The best replacement for quiz is test.

The best alternatives to quiz are rated as following:
★★★★★  test
★★★★★  survey
★★★★  trivia
★★★  surveys
★★  exam
★★  quizz
★★  tests
★★  quizzes
★  friends
★  either
★  poll
★  now show
  answers
  heritage
  hot brain

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Speaking about quiz, one probably shouldn't forget about answers.

Other search terms related to quiz and their ratings are:
★★★★★ answers
★ options and answers
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Google Trends

Scale is based on the average worldwide traffic of quiz in all years. Click on graph for more.
quiz
test
survey