I use the freezer for storing my oils. I also use a tupperware container but turn it upside down and use the lid as a backing for my palette. I tape squares of palette paper to the lid, mix my colors and, when done for the night, snap what was the bottom (and is now the top) of the container over the paints. This goes into the fridge. I use a Tupperware number 11 which is rectangular and not too deep so I have enough room to mix and work two or three colors at once.
I have found that the time they stay open depends on the color. If they are slow driers in the open air they stay workable longer in the freezer as well. Earth colors only last a few days at best. Also depends on how thick the "puddle" of paint is on the palette as well - if its a thicker pile it will frequently skim over and there will be sufficient paint below that is still good. Since I often miss the right color the first time I mix I normally end up with quite a bit on the paper!
Also, this might be obvious, but if you use additives that speed drying keep them out of whatever paint you want to keep in the freezer.
Regards,
Bob Petrillo