These aren't paper mache but this is how I make my pots out of newspaper. The one thing I do different is after rolling the paper, I pinch the bottom down over the rim of the can (sometimes I use pillbottles for a different size).
In planting it says to cover all the paper, but if you have trouble with cutworms, leaving a bit of paper above the ground will stop them in their tracks. Just watch them so they get enough water as they are settling in.
They aren't as fancy as the paper mache pots, but they are quick and less messy to make. I've been using these for about 5 years now and they work great.