| 2561 |
AIME 2008 II Q15 |
Find the largest integer \( n\) satisfying the fol... |
1500.00 |
| 2562 |
AIME 1993 I Q3 |
The table below displays some of the results of la... |
1500.00 |
| 2563 |
AIME 1993 I Q4 |
How many ordered four-tuples of integers \((a,b,c,... |
1500.00 |
| 2564 |
AIME 1993 I Q5 |
Let \(P_0(x) = x^3 + 313x^2 - 77x - 8\). For inte... |
1500.00 |
| 2565 |
AIME 1993 I Q6 |
What is the smallest positive integer than can be ... |
1500.00 |
| 2566 |
AIME 1993 I Q7 |
Three numbers, \(a_1\), \(a_2\), \(a_3\), are draw... |
1500.00 |
| 2567 |
AIME 1993 I Q9 |
Two thousand points are given on a circle. Label ... |
1500.00 |
| 2568 |
AIME 1993 I Q10 |
Euler's formula states that for a convex polyhedro... |
1500.00 |
| 2569 |
AIME 1993 I Q11 |
Alfred and Bonnie play a game in which they take t... |
1500.00 |
| 2570 |
AIME 1993 I Q12 |
The vertices of \(\triangle ABC\) are \(A = (0,0)\... |
1500.00 |
| 2571 |
AIME 1993 I Q14 |
A rectangle that is inscribed in a larger rectangl... |
1500.00 |
| 2572 |
AIME 1993 I Q15 |
Let \(\overline{CH}\) be an altitude of \(\triangl... |
1500.00 |
| 2573 |
AIME 1985 I Q1 |
Let \(x_1 = 97\), and for \(n > 1\) let \(x_n = \f... |
1500.00 |
| 2574 |
AIME 1985 I Q2 |
When a right triangle is rotated about one leg, th... |
1500.00 |
| 2575 |
AIME 1985 I Q6 |
As shown in the figure, triangle \(ABC\) is divide... |
1500.00 |
| 2576 |
AIME 1985 I Q7 |
Assume that \(a\), \(b\), \(c\), and \(d\) are pos... |
1500.00 |
| 2577 |
AIME 1985 I Q8 |
The sum of the following seven numbers is exactly ... |
1500.00 |
| 2578 |
AIME 1985 I Q9 |
In a circle, parallel chords of lengths 2, 3, and ... |
1500.00 |
| 2579 |
AIME 1985 I Q11 |
An ellipse has foci at \((9,20)\) and \((49,55)\) ... |
1500.00 |
| 2580 |
AIME 1985 I Q12 |
Let \(A\), \(B\), \(C\), and \(D\) be the vertices... |
1500.00 |