2005 AMC 12B Problem 4
Attempt Problem 4 of the 2005 AMC 12B 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 2005 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
At the beginning of the school year, Lisa’s goal was to earn an A on at least of her quizzes for the year. She earned an A on of the first quizzes. If she is to achieve her goal, on at most how many of the remaining quizzes can she earn a grade lower than an A?
Answer: B
Small hint:
of quizzes is the number of A’s she needs
Big hint:
She needs more A’s out of the remaining quizzes
Solution:
Lisa needs an A on at least quizzes.
She has already, so she needs more of the remaining quizzes.
She can earn a lower grade on at most of them.
Thus, the correct answer is B.
Problem 4 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1958 AMC 12
- 1959 AMC 12
- 1960 AMC 12
- 1961 AMC 12
- 1962 AMC 12
- 1963 AMC 12
- 1964 AMC 12
- 1965 AMC 12
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- 1971 AMC 12
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- 1977 AMC 12
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- 2002 AMC 12A
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- 2005 AMC 12A
- 2006 AMC 12A
- 2006 AMC 12B
- 2007 AMC 12A
- 2007 AMC 12B
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