| 2461 |
AIME 2010 I Q11 |
Let \( \mathcal{R}\) be the region consisting of t... |
1500.00 |
| 2462 |
AIME 2010 I Q12 |
Let \( M \ge 3\) be an integer and let \( S = \{3,... |
1500.00 |
| 2463 |
AIME 2010 I Q13 |
Rectangle \( ABCD\) and a semicircle with diameter... |
1500.00 |
| 2464 |
AIME 2010 I Q14 |
For each positive integer n, let \( f(n) = \sum_{k... |
1500.00 |
| 2465 |
AIME 2010 I Q15 |
In \( \triangle{ABC}\) with \( AB = 12\), \( BC = ... |
1500.00 |
| 2466 |
AIME 2010 II Q1 |
Let \( N\) be the greatest integer multiple of \( ... |
1500.00 |
| 2467 |
AIME 2010 II Q2 |
A point \( P\) is chosen at random in the interior... |
1500.00 |
| 2468 |
AIME 2010 II Q3 |
Let \( K\) be the product of all factors \( (b-a)\... |
1500.00 |
| 2469 |
AIME 2010 II Q4 |
Dave arrives at an airport which has twelve gates ... |
1500.00 |
| 2470 |
AIME 2010 II Q5 |
Positive numbers \( x\), \( y\), and \( z\) satisf... |
1500.00 |
| 2471 |
AIME 2010 II Q6 |
Find the smallest positive integer \( n\) with the... |
1500.00 |
| 2472 |
AIME 2010 II Q7 |
Let \( P(z) = z^3 + az^2 + bz + c\), where \( a\),... |
1500.00 |
| 2473 |
AIME 2010 II Q8 |
Let \( N\) be the number of ordered pairs of nonem... |
1500.00 |
| 2474 |
AIME 2010 II Q9 |
Let \( ABCDEF\) be a regular hexagon. Let \( G\), ... |
1500.00 |
| 2475 |
AIME 2010 II Q10 |
Find the number of second-degree polynomials \( f(... |
1500.00 |
| 2476 |
AIME 2010 II Q11 |
Define a T-grid to be a \( 3\times3\) matrix which... |
1500.00 |
| 2477 |
AIME 2010 II Q12 |
Two noncongruent integer-sided isosceles triangles... |
1500.00 |
| 2478 |
AIME 2010 II Q14 |
In right triangle \( ABC\) with right angle at \( ... |
1500.00 |
| 2479 |
AIME 2010 II Q15 |
In triangle \( ABC\), \( AC = 13, BC = 14,\) and \... |
1500.00 |
| 2480 |
AIME 2005 I Q1 |
Six circles form a ring with with each circle exte... |
1500.00 |