Denshi Jisho — Online Japanese dictionary

もん counter for questions
Common word, Suffix, Counter 
とい question; query
Noun 
とい question; query
Common word, Noun 
とう 1: to ask; to question; to inquire;
2: to charge (i.e. with a crime); to accuse;
3: to care (about);
4: without regard to (with negative verb)
Common word, Godan verb with u ending (special class), Transitive verb 
とんや wholesale store
Common word, Noun 
といや wholesale store
Noun 
わず とわず regardless of
Expression 
もんせき blame; censure; reproof; reprimand; rebuke
Common word, Noun, Suru verb 
もんだい problem; question
Common word, Noun 
もんどう questions and answers; dialogue
Common word, Noun, Suru verb 
もんざい accusation; indictment
Noun, Suru verb 
もんしん interview (usually medical); history taking
Noun, Suru verb 
合せ といあわせ enquiry; inquiry; ENQ; query; interrogation
Noun 
題化 もんだいか make an issue or problem of something; something becoming a problem or issue
Noun, Suru verb 
題視 もんだいし viewed as a problem
Noun, Suru verb 
題児 もんだいじ problem child
Noun 
い返す といかえす to ask again; to ask back
Godan verb with su ending, Transitive verb 
掛ける といかける 1: to ask a question;
2: to begin to ask a question
Ichidan verb, Transitive verb 
い正す といただす to enquire of someone about something (inquire); to question
Irregular kanji usage, Godan verb with su ending, Transitive verb 
い質す といただす to enquire of someone about something (inquire); to question
Godan verb with su ending, Transitive verb 
い直す といなおす to question again; to repeat a question (esp. a problematic point, or to verify understanding); to repeat a query
Godan verb with su ending 
い合わせ といあわせ enquiry; inquiry; ENQ; query; interrogation
Common word, Noun 
いかける といかける 1: to ask a question;
2: to begin to ask a question
Ichidan verb, Transitive verb 
い掛ける といかける 1: to ask a question;
2: to begin to ask a question
Ichidan verb, Transitive verb 
いただす といただす to enquire of someone about something (inquire); to question
Godan verb with su ending, Transitive verb 
いつめる といつめる to press a question; to cross-examine
Ichidan verb, Transitive verb 

Found 77 words. Page one, two, three

You can also

Look up kanji details for 問.

Try a Yahoo Jisho search for 問 .
Try a Goo Jisho search for 問 .
Try a Google search for 問 .