Homework on the Roman calendar

For the following three problems we will be using the Roman Republican calendar (and not Julius Caesar’s calendar).

1. Consider the month October in the Roman republican calendar. What would the Romans call the days October 10, October 14, October 15, October 27?
2. Consider the month Aprilis in the Roman republican calendar. What would the Romans call the days April 10, April 14, April 15, April 27?
3. What we call the Roman Republican dates ante diem XII kal. Sex.? What about ante diem XII kal. Dec.?
4. The battle of Actium took place in 31 B.C. (at which Octavian defeated the last of his enemies, and set the stage for him becoming Emperor Augustus). What is the year of this battle ab urbe condita? What about the year of Augustus’s death (14 A.D.)?