The parameters of yehareg veal yaavor and when one may save one's own life when another person's life will be lost

The parameters of prohibitions of eating and benefiting from forbidden foods

The halacha of doing business with non-kosher food species- application to owning a non-kosher hotel or restaurant

The discussion of the prohibition of eating a forbidden item and whether it extends to benefiting as well- application to the rule of not placing a stumbling block before a blind person

The definiton of bi'ur chametz and the debate about how it should be done- what to do when no fire is available or permissible?

Debate on Terumah- can it be actively or only passively made impure?

The parameters of Rabbi Akiva's teaching on the impurity that gets passed on from an earthenware vessel- the principle of "tziruf" and its application to writing/erasing the letters before/after Hashem's name

The source of Rabbi Yosi's opinion in the teaching of his Rebbe- Rabbi Akiva- the unique law and deeper idea of earthenware that it can only become impure through what comes inside of it as opposed to its outer walls

The source and concept of a Biblical mikvah for vessels only requiring 3.5 ounces of water to purify- the debate and halacha of this kind of mikvah inside and outside the Beit Hamikdash

The test of Chagai to the kohanim and how it posed a challenge to the opinion of Rav- what lesson was Chagai was teaching with his test?