Student Engagement Flashcards
7 cards from real AMC 12 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Student Engagement flashcards as text
After eliminating exactly one of the five choices, how does a random guess compare with leaving the question blank?
Answer: The guess equals the 1.5-point blank on average
With 4 choices left, the expected value is 6/4 = 1.5, the same as a blank.
A student wants at least 100 points and is sure of 14 correct answers, leaving the rest blank. Do they reach 100?
Answer: Yes, they get 100.5
14(6) + 11(1.5) = 84 + 16.5 = 100.5.
Which competition comes after the AIME for top performers in the U.S. pathway?
Answer: USAMO (or USAJMO)
Top AIME scorers, based on combined AMC and AIME results, are invited to the USAMO or USAJMO.
What is the final stage of the U.S. competition pathway that starts with the AMC 12?
Answer: Representing the U.S. at the International Mathematical Olympiad
The pathway goes AMC, AIME, USAMO, then the Olympiad program, which selects the U.S. IMO team.
A student consistently runs out of time on the AMC 12. What is the best adjustment?
Answer: Skip problems that are taking too long, then come back to them if time remains
Moving past time-consuming problems protects points that are easier to get later in the test.
A student scored 84 points, and 12 of those points came from blank answers. How many questions did the student answer correctly?
Answer: 12
84 - 12 = 72 points came from correct answers, and 72 / 6 = 12 correct.
Which resource is the official source for past AMC 12 problems that students can use for practice?
Answer: The Mathematical Association of America (MAA)
The MAA runs the AMC and publishes past problems and solutions.
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