Innovative methods for remembering facts and figures for UPSC include using mnemonics to create memorable associations, engaging in active recall through self-quizzing, and employing spaced repetition techniques to reinforce learning over time. Incorporating visual aids like mind maps can also help in organizing and retaining complex information. Additionally, narrating facts to peers or teaching others can enhance memory retention. Consistent practice and periodic review of materials ensure that important facts remain fresh in memory, thus aiding in effective exam preparation.