| 1721 |
AMC 12 2007 B Q21 |
The first \( 2007\) positive integers are each wri... |
1500.00 |
| 1722 |
AMC 12 2011 A Q6 |
Two tangents to a circle are drawn from a point \(... |
1500.00 |
| 1723 |
AMC 12 2011 A Q11 |
A frog located at \((x,y)\), with both \(x\) and \... |
1500.00 |
| 1724 |
AMC 12 2011 A Q14 |
A segment through the focus \(F\) of a parabola wi... |
1500.00 |
| 1725 |
AMC 12 2011 A Q17 |
Let \(f\left(x\right)=10^{10x}, g\left(x\right)=\l... |
1500.00 |
| 1726 |
AMC 12 2011 A Q20 |
Triangle \(ABC\) has \(AB=13\), \(BC=14\), and \(A... |
1500.00 |
| 1727 |
AMC 12 2011 A Q24 |
Let \(P(z) = z^8 + (4\sqrt{3} + 6) z^4 - (4\sqrt{3... |
1500.00 |
| 1728 |
AMC 12 2011 A Q25 |
For every \(m\) and \(k\) integers with \(k\) odd,... |
1500.00 |
| 1729 |
AMC 12 2011 B Q2 |
There are 5 coins placed flat on a table according... |
1500.00 |
| 1730 |
AMC 12 2011 B Q9 |
At a twins and triplets convention, there were \(9... |
1500.00 |
| 1731 |
AMC 12 2011 B Q13 |
Triangle \(ABC\) has side-lengths \(AB=12\), \(BC=... |
1500.00 |
| 1732 |
AMC 12 2011 B Q14 |
Suppose \(a\) and \(b\) are single-digit positive ... |
1500.00 |
| 1733 |
AMC 12 2011 B Q15 |
The circular base of a hemisphere of radius \(2\) ... |
1500.00 |
| 1734 |
AMC 12 2011 B Q19 |
At a competition with \(N\) players, the number of... |
1500.00 |
| 1735 |
AMC 12 2011 B Q21 |
Let \(f_1(x)=\sqrt{1-x}\), and for integers \(n \g... |
1500.00 |
| 1736 |
AMC 12 2011 B Q23 |
Let \(f(z)=\frac{z+a}{z+b}\) and \(g(z)=f(f(z))\),... |
1500.00 |
| 1737 |
AMC 12 2011 B Q24 |
Consider all quadrilaterals \(ABCD\) such that \(A... |
1500.00 |
| 1738 |
AMC 12 2003 A Q9 |
A set \( S\) of points in the \( xy\)-plane is sym... |
1500.00 |
| 1739 |
AMC 12 2003 A Q14 |
Points \( K\), \( L\), \( M\), and \( N\) lie in t... |
1500.00 |
| 1740 |
AMC 12 2003 A Q16 |
A point \( P\) is chosen at random in the interior... |
1500.00 |