A lightweight cementitious composition containing from 22 to 90 volume percent of a cement composition and from 10 to 78 volume percent of particles having an average particle diameter of from 0.2 mm to 8 mm, a bulk density of from 0.03 g/cc to 0.64 g/cc, an aspect ratio of from 1 to 3, where after the lightweight cementitious composition is set it has a compressive strength of at least 1700 psi as tested according to ASTM C39. The cementitious composition can be used to make concrete masonry units, construction panels, road beds and other articles and can be included as a layer on wall panels and floor panels and can be used in insulated concrete forms. Aspects of the lightweight cementitious composition can be used to make lightweight structural units.