| 501 |
AMC 12 1987 A Q26 |
The amount \(2.5\) is split into two nonnegative r... |
1516.00 |
| 502 |
AMC 12 1987 A Q27 |
A cube of cheese \(C=\{(x, y, z)| 0 \le x, y, z \l... |
1516.00 |
| 503 |
AMC 12 1987 A Q29 |
Consider the sequence of numbers defined recursive... |
1516.00 |
| 504 |
AMC 12 1980 A Q10 |
The number of teeth in three meshed gears \(A\), \... |
1516.00 |
| 505 |
AMC 12 1981 A Q21 |
In a triangle with sides of lengths \(a,b,\) and \... |
1516.00 |
| 506 |
AMC 12 1981 A Q24 |
If \( \theta\) is a constant such that \( 0 < \the... |
1516.00 |
| 507 |
AMC 12 1994 A Q1 |
\(4^4 \cdot 9^4 \cdot 4^9 \cdot 9^9=\)
$$ \text... |
1516.00 |
| 508 |
AMC 12 1994 A Q17 |
An \(8\) by \(2\sqrt{2}\) rectangle has the same c... |
1516.00 |
| 509 |
AMC 12 1994 A Q22 |
Nine chairs in a row are to be occupied by six stu... |
1516.00 |
| 510 |
AMC 12 1994 A Q30 |
When \(n\) standard 6-sided dice are rolled, the p... |
1516.00 |
| 511 |
AMC 12 1985 A Q6 |
One student in a class of boys and girls is chosen... |
1516.00 |
| 512 |
AMC 12 1985 A Q28 |
In \( \triangle ABC\), we have \( \angle C = 3 \an... |
1516.00 |
| 513 |
AMC 12 1984 A Q21 |
The number of triples \((a,b,c)\) of positive inte... |
1516.00 |
| 514 |
AMC 12 1996 A Q27 |
Consider two solid spherical balls, one centered a... |
1516.00 |
| 515 |
AMC 12 1991 A Q23 |
If \(ABCD\) is a \(2\ X\ 2\) square, \(E\) is the ... |
1516.00 |
| 516 |
AMC 12 1991 A Q26 |
An \(n\)-digit positive integer is cute if its \(n... |
1516.00 |
| 517 |
AMC 12 1991 A Q27 |
If \(x + \sqrt{x^{2} - 1} + \frac{1}{x - \sqrt{x^{... |
1516.00 |
| 518 |
AMC 12 1992 A Q12 |
Let \(y = mx + b\) be the image when the line \(x ... |
1516.00 |
| 519 |
AMC 12 1992 A Q24 |
Let \(ABCD\) be a parallelogram of area \(10\) wit... |
1516.00 |
| 520 |
AMC 12 1999 A Q13 |
Define a sequence of real numbers \( a_1\), \( a_2... |
1516.00 |