| 2641 |
AIME 1986 I Q13 |
In a sequence of coin tosses, one can keep a recor... |
1500.00 |
| 2642 |
AIME 1986 I Q14 |
The shortest distances between an interior diagona... |
1500.00 |
| 2643 |
AIME 1986 I Q15 |
Let triangle \(ABC\) be a right triangle in the xy... |
1500.00 |
| 2644 |
AIME 2001 I Q1 |
Find the sum of all positive two-digit integers th... |
1500.00 |
| 2645 |
AIME 2001 I Q2 |
A finite set \(\mathcal{S}\) of distinct real numb... |
1500.00 |
| 2646 |
AIME 2001 I Q3 |
Find the sum of the roots, real and non-real, of t... |
1500.00 |
| 2647 |
AIME 2001 I Q4 |
In triangle \(ABC\), angles \(A\) and \(B\) measur... |
1500.00 |
| 2648 |
AIME 2001 I Q7 |
Triangle \(ABC\) has \(AB=21\), \(AC=22\), and \(B... |
1500.00 |
| 2649 |
AIME 2001 I Q8 |
Call a positive integer \(N\) a \(\textit{7-10 dou... |
1500.00 |
| 2650 |
AIME 2001 I Q9 |
In triangle \(ABC\), \(AB=13,\) \(BC=15\) and \(CA... |
1500.00 |
| 2651 |
AIME 2001 I Q10 |
Let \(S\) be the set of points whose coordinates \... |
1500.00 |
| 2652 |
AIME 2001 I Q12 |
A sphere is inscribed in the tetrahedron whose ver... |
1500.00 |
| 2653 |
AIME 2001 I Q13 |
In a certain circle, the chord of a \(d\)-degree a... |
1500.00 |
| 2654 |
AIME 2001 I Q15 |
The numbers 1, 2, 3, 4, 5, 6, 7, and 8 are randoml... |
1500.00 |
| 2655 |
AIME 2001 II Q3 |
Given that
\begin{align*}
x_{1}&=211,\\
x_{2}&=3... |
1500.00 |
| 2656 |
AIME 2001 II Q5 |
A set of positive numbers has the \(\text{triangle... |
1500.00 |
| 2657 |
AIME 2001 II Q6 |
Square \(ABCD\) is inscribed in a circle. Square \... |
1500.00 |
| 2658 |
AIME 2001 II Q7 |
Let \(\triangle{PQR}\) be a right triangle with \(... |
1500.00 |
| 2659 |
AIME 2001 II Q8 |
A certain function \(f\) has the properties that \... |
1500.00 |
| 2660 |
AIME 2001 II Q9 |
Each unit square of a 3-by-3 unit-square grid is t... |
1500.00 |