"The room appears to be empty" when it actually is.
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"You see nothing of note"
"Empty"?
What are the mimics disguised as? Floorboards? Lint?
There was a necromancer tower in an early issue of Dungeon magazine. It had a stairwell with broken stairs and debris. A mimic had replaced one of the broken stairs. The only possible clue is the fact that there's more rubble than there are missing stairs.
I had a DM make the entire house a mimic once. We spent like 6 turns of combat fighting a rug before we realized that was just the tongue.
"Empty" is pretty contextual.
If you're playing D&D 5e, no perception check, no matter how high, will let you notice an object is actually a mimic.
False Appearance (Object Form Only). While the mimic remains motionless, it is indistinguishable from an ordinary object.
What about the kind of evidence that leaves marks on the floor around where the mimic has been moving? Seems to me that's fair game
Still, as a DM, it's far too tempting to give a little bit of this away and join in on the hijinks.
Me: You find yourselves in a hidden library. On one shelf you see a series of tomes named "How Not to be Seen", volumes I-XX.
Newbie Fighter: Oh sweet, those look handy.
Seasoned Rogue: Aw fuck. NOBODY TOUCH NOTHIN'!
Ten minutes later:

Lesson one: not standing up.
Well, is there some true sight or something that let's you see a mimic?
No idea. Not even the most meta-gaming-est members of that party had a workaround.
Yea and the pile of bones and gore next to the chest is purely coincidental
This is why I ask players what they want to do before calling for rolls after describing an area.
Once checks are called, all decided actions are locked in, then I narrate how the scene plays out based on the rolls. If a perception check is needed for traps, they have already confirmed what they are currently doing and can't meta game around the consequences of it from having rolled low beforehand.
If their actions are to search for traps, then they do so, but if they roll low, they are still considered to be actively searching and thus, I will narrate that they triggered the trap while searching due to the low rolls. This also has the bonus of letting people with good intelligence but low wisdom substitute Investigation in the place of Perception.
If it's in battle, perception is rolled for traps when stepping into the square of a trap. If passed, you spot it and are assumed to be actively avoiding triggering it (cause remember a square is a 5×5 foot area, not simply a single tile or something); if you failed, then well sucks to suck.
This way, players can't mind trap themselves into doing nothing because they are constantly paranoid about their low rolls.
I like how pathfinder 2 has the concept of secret roles baked into the rules.
I have my players character sheets open at all times and roll for them when they search a room.
Keeps everyone in their toes and eliminates meta gaming
Ugh, I remember years ago my players threw an absolute fit when I tried rolling behind the screen for their checks without telling them. I appreciate that it's actually baked into the rules in PF2e
While I like my system, there are situations where I would really like to have rolled behind the screen because the thing they rolled for is a secret door or something and now they are asking questions why I called for a roll but nothing special happened in my narrative pertaining to it.
I'm not a DM, but I think the common advice is "randomly roll dice for no reason occasionally so the players can't rely on dice rolls being significant."
Unfortunately, if a trap goes off or they do spot one, players will tend to question why they didn't get to roll anything and you have to explain that you were rolling for them behind the screen. Less the fact I'm rolling and more that they didn't get to roll at all.
My players took great offense to that when it happened, unfortunately, as the rules at the time didn't really support the DM having that authority.
So, I'm happy PF2e now has it baked in so that DMs are officially able to utilize that method of secret rolls.
GURPS has an official GM Control Sheet for you to fill out with your PCs base stats and things like Perception. This supports their recommendation in the rule books to secretly roll any check where the PC wouldn't really know if they failed. It's fantastic.
I'm every part of that meme and I like it! 😁