Ooh yay, a topic I can speak fairly well-informed on. >> You can make it multiple-choice (objective) difficult, non-algorithmic math problems comprising multip

Ooh yay, a topic I can speak fairly well-informed on. >> You can make it multiple-choice (objective) difficult, non-algorithmic math problems comprising multiple concepts each and then grade the whole test on a curve. You do realize that that's what Olympiads are right? https://en.wikipedia.org/wiki/International_Mathematical_Olympiad https://en.wikipedia.org/wiki/International_Mathematical_Oly... You can be fairly confident the Chinese "teach for the test" to a few handpicked kids who can perform well on those problems (in the same way they select children with an aptitude for gymnastics at an early age). Nearly 20 wins, not one Fields Medal. You can 'teach to the test' at any level up to the 400 levels, at which point you start creating new ways to approach the test, solving problems which weren't solved for a couple hundred years, or founding problems which won't be solved for another couple hundred.