| 2601 |
AIME 1985 I Q9 |
In a circle, parallel chords of lengths 2, 3, and ... |
1500.00 |
| 2602 |
AIME 1985 I Q11 |
An ellipse has foci at \((9,20)\) and \((49,55)\) ... |
1500.00 |
| 2603 |
AIME 1985 I Q12 |
Let \(A\), \(B\), \(C\), and \(D\) be the vertices... |
1500.00 |
| 2604 |
AIME 1985 I Q13 |
The numbers in the sequence 101, 104, 109, 116, \(... |
1500.00 |
| 2605 |
AIME 1985 I Q15 |
Three 12 cm \(\times\) 12 cm squares are each cut ... |
1500.00 |
| 2606 |
AIME 2000 I Q2 |
Let \(u\) and \(v\) be integers satisfying \(0<v<u... |
1500.00 |
| 2607 |
AIME 2000 I Q3 |
In the expansion of \((ax+b)^{2000},\) where \(a\)... |
1500.00 |
| 2608 |
AIME 2000 I Q4 |
The diagram shows a rectangle that has been dissec... |
1500.00 |
| 2609 |
AIME 2000 I Q5 |
Each of two boxes contains both black and white ma... |
1500.00 |
| 2610 |
AIME 2000 I Q6 |
For how many ordered pairs \((x,y)\) of integers i... |
1500.00 |
| 2611 |
AIME 2000 I Q7 |
Suppose that \(x,\) \(y,\) and \(z\) are three pos... |
1500.00 |
| 2612 |
AIME 2000 I Q10 |
A sequence of numbers \(x_{1},x_{2},x_{3},\ldots,x... |
1500.00 |
| 2613 |
AIME 2000 I Q11 |
Let \(S\) be the sum of all numbers of the form \(... |
1500.00 |
| 2614 |
AIME 2000 I Q12 |
Given a function \(f\) for which
\[f(x)=f(398-x)=... |
1500.00 |
| 2615 |
AIME 2000 I Q13 |
In the middle of a vast prairie, a firetruck is st... |
1500.00 |
| 2616 |
AIME 2000 I Q15 |
A stack of \(2000\) cards is labelled with the int... |
1500.00 |
| 2617 |
AIME 2000 II Q1 |
The number \[ \frac 2{\log_4{2000^6}}+\frac 3{\log... |
1500.00 |
| 2618 |
AIME 2000 II Q3 |
A deck of forty cards consists of four 1's, four 2... |
1500.00 |
| 2619 |
AIME 2000 II Q4 |
What is the smallest positive integer with six pos... |
1500.00 |
| 2620 |
AIME 2000 II Q5 |
Given eight distinguishable rings, let \(n\) be th... |
1500.00 |