contend vs quarrel

contend is not a noun while quarrel is a noun.

Word	Noun	Adjective	Verb	Adverb
contend	No	No	Yes	No
quarrel	Yes	No	Yes	No

As verbs, quarrel is a hyponym of contend; that is, quarrel is a word with a more specific, narrower meaning than contend:

Other hyponyms of contend include stickle, spar, bicker, brabble, niggle, pettifog, quibble, squabble, altercate, argufy, dispute, scrap, oppose.

contend (noun)	quarrel (noun)
	an arrow that is shot from a crossbow; has a head with four edges
	an angry dispute

contend (verb)	quarrel (verb)
to make the subject of dispute, contention, or litigation	have a disagreement over something
have an argument about something
maintain or assert
compete for something; engage in a contest; measure oneself against others
be engaged in a fight; carry on a fight
succeed in doing, achieving, or producing (something) with the limited or inadequate means available