1.)

See Answer

#### 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

2.)

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

See Answer

There are total of 16 squares.

**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

There are a total of 17 squares.

**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

4.)

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

See Answer

There are a total of 30 squares.

**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.