What oven and hob can I run of a 6mm cable

The current carrying capacity of cable is dependant on many things, length of cable points served, and the cables placment inside or outside a wall. The general guide is between 32A for inside a well, to possibly 47A for clipped direct, but should be worked out by a professional if in doubt. Assuming it's in either a stud wall with insulation or plastered into a solid wall in conduit, i wouldn't go above 7kw without checking first.

Hi Snowqueen, The on site guide recommends up to 15 kWatts of cooking facilities on a 6mm cable with 32 amp protection.