1993 AMC 8 Problem 22
Attempt Problem 22 of the 1993 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 1993 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
Pat Peano has plenty of ’s, ’s, ’s, ’s, ’s, ’s, ’s, ’s and ’s, but he has only twenty-two ’s. How far can he number the pages of his scrapbook with these digits?
Answer: D
Small hint:
Count how many ’s appear when numbering pages through
Big hint:
Ten ’s appear in the units place and ten in the tens place through then track the remaining twos past
Solution:
Numbering through uses ten ’s in the units place and ten in the tens place, a total of twenty ’s. Pages and use none.
The remaining two ’s are used on pages and After that, pages through need no but would require another so he can number up to
Thus, the correct answer is D .
Problem 22 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
- 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
- 2017 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