Do magnets also attract super conductors? If a superconductor can be repelled by a magnet (or, well, locked in a certain position by the magnet) can a magnet be attracted to a superconductor. What would happen if you take a peace of metal, attracted to that powerful magnet, and then cool it to the critical temperature. Would it be repelled or attracted to the magnet (on that side of the magnet)?
 A: The superconductors do repell magnets due to their diamagnetic response and might even lock magnets in certain positions (in case of type II superconductors).

The superconductor feels the magnetic field of the magnet and reacts to it by behaving like a diamagnet (by creating a field against it and thus expelling it). By turning the poles of the magnet the superconductor will feel the new field and will try to expell the magnetic flux lines once again. The direction of the flux lines would just be in another direction. So it does not matter which side of the magnet you put near the superconductor. It will always be repelled.
Superconductors are usually diamagnets without ferromagnetic properties.  Again, feromagnetic materials (like Fe, Co, Ni) do not exhibit superconducting properties at normal pressure:

In your case, the piece of metal which is attracted to the magnet has probably ferromagnetic nature. In this case it will normally not be a superconductor and will not change its properties due to the cooling. 
If it actually is a superconductor (has to be a special one or  another), then it will be repelled underneath the critical temperature. But it is not going to be attracted in this case.
