I'm unsure, in the sentence, since the "to be" verb is applying to homework, but comes after a plural, which is used?

What classes is the homework for?

What classes are the homework for?


The verb always agrees with the subject, regardless of word order.

You have correctly identified the subject of the sentence as "homework", which is a singular collective noun. So, you should use the singular form of the verb: "What classes is the homework for."

It may sound strange, because the word order is inverted and the verb comes after a plural noun, but the subject-verb agreement is all that matters. It may help if you think about answering the question, so that the word order goes back to normal:

"What classes is the homework for?"

"The homework is for classes A and C."

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