7pcs Leather Round Hole Puncher, Round Cutting Die Punching Die Set, 20mm, 25mm, 30mm, 35mm, 40mm, 45mm,

Q: Does this include the 55 mm? The tile says up to 50mm and the description says 55mm

The largest diameter in the set is 50 mm

Q: could this be used to cut paper circles?

Yes, it could. I used my set to cut 1/8" silicone rubber gasket sheet material.

Q: Will these be able to cut cork?

They cut through my leather very easily- the thicker the leather the more I have to pound but they work beautifully! As for cork, I don’t know, if it’s that “tight mesh” cork (my name for the really thin cork you see on bulletin boards for kids), then yes! I see no reason why it wouldn’t ! But the chunky cork no, I think they would crumble. I didn’t have your answer but an opinion- hope it helps a small bit,