db, you are correct of course about concrete being very different from batch to batch as far as compressive strength is concerned(obviously measure in psi as you stated). As I'm sure you also know, tensile strength and impact resistance is very low in concrete, unless it is reinforced and even then toughness does not increase much. I think this what what Cliff was trying to point out. If you lift a piece of concrete 4 inches thick, of X length and Y width, with a compressive strength rating of say 3000 psi and one with the same measurements but 1000 psi compressive strength, both in the air and then hit each with a sledge hammer, you will not notice a difference in the two as far as toughness is concerned, because the toughness rating is so low that the difference between the two materials is irrelevant.
This is also the reason why reinforced concrete buildings in earthquake country are not used any more and were replaced with steel frame buildings. The toughness, ductility is higher in steel.
Now, having said all that, db, is right that there is a lot of difference in concrete. The concrete used in driveways and homes is much weaker than the concrete used in large high rise buildings, or in multilevel parking garages. Cliff, I think you may find that this type of concrete offers much more resistance than what you are working with and may cause considerable more damage. The reason for this is simple: the mixtures used in high strength requirement areas is much more homogenous and of higher cement density versus home/garage flooring concrete which tends have more porosity due to it's lighter strength design. You can't only look at impact toughness, hardness is also a factor and it will vary, because the stronger mixture will provide enough impact resistance to make the hardness of the cement, a factor.
db, am I going to have to nickname you: clinker. I assume that you know that term if you are in the concrete business.