| 2821 |
AIME 2012 I Q6 |
The complex numbers \(z\) and \(w\) satisfy \(z^{1... |
1500.00 |
| 2822 |
AIME 2012 I Q7 |
At each of the sixteen circles in the network belo... |
1500.00 |
| 2823 |
AIME 2012 I Q8 |
Cube \(ABCDEFGH\), labeled as shown below, has edg... |
1500.00 |
| 2824 |
AIME 2012 I Q11 |
A frog begins at \(P_0 = (0,0)\) and makes a seque... |
1500.00 |
| 2825 |
AIME 2012 I Q13 |
Three concentric circles have radii \(3\), \(4\), ... |
1500.00 |
| 2826 |
AIME 2012 I Q15 |
There are \(n\) mathematicians seated around a cir... |
1500.00 |
| 2827 |
AIME 2012 II Q1 |
Find the number of ordered pairs of positive integ... |
1500.00 |
| 2828 |
AIME 2012 II Q2 |
Two geometric sequences \( a_1,a_2,a_3,\ldots\) an... |
1500.00 |
| 2829 |
AIME 2012 II Q3 |
At a certain university, the division of mathemati... |
1500.00 |
| 2830 |
AIME 2012 II Q4 |
Ana, Bob, and Cao bike at constant rates of \(8.6\... |
1500.00 |
| 2831 |
AIME 2012 II Q7 |
Let \(S\) be the increasing sequence of positive i... |
1500.00 |
| 2832 |
AIME 2012 II Q8 |
The complex numbers \(z\) and \(w\) satisfy the sy... |
1500.00 |
| 2833 |
AIME 2012 II Q9 |
Let \(x\) and \(y\) be real numbers such that \(\f... |
1500.00 |
| 2834 |
AIME 2012 II Q11 |
Let \(f_1(x) = \frac{2}{3}-\frac{3}{3x+1}\), and f... |
1500.00 |
| 2835 |
AIME 2012 II Q12 |
For a positive integer \(p\), define the positive ... |
1500.00 |
| 2836 |
AIME 2012 II Q13 |
Equilateral \(\triangle ABC\) has side length \(\s... |
1500.00 |
| 2837 |
AIME 2012 II Q14 |
In a group of nine people each person shakes hands... |
1500.00 |
| 2838 |
AIME 2012 II Q15 |
Triangle \(ABC\) is inscribed in circle \(\omega\)... |
1500.00 |
| 2839 |
AIME 2022 I Q1 |
Quadratic polynomials \(P(x)\) and \(Q(x)\) have l... |
1500.00 |
| 2840 |
AIME 2022 I Q3 |
In isosceles trapezoid \(ABCD\), parallel bases \(... |
1500.00 |