My advice would be to learn how they are derived, for the longer term.
But for starters you could commit to memory one value and expand from there. Say 10mm, if metricated, and perhaps half inch if using antiquated units. Pick a material such as mild steel, or your most oft used material.
All you then need to remember is to double the speed if you halve the diameter or halve the speed if you double the diameter for the same material. Other sizes will also be in the similar ratios.
Then consider the material either slower or faster Aluminium twice, or more than mild steel, per eg, or perhaps only half for tougher steels.
Then factor in the tool material – like double up (or more) the speed for carbide over HSS cutters or tool type (halve for reamer over the drill).
Gradually you will build confidence in choosing a cutting speed. Dry cutting should be slower than lubed or cooled – and CNC will be another completely different ball game! Remember that slower is generally better for tool life. Just don't allow it to chatter when lathing or milling and don't stop in one position when cutting anything (or the tool will rub, get hot, go blunt, etc).
Hope that helps.
Edited By not done it yet on 03/02/2017 13:50:26