| 2581 |
AIME 2008 II Q11 |
In triangle \( ABC\), \( AB = AC = 100\), and \( B... |
1500.00 |
| 2582 |
AIME 2008 II Q12 |
There are two distinguishable flagpoles, and there... |
1500.00 |
| 2583 |
AIME 2008 II Q14 |
Let \( a\) and \( b\) be positive real numbers wit... |
1500.00 |
| 2584 |
AIME 2008 II Q15 |
Find the largest integer \( n\) satisfying the fol... |
1500.00 |
| 2585 |
AIME 1993 I Q3 |
The table below displays some of the results of la... |
1500.00 |
| 2586 |
AIME 1993 I Q4 |
How many ordered four-tuples of integers \((a,b,c,... |
1500.00 |
| 2587 |
AIME 1993 I Q5 |
Let \(P_0(x) = x^3 + 313x^2 - 77x - 8\). For inte... |
1500.00 |
| 2588 |
AIME 1993 I Q6 |
What is the smallest positive integer than can be ... |
1500.00 |
| 2589 |
AIME 1993 I Q7 |
Three numbers, \(a_1\), \(a_2\), \(a_3\), are draw... |
1500.00 |
| 2590 |
AIME 1993 I Q9 |
Two thousand points are given on a circle. Label ... |
1500.00 |
| 2591 |
AIME 1993 I Q10 |
Euler's formula states that for a convex polyhedro... |
1500.00 |
| 2592 |
AIME 1993 I Q11 |
Alfred and Bonnie play a game in which they take t... |
1500.00 |
| 2593 |
AIME 1993 I Q12 |
The vertices of \(\triangle ABC\) are \(A = (0,0)\... |
1500.00 |
| 2594 |
AIME 1993 I Q14 |
A rectangle that is inscribed in a larger rectangl... |
1500.00 |
| 2595 |
AIME 1993 I Q15 |
Let \(\overline{CH}\) be an altitude of \(\triangl... |
1500.00 |
| 2596 |
AIME 1985 I Q1 |
Let \(x_1 = 97\), and for \(n > 1\) let \(x_n = \f... |
1500.00 |
| 2597 |
AIME 1985 I Q2 |
When a right triangle is rotated about one leg, th... |
1500.00 |
| 2598 |
AIME 1985 I Q6 |
As shown in the figure, triangle \(ABC\) is divide... |
1500.00 |
| 2599 |
AIME 1985 I Q7 |
Assume that \(a\), \(b\), \(c\), and \(d\) are pos... |
1500.00 |
| 2600 |
AIME 1985 I Q8 |
The sum of the following seven numbers is exactly ... |
1500.00 |