| 2441 |
AIME 2021 II Q15 |
Let \(f(n)\) and \(g(n)\) be functions satisfying
... |
1500.00 |
| 2442 |
AIME 1991 I Q1 |
Find \(x^2+y^2\) if \(x\) and \(y\) are positive i... |
1500.00 |
| 2443 |
AIME 1991 I Q4 |
How many real numbers \(x\) satisfy the equation \... |
1500.00 |
| 2444 |
AIME 1991 I Q5 |
Given a rational number, write it as a fraction in... |
1500.00 |
| 2445 |
AIME 1991 I Q6 |
Suppose \(r\) is a real number for which \[ \left\... |
1500.00 |
| 2446 |
AIME 1991 I Q8 |
For how many real numbers \(a\) does the quadratic... |
1500.00 |
| 2447 |
AIME 1991 I Q9 |
Suppose that \(\sec x+\tan x=\frac{22}7\) and that... |
1500.00 |
| 2448 |
AIME 1991 I Q10 |
Two three-letter strings, \(aaa\) and \(bbb\), are... |
1500.00 |
| 2449 |
AIME 1991 I Q11 |
Twelve congruent disks are placed on a circle \(C\... |
1500.00 |
| 2450 |
AIME 1991 I Q12 |
Rhombus \(PQRS\) is inscribed in rectangle \(ABCD\... |
1500.00 |
| 2451 |
AIME 1991 I Q13 |
A drawer contains a mixture of red socks and blue ... |
1500.00 |
| 2452 |
AIME 1991 I Q14 |
A hexagon is inscribed in a circle. Five of the si... |
1500.00 |
| 2453 |
AIME 1991 I Q15 |
For positive integer \(n\), define \(S_n\) to be t... |
1500.00 |
| 2454 |
AIME 2010 I Q1 |
Maya lists all the positive divisors of \( 2010^2\... |
1500.00 |
| 2455 |
AIME 2010 I Q3 |
Suppose that \( y = \frac34x\) and \( x^y = y^x\).... |
1500.00 |
| 2456 |
AIME 2010 I Q4 |
Jackie and Phil have two fair coins and a third co... |
1500.00 |
| 2457 |
AIME 2010 I Q6 |
Let \( P(x)\) be a quadratic polynomial with real ... |
1500.00 |
| 2458 |
AIME 2010 I Q8 |
For a real number \( a\), let \( \lfloor a \rfloor... |
1500.00 |
| 2459 |
AIME 2010 I Q9 |
Let \( (a,b,c)\) be the real solution of the syste... |
1500.00 |
| 2460 |
AIME 2010 I Q10 |
Let \( N\) be the number of ways to write \( 2010\... |
1500.00 |