| 2581 |
AIME 1985 I Q13 |
The numbers in the sequence 101, 104, 109, 116, \(... |
1500.00 |
| 2582 |
AIME 1985 I Q15 |
Three 12 cm \(\times\) 12 cm squares are each cut ... |
1500.00 |
| 2583 |
AIME 2000 I Q2 |
Let \(u\) and \(v\) be integers satisfying \(0<v<u... |
1500.00 |
| 2584 |
AIME 2000 I Q3 |
In the expansion of \((ax+b)^{2000},\) where \(a\)... |
1500.00 |
| 2585 |
AIME 2000 I Q4 |
The diagram shows a rectangle that has been dissec... |
1500.00 |
| 2586 |
AIME 2000 I Q5 |
Each of two boxes contains both black and white ma... |
1500.00 |
| 2587 |
AIME 2000 I Q6 |
For how many ordered pairs \((x,y)\) of integers i... |
1500.00 |
| 2588 |
AIME 2000 I Q7 |
Suppose that \(x,\) \(y,\) and \(z\) are three pos... |
1500.00 |
| 2589 |
AIME 2000 I Q10 |
A sequence of numbers \(x_{1},x_{2},x_{3},\ldots,x... |
1500.00 |
| 2590 |
AIME 2000 I Q11 |
Let \(S\) be the sum of all numbers of the form \(... |
1500.00 |
| 2591 |
AIME 2000 I Q12 |
Given a function \(f\) for which
\[f(x)=f(398-x)=... |
1500.00 |
| 2592 |
AIME 2000 I Q13 |
In the middle of a vast prairie, a firetruck is st... |
1500.00 |
| 2593 |
AIME 2000 I Q15 |
A stack of \(2000\) cards is labelled with the int... |
1500.00 |
| 2594 |
AIME 2000 II Q1 |
The number \[ \frac 2{\log_4{2000^6}}+\frac 3{\log... |
1500.00 |
| 2595 |
AIME 2000 II Q3 |
A deck of forty cards consists of four 1's, four 2... |
1500.00 |
| 2596 |
AIME 2000 II Q4 |
What is the smallest positive integer with six pos... |
1500.00 |
| 2597 |
AIME 2000 II Q5 |
Given eight distinguishable rings, let \(n\) be th... |
1500.00 |
| 2598 |
AIME 2000 II Q7 |
Given that \[ \frac 1{2!17!}+\frac 1{3!16!}+\frac ... |
1500.00 |
| 2599 |
AIME 2000 II Q8 |
In trapezoid \(ABCD,\) leg \(\overline{BC}\) is pe... |
1500.00 |
| 2600 |
AIME 2000 II Q9 |
Given that \(z\) is a complex number such that \(z... |
1500.00 |