| 2681 |
AIME 2019 II Q2 |
Lily pads \(1,2,3,\ldots\) lie in a row on a pond.... |
1500.00 |
| 2682 |
AIME 2019 II Q4 |
A standard six-sided fair die is rolled four times... |
1500.00 |
| 2683 |
AIME 2019 II Q5 |
Four ambassadors and one advisor for each of them ... |
1500.00 |
| 2684 |
AIME 2019 II Q6 |
In a Martian civilization, all logarithms whose ba... |
1500.00 |
| 2685 |
AIME 2019 II Q7 |
Triangle \(ABC\) has side lengths \(AB=120\), \(BC... |
1500.00 |
| 2686 |
AIME 2019 II Q9 |
Call a positive integer \(n\) \(k\)-pretty if \(n\... |
1500.00 |
| 2687 |
AIME 2019 II Q10 |
There is a unique angle \(\theta\) between \(0^{\c... |
1500.00 |
| 2688 |
AIME 2019 II Q11 |
Triangle \(ABC\) has side lengths \(AB=7, BC=8, \)... |
1500.00 |
| 2689 |
AIME 2019 II Q12 |
For \(n \ge 1\) call a finite sequence \((a_1, a_2... |
1500.00 |
| 2690 |
AIME 2019 II Q13 |
Regular octagon \(A_1A_2A_3A_4A_5A_6A_7A_8\) is in... |
1500.00 |
| 2691 |
AIME 2019 II Q14 |
Find the sum of all positive integers \(n\) such t... |
1500.00 |
| 2692 |
AIME 2019 II Q15 |
In acute triangle \(ABC\) points \(P\) and \(Q\) a... |
1500.00 |
| 2693 |
AIME 2003 I Q1 |
Given that
\[ \frac{((3!)!)!}{3!} = k \cdot n!, \... |
1500.00 |
| 2694 |
AIME 2003 I Q2 |
One hundred concentric circles with radii \(1, 2, ... |
1500.00 |
| 2695 |
AIME 2003 I Q3 |
Let the set \(\mathcal{S} = \{8, 5, 1, 13, 34, 3, ... |
1500.00 |
| 2696 |
AIME 2003 I Q4 |
Given that \(\log_{10} \sin x + \log_{10} \cos x =... |
1500.00 |
| 2697 |
AIME 2003 I Q5 |
Consider the set of points that are inside or with... |
1500.00 |
| 2698 |
AIME 2003 I Q7 |
Point \(B\) is on \(\overline{AC}\) with \(AB = 9\... |
1500.00 |
| 2699 |
AIME 2003 I Q8 |
In an increasing sequence of four positive integer... |
1500.00 |
| 2700 |
AIME 2003 I Q9 |
An integer between 1000 and 9999, inclusive, is ca... |
1500.00 |