An abrading implement for abrading surfaces comprises a multi-part, hollow holder and a flexible abrasive stratum secured within the holder. The abrasive stratum is flexible or deformable, and protrudes from the holder. A form internal to the abrading implement bears against the abrasive stratum to cause the abrasive stratum to protrude from the holder. The abrasive stratum may be perforated and coated with an abrasive such as silicon carbide.