| 2281 |
AIME 2002 II Q5 |
Find the sum of all positive integers \(a=2^{n}3^{... |
1500.00 |
| 2282 |
AIME 2002 II Q7 |
It is known that, for all positive integers \(k,\)... |
1500.00 |
| 2283 |
AIME 2002 II Q8 |
Find the least positive integer \(k\) for which th... |
1500.00 |
| 2284 |
AIME 2002 II Q9 |
Let \(\mathcal{S}\) be the set \(\{1,2,3,\ldots,10... |
1500.00 |
| 2285 |
AIME 2002 II Q10 |
While finding the sine of a certain angle, an abse... |
1500.00 |
| 2286 |
AIME 2002 II Q11 |
Two distinct, real, infinite geometric series each... |
1500.00 |
| 2287 |
AIME 2002 II Q12 |
A basketball player has a constant probability of ... |
1500.00 |
| 2288 |
AIME 2002 II Q13 |
In triangle \(ABC,\) point \(D\) is on \(\overline... |
1500.00 |
| 2289 |
AIME 2002 II Q14 |
The perimeter of triangle \(APM\) is \(152,\) and ... |
1500.00 |
| 2290 |
AIME 2002 II Q15 |
Circles \(\mathcal{C}_{1}\) and \(\mathcal{C}_{2}\... |
1500.00 |
| 2291 |
AIME 2007 I Q1 |
How many positive perfect squares less than \(10^{... |
1500.00 |
| 2292 |
AIME 2007 I Q2 |
A 100 foot long moving walkway moves at a constant... |
1500.00 |
| 2293 |
AIME 2007 I Q3 |
The complex number \(z\) is equal to \(9+bi\), whe... |
1500.00 |
| 2294 |
AIME 2007 I Q4 |
Three planets revolve about a star in coplanar cir... |
1500.00 |
| 2295 |
AIME 2007 I Q6 |
A frog is placed at the origin on a number line, a... |
1500.00 |
| 2296 |
AIME 2007 I Q7 |
Let \[N= \sum_{k=1}^{1000}k(\lceil \log_{\sqrt{2}}... |
1500.00 |
| 2297 |
AIME 2007 I Q8 |
The polynomial \(P(x)\) is cubic. What is the lar... |
1500.00 |
| 2298 |
AIME 2007 I Q9 |
In right triangle \(ABC\) with right angle \(C\), ... |
1500.00 |
| 2299 |
AIME 2007 I Q10 |
In the \( 6\times4\) grid shown, \( 12\) of the \(... |
1500.00 |
| 2300 |
AIME 2007 I Q11 |
For each positive integer \(p\), let \(b(p)\) deno... |
1500.00 |