That is easily the hardest word similarity for me, followed by "skjorte" and "skjørt".

LOL I mix those words up all the time! It's rather embarrassing when I'm wrong on these sentences! I did it here, too, dang it.

Tegn meg som en av dine franske jenter

Because you draw drawings, but paint paintings. It's not quite the same thing.

Either works (outside of the listening exercise, of course).

All feminine nouns may be declined as if they were masculine.