| 441 | 
                AMC 12 2000 A Q16 | 
                A checkerboard of \( 13\) rows and \( 17\) columns... | 
                1516.00 | 
            
            
            
                | 442 | 
                AMC 12 2000 A Q20 | 
                If \( x\), \( y\), and \( z\) are positive numbers... | 
                1516.00 | 
            
            
            
                | 443 | 
                AMC 12 2000 A Q23 | 
                Professor Gamble buys a lottery ticket, which requ... | 
                1516.00 | 
            
            
            
                | 444 | 
                AMC 12 2013 B Q22 | 
                Let \(m>1\) and \(n>1\) be integers. Suppose that ... | 
                1516.00 | 
            
            
            
                | 445 | 
                AMC 12 2018 A Q1 | 
                A large urn contains \(100\) balls, of which \(36\... | 
                1516.00 | 
            
            
            
                | 446 | 
                AMC 12 2018 A Q23 | 
                In \(\triangle PAT,\) \(\angle P=36^{\circ},\) \(\... | 
                1516.00 | 
            
            
            
                | 447 | 
                AMC 12 2018 B Q16 | 
                The solutions to the equation \((z+6)^8=81\) are c... | 
                1516.00 | 
            
            
            
                | 448 | 
                AMC 12 2014 A Q18 | 
                The domain of the function \(f(x)=\log_{\frac12}(\... | 
                1516.00 | 
            
            
            
                | 449 | 
                AMC 12 2014 B Q5 | 
                Doug constructs a square window using \(8\) equal-... | 
                1516.00 | 
            
            
            
                | 450 | 
                AMC 12 2014 B Q13 | 
                Real numbers \(a\) and \(b\) are chosen with \(1<a... | 
                1516.00 | 
            
            
            
                | 451 | 
                AMC 12 2012 A Q16 | 
                Circle \(C_1\) has its center \(O\) lying on circl... | 
                1516.00 | 
            
            
            
                | 452 | 
                AMC 12 2012 A Q22 | 
                Distinct planes \(p_1,p_2,....,p_k\) intersect the... | 
                1516.00 | 
            
            
            
                | 453 | 
                AMC 12 2012 A Q25 | 
                Let \(f(x)=|2\{x\} -1|\) where \(\{x\}\) denotes t... | 
                1516.00 | 
            
            
            
                | 454 | 
                AMC 12 2012 B Q25 | 
                Let \(S=\{(x,y) : x \in \{0,1,2,3,4\}, y \in \{0,1... | 
                1516.00 | 
            
            
            
                | 455 | 
                AMC 12 2019 A Q13 | 
                How many ways are there to paint each of the integ... | 
                1516.00 | 
            
            
            
                | 456 | 
                AMC 12 2019 B Q21 | 
                How many quadratic polynomials with real coefficie... | 
                1516.00 | 
            
            
            
                | 457 | 
                AMC 12 2019 B Q25 | 
                Let \(ABCD\) be a convex quadrilateral with \(BC=2... | 
                1516.00 | 
            
            
            
                | 458 | 
                AMC 12 2020 A Q18 | 
                Quadrilateral \(ABCD\) satisfies \(\angle ABC = \a... | 
                1516.00 | 
            
            
            
                | 459 | 
                AMC 12 2020 B Q16 | 
                An urn contains one red ball and one blue ball. A ... | 
                1516.00 | 
            
            
            
                | 460 | 
                AMC 12 2005 A Q23 | 
                Two distinct numbers \( a\) and \( b\) are chosen ... | 
                1516.00 |