| 2041 |
AMC 12 1985 A Q8 |
Let \( a\), \( a'\), \( b\), and \( b'\) be real n... |
1500.00 |
| 2042 |
AMC 12 1985 A Q9 |
The odd positive integers \(1,3,5,7,\cdots,\) are ... |
1500.00 |
| 2043 |
AMC 12 1985 A Q10 |
An arbitrary circle can intersect the graph \( y =... |
1500.00 |
| 2044 |
AMC 12 1985 A Q11 |
How many distinguishable rearrangements of the let... |
1500.00 |
| 2045 |
AMC 12 1985 A Q13 |
Pegs are put in a board \( 1\) unit apart both hor... |
1500.00 |
| 2046 |
AMC 12 1985 A Q15 |
If \( a\) and \( b\) are positive numbers such tha... |
1500.00 |
| 2047 |
AMC 12 1985 A Q17 |
Diagonal \( DB\) of rectangle \( ABCD\) is divided... |
1500.00 |
| 2048 |
AMC 12 1985 A Q18 |
Six bags of marbles contain \( 18\), \( 19\), \( 2... |
1500.00 |
| 2049 |
AMC 12 1985 A Q21 |
How many integers \( x\) satisfy the equation
\[ ... |
1500.00 |
| 2050 |
AMC 12 1985 A Q22 |
In a circle with center \( O\), \( AD\) is a diame... |
1500.00 |
| 2051 |
AMC 12 1985 A Q23 |
If \[x = \frac { - 1 + i\sqrt3}{2}\qquad\text{and}... |
1500.00 |
| 2052 |
AMC 12 1985 A Q25 |
The volume of a certain rectangular solid is \( 8 ... |
1500.00 |
| 2053 |
AMC 12 1985 A Q29 |
In their base \( 10\) representation, the integer ... |
1500.00 |
| 2054 |
AMC 12 1985 A Q30 |
Let \( \lfloor x \rfloor\) be the greatest integer... |
1500.00 |
| 2055 |
AMC 12 1984 A Q3 |
Let \(n\) be the smallest nonprime integer greater... |
1500.00 |
| 2056 |
AMC 12 1984 A Q5 |
The largest integer \(n\) for which \(n^{200} < 5^... |
1500.00 |
| 2057 |
AMC 12 1984 A Q7 |
When Dave walks to school, he averages 90 steps pe... |
1500.00 |
| 2058 |
AMC 12 1984 A Q8 |
Figure \(ABCD\) is a trapezoid with \(AB || DC, AB... |
1500.00 |
| 2059 |
AMC 12 1984 A Q10 |
Four complex numbers lie at the vertices of a squa... |
1500.00 |
| 2060 |
AMC 12 1984 A Q11 |
A calculator has a key which replaces the displaye... |
1500.00 |