There is a ceiling for the "regular" MAP so I would imagine there would be the same or an even lower ceiling on the Primary MAP intended for the K-2 grades. Our district started using MAP this year so I am new to all this. However, I remember reading that the scores are not accurate beyond 10th grade level. Someone else mentioned that in general MAP has a 75 percent accuracy in pinpointing the correct level. However, if you take the assesmement a couple of times over a couple of years, then you should get reliable useful data. I am not sure about the Primary MAP, but the regular MAP suscores go up to at least the 280s based on DS' self-reporting.