1987 AMC 8 Problem 6
Attempt Problem 6 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).
6.
The smallest product one could obtain by multiplying two numbers in the set is
Answer: B
Small hint:
The smallest product is the most negative one, which comes from one negative and one positive factor
Big hint:
Pair the most negative number with the largest positive number
Solution:
A negative product comes from multiplying a negative number by a positive number, and it is most negative when both factors are largest in size.
The most negative product is
Thus, the correct answer is B .
Problem 6 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
- 1995 AMC 8
- 1996 AMC 8
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- 1999 AMC 8
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