1987 AMC 8 Problem 11
Attempt Problem 11 of the 1987 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 1987 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
11.
The sum is between which two values?
and
and
and
and
and
Answer: B
Small hint:
Add the whole-number parts first:
Big hint:
The fractional parts are this is more than but less than
Solution:
The whole-number parts sum to The fractional parts are
Since is a small positive amount, the fractional total is more than but well under So the sum lies between and
Thus, the correct answer is B .
Problem 11 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
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