The article examines a set of nouns which can be interpreted as questions on the degree to which some property holds and can be paraphrased by clauses introduced by how + Adjective, in some interrogative contexts. This subset of nouns is shown to clearly differ from (traditional) Concealed Questions. Nouns that allow the concealed degree reading (DCQ nouns) are argued to share specific semantic features: only nouns that can denote eventualities involving (intensional) gradable states can have degree concealed question readings. The concealed degree reading is shown not only to result from lexical semantic properties of nouns and from the semantics of the predicates that select them, but also to depend on contextual parameters, which can disambiguate concealed question readings.