Engineer: remember pipe dream? Well imagine having to reconfigure a circuit system within a time frame.
Tactical: Imagine a ship infested with metallic spiders which are trying to destroy ships subsystems. Enough spiders have be destroyed within a specific time period in order for the engineering team to complete repairs.
Science: Imagine a computer display with broken DNA strands. The player has to link the correct configuration of DNA strands together to form a complete one.