Intelligence: “I’m smart. I don’t have to study for the quiz.”

Wisdom: “I should’ve studied for the quiz!”

Intelligence is knowledgeable and processing speed. Wisdom is awareness and memory.

You remember the store had 4 apples on the shelf, but you know 2 + 2 is 4.

Maybe in some colloquial definitions, but following the DnD conventions (which is what I assume op was talking about), Intelligence refers to knowledge, while Wisdom refers to perception, introspection, and metacognition (knowing that you know or don’t know something) . So I think high Wis (you are quick on perceiving things) but low Int (not being able to remember what you know) would apply.

It’s not a science, though. This is just my personal interpretation.