Accidentally Removed Asbestos Tiles . Drop ceiling tiles “could” contain asbestos. And, in fact, while we were preparing the surface for the new floor, the scraps of vat were sitting in a. 1960's Floor Tiles That May Contain Asbestos from inspectapedia.com I had to remove about 100sq of tile in the kitchen. Usually tiles only contain a couple of percent of asbestos, and it's not in a form that easily gives up fibres. Asbestos tiles were a low percent asbestos.