### #1 - count the number of squares

Can you count the number of squares in the figure below

40

In the given figure, you can see that four match sticks are used to form a square. Can you form five squares by using six matches?

Can you count number of squares in a figure below ?

30 squares.

Assuming smallest square side is 1 cm, then

Total number of squares with side 1 cm: 16

Total number of squares with side 2 cm: 9

Total number of squares with side 3 cm: 4

Total number of squares with side 4 cm: 1

Adding 16+9+4+1 = 30

Can you count the number of squares that have been placed in the given picture?

How many squares do you see in matchstick puzzle belwo ?

35

1/2 X 1/2 matchsticks squares: 4

1X1 matchsticks squares : 17

2X2 matchsticks squares : 9

3X3 matchsticks squares : 4

4X4 matchsticks squares : 1

How many squares, of any size, can you find on this chess board which do not contain a Rook?

128.

There are 62 squares of size 1x1.

There are 41 squares of size 2x2.

There are 18 squares of size 3x3.

There are 6 squares of size 4x4.

There is 1 square of size 5x5.

A total of 62 + 41 + 18 + 6 + 1 = 128.

Can you find out the number of squares in the given picture?

There are 12 squares in the picture.

The trick to find it would be drawing diagonals. We know that the sides of a square are parallel and thus, the diagonals should be parallel as well. Let us begin with the outer most rectangle. See the picture. The yellow lines are diagonals drawn for reference.

http://1.bp.blogspot.com/-aGHzJWfxtEY/U2_Yh0HBt1I/AAAAAAAAC6s/VCeYXzdT1rk/s1600/how-many-squares-puzzle-solution-1.png

You can make out four squares in the image.

http://1.bp.blogspot.com/-lTktLIzp260/U2_Yh67sYFI/AAAAAAAAC68/JHsFRRPVhMs/s1600/how-many-squares-puzzle-solution-2.png

Now see the next image. You can make out a total of 8 squares - 3 blue, 3 green and 2 red. There are 4 other rectangles in the figure but they cant be square as their diagonal is not parallel with the yellow lines we drew for reference.

Thus, total squares = 4 + 8 = 12.

Find the number of squares in the given picture.

There are 17 squares in the given picture.

If the smallest square is of 1 unit,

Then there are 6 squares of 1 unit side, 8 squares with side 2 unit, 2 squares with ide 3 unit and 1 square with side 4 unit.