While on a day trip to a hands-on science museum, Marge feels sorry for Ralph Wiggum being bullied and suggests to Chief Wiggum that Ralph and Bart be play buddies, which Bart objects to -- until he realizes that Ralph is the son of an incompetent police chief and has police equipment at his disposal (including a master key that opens up every lock in town -- including one to an abandoned prison's electric chair).
* BrickJoke: Ralph mentions that he's friends with a leprechaun that tells him to burn things. In the end, when everyone is cheering for him, the leprechaun tells Ralph to burn down The Simpsons' house.
** When they first enter the Knowledgeum, The Simpsons are introduced to the place by Troy McClure who warns them that their car might be subjected to repeated break-ins. Homer was the only one worried about that. After leaving we clearly see their car has broken windows.
* ADayInTheLimelight: For Ralph and Bart mostly, meaning that NancyCartwright gets to [[TalkingToHimself talk to herself through 90% of the episode]], as she also voices Nelson Muntz and Kearney.
* NoseNuggets: "I found a moon rock in my nose!"
-->'''Bart:''' Houston, we have a booger.
* SarcasmBlind: When Mrs. Krabappel asked the students seven times eight, Milhouse answered "low battery" (they were using calculators) and didn't understand her reaction to his answer was sarcastic.
* TheScrooge: Mr. Burns saved Mayor Quimby by cutting off the electricity supply to the electric chair, but his motives were less than noble. Burns simply wouldn't supply electricity to anyone who wasn't paying for it (though why would a prison still have electricity and a security guard if no-one's been using it for years?)
* ThrowTheDogABone: Lisa was the one to come up with a plan to save Mayor Quimby but the one congratulated was Ralph for suggesting to ask for her help. Lisa gives in out of pity.
* WhatDoesThisButtonDo: Bart presses the keyboard buttons on the visible computer despite Frink telling him to stop. It's done to the point the computer crashes and [[ExplosiveInstrumentation catches fire]].