| 1981 | 
                AMC 12 1980 A Q23 | 
                Line segments drawn from the vertex opposite the h... | 
                1500.00 | 
            
            
            
                | 1982 | 
                AMC 12 1980 A Q25 | 
                In the non-decreasing sequence of odd integers \(\... | 
                1500.00 | 
            
            
            
                | 1983 | 
                AMC 12 1980 A Q26 | 
                Four balls of radius 1 are mutually tangent, three... | 
                1500.00 | 
            
            
            
                | 1984 | 
                AMC 12 1980 A Q28 | 
                The polynomial \(x^{2n}+1+(x+1)^{2n}\) is not divi... | 
                1500.00 | 
            
            
            
                | 1985 | 
                AMC 12 1980 A Q30 | 
                A six digit number (base 10) is squarish if it sat... | 
                1500.00 | 
            
            
            
                | 1986 | 
                AMC 12 1981 A Q4 | 
                If three times the larger of two numbers is four t... | 
                1500.00 | 
            
            
            
                | 1987 | 
                AMC 12 1981 A Q5 | 
                In trapezoid \(ABCD\), sides \(AB\) and \(CD\) are... | 
                1500.00 | 
            
            
            
                | 1988 | 
                AMC 12 1981 A Q7 | 
                How many of the first one hundred positive integer... | 
                1500.00 | 
            
            
            
                | 1989 | 
                AMC 12 1981 A Q9 | 
                In the adjoining figure, \(PQ\) is a diagonal of t... | 
                1500.00 | 
            
            
            
                | 1990 | 
                AMC 12 1981 A Q11 | 
                The three sides of a right triangle have integral ... | 
                1500.00 | 
            
            
            
                | 1991 | 
                AMC 12 1981 A Q13 | 
                Suppose that at the end of any year, a unit of mon... | 
                1500.00 | 
            
            
            
                | 1992 | 
                AMC 12 1981 A Q14 | 
                In a geometric sequence of real numbers, the sum o... | 
                1500.00 | 
            
            
            
                | 1993 | 
                AMC 12 1981 A Q15 | 
                If \(b>1\), \(x>0\) and \((2x)^{\log_b 2}-(3x)^{\l... | 
                1500.00 | 
            
            
            
                | 1994 | 
                AMC 12 1981 A Q16 | 
                The base three representation of \(x\) is \[ 12112... | 
                1500.00 | 
            
            
            
                | 1995 | 
                AMC 12 1981 A Q17 | 
                The function \(f\) is not defined for \(x=0\), but... | 
                1500.00 | 
            
            
            
                | 1996 | 
                AMC 12 1981 A Q18 | 
                The number of real solutions to the equation \[ \f... | 
                1500.00 | 
            
            
            
                | 1997 | 
                AMC 12 1981 A Q19 | 
                In \(\triangle ABC\), \(M\) is the midpoint of sid... | 
                1500.00 | 
            
            
            
                | 1998 | 
                AMC 12 1981 A Q20 | 
                A ray of light originates from point \(A\) and and... | 
                1500.00 | 
            
            
            
                | 1999 | 
                AMC 12 1981 A Q22 | 
                How many lines in a three dimensional rectangular ... | 
                1500.00 | 
            
            
            
                | 2000 | 
                AMC 12 1981 A Q25 | 
                [asy]defaultpen(linewidth(.8pt));
pair A = (0,11)... | 
                1500.00 |