This is something a friend of mine (an engineer) and I tossed around a while back. I’d like to throw it out to the Dopers and see what they say:
How to win the Kobiashi Maru scenario
Go in pretty much as Savik did in ST II.
Once the trap is sprung, (you realize there’s not ship needing rescue, it’s a trap by the Romulans) here’s what you do:
Evacuate the lower decks to the saucer hull.
Go to the highest warp speed possible. The Romulans give chase.
After everyone’s out of the propulsion hull, thru Engineering on the bridge, cause the engines to deliberately go into imbalance and create a worm hole around the ship.
Separate the saucer hull from the propulsion hull.
The saucer hull should be throw out of the wormhole pretty much like a watermelon seed due to its momentum from being at warp speed. If the Romulan ships are close enough, they’ll be sucked into the wormhole, too, but your ship will be thrown clear.
Would it work?