2017 AMC 8 Problem 11
Attempt Problem 11 of the 2017 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2017 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
11.
A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is how many tiles cover the floor?
Answer: C
Small hint:
In an odd-by-odd square, the two diagonals share exactly the center tile.
Big hint:
If each diagonal has tiles, the two diagonals together contain tiles.
Video solution:
Click to load, then click again to play
Written solution:
tiles on both diagonals imply that there are tiles on each diagonal, since one tile overlaps in the middle. The total number of tiles would then be since the number of tiles in each row is equal to the number of tiles in one diagonal.
Thus, C is the correct answer.
Problem 11 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
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
- 2003 AMC 8
- 2004 AMC 8
- 2005 AMC 8
- 2006 AMC 8
- 2007 AMC 8
- 2008 AMC 8
- 2009 AMC 8
- 2010 AMC 8
- 2011 AMC 8
- 2012 AMC 8
- 2013 AMC 8
- 2014 AMC 8
- 2015 AMC 8
- 2016 AMC 8
- 2018 AMC 8
- 2019 AMC 8
- 2020 AMC 8
- 2022 AMC 8
- 2023 AMC 8
- 2024 AMC 8
- 2025 AMC 8
- 2026 AMC 8