i Register
In some senses, smirk is marked as obsolete. Watch for register when choosing this word.
ADJ
arrogant, knowing, patronizing, self-satisfied
VERB + SMIRK
have
He had an annoying smirk whenever he won at chess against his friends.
give
He gave a smirk when his friend tripped over the chair.
conceal, hide
She couldn't hide her smirk when she found out her brother had failed the test.
SMIRK + VERB
flicker
A slight smirk flickered across her face when she realized he'd forgotten their anniversary.
PREP
with a ~
She answered his question with a smirk, clearly enjoying his confusion.
~ of
She noticed a smirk of satisfaction on his face when he won the game.