The invention is directed to a molded foam sports board made by steps: molding a foam core having a molded contour surface; laminating an extruded adhesive resin layer to a polyolefin foam sheet layer forming a film foam laminate; and thermoforming and heat laminating the film foam laminate to the molded foam core by pressing the molded foam core towards the film side of the film foam laminate and mating against the profile of a thermoforming bottom die surface. The board has a thermoformed polyolefin foam skin having an outer surface and an inner surface, a molded foam core having a molded contour surface, an extruded adhesive resin layer bonding the inner surface of polyolefin foam skin layer to the molded contour surface of the molded foam core. The molded foam core may comprise homopolymer or copolymer of expanded polystyrene foam, expanded polyethylene foam, expanded polypropylene foam and polyurethane foam.