| 2321 |
AIME 2011 I Q8 |
In triangle \(ABC\), \(BC = 23\), \(CA = 27\), and... |
1500.00 |
| 2322 |
AIME 2011 I Q10 |
The probability that a set of three distinct verti... |
1500.00 |
| 2323 |
AIME 2011 I Q11 |
Let \(R\) be the set of all possible remainders wh... |
1500.00 |
| 2324 |
AIME 2011 I Q12 |
Six men and some number of women stand in a line i... |
1500.00 |
| 2325 |
AIME 2011 I Q13 |
A cube with side length 10 is suspended above a pl... |
1500.00 |
| 2326 |
AIME 2011 I Q14 |
Let \(A_1 A_2 A_3 A_4 A_5 A_6 A_7 A_8\) be a regul... |
1500.00 |
| 2327 |
AIME 2011 I Q15 |
For some integer \(m\), the polynomial \(x^3-2011x... |
1500.00 |
| 2328 |
AIME 2011 II Q1 |
Gary purchased a large beverage, but drank only \(... |
1500.00 |
| 2329 |
AIME 2011 II Q4 |
In triangle \(ABC\), \(AB=\frac{20}{11} AC\). The ... |
1500.00 |
| 2330 |
AIME 2011 II Q5 |
The sum of the first 2011 terms of a geometric ser... |
1500.00 |
| 2331 |
AIME 2011 II Q6 |
Define an ordered quadruple of integers \((a, b, c... |
1500.00 |
| 2332 |
AIME 2011 II Q7 |
Ed has five identical green marbles and a large su... |
1500.00 |
| 2333 |
AIME 2011 II Q10 |
A circle with center \(O\) has radius 25. Chord \(... |
1500.00 |
| 2334 |
AIME 2011 II Q11 |
Let \(M_n\) be the \(n\times n\) matrix with entri... |
1500.00 |
| 2335 |
AIME 2011 II Q12 |
Nine delegates, three each from three different co... |
1500.00 |
| 2336 |
AIME 2011 II Q13 |
Point \(P\) lies on the diagonal \(AC\) of square ... |
1500.00 |
| 2337 |
AIME 2011 II Q15 |
Let \(P(x)=x^2-3x-9\). A real number \(x\) is chos... |
1500.00 |
| 2338 |
AIME 1989 I Q2 |
Ten points are marked on a circle. How many distin... |
1500.00 |
| 2339 |
AIME 1989 I Q3 |
Suppose \(n\) is a positive integer and \(d\) is a... |
1500.00 |
| 2340 |
AIME 1989 I Q4 |
If \(a<b<c<d<e\) are consecutive positive integers... |
1500.00 |