I have a 7th grade daughter (13 years old) who has qualified for DYS based on SAT scores, which exceed the requirements by at most 40 points(in composite- and then 30 and 20 in math and reading). So, we probably should add an IQ test instead of portfolio just to be safe. For her age, what would the best test be? What kind of materials are on the test? What scores are given? Also, she is weak in nonverbal stuff (such as dealing with shapes in her head), but is strong in verbal/quantitative stuff.

WISC-IV would be the default. It's decent for what it does.

Regards,
Jon