| 2481 |
AIME 2010 I Q8 |
For a real number \( a\), let \( \lfloor a \rfloor... |
1500.00 |
| 2482 |
AIME 2010 I Q9 |
Let \( (a,b,c)\) be the real solution of the syste... |
1500.00 |
| 2483 |
AIME 2010 I Q10 |
Let \( N\) be the number of ways to write \( 2010\... |
1500.00 |
| 2484 |
AIME 2010 I Q11 |
Let \( \mathcal{R}\) be the region consisting of t... |
1500.00 |
| 2485 |
AIME 2010 I Q12 |
Let \( M \ge 3\) be an integer and let \( S = \{3,... |
1500.00 |
| 2486 |
AIME 2010 I Q13 |
Rectangle \( ABCD\) and a semicircle with diameter... |
1500.00 |
| 2487 |
AIME 2010 I Q14 |
For each positive integer n, let \( f(n) = \sum_{k... |
1500.00 |
| 2488 |
AIME 2010 I Q15 |
In \( \triangle{ABC}\) with \( AB = 12\), \( BC = ... |
1500.00 |
| 2489 |
AIME 2010 II Q1 |
Let \( N\) be the greatest integer multiple of \( ... |
1500.00 |
| 2490 |
AIME 2010 II Q2 |
A point \( P\) is chosen at random in the interior... |
1500.00 |
| 2491 |
AIME 2010 II Q3 |
Let \( K\) be the product of all factors \( (b-a)\... |
1500.00 |
| 2492 |
AIME 2010 II Q4 |
Dave arrives at an airport which has twelve gates ... |
1500.00 |
| 2493 |
AIME 2010 II Q5 |
Positive numbers \( x\), \( y\), and \( z\) satisf... |
1500.00 |
| 2494 |
AIME 2010 II Q6 |
Find the smallest positive integer \( n\) with the... |
1500.00 |
| 2495 |
AIME 2010 II Q7 |
Let \( P(z) = z^3 + az^2 + bz + c\), where \( a\),... |
1500.00 |
| 2496 |
AIME 2010 II Q8 |
Let \( N\) be the number of ordered pairs of nonem... |
1500.00 |
| 2497 |
AIME 2010 II Q9 |
Let \( ABCDEF\) be a regular hexagon. Let \( G\), ... |
1500.00 |
| 2498 |
AIME 2010 II Q10 |
Find the number of second-degree polynomials \( f(... |
1500.00 |
| 2499 |
AIME 2010 II Q11 |
Define a T-grid to be a \( 3\times3\) matrix which... |
1500.00 |
| 2500 |
AIME 2010 II Q12 |
Two noncongruent integer-sided isosceles triangles... |
1500.00 |