| 2661 |
AIME 1986 I Q9 |
In \(\triangle ABC\), \(AB= 425\), \(BC=450\), and... |
1500.00 |
| 2662 |
AIME 1986 I Q11 |
The polynomial \(1-x+x^2-x^3+\cdots+x^{16}-x^{17}\... |
1500.00 |
| 2663 |
AIME 1986 I Q12 |
Let the sum of a set of numbers be the sum of its ... |
1500.00 |
| 2664 |
AIME 1986 I Q13 |
In a sequence of coin tosses, one can keep a recor... |
1500.00 |
| 2665 |
AIME 1986 I Q14 |
The shortest distances between an interior diagona... |
1500.00 |
| 2666 |
AIME 1986 I Q15 |
Let triangle \(ABC\) be a right triangle in the xy... |
1500.00 |
| 2667 |
AIME 2001 I Q1 |
Find the sum of all positive two-digit integers th... |
1500.00 |
| 2668 |
AIME 2001 I Q2 |
A finite set \(\mathcal{S}\) of distinct real numb... |
1500.00 |
| 2669 |
AIME 2001 I Q3 |
Find the sum of the roots, real and non-real, of t... |
1500.00 |
| 2670 |
AIME 2001 I Q4 |
In triangle \(ABC\), angles \(A\) and \(B\) measur... |
1500.00 |
| 2671 |
AIME 2001 I Q7 |
Triangle \(ABC\) has \(AB=21\), \(AC=22\), and \(B... |
1500.00 |
| 2672 |
AIME 2001 I Q8 |
Call a positive integer \(N\) a \(\textit{7-10 dou... |
1500.00 |
| 2673 |
AIME 2001 I Q9 |
In triangle \(ABC\), \(AB=13,\) \(BC=15\) and \(CA... |
1500.00 |
| 2674 |
AIME 2001 I Q10 |
Let \(S\) be the set of points whose coordinates \... |
1500.00 |
| 2675 |
AIME 2001 I Q12 |
A sphere is inscribed in the tetrahedron whose ver... |
1500.00 |
| 2676 |
AIME 2001 I Q13 |
In a certain circle, the chord of a \(d\)-degree a... |
1500.00 |
| 2677 |
AIME 2001 I Q15 |
The numbers 1, 2, 3, 4, 5, 6, 7, and 8 are randoml... |
1500.00 |
| 2678 |
AIME 2001 II Q3 |
Given that
\begin{align*}
x_{1}&=211,\\
x_{2}&=3... |
1500.00 |
| 2679 |
AIME 2001 II Q5 |
A set of positive numbers has the \(\text{triangle... |
1500.00 |
| 2680 |
AIME 2001 II Q6 |
Square \(ABCD\) is inscribed in a circle. Square \... |
1500.00 |