| 2861 |
AIME 2022 II Q14 |
For positive integers \(a\), \(b\), and \(c\) with... |
1500.00 |
| 2862 |
AIME 1983 I Q1 |
Let \(x\), \(y\), and \(z\) all exceed 1 and let \... |
1500.00 |
| 2863 |
AIME 1983 I Q2 |
Let \(f(x) = |x - p| + |x - 15| + |x - p - 15|\), ... |
1500.00 |
| 2864 |
AIME 1983 I Q4 |
A machine-shop cutting tool has the shape of a not... |
1500.00 |
| 2865 |
AIME 1983 I Q5 |
Suppose that the sum of the squares of two complex... |
1500.00 |
| 2866 |
AIME 1983 I Q7 |
Twenty five of King Arthur's knights are seated at... |
1500.00 |
| 2867 |
AIME 1983 I Q8 |
What is the largest 2-digit prime factor of the in... |
1500.00 |
| 2868 |
AIME 1983 I Q9 |
Find the minimum value of
\[\frac{9x^2 \sin^2 x +... |
1500.00 |
| 2869 |
AIME 1983 I Q10 |
The numbers 1447, 1005, and 1231 have something in... |
1500.00 |
| 2870 |
AIME 1983 I Q11 |
The solid shown has a square base of side length \... |
1500.00 |
| 2871 |
AIME 1983 I Q12 |
Diameter \(AB\) of a circle has length a 2-digit i... |
1500.00 |
| 2872 |
AIME 1983 I Q15 |
The adjoining figure shows two intersecting chords... |
1500.00 |
| 2873 |
AIME 2009 I Q1 |
Call a \( 3\)-digit number geometric if it has \( ... |
1500.00 |
| 2874 |
AIME 2009 I Q3 |
A coin that comes up heads with probability \( p >... |
1500.00 |
| 2875 |
AIME 2009 I Q4 |
In parallelogram \( ABCD\), point \( M\) is on \( ... |
1500.00 |
| 2876 |
AIME 2009 I Q5 |
Triangle \( ABC\) has \( AC = 450\) and \( BC = 30... |
1500.00 |
| 2877 |
AIME 2009 I Q6 |
How many positive integers \( N\) less than \( 100... |
1500.00 |
| 2878 |
AIME 2009 I Q7 |
The sequence \( (a_n)\) satisfies \( a_1 = 1\) and... |
1500.00 |
| 2879 |
AIME 2009 I Q8 |
Let \( S = \{2^0,2^1,2^2,\ldots,2^{10}\}\). Consid... |
1500.00 |
| 2880 |
AIME 2009 I Q9 |
A game show offers a contestant three prizes A, B ... |
1500.00 |