The problem that I'm really trying to solve is wrt math. In every other area, I think I've got her more or less figured out. She's interested, she's at least a bit ahead (and very, very ahead in some areas), and I'm not concerned. We unschool, and plan to continue unless/until there's an issue with that, and so far that's been great (again, in every area other than math).
Math is the thing that really gets me because she has had very early milestones for counting, counting backwards, skip counting, adding, and subtracting, but she honestly doesn't seem far ahead now of where she was at 3. I feel like I must be either under- or overestimating her math abilities, and providing her with the wrong sorts of materials, and she must be getting frustrated about it. I say that because she has regular interest that just sort of peters out without much progress. If she just seemed uninterested, I wouldn't worry about it.
While I could do (and have done) curriculum-based math assessment tests to try to figure out where she's at, I get frustrated because she gives wrong answers to very easy questions, and she gets frustrated because she hasn't been exposed to a lot of the vocabulary and also because I get frustrated. I have some hope, however slight, that a good tester who isn't her mother might have better luck with her. Maybe that means that achievement might be more valuable than IQ testing, but then again maybe both would give me the most value. I'm not sure if that would change the price.
I've had some of these same issues with my son. I finally decided that to get a good feel of where he is in his understanding of math concepts, I needed to just watch him as he did math. If he understood the concept but made a silly mistake, I didn't worry about it. We just went on in concepts. The accuracy in calculations came with time, though it does still lag his conceptual development to some degree.
Can you sit down with her and just play around with math? Talk about fractions of things. Get her to help you bake and make 3/4 of a recipe, and see what she understands of it. If she can easily figure out the amounts, then you've learned something important about her understanding of numbers and fractions. Play with powers of ten - 5+8 = 13, so 50+80 = ? (or phrase it as five tens plus 8 tens = how many tens?). Ditto with multiplication - play around with sets of numbers (three sets of three = ?) and then change it to incorporate different powers of 10 (three groups with three tens in each = how many tens?). If you name a number, can she give you the number you'd add to it to get to 10? To 100? What about negative numbers? A lot of kids understand those very intuitively, and they can be exciting to play around with for a while.
At her age, she definitely doesn't need to be doing lots of any one type of problem. Just play around with different topics for a few days, and see what you find out. Keep it low key, fun, and short. You can look up online placement tests for ideas of different concepts to include in your "play."
I don't know if that will help you, but it might help you figure out a bit more where she is without spending any money.
