2741 |
AIME 2003 II Q14 |
Let \(A=(0,0)\) and \(B=(b,2)\) be points on the c... |
1500.00 |
2742 |
AIME 2003 II Q15 |
Let
\[P(x)=24x^{24}+\sum_{j=1}^{23}(24-j)(x^{24-j... |
1500.00 |
2743 |
AIME 1992 I Q1 |
Find the sum of all positive rational numbers that... |
1500.00 |
2744 |
AIME 1992 I Q2 |
A positive integer is called ascending if, in its ... |
1500.00 |
2745 |
AIME 1992 I Q4 |
In Pascal's Triangle, each entry is the sum of the... |
1500.00 |
2746 |
AIME 1992 I Q5 |
Let \(S\) be the set of all rational numbers \(r\)... |
1500.00 |
2747 |
AIME 1992 I Q6 |
For how many pairs of consecutive integers in \(\{... |
1500.00 |
2748 |
AIME 1992 I Q7 |
Faces \(ABC\) and \(BCD\) of tetrahedron \(ABCD\) ... |
1500.00 |
2749 |
AIME 1992 I Q8 |
For any sequence of real numbers \(A=(a_1,a_2,a_3,... |
1500.00 |
2750 |
AIME 1992 I Q9 |
Trapezoid \(ABCD\) has sides \(AB=92\), \(BC=50\),... |
1500.00 |
2751 |
AIME 1992 I Q12 |
In a game of Chomp, two players alternately take b... |
1500.00 |
2752 |
AIME 1992 I Q13 |
Triangle \(ABC\) has \(AB=9\) and \(BC: AC=40: 41\... |
1500.00 |
2753 |
AIME 1992 I Q14 |
In triangle \(ABC\), \(A'\), \(B'\), and \(C'\) ar... |
1500.00 |
2754 |
AIME 1992 I Q15 |
Define a positive integer \( n\) to be a factorial... |
1500.00 |
2755 |
AIME 1998 I Q2 |
Find the number of ordered pairs \((x,y)\) of posi... |
1500.00 |
2756 |
AIME 1998 I Q3 |
The graph of \(y^2+2xy+40|x|=400\) partitions the ... |
1500.00 |
2757 |
AIME 1998 I Q5 |
Given that \(A_k=\frac{k(k-1)}2\cos\frac{k(k-1)\pi... |
1500.00 |
2758 |
AIME 1998 I Q6 |
Let \(ABCD\) be a parallelogram. Extend \(\overli... |
1500.00 |
2759 |
AIME 1998 I Q7 |
Let \(n\) be the number of ordered quadruples \((x... |
1500.00 |
2760 |
AIME 1998 I Q8 |
Except for the first two terms, each term of the s... |
1500.00 |