2701 |
AIME 2003 I Q10 |
Triangle \(ABC\) is isosceles with \(AC = BC\) and... |
1500.00 |
2702 |
AIME 2003 I Q11 |
An angle \(x\) is chosen at random from the interv... |
1500.00 |
2703 |
AIME 2003 I Q12 |
In convex quadrilateral \(ABCD\), \(\angle A \cong... |
1500.00 |
2704 |
AIME 2003 I Q13 |
Let \(N\) be the number of positive integers that ... |
1500.00 |
2705 |
AIME 2003 I Q15 |
In \(\triangle ABC\), \(AB = 360\), \(BC = 507\), ... |
1500.00 |
2706 |
AIME 2003 II Q1 |
The product \(N\) of three positive integers is \(... |
1500.00 |
2707 |
AIME 2003 II Q2 |
Let \(N\) be the greatest integer multiple of \(8,... |
1500.00 |
2708 |
AIME 2003 II Q3 |
Define a \(good~word\) as a sequence of letters th... |
1500.00 |
2709 |
AIME 2003 II Q4 |
In a regular tetrahedron the centers of the four f... |
1500.00 |
2710 |
AIME 2003 II Q5 |
A cylindrical log has diameter \( 12\) inches. A w... |
1500.00 |
2711 |
AIME 2003 II Q6 |
In triangle \(ABC,\) \(AB=13,\) \(BC=14,\) \(AC=15... |
1500.00 |
2712 |
AIME 2003 II Q7 |
Find the area of rhombus \(ABCD\) given that the r... |
1500.00 |
2713 |
AIME 2003 II Q8 |
Find the eighth term of the sequence \(1440,\) \(1... |
1500.00 |
2714 |
AIME 2003 II Q9 |
Consider the polynomials \(P(x)=x^{6}-x^{5}-x^{3}-... |
1500.00 |
2715 |
AIME 2003 II Q10 |
Two positive integers differ by \(60.\) The sum of... |
1500.00 |
2716 |
AIME 2003 II Q11 |
Triangle \(ABC\) is a right triangle with \(AC=7,\... |
1500.00 |
2717 |
AIME 2003 II Q13 |
A bug starts at a vertex of an equilateral triangl... |
1500.00 |
2718 |
AIME 2003 II Q14 |
Let \(A=(0,0)\) and \(B=(b,2)\) be points on the c... |
1500.00 |
2719 |
AIME 2003 II Q15 |
Let
\[P(x)=24x^{24}+\sum_{j=1}^{23}(24-j)(x^{24-j... |
1500.00 |
2720 |
AIME 1992 I Q1 |
Find the sum of all positive rational numbers that... |
1500.00 |