Our school district generally evaluates anyone who scores 125 or above on the CogAT, so it sounds like your school does something like that as well.
As for the learning disability, there are others on here way more knowledgeable about test scores etc., but I don't think an IQ test is an appropriate way to assess an LD. Schools will often not recognize an LD unless the child is lagging a grade or two behind. This means that LDs in gifted kids are often missed because their "lag" may only put them at grade level. I would seek further evaluation for an LD, personally, just to be sure.
