| 521 |
AMC 12 1981 A Q24 |
If \( \theta\) is a constant such that \( 0 < \the... |
1516.00 |
| 522 |
AMC 12 1994 A Q1 |
\(4^4 \cdot 9^4 \cdot 4^9 \cdot 9^9=\)
$$ \text... |
1516.00 |
| 523 |
AMC 12 1994 A Q17 |
An \(8\) by \(2\sqrt{2}\) rectangle has the same c... |
1516.00 |
| 524 |
AMC 12 1994 A Q22 |
Nine chairs in a row are to be occupied by six stu... |
1516.00 |
| 525 |
AMC 12 1994 A Q30 |
When \(n\) standard 6-sided dice are rolled, the p... |
1516.00 |
| 526 |
AMC 12 1985 A Q6 |
One student in a class of boys and girls is chosen... |
1516.00 |
| 527 |
AMC 12 1985 A Q28 |
In \( \triangle ABC\), we have \( \angle C = 3 \an... |
1516.00 |
| 528 |
AMC 12 1984 A Q21 |
The number of triples \((a,b,c)\) of positive inte... |
1516.00 |
| 529 |
AMC 12 1996 A Q27 |
Consider two solid spherical balls, one centered a... |
1516.00 |
| 530 |
AMC 12 1991 A Q23 |
If \(ABCD\) is a \(2\ X\ 2\) square, \(E\) is the ... |
1516.00 |
| 531 |
AMC 12 1991 A Q26 |
An \(n\)-digit positive integer is cute if its \(n... |
1516.00 |
| 532 |
AMC 12 1991 A Q27 |
If \(x + \sqrt{x^{2} - 1} + \frac{1}{x - \sqrt{x^{... |
1516.00 |
| 533 |
AMC 12 1983 A Q27 |
A large sphere is on a horizontal field on a sunny... |
1516.00 |
| 534 |
AMC 12 1983 A Q30 |
Distinct points \(A\) and \(B\) are on a semicircl... |
1516.00 |
| 535 |
AMC 12 1992 A Q12 |
Let \(y = mx + b\) be the image when the line \(x ... |
1516.00 |
| 536 |
AMC 12 1992 A Q24 |
Let \(ABCD\) be a parallelogram of area \(10\) wit... |
1516.00 |
| 537 |
AMC 12 1999 A Q13 |
Define a sequence of real numbers \( a_1\), \( a_2... |
1516.00 |
| 538 |
AMC 12 1999 A Q16 |
What is the radius of a circle inscribed in a rhom... |
1516.00 |
| 539 |
AMC 12 1999 A Q29 |
A tetrahedron with four equilateral triangular fac... |
1516.00 |
| 540 |
AMC 12 1982 A Q21 |
In the adjoining figure, the triangle \(ABC\) is a... |
1516.00 |