A free-standing wall arrangement comprising: (a) a plurality of concrete base blocks; each base block having first and second sides (51, 52) and first and second ends (54, 55) between the sides, and a uniform first depth D 1 extending between the first and second sides; the base block being arranged adjacent to each other at the first and second ends to form a base course; (i) each of the base block includes at least one center through-core having first and second edges (76, 77) parallel to the first and second sides of the base block; (b) a first plurality of concrete wall blocks stacked on the base course and on each other to form a first wall face having at least two courses; each block of the first plurality of wall blocks having (i) a uniform second depth D 2 that is at no greater than half of the first depth D 1; (ii) at least one exposure face arranged to be along the first side of the base block to form the first wall face; (iii) a rear face that is opposite the exposure face; (c) a second plurality of wall blocks stacked on the base course and on each other to form a second wall face that faces the opposite direction from the first wall face and has the same number of courses as the first plurality of wall blocks; each block of the second plurality of wall blocks having (i) the uniform second depth D 2; (ii) at least one exposure face arranged to be along the second side of the base block to form the second wall face; (iii) a rear face that is opposite the exposure face; and wherein the rear faces (100, 102) of the first and second plurality of wall blocks (38, 40) are spaced apart from each other to form a gap therebetween; each block of the first plurality of wall blocks that is stacked against the base block has its rear face aligned with the one of the first edges of the through-core; and each block of the second plurality of wall blocks that is stacked against the base block has its rear face aligned with the one of the second edges of the through-core. (a) a plurality of concrete base blocks; each base block having first and second sides (51, 52) and first and second ends (54, 55) between the sides, and a uniform first depth D 1 extending between the first and second sides; the base block being arranged adjacent to each other at the first and second ends to form a base course; (i) each of the base block includes at least one center through-core having first and second edges (76, 77) parallel to the first and second sides of the base block; (i) each of the base block includes at least one center through-core having first and second edges (76, 77) parallel to the first and second sides of the base block; (b) a first plurality of concrete wall blocks stacked on the base course and on each other to form a first wall face having at least two courses; each block of the first plurality of wall blocks having (i) a uniform second depth D 2 that is at no greater than half of the first depth D 1; (ii) at least one exposure face arranged to be along the first side of the base block to form the first wall face; (iii) a rear face that is opposite the exposure face; (i) a uniform second depth D 2 that is at no greater than half of the first depth D 1; (ii) at least one exposure face arranged to be along the first side of the base block to form the first wall face; (iii) a rear face that is opposite the exposure face; (c) a second plurality of wall blocks stacked on the base course and on each other to form a second wall face that faces the opposite direction from the first wall face and has the same number of courses as the first plurality of wall blocks; each block of the second plurality of wall blocks having (i) the uniform second depth D 2; (ii) at least one exposure face arranged to be along the second side of the base block to form the second wall face; (iii) a rear face that is opposite the exposure face; and (i) the uniform second depth D 2; (ii) at least one exposure face arranged to be along the second side of the base block to form the second wall face; (iii) a rear face that is opposite the exposure face; and the rear faces (100, 102) of the first and second plurality of wall blocks (38, 40) are spaced apart from each other to form a gap therebetween; each block of the first plurality of wall blocks that is stacked against the base block has its rear face aligned with the one of the first edges of the through-core; and each block of the second plurality of wall blocks that is stacked against the base block has its rear face aligned with the one of the second edges of the through-core.