| 2781 |
AIME 1988 I Q1 |
One commercially available ten-button lock may be ... |
1500.00 |
| 2782 |
AIME 1988 I Q2 |
For any positive integer \(k\), let \(f_1(k)\) den... |
1500.00 |
| 2783 |
AIME 1988 I Q3 |
Find \((\log_2 x)^2\) if \(\log_2 (\log_8 x) = \lo... |
1500.00 |
| 2784 |
AIME 1988 I Q5 |
Let \(m/n\), in lowest terms, be the probability t... |
1500.00 |
| 2785 |
AIME 1988 I Q6 |
It is possible to place positive integers into the... |
1500.00 |
| 2786 |
AIME 1988 I Q7 |
In triangle \(ABC\), \(\tan \angle CAB = 22/7\), a... |
1500.00 |
| 2787 |
AIME 1988 I Q8 |
The function \(f\), defined on the set of ordered ... |
1500.00 |
| 2788 |
AIME 1988 I Q9 |
Find the smallest positive integer whose cube ends... |
1500.00 |
| 2789 |
AIME 1988 I Q11 |
Let \(w_1, w_2, \dots, w_n\) be complex numbers. ... |
1500.00 |
| 2790 |
AIME 1988 I Q12 |
Let \(P\) be an interior point of triangle \(ABC\)... |
1500.00 |
| 2791 |
AIME 1988 I Q13 |
Find \(a\) if \(a\) and \(b\) are integers such th... |
1500.00 |
| 2792 |
AIME 1988 I Q14 |
Let \(C\) be the graph of \(xy = 1\), and denote b... |
1500.00 |
| 2793 |
AIME 1988 I Q15 |
In an office at various times during the day, the ... |
1500.00 |
| 2794 |
AIME 2016 I Q1 |
For \(-1 < r < 1\), let \(S(r)\) denote the sum of... |
1500.00 |
| 2795 |
AIME 2016 I Q3 |
A regular icosahedron is a \(20\)-faced solid wher... |
1500.00 |
| 2796 |
AIME 2016 I Q4 |
A right prism with height \(h\) has bases that are... |
1500.00 |
| 2797 |
AIME 2016 I Q5 |
Anh read a book. On the first day she read \(n\) p... |
1500.00 |
| 2798 |
AIME 2016 I Q6 |
In \(\triangle ABC\) let \(I\) be the center of th... |
1500.00 |
| 2799 |
AIME 2016 I Q7 |
For integers \(a\) and \(b\) consider the complex ... |
1500.00 |
| 2800 |
AIME 2016 I Q8 |
For a permutation \(p = (a_1,a_2,\ldots,a_9)\) of ... |
1500.00 |