IMO, it is possible for 4 and 5 year old children to know math concepts. Just because it developmentally doesn't happen for most kids until they are older---it can happen to some kids that are younger. That is why our children score at the 99%--they are not the average kids that public schools are set up to teach.
I totally agree. My DS4 completely understands division and multiplications concepts and it astounds me. I know he does because of how he verbally works out harder problems out loud. It's clear that he gets it. It's really frustrating when people just don't get it. I have a feeling that Kindergarten is going to be a big challenge for us next year. We are starting testing next week and I am looking forward to having some paperwork to advocate for him. And hopefully they will believe the scores and not explain them away.