| 2061 |
AMC 12 1984 A Q12 |
If the sequence \(\{a_n\}\) is defined by \begin{a... |
1500.00 |
| 2062 |
AMC 12 1984 A Q14 |
The product of all real roots of the equation \(x^... |
1500.00 |
| 2063 |
AMC 12 1984 A Q15 |
If \(\sin 2x \sin 3x = \cos 2x \cos 3x\), then one... |
1500.00 |
| 2064 |
AMC 12 1984 A Q17 |
A right triangle \(ABC\) with hypotenuse \(AB\) ha... |
1500.00 |
| 2065 |
AMC 12 1984 A Q18 |
A point \((x,y)\) is to be chosen in the coordinat... |
1500.00 |
| 2066 |
AMC 12 1984 A Q19 |
A box contains 11 balls, numbered 1,2,3,....,11. I... |
1500.00 |
| 2067 |
AMC 12 1984 A Q20 |
The number of distinct solutions of the equation \... |
1500.00 |
| 2068 |
AMC 12 1984 A Q22 |
Let \(a\) and \(c\) be fixed positive numbers. For... |
1500.00 |
| 2069 |
AMC 12 1984 A Q23 |
\(\frac{\sin 10^\circ + \sin 20^\circ}{\cos 10^\ci... |
1500.00 |
| 2070 |
AMC 12 1984 A Q24 |
If \(a\) and \(b\) are positive real numbers and e... |
1500.00 |
| 2071 |
AMC 12 1984 A Q25 |
The total area of all the faces of a rectangular s... |
1500.00 |
| 2072 |
AMC 12 1984 A Q26 |
In the obtuse triangle \(ABC\), \(AM = MB, MD \per... |
1500.00 |
| 2073 |
AMC 12 1984 A Q27 |
In \(\triangle ABC\), \(D\) is on \(AC\) and \(F\)... |
1500.00 |
| 2074 |
AMC 12 1984 A Q28 |
The number of distinct pairs of integers \((x,y)\)... |
1500.00 |
| 2075 |
AMC 12 1984 A Q29 |
Find the largest value for \(\frac{y}{x}\) for pai... |
1500.00 |
| 2076 |
AMC 12 1984 A Q30 |
For any complex number \(w = a + bi\), \(|w|\) is ... |
1500.00 |
| 2077 |
AMC 12 1996 A Q1 |
The addition below is incorrect. What is the large... |
1500.00 |
| 2078 |
AMC 12 1996 A Q2 |
Each day Walter gets \(\$3\) for doing his chores ... |
1500.00 |
| 2079 |
AMC 12 1996 A Q4 |
Five numbers from a list of nine integers are \(7,... |
1500.00 |
| 2080 |
AMC 12 1996 A Q7 |
A father takes his twins and a younger child out t... |
1500.00 |