oilfield downhole equipment for drilling and completion activities, namely, float equipment with a check valve to prevent the back flow of cement when oil and gas well casing is being cemented into place in a well, toe sleeves,with ports that open as a result of an increase in fluid pressure allowing fracturing fluid to flow into a surrounding oil and gas formation, and buoyancy subs namely tools that create an air pocket that allows the end of the casing string to float in the fluid in the well bore so that the casing can move more easily through horizontal sections of a well until the well casing reaches its final position for cementing in place in the well