| 2741 |
AIME 1998 I Q12 |
Let \(ABC\) be equilateral, and \(D, E,\) and \(F\... |
1500.00 |
| 2742 |
AIME 1998 I Q13 |
If \(\{a_1,a_2,a_3,\ldots,a_n\}\) is a set of real... |
1500.00 |
| 2743 |
AIME 1998 I Q14 |
An \(m\times n\times p\) rectangular box has half ... |
1500.00 |
| 2744 |
AIME 1998 I Q15 |
Define a domino to be an ordered pair of distinct ... |
1500.00 |
| 2745 |
AIME 1990 I Q1 |
The increasing sequence \(2,3,5,6,7,10,11,\ldots\)... |
1500.00 |
| 2746 |
AIME 1990 I Q3 |
Let \( P_1\) be a regular \( r\)-gon and \( P_2\) ... |
1500.00 |
| 2747 |
AIME 1990 I Q4 |
Find the positive solution to \[ \frac 1{x^2-10x-2... |
1500.00 |
| 2748 |
AIME 1990 I Q5 |
Let \(n\) be the smallest positive integer that is... |
1500.00 |
| 2749 |
AIME 1990 I Q6 |
A biologist wants to calculate the number of fish ... |
1500.00 |
| 2750 |
AIME 1990 I Q7 |
A triangle has vertices \(P=(-8,5)\), \(Q=(-15,-19... |
1500.00 |
| 2751 |
AIME 1990 I Q8 |
In a shooting match, eight clay targets are arrang... |
1500.00 |
| 2752 |
AIME 1990 I Q9 |
A fair coin is to be tossed \(10\) times. Let \(i/... |
1500.00 |
| 2753 |
AIME 1990 I Q10 |
The sets \(A = \{z : z^{18} = 1\}\) and \(B = \{w ... |
1500.00 |
| 2754 |
AIME 1990 I Q11 |
Someone observed that \(6! = 8 \cdot 9 \cdot 10\).... |
1500.00 |
| 2755 |
AIME 1990 I Q12 |
A regular 12-gon is inscribed in a circle of radiu... |
1500.00 |
| 2756 |
AIME 1990 I Q13 |
Let \(T = \{9^k : k \ \text{is an integer}, 0 \le ... |
1500.00 |
| 2757 |
AIME 1990 I Q14 |
The rectangle \(ABCD\) below has dimensions \(AB =... |
1500.00 |
| 2758 |
AIME 1988 I Q1 |
One commercially available ten-button lock may be ... |
1500.00 |
| 2759 |
AIME 1988 I Q2 |
For any positive integer \(k\), let \(f_1(k)\) den... |
1500.00 |
| 2760 |
AIME 1988 I Q3 |
Find \((\log_2 x)^2\) if \(\log_2 (\log_8 x) = \lo... |
1500.00 |