2006 AMC 8 Problem 12
Attempt Problem 12 of the 2006 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 2006 AMC 8 solutions, or check the answer key.
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12.
Antonette gets on a -problem test, on a -problem test and on a -problem test. If the three tests are combined into one -problem test, which percent is closest to her overall score?
Answer: D
Small hint:
Convert each test percentage into a number of correct answers.
Big hint:
This is a weighted average by number of problems, not a plain average of the three percentages.
Solution:
Antonette got questions right on the first test. Similarly, she got and problems right on her second and third tests.
Adding these up yields correct questions. Her score on the combined test would have been , closest to .
Thus, D is the correct answer.
Problem 12 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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