Better English Lessons
Learning to Use Multiword Verbs
This site has interactive quizzes for advanced English language learners that tests knowledge of multiword verb expressions such as "Acting up," and "Airing out." [Site uses British versus American English.]
Other
Using English: English Language Quizzes
Over 200 short self-quizzes for English learners at beginner and intermediate levels. Quizzes span topics including spelling, grammar, vocabulary, and punctuation.
English Club
English Club: Learn English: Grammar: Verbs: Multiword Verbs
An explanation and examples of multiword verbs with links to additional information about phrasal verbs, prepositional verbs, and a quiz.