2001 AMC 8 Problem 22
Attempt Problem 22 of the 2001 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2001 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
On a twenty-question test, each correct answer is worth points, each unanswered question is worth point and each incorrect answer is worth points. Which of the following scores is NOT possible?
Answer: E
Small hint:
Check scores near
Big hint:
With correct answers, only two scores are possible
Solution:
With correct answers, the score is .
With correct answers, the score is either or , depending on whether the remaining question is incorrect or unanswered.
With correct answers, the remaining two questions can contribute , , or points, giving , , or .
Thus the listed scores are possible, while is not.
Thus, E is the correct answer.
Problem 22 in other years
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