Follow these rules and your party will survive much longer. If you're watching a horror movie, you'll see these rules get violated all the time, especially just before someone is attacked by monsters or the axe murderer in the closet.
You don't want to split up to explore different levels of a castle. Stay together, but not so close that a fireball or a clever room-based trap can get you all.
Search for Traps
I lost count of the number of players that were lost because they didn't check for traps on a keyhole or in a suspicious hallway.
Have your team pick on only a couple monsters at a time instead of each person fighting one or two separate enemies. They will die quicker and you will take less damage because there will be fewer of them hitting you later in the battle.
Always Have An Escape Plan; Sometimes Use It
If nothing else, have one person stay way in back so they will be able to run to town to gather a party to avenge your deaths.
Look at suspicious hallways going nowhere, closets when there is no reason for a closet, passages between rooms. There also may be secret doors in secret rooms.
Search Stomachs of Large Monsters
Really, this rule is "If a monster can eat someone whole or if they eat rock, minerals, or gems, then you should search their stomach(s)."
Check For False Bottoms
Desk drawers, treasure chests, and even clothing can have secret hiding spots. If the bad guy had something to hide, do you think they would leave it on a chair in the middle of the room with a spotlight on it?
Alcohol Has Many Uses
My party thought that this was a good rule to have on the list, but I didn't believe it extended the life of our party. I'll let you decide. We used alcohol to get drunk, to get others drunk, to sterilize wounds, to start fires (we carried the good stuff), as a solvent or thinner, to kill bacteria in questionable liquids, as a bribe or payment, to clean things, and as a counterweight. I'm sure that I am missing a few of our uses, but life wasn't dull when one party member kept a small barrel of alcohol around.