A multi-purpose tile comprising, a) a tile member unit having a polygonal shape, a top surface and a bottom surface , and a predetermined overall thickness, b) said tile member unit including a base layer of foam plastic material having an upper foam surface , and a bottom foam surface that is the bottom surface of the tile member unit , c) an upper substrate layer formed of a non-foam plastic or metal material provided over the upper foam surface , said upper substrate layer having an uppermost surface , d) said tile member unit further including a display or design provided over the uppermost surface of the upper substrate layer such that said display or design shows at the top surface of said tile member unit , and a transparent or semi-transparent abrasion resistant wear layer covers the design, e) the base layer of foam is bonded to the upper substrate layer , and wherein the base layer of foam plastic material is a closed cell foam pvc plastic material, and f) the distance between the upper foam surface and the bottom foam surface defines a first partial thickness of said tile member unit , g) the distance between said top surface of said tile member unit and said upper foam surface of said base layer of foam plastic material defines a second partial thickness of said tile member unit , h) the predetermined overall thickness of said tile member unit is substantially the sum of said first partial thickness and said second partial thickness, and i) said first partial thickness is about 15 to 20 times thicker than the second partial thickness, and wherein the tile member unit has a rectangular periphery and a beveled edge extending the full length of each side of the rectangular periphery , said beveled edge diverging upwardly from the bottom foam surface toward the top surface of the tile member unit , and the wear layer has a slightly curved surface declination at each side of the peripheral edge of the tile , the surface declinations extending the full length of each side of the tile at the peripheral edge , and the beveled edge portions intersect the curved surface declinations at an intersection angle that is slightly below the top surface of the tile, and the beveled edge portions have an angle of divergence approximately 5 to 35 degrees as measured from a vertical axis . a) a tile member unit having a polygonal shape, a top surface and a bottom surface , and a predetermined overall thickness, b) said tile member unit including a base layer of foam plastic material having an upper foam surface , and a bottom foam surface that is the bottom surface of the tile member unit , c) an upper substrate layer formed of a non-foam plastic or metal material provided over the upper foam surface , said upper substrate layer having an uppermost surface , d) said tile member unit further including a display or design provided over the uppermost surface of the upper substrate layer such that said display or design shows at the top surface of said tile member unit , and a transparent or semi-transparent abrasion resistant wear layer covers the design, e) the base layer of foam is bonded to the upper substrate layer , and wherein the base layer of foam plastic material is a closed cell foam pvc plastic material, and f) the distance between the upper foam surface and the bottom foam surface defines a first partial thickness of said tile member unit , g) the distance between said top surface of said tile member unit and said upper foam surface of said base layer of foam plastic material defines a second partial thickness of said tile member unit , h) the predetermined overall thickness of said tile member unit is substantially the sum of said first partial thickness and said second partial thickness, and i) said first partial thickness is about 15 to 20 times thicker than the second partial thickness, and <EOS>