| 2541 |
AIME 2008 I Q7 |
Let \( S_i\) be the set of all integers \( n\) suc... |
1500.00 |
| 2542 |
AIME 2008 I Q8 |
Find the positive integer \( n\) such that \[\arct... |
1500.00 |
| 2543 |
AIME 2008 I Q9 |
Ten identical crates each of dimensions \( 3\) ft ... |
1500.00 |
| 2544 |
AIME 2008 I Q10 |
Let \( ABCD\) be an isosceles trapezoid with \( \o... |
1500.00 |
| 2545 |
AIME 2008 I Q11 |
Consider sequences that consist entirely of \( A\)... |
1500.00 |
| 2546 |
AIME 2008 I Q12 |
On a long straight stretch of one-way single-lane ... |
1500.00 |
| 2547 |
AIME 2008 I Q13 |
Let
\[ p(x,y) = a_0 + a_1x + a_2y + a_3x^2 + a_4x... |
1500.00 |
| 2548 |
AIME 2008 I Q14 |
Let \( \overline{AB}\) be a diameter of circle \( ... |
1500.00 |
| 2549 |
AIME 2008 II Q1 |
Let \( N=100^2+99^2-98^2-97^2+96^2+\cdots+4^2+3^2-... |
1500.00 |
| 2550 |
AIME 2008 II Q3 |
A block of cheese in the shape of a rectangular so... |
1500.00 |
| 2551 |
AIME 2008 II Q4 |
There exist \( r\) unique nonnegative integers \( ... |
1500.00 |
| 2552 |
AIME 2008 II Q5 |
In trapezoid \( ABCD\) with \( \overline{BC}\paral... |
1500.00 |
| 2553 |
AIME 2008 II Q6 |
The sequence \( \{a_n\}\) is defined by
\[ a_0 = ... |
1500.00 |
| 2554 |
AIME 2008 II Q7 |
Let \( r\), \( s\), and \( t\) be the three roots ... |
1500.00 |
| 2555 |
AIME 2008 II Q8 |
Let \( a=\pi/2008\). Find the smallest positive in... |
1500.00 |
| 2556 |
AIME 2008 II Q9 |
A particle is located on the coordinate plane at \... |
1500.00 |
| 2557 |
AIME 2008 II Q10 |
The diagram below shows a \( 4\times4\) rectangula... |
1500.00 |
| 2558 |
AIME 2008 II Q11 |
In triangle \( ABC\), \( AB = AC = 100\), and \( B... |
1500.00 |
| 2559 |
AIME 2008 II Q12 |
There are two distinguishable flagpoles, and there... |
1500.00 |
| 2560 |
AIME 2008 II Q14 |
Let \( a\) and \( b\) be positive real numbers wit... |
1500.00 |