Difference between revisions of "1956 AHSME Problems/Problem 5"
(Created page with "== Problem #5== A nickel is placed on a table. The number of nickels which can be placed around it, each tangent to it and to two others is: <math>\textbf{(A)}\ 4 \qquad\tex...") |
Coolmath34 (talk | contribs) |
||
| Line 4: | Line 4: | ||
<math>\textbf{(A)}\ 4 \qquad\textbf{(B)}\ 5 \qquad\textbf{(C)}\ 6 \qquad\textbf{(D)}\ 8 \qquad\textbf{(E)}\ 12</math> | <math>\textbf{(A)}\ 4 \qquad\textbf{(B)}\ 5 \qquad\textbf{(C)}\ 6 \qquad\textbf{(D)}\ 8 \qquad\textbf{(E)}\ 12</math> | ||
| + | |||
| + | ==Solution== | ||
| + | Arrange the nickels in a hexagonal fashion. One can see that one can only place <math>\boxed{\textbf{(C)} \quad 6}</math> nickels around the central nickel. | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | {{AHSME box|year=1956|num-b=4|num-a=6}} | ||
| + | |||
| + | [[Category:Introductory Algebra Problems]] | ||
| + | {{MAA Notice}} | ||
Revision as of 21:18, 12 February 2021
Problem #5
A nickel is placed on a table. The number of nickels which can be placed around it, each tangent to it and to two others is:
Solution
Arrange the nickels in a hexagonal fashion. One can see that one can only place 
nickels around the central nickel.
See Also
| 1956 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
