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John Hall's avatar

As someone who got a perfect score on the GRE Quant section, I generally agree with your criticism of that test.

However, I think you don't necessarily make the best argument about preferring GRE Quant vs SAT Math.

There are large differences in the groups taking the tests. First of all, way more kids take SAT than GRE. About 2mn kids take SAT per year, while about 300k or so take GRE. That means that if about 1% of kids get a perfect score on SAT Math, that's about 20k kids. If 9% of kids who take GRE get a perfect GRE Quant score, that's about 27k. Assuming just that these are the same groups of people (ignoring that they don't take it the same year), then it's really not all that different at identifying the best people per year at math in the full population. But you would also want to take into account that the people taking the GRE are most of the way through their college experience and thinking about grad school. Much different than the population taking the SATs.

The problem with the Putnam test is on the other end of things. It is too hard, especially if you gave it to everyone. If you gave it to everyone, then the median isn't 2, it's 0. So it would only be useful for the top programs trying to get the top people.

Interestingly enough, the GRE purposefully restricts the score at the top end because of strong Asian scorers. See Section 2.2:

https://www.ets.org/s/research/pdf/gre_compendium.pdf

I think the idea is to limit the advantage that comes from grinding test prep. So the trick would be coming up with a Quantitative test that is more correlated with IQ at the high levels and such that test prep wouldn't help you too much.

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PKPearson's avatar

I took the GREs in 1969 at Occidental College, along with many Caltech undergrads, Occidental being the nearest place to take it. At the starting signal, we all opened the exam booklets, and five or ten seconds later a wave of chuckles filled the room -- relief.

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