French word quelque comes from French que, French quel ((exclamative) what. Which What.)

Detailed word origin of quelque

Dictionary entry	Language	Definition
que	French (fra)	(used with ne) only (ne ... que parses roughly as "(do[es]) not / nothing ... other than"). Links two noun phrases in apposition forming a clause without a (finite) verb, such that the complement acts as predicate.. Substitutes for another, previously stated conjunction.. That (introduces a noun clause and connects it to its parent clause). When, no sooner. Than (introduces a comparison) [...]
quel	French (fra)	(exclamative) what. Which What.
quelque	French (fra)	Some (singular).