The Nine Schools Competition begins, and Shizuku goes head-to-head with Shiori in the Speed Shooting tournament. Shiori utilizes the Arithmetic Chain magic sequence, which allows her to perform mathematical calculations faster than a supercomputer. Shiori left her own broken family to join Airi’s team, and in her determination to win attempts to drive Shizuku into a corner. Honoka and her friends nervously watch the match, but Miyuki is confident smile due to who Shizuku's engineer is, and just as she has predicted, Tatsuya has a secret tactic up his sleeve to bring about victory. Honoka then has her first match in Battle Board, and bothe she and Touko become aware of one another's skill and prepare to face off against in the final.