The type of questions in that quiz, especially all the geography, really should only require about an 8th grade education (knowing east from west, identifying oceans and countries). And, yes, the government ensures that primary and secondary education is free for all children (you can pay for a private school, but that's a choice...the free education is always available).Monique said:With he you mean Penguino, and that the government subsidizes primary education?
Also, comparing tuition paid by the student isn't really a good indicator of how much is paid by the government unless we have some way of knowing the total cost is the same. For people who really can't afford college, there are need-based government grants to help them pay, and there are also a lot of scholarship options.
It's also difficult to really separate research and teaching costs at universities. A substantial portion of "research" dollars goes to the university to be used however they want, which includes getting put into teaching budgets and hiring teaching faculty.