, but it also has 4 vertices. The matchsticks are not touching. So there are zero squares (or 1 square if you count the border of the image).

Anon says

By your theory there is actually none not one so don’t try being too smart you might hurt yourself

puzzlersworld says

Nice thinking Anon

Rhonda Fox Jones says

Dude! Where’d u get ur def of a square? Go back to geometry class ot better yet just open a dictionary. There are right angles at all corners in this diagram. No one is using a micromillimeter measuring instrument:0