Can I ask why you are applying for 10th instead of 9th? You are going to be a very young 10th grader and will likely be in a grade with kids who are 15, 16, turning 17. Many BS kids have re-classed in order to have 4 years at the school. I would suggest this might be a good idea for you as well so that you can be with your age mates.
Your SSAT “scores” are low, but those are practice tests. I would say they are typically too low for those schools, but plenty of kids with those scores do get into schools like that - it really depends on the rest of your application. None of us can really give any kind of advice unless we know what else you do.
You say you have been told you are a gifted student but that you are making a lot of silly mistakes. I think BS are really looking for the kids that can handle tough situations. Most AOs I have spoken to would take a kid who is good at getting back up when knocked down vs a gifted student. BS are looking for kids, not just students.