Revealing mistake: When the team of Mutants are in the small village in Africa, it all goes kinda crazy and there is a bolt of lightning. If you look at the back left corner, you can see one of the flashes from a light they use to create the lightning flash.
Continuity mistake: When Agent Zero starts shooting while in Africa, he throws his pistols into the air and the slides are open, but just before he catches them the slides are closed.
Continuity mistake: When Logan chops down the tree, its canopy is shown to be rounded, but when the tree hits the ground it has a different shape, noticeably more pointed at the top.
Continuity mistake: In the scene where Wade (as the Mutant Weapon XI) & Logan's show down begins, Logan's claws release slowly, and in retaliation, Wade gets his Right hand's sword out. This is the front view. After Striker types in the command to "engage", the front view for Wade still shows only the right sword out. However, when the camera angle shifts to the left profile of Wade attacking, both the swords are out.
Continuity mistake: When Wolverine first meets Gambit, he has a slight mustache and beard. Out in the alley, after his fight with Wolverine, his facial hair is much shorter.
Continuity mistake: When Kayla 'dies', Logan leaves her body in the woods, not bothering to have a funeral or even bury her. He takes off running to the bar and it's nighttime when he arrives.
Revealing mistake: When Wolverine and Gambit are fighting, at one point Wolverine starts slicing apart a fire escape stairway Gambit is on, causing it to slowly collapse downwards. But if you pay attention, the scene is completely ridiculous. The fire-escape slowly collapses, in defiance of physics, at just the right speed for Wolverine to be able to slice it apart piece by piece (when in reality it should have fallen down all at once and then just fallen over), the pieces that Wolverine slices seem to just explode into nothingness when there should be pieces of metal building up around him, and even beyond that... The effect itself also looks very unrealistic. Poorly put together effects sequence that doesn't make any sense if you pay attention.
Continuity mistake: When the boy runs out the house at the beginning he is barefoot - we see this in a close up. When he runs off with his brother into the woods they are both wearing wellington boots.
Continuity mistake: When Logan uses his blades to take out the Humvee during the escape scene, he slashes down the entire left side cutting both tires and the body panels. However when its flying through the air, you can see the body panels are intact.
Continuity mistake: In the scene where Kayle shows Wolverine she is alive, she does not have lipstick, but the last two times they show her face in that scene, she does.
Other mistake: When Wolverine and John Wraith arrive in New Orleans, the street is jammed with people and the casino they find Gambit in is also completely full of patrons. Yet somehow Wolverine being thrown through a wall, his loud shouting, his slicing a fire-ladder to pieces and Gambits massive shock thrust somehow draws absolutely no attention from anyone except the main characters.
Revealing mistake: When the mutants all run to Xavier and the helicopter towards the end of the film, it's blatantly obvious the actors were filmed running on a green-screen and then comped into the scene. The lighting on the actors doesn't really match the background, and somewhat more noticeably, they also don't cast any shadows on the ground.
Continuity mistake: At the end of this movie Wolverine is shot in the head, making a hole in his adamantium skull. However in X-Men we saw an X-ray of his skull, and there was no hole in it. Logan's skull and brain would've healed from the adamantium bullet fired by Striker, but the bullet hole in the adamantium forehead plating should have been visible in the X-ray image.
Answer: Technopathy which is the ability to control certain electrical devices and Electrokinesis which is the ability to generate, manipulate and/or conduct electricity.