No, not necessarily higher. Some have said higher, others have said lower. I wouldn't really be inclined to disbelieve the score, although I don't know if there is any chance that this is one of those tests that can overscore very young children. Based on my (superficial) knowledge of the test, I don't think so--it doesn't rely on reading ability or math calculation or anything. I just think you may be disappointed by the report's brevity; we were.