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Seems like Level 2/3 is around IQ 130-135. Is that moderately gifted? Because again, that's somewhat of a relief - like the best of both worlds.
There can be educational challenges at all levels, so I wouldn't necessarily say it's "a relief," nor would I rely on a rough estimate like this to be anything particularly definitive.

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DD taught herself lower and upper case letters by 18 months, had about 100 words at 18 months, was doing 48-60 piece puzzles at 3 and now is on 100 piece puzzles on her own.
If you were to force me to make a "best guess" about your daughter's level of giftedness (LOG) from only this statement, I would say she is at least HG. But that's certainly not a rigorous analysis. smile There are many facets of intelligence, and some of them don't present themselves in obvious manners a lot of the time.

No matter what LOG your child may be at, it's important for you to stay on top of what she needs to thrive and be challenged throughout her young life. Never assume that a school system, by default, knows best or is going to know how to provide what she needs to be challenged. You may be on top of this already, and that's great! It doesn't get any eaiser, though.