R’ Yose HaGlili says: Parim are within their second year, as is stated (Numbers 8:8): “a second bull shall you take for a chatas-offering.” But the Sages say: Even within their third year. R’ Meir says: Even within their fourth year and even within their fifth year they are permitted, except that we do not bring older animals because of (considerations of) dignity.

Lambs [are] within their [first] year, and rams [are] within their second [year]. And [with] all of them [the year is reckoned] from [birth]day to [birth]day. A [sheep in its] thirteenth month is acceptable neither as a ram nor as a lamb. R’ Tarfon calls it a palgas. Ben Azzai calls it a nokid. R’ Yishmael calls it a parchadigma.  If he offered it, he brings with it the libations of a ram, but it does not count toward his [obliged] offering.  If it is thirteen months and a day, it is a ram.

The communal chatas-offerings, and their olah-offerings, the individual chatas-offering, the asham-offering of a nazir, and the asham-offering of a metzora are acceptable from day thirty and on, and even on day thirty. But if he offered them on the eighth day, they are acceptable.  Vowed-offerings, and donated-offerings, a firstborn, the animal tithe, and the pesach-offering are eligible from day eight and on, and even on the the eighth day.

R’ Eliezer says: A pregnant chatas cow is valid. But the Sages invalidate [it].  R’ Eliezer says: It may not be purchased from idol worshipers. But the Sages validate [it]. And not only this, but [regarding] all sacrificial offerings [both] communal and individual. [All sacrificial offerings] may be brought from [within] the Land and from outside the Land, from the new [crop] and from the old, except for the omer and the Two Loaves which may only come from the new [crop] and from the Land.