| 461 |
AMC 12 2010 B Q24 |
The set of real numbers \( x\) for which
\[ \frac... |
1516.00 |
| 462 |
AMC 12 2017 A Q16 |
In the figure below, semicircles with centers at \... |
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| 463 |
AMC 12 2017 A Q22 |
A square is drawn in the Cartesian coordinate plan... |
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| 464 |
AMC 12 2009 A Q25 |
The first two terms of a sequence are \( a_1 = 1\)... |
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| 465 |
AMC 12 2009 B Q16 |
Trapezoid \( ABCD\) has \( AD||BC\), \( BD = 1\), ... |
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| 466 |
AMC 12 2007 A Q17 |
Suppose that \( \sin a + \sin b = \sqrt {\frac {5}... |
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| 467 |
AMC 12 2007 A Q19 |
Triangles \( ABC\) and \( ADE\) have areas \( 2007... |
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| 468 |
AMC 12 2007 A Q25 |
Call a set of integers spacy if it contains no mor... |
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| 469 |
AMC 12 2011 A Q7 |
Let \(x\) and \(y\) be two-digit positive integers... |
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| 470 |
AMC 12 2011 A Q23 |
A bug travels in the coordinate plane, moving only... |
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| 471 |
AMC 12 2003 A Q11 |
A square and an equilateral triangle have the same... |
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| 472 |
AMC 12 2003 A Q19 |
A parabola with equation \( y = ax^2 + bx + c\) is... |
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| 473 |
AMC 12 2006 A Q13 |
The vertices of a \( 3 - 4 - 5\) right triangle ar... |
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| 474 |
AMC 12 2006 B Q12 |
The parabola \( y = ax^2 + bx + c\) has vertex \( ... |
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| 475 |
AMC 12 2006 B Q18 |
An object in the plane moves from one lattice poin... |
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| 476 |
AMC 12 2002 A Q20 |
Suppose that \( a\) and \( b\) are digits, not bot... |
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| 477 |
AMC 12 2002 P Q11 |
Let \(t_n=\dfrac{n(n+1)}2\) be the \(n\)th triangu... |
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| 478 |
AMC 12 1998 A Q4 |
Define \([a,b,c]\) to mean \(\frac{a+b}{c},\) wher... |
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| 479 |
AMC 12 1998 A Q8 |
A square \( ABCD\) with sides of length 1 is divid... |
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| 480 |
AMC 12 1998 A Q22 |
What is the value of the expression
\[ \frac {1}{... |
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