| 481 |
AMC 12 1998 A Q30 |
For each positive integer \(n\), let
\[a_n = \fra... |
1516.00 |
| 482 |
AMC 12 1997 A Q29 |
Call a positive real number special if it has a de... |
1516.00 |
| 483 |
AMC 12 1993 A Q22 |
Twenty cubical blocks are arranged as shown. First... |
1516.00 |
| 484 |
AMC 12 1993 A Q28 |
How many triangles with positive area are there wh... |
1516.00 |
| 485 |
AMC 12 1995 A Q12 |
Let \(f\) be a linear function with the properties... |
1516.00 |
| 486 |
AMC 12 1995 A Q19 |
Equilateral triangle \(DEF\) is inscribed in equil... |
1516.00 |
| 487 |
AMC 12 1995 A Q24 |
There exist positive integers \(A,B\) and \(C\), w... |
1516.00 |
| 488 |
AMC 12 1995 A Q25 |
A list of five positive integers has mean \(12\) a... |
1516.00 |
| 489 |
AMC 12 1995 A Q29 |
For how many three-element sets of positive intege... |
1516.00 |
| 490 |
AMC 12 1989 A Q18 |
The set of all numbers x for which \[x+\sqrt{x^{2}... |
1516.00 |
| 491 |
AMC 12 1989 A Q26 |
A regular octahedron is formed by joining the cent... |
1516.00 |
| 492 |
AMC 12 1989 A Q28 |
Find the sum of the roots of \(\tan^2x-9\tan x+1=0... |
1516.00 |
| 493 |
AMC 12 1990 A Q21 |
Consider a pyramid \(P-ABCD\) whose base \(ABCD\) ... |
1516.00 |
| 494 |
AMC 12 1986 A Q21 |
In the configuration below, \(\theta\) is measured... |
1516.00 |
| 495 |
AMC 12 1986 A Q27 |
In the adjoining figure, \(AB\) is a diameter of t... |
1516.00 |
| 496 |
AMC 12 1986 A Q30 |
The number of real solutions \((x,y,z,w)\) of the ... |
1516.00 |
| 497 |
AMC 12 1988 A Q13 |
If \(\sin\ x\ =\ 3\ \cos\ x\) then what is \(\sin\... |
1516.00 |
| 498 |
AMC 12 1987 A Q11 |
Let \(c\) be a constant. The simultaneous equation... |
1516.00 |
| 499 |
AMC 12 1987 A Q17 |
In a mathematics competition, the sum of the score... |
1516.00 |
| 500 |
AMC 12 1987 A Q19 |
Which of the following is closest to \(\sqrt{65}-\... |
1516.00 |