A method of manufacturing an activated pozzolan composition includes: (i) grinding a natural pozzolan, alone or with another mineral component that is not cement clinker, to form a finely ground pozzolan component having a first d90 in a range of about 10 μm to about 45 μm and a first d10 less than about 5 μm; and (ii) blending, without intergrinding, the finely ground pozzolan component with a coarse particulate mineral component comprised of coarse mineral particles not interground with the fine interground particulate component, the coarse particulate component having a second d90 greater than the first d90 and a second d10 greater than the first d10. The natural pozzolan can be one or more of natural pozzolanic deposits, volcanic ash, metakaolin, shale dust, calcined clay, trass, and pumice.