Let's say you have a single (1) Intel/AMD x86-64 bit 2 GHz 8 core processor.
Does each of the 8 cores all run at the full 2 GHz or, does each core run at some fraction of the full 2 GHz clock (e.g. 250 MHz)?
Under full load (that is, when you have programs running taking up all available processor time on all cores), all cores will run at the rated speed (eg, an 8-core 2 GHz processor runs all 8 cores at 2 GHz).
Now, it is possible for the cores to be running at different speeds, depending on the actual load:
So, in general, the processor will be at the full speed, but it is possible for the speed to fluctuate dynamically.