| 1781 |
AMC 12 2002 B Q13 |
The sum of \( 18\) consecutive positive integers i... |
1500.00 |
| 1782 |
AMC 12 2002 B Q15 |
How many four-digit numbers \( N\) have the proper... |
1500.00 |
| 1783 |
AMC 12 2002 B Q16 |
Juan rolls a fair regular octahedral die marked wi... |
1500.00 |
| 1784 |
AMC 12 2002 B Q21 |
For all positive integers \( n\) less than \( 2002... |
1500.00 |
| 1785 |
AMC 12 2002 B Q22 |
For all integers \( n\) greater than \( 1\), defin... |
1500.00 |
| 1786 |
AMC 12 2002 B Q23 |
In \( \triangle{ABC}\), we have \( AB=1\) and \( A... |
1500.00 |
| 1787 |
AMC 12 2002 B Q24 |
A convex quadrilateral \( ABCD\) with area \( 2002... |
1500.00 |
| 1788 |
AMC 12 2002 B Q25 |
Let \( f(x)=x^2+6x+1\), and let \( R\) denote the ... |
1500.00 |
| 1789 |
AMC 12 2002 P Q8 |
Let \(AB\) be a segment of length \(26\), and let ... |
1500.00 |
| 1790 |
AMC 12 2002 P Q10 |
Let \(f_n(x)=\sin^n x + \cos^n x\). For how many ... |
1500.00 |
| 1791 |
AMC 12 2002 P Q16 |
The altitudes of a triangles are \(12\), \(15\), a... |
1500.00 |
| 1792 |
AMC 12 2002 P Q23 |
The equation \(z(z+i)(z+3i)=2002i\) has a zero of ... |
1500.00 |
| 1793 |
AMC 12 2002 P Q24 |
Let \(ABCD\) be a regular tetrahedron and let \(E\... |
1500.00 |
| 1794 |
AMC 12 2002 P Q25 |
Let \(a\) and \(b\) be real numbers such that \(\s... |
1500.00 |
| 1795 |
AMC 12 1998 A Q1 |
[asy]
//rectangles above problem statement
size(1... |
1500.00 |
| 1796 |
AMC 12 1998 A Q3 |
If \(a,b,\) and \(c\) are digits for which \[ \beg... |
1500.00 |
| 1797 |
AMC 12 1998 A Q5 |
If \(2^{1998} - 2^{1997} - 2^{1996} + 2^{1995} = k... |
1500.00 |
| 1798 |
AMC 12 1998 A Q6 |
If 1998 is written as a product of two positive in... |
1500.00 |
| 1799 |
AMC 12 1998 A Q10 |
A large square is divided into a small square surr... |
1500.00 |
| 1800 |
AMC 12 1998 A Q12 |
How many different prime numbers are factors of \(... |
1500.00 |