The battle trial starts with one of the most difficult challenges known to mankind, not looking at a cute cat girl in an oversized hoodie, second only to not looking at multiple cat girls in oversized hoodies. With the challenge being practically impossible, even for the number one hero, All Might decides to start the lesson as quickly as possible, so that he can hopefully distract the class long enough for them to maybe get used to Luna's divine appearance.
*cough* *cough*
"Ehem all right with all of you in your costumes I can say that most of you are beginning to look like fine heroes, isn't that great! Now shall we start the BATTLE TRIALS!?!
After everyone snaps out of there worship towards the oversized hoodie cat girl, they regain themselves and begin to follow All might into ground beta.
"Sir! This is the battle centre from the entrance exam, so will we be conducting urban battles again?"
'Nerd boy' says with his hand raised as he walks at the front of the group with a straight back and posh walk.
"Now we are going o move ahead by two steps..."
All might replies as he begins to explain everything that they would need to know about the battle trial and how it will help them in the future and lastly finishing by pulling out a yellow box.
"Teams and opponents will be determined by drawing lots."
As everyone was picking out their lots it eventually got to Luna's turn and when she picked it up she sighed in relief because it wasn't anyone she had a bad impression of over the past day and was thankfully placed on team H with 'froggy' and they were heroes, so their job was to get to the bomb on whatever floor it was on and touch it and they were against team C which was composed of 'meal' and Momo, which made Luna a little sad but also a little excited because now she can show off in front of her lover.
While the first fight was going on Luna was once again having a nap in her cat form, which was unfortunate for everyone else as it wasn't as cute as her in her hero costume but seeing her purring on Momo's lap was still a magnificent sight and they soon completely forgot about the battle ensuing between an angry dog and vegetable headed boy, even All Might was having trouble watching his successor, Momo though was smiling internally, after all she could see Luna whenever she wanted and was proud that everyone was paying attention to her beloved, but she still kept and eye on the fight, well at the start she did because she was interested, but seeing them flailing around without coordination in their attacks made her almost laugh out loud at how pathetic their attacks were, especially vegetable boy, so she decided to just put her attention fully on Luna until it was their turn to fight.
After the annoyingly destructive fight the few that were uninjured returned and the rest of the class were asked what they did well and since no one payed attention they were slightly embarrassed, so seeing this Momo told everyone that the strategist did a good job on both teams and that the two that currently weren't there due to injuries should learn to fight better with teams and actually learn how to fight. All might not really having anything to say anymore decides to move on
"Right then lets move onto the next battle between team H the heroes and team I the villains."
Waking up Luna walked off with 'froggy' and waited for the start signal, while they were waiting though they discussed a few plans and finally decided on one to use against Momo and 'meal'. Team I was also doing the same as with Momo, just like Luna, they knew each other very well, so the plans they made were quite detailed and encompassed what they thought the other would do.
Finally they were given the signal to start and so they do with Luna instantly transforming into her regular cat form as it was small and nimble, but she made it stronger and at the same time 'froggy' ran inside to distract the two. Momo inside the building started making a luxurious cat bed and a heater, much to the surprise of everyone watching after all who would actually fall for that, but they were wrong and after Luna had run all the way up the stairs very sneakily she had a nap on the bed, or so they thought because she dragged it off and hid for a little while before suddenly appearing back in the room with the bomb. At this time Momo had realised that her plan had almost been successful, but now with her back in the bomb room they had pretty much lost and on queue Luna transforms into a massive tiger and runs to the bomb touching it and making them win, but before they head back she turns to 'bird brains' and starts to drool causing him to shiver in fear and run away with an almost three metre tall lion chasing him.
Fortunately Momo appeared and that took the priority over food for Luna so she transformed back and they headed for the viewing room where the day would soon come to an end with everyone fighting one another and changing back and going home where Luna and Momo had a nice comforting sleep after their long day at school.