RayV wrote:
jigsaws normally cut on the upstroke so cutting the counter top from
the bottom side is the best way to go.

Or you can buy jigsaw blades that cut on the downstroke, that are
spefically made for laminated benchtops.
I was a bit nervous about using these at first, thinking it'd tend to
push off and be hard to control. But there were no dramas at all, and I
got a nice cut.