Play with matching square shape match sticks

Here's a solution with 3 squares:

Now, you might be thinking, "What about the matchstick heads? Don't those make the squares not perfectly identical?" Here's a solution where the matchstick heads don't matter:

As you can see, you can even avoid the matchstick heads!

Little squares

Edit: ignore the colors. I should have made them all black as this method works with any six matchsticks.

Here's my solution (black = length 1 and red = length 1/2):

Some solutions are robotic...

Why can't we make 4 identical squares of 0.25 x 0.25?

Stack the two small matches ontop of one another like a cross, then use four long sticks for the sides. Looking vertically downward you will see four indentical squares in the middle.

Let the brown arrows be the matchsticks of length 1. Let the green arrows be the matchsticks of length 1/2.

if you do not care about the heads:

you can even make 4 squares:

Doesnt say you have to use all of the matchsticks. Its easy when you take away that restraint and also ends up with the correct conclusion according to the quiz.