Here is what I did in grad school (note that I was not sufficiently thrilled with how the paper pots performed to use them for more than a few years).
Find a small can or jar the size of the pot you want to make. If I were doing it right now I'd use my husband's Robertson brand marmalade jars; you want something roughly 2" in diameter. Just eyeball it and see if it seems reasonable seedling-starting size.
Then take your newspapers -- just the b/w pages, leave them all stacked together the way they originally came -- and cut strips that are about 4" wide and long enough to go 3-ish times around your can or jar.
Take one of the newspaper strips and wrap it around the jar so that not quite half of it is sticking off the bottom (thus unsupported by jar). Once it is all wrapped, hold it that way with one hand while folding/crushing the unsupported part against the bottom of the jar, sort of as if you were doing a really lousy job of wrapping the end of a present. Flatten it against the jar bottom very firmly, and to finish, use your thumb and forefinger to kind of crimp around the edge so it stays. Then you can remove the jar and you have a pot ready to fill with soil.
My experience was that you wanna really jam-pack them into the seed tray or they dry out too quickly.
Even so, I ultimately decided my plants were growing faster in recycled plastic pots than in the paper things so I gave up on them. But if you want to use paper pots, the above gives you about as good a product as the $20 widget they sell in catalogs
Have fun,
Pat