| 501 |
AMC 12 1995 A Q28 |
Two parallel chords in a circle have lengths \(10\... |
1516.00 |
| 502 |
AMC 12 1995 A Q29 |
For how many three-element sets of positive intege... |
1516.00 |
| 503 |
AMC 12 1989 A Q18 |
The set of all numbers x for which \[x+\sqrt{x^{2}... |
1516.00 |
| 504 |
AMC 12 1989 A Q26 |
A regular octahedron is formed by joining the cent... |
1516.00 |
| 505 |
AMC 12 1989 A Q28 |
Find the sum of the roots of \(\tan^2x-9\tan x+1=0... |
1516.00 |
| 506 |
AMC 12 1990 A Q21 |
Consider a pyramid \(P-ABCD\) whose base \(ABCD\) ... |
1516.00 |
| 507 |
AMC 12 1986 A Q21 |
In the configuration below, \(\theta\) is measured... |
1516.00 |
| 508 |
AMC 12 1986 A Q27 |
In the adjoining figure, \(AB\) is a diameter of t... |
1516.00 |
| 509 |
AMC 12 1986 A Q28 |
\(ABCDE\) is a regular pentagon. \(AP\), \(AQ\) a... |
1516.00 |
| 510 |
AMC 12 1986 A Q29 |
Two of the altitudes of the scalene triangle \(ABC... |
1516.00 |
| 511 |
AMC 12 1986 A Q30 |
The number of real solutions \((x,y,z,w)\) of the ... |
1516.00 |
| 512 |
AMC 12 1988 A Q13 |
If \(\sin\ x\ =\ 3\ \cos\ x\) then what is \(\sin\... |
1516.00 |
| 513 |
AMC 12 1987 A Q11 |
Let \(c\) be a constant. The simultaneous equation... |
1516.00 |
| 514 |
AMC 12 1987 A Q17 |
In a mathematics competition, the sum of the score... |
1516.00 |
| 515 |
AMC 12 1987 A Q19 |
Which of the following is closest to \(\sqrt{65}-\... |
1516.00 |
| 516 |
AMC 12 1987 A Q26 |
The amount \(2.5\) is split into two nonnegative r... |
1516.00 |
| 517 |
AMC 12 1987 A Q27 |
A cube of cheese \(C=\{(x, y, z)| 0 \le x, y, z \l... |
1516.00 |
| 518 |
AMC 12 1987 A Q29 |
Consider the sequence of numbers defined recursive... |
1516.00 |
| 519 |
AMC 12 1980 A Q10 |
The number of teeth in three meshed gears \(A\), \... |
1516.00 |
| 520 |
AMC 12 1981 A Q21 |
In a triangle with sides of lengths \(a,b,\) and \... |
1516.00 |