I think it depends on the level, because some kids will do well on math achievement early on, if they are ahead of the curve learning math facts, addition/subtraction, etc. That doesn't mean they will do well with higher level abstract concepts. However, at a certain point it will be extremely difficult or impossible for a kid to get achievement scores above a certain level if they don't have the cognitive ability. For instance DS scored like an average 9th-10th grader on the computerized math achievement test. I don't care how his CogAT comes back for math, a kid isn't going to be able to score that high (7 grade levels ahead?) unless they have the ability. If he didn't have the ability, the math videos on Khan Academy and Dreambox lessons wouldn't make any sense to him. DS had a higher score for math than DD's spring score (in terms of the raw score)...she is placed in pre-algebra and DS is stuck in second grade math. He has to jump over the "ability" hurdle in order to get the same opportunities. It seems nonsensical. If we allow him to take the CogAT he will probably do fine on the math section assuming I can teach him how to color in little bubbles and he doesn't space out. I have no idea about the verbal section.