A track (2) extends between a winding mechanism (8, 12, 40) and resilient tensioning means (4, 22). Rotation of a handle (40) causes a track end housing carrying one end of the track (2) to be moved against the force of an elastic cord (22) of the resilient tensioning means. Further rotation of the handle (40) releases the track end housing (8) and allows the resilience of the cord (22) to return the track towards its initial position. The coefficient of friction of the track (2) is sufficiently high that model horses carried thereon generally move with the track. Thus, during the movement of the track (2), the horses move first towards the winding mechanism (8, 12) and then back towards the resilient tensioning means (4, 22). However, the first movement towards the winding mechanism is much slower than the return, and the return movement is abruptly stopped. When the return movement ceases the horses continue to move, and therefore move relative to the track towards the resilient tensioning means. Thus, the horses are caused to move along the track (2). The movement of individual horses is at differing speeds so that the apparatus enables a horse racing game to be simulated.