| 2641 |
AIME 2014 I Q15 |
In \( \triangle ABC \), \( AB = 3 \), \( BC = 4 \)... |
1500.00 |
| 2642 |
AIME 2014 II Q1 |
Abe can paint the room in 15 hours, Bea can paint ... |
1500.00 |
| 2643 |
AIME 2014 II Q2 |
Arnold is studying the prevalence of three health ... |
1500.00 |
| 2644 |
AIME 2014 II Q4 |
The repeating decimals \(0.abab\overline{ab}\) and... |
1500.00 |
| 2645 |
AIME 2014 II Q5 |
Real numbers \(r\) and \(s\) are roots of \(p(x)=x... |
1500.00 |
| 2646 |
AIME 2014 II Q6 |
Charles has two six-sided dice. One of the dice is... |
1500.00 |
| 2647 |
AIME 2014 II Q7 |
Let \(f(x) = (x^2+3x+2)^{\cos(\pi x)}\). Find the ... |
1500.00 |
| 2648 |
AIME 2014 II Q8 |
Circle \(C\) with radius \(2\) has diameter \(\ove... |
1500.00 |
| 2649 |
AIME 2014 II Q9 |
Ten chairs are arranged in a circle. Find the numb... |
1500.00 |
| 2650 |
AIME 2014 II Q10 |
Let \(z\) be a complex number with \(|z| = 2014\).... |
1500.00 |
| 2651 |
AIME 2014 II Q11 |
In \(\triangle RED, RD =1, \angle DRE = 75^\circ\)... |
1500.00 |
| 2652 |
AIME 2014 II Q12 |
Suppose that the angles of \(\triangle ABC\) satis... |
1500.00 |
| 2653 |
AIME 2014 II Q13 |
Ten adults enter a room, remove their shoes, and t... |
1500.00 |
| 2654 |
AIME 2014 II Q14 |
In \(\triangle ABC\), \(AB=10\), \(\angle A=30^\ci... |
1500.00 |
| 2655 |
AIME 2014 II Q15 |
For any integer \(k\ge1\), let \(p(k)\) be the sma... |
1500.00 |
| 2656 |
AIME 1986 I Q1 |
What is the sum of the solutions to the equation \... |
1500.00 |
| 2657 |
AIME 1986 I Q3 |
If \(\tan x+\tan y=25\) and \(\cot x + \cot y=30\)... |
1500.00 |
| 2658 |
AIME 1986 I Q4 |
Determine \(3x_4+2x_5\) if \(x_1\), \(x_2\), \(x_3... |
1500.00 |
| 2659 |
AIME 1986 I Q7 |
The increasing sequence \(1,3,4,9,10,12,13\cdots\)... |
1500.00 |
| 2660 |
AIME 1986 I Q8 |
Let \(S\) be the sum of the base 10 logarithms of ... |
1500.00 |