The present invention provides floor tiles and modular floors. The floor tiles may include a locking system that allows adjacent tiles to interlock, while also permitting a predetermined amount of lateral sliding relative to one another. The modular tiles may be injection molded, and a minor change in the mold facilitates variation to the amount of lateral slide allowed between interlocked tiles. The floor tiles may also provide three layers of traction, providing more sure footing than previous flooring systems. In addition, the floor tiles may comprise a two-tier suspension system that yields a flex or spring-like effect.