Difference between revisions of "2000 AMC 8 Problems/Problem 9"
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Three-digit powers of <math>2</math> and <math>5</math> are used in this ''cross-number'' puzzle. What is the only possible digit for the outlined square? | Three-digit powers of <math>2</math> and <math>5</math> are used in this ''cross-number'' puzzle. What is the only possible digit for the outlined square? | ||
− | <cmath>\begin{ | + | <cmath>\begin{array}{lcl} |
\textbf{ACROSS} & & \textbf{DOWN} \\ | \textbf{ACROSS} & & \textbf{DOWN} \\ | ||
\textbf{2}. 2^m & & \textbf{1}. 5^n | \textbf{2}. 2^m & & \textbf{1}. 5^n | ||
− | \end{ | + | \end{array}</cmath> |
<asy> | <asy> |
Revision as of 19:45, 10 March 2015
Problem
Three-digit powers of and are used in this cross-number puzzle. What is the only possible digit for the outlined square?
Solution
The -digit powers of are and , so space is filled with a . The only -digit power of beginning with is , so the outlined block is filled with a .
See Also
2000 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.