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I still recall a very brief and elegant point my pedagogy professor made by giving all of his students an IQ test.

The test just happened to test on material none of had ever studied, for example how to clean offal. This was a real test which people with the correct experience had scored highly on. Us college students on the other hand, were deemed barely functional by the same test.

The IQ test is not contrived but it does rely on learned knowledge to be able to test. So the IQ test itself is not a very good test of intelligence, especially in the case where the tool (lets say language) it's using to test IQ is lacking in say non-native speakers.

But to get back to the SAT test, my East Asian immigrant high-school friends with decent English - bad SAT scores. Two years later with greatly improved English, same people - great SAT scores. And I am talking about all of the SAT, including the math part.