1996 AMC 8 Problem 3
Attempt Problem 3 of the 1996 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 1996 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
The whole numbers from through are written, one per square, on a checkerboard (an by array of squares). The first numbers are written in order across the first row, the next across the second row, and so on. After all numbers are written, the sum of the numbers in the four corners will be
Answer: A
Small hint:
The first row holds through the last row holds through
Big hint:
The four corners are the first and last numbers of the top row and of the bottom row
Solution:
The first row is and the last row is The four corners are and
Their sum is
Thus, the correct answer is A .
Problem 3 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 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
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
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