We do an assessment also. But, in Missouri, Kindergarten is voluntary. The law says that a child does not have to enter school until 7 years of age. So, if a child knows nothing on the assessment, it means nothing. The tester may suggest the child stay home, but it rarely happens.
One of my friends has a child who entered K 2 years ago. He knew nothing. He couldn't color, couldn't cut, didn't know numbers or letters, etc... When I asked her about it, she said she didn't know he should have known some of that stuff. And as far as giving him scissors and crayons, she didn't want to have to supervise him, so he still can't draw or cut in second grade.