| 461 |
AMC 12 2005 B Q13 |
Suppose that \( 4^{x_1} = 5, 5^{x_2} = 6, 6^{x_3} ... |
1516.00 |
| 462 |
AMC 12 2015 A Q13 |
A league with \(12\) teams holds a round-robin tou... |
1516.00 |
| 463 |
AMC 12 2015 A Q15 |
What is the minimum number of digits to the right ... |
1516.00 |
| 464 |
AMC 12 2015 A Q24 |
Rational numbers \(a\) and \(b\) are chosen at ran... |
1516.00 |
| 465 |
AMC 12 2015 B Q11 |
The line \(12x+5y=60\) forms a triangle with the c... |
1516.00 |
| 466 |
AMC 12 2015 B Q13 |
Quadrilateral \(ABCD\) is inscribed inside a circl... |
1516.00 |
| 467 |
AMC 12 2016 A Q21 |
A quadrilateral is inscribed in a circle of radius... |
1516.00 |
| 468 |
AMC 12 2016 B Q22 |
For a certain positive integer \(n\) less than \(1... |
1516.00 |
| 469 |
AMC 12 2016 B Q23 |
What is the volume of the region in three-dimensio... |
1516.00 |
| 470 |
AMC 12 2010 A Q20 |
Arithmetic sequences \( (a_n)\) and \( (b_n)\) hav... |
1516.00 |
| 471 |
AMC 12 2010 B Q24 |
The set of real numbers \( x\) for which
\[ \frac... |
1516.00 |
| 472 |
AMC 12 2017 A Q16 |
In the figure below, semicircles with centers at \... |
1516.00 |
| 473 |
AMC 12 2017 A Q22 |
A square is drawn in the Cartesian coordinate plan... |
1516.00 |
| 474 |
AMC 12 2009 A Q25 |
The first two terms of a sequence are \( a_1 = 1\)... |
1516.00 |
| 475 |
AMC 12 2009 B Q16 |
Trapezoid \( ABCD\) has \( AD||BC\), \( BD = 1\), ... |
1516.00 |
| 476 |
AMC 12 2007 A Q17 |
Suppose that \( \sin a + \sin b = \sqrt {\frac {5}... |
1516.00 |
| 477 |
AMC 12 2007 A Q19 |
Triangles \( ABC\) and \( ADE\) have areas \( 2007... |
1516.00 |
| 478 |
AMC 12 2007 A Q25 |
Call a set of integers spacy if it contains no mor... |
1516.00 |
| 479 |
AMC 12 2011 A Q7 |
Let \(x\) and \(y\) be two-digit positive integers... |
1516.00 |
| 480 |
AMC 12 2011 A Q23 |
A bug travels in the coordinate plane, moving only... |
1516.00 |