Battle of Both Military and Academic Prowess: How to Become the Strongest and Wisest

At Hagakure Academy, there is Bunbu Ryoutou - a competition of Martial Prowess and Scholarship. Kaori Arimajiki is terrible at this competition, dubbed the "Academy's Weakest One." Kaori was bullied by his fellow classmate and considering quitting the school. Kiwako Soushuin, a beautiful yet eccentric girl who is also a member of the Student Council, went to his house and "convinced" Kaori to take a last shot at another Bunbu Ryoutou, should Kaori win "You will be on track to become this Academy's Strongest One," said Kiwako. What plan does Kiwako have in mind? What kind of situation will Kaori get himself into?