I mixed plaster of Paris by filling half a gallon bucket with cold (not warm) water. Then I poured plaster in to the center slowly until it took no more and formed a lasting "island" in the middle of the water, without collapsing. Like in the photo below. That's the normal mix rate.
Then I mix by hand. Literally. You put your hand in and stir and squeeze out all the lumps. Trust me, a spoon or any other utensil will not work as well, and you will get lumps.
Then sand is added. I just added hand fulls to roughly what felt right. I'd guess about the same amount as I'd added plaster. Again, the hand stirring and lump dispersal method is best.
Then just pour.
Plaster of Paris will take anywhere from 3 to 20 minutes to begin setting up, depending on temperature, quantity mixed, and what it's mixed with. Sand, temperature, and volume of mix all accelerate it. So cool temps, mixing no more than 2 quarts (liters) of water, and stirring and pouring quickly all help.
I've had it go off in summer in 3 minutes, which isn't even enough time to clean out your container. It cures by exothermic reaction -- in other words it generates heat in curing -- a bigger volume generates more heat more quickly.
