Problem Rankings

Rank Source Description Elo Rating
2101 AMC 12 1991 A Q28 Initially an urn contains 100 black marbles and 10... 1500.00
2102 AMC 12 1991 A Q29 Equilateral triangle \(ABC\) has been creased and ... 1500.00
2103 AMC 12 1991 A Q30 For any set \(S\), let \(|S|\) denote the number o... 1500.00
2104 AMC 12 1983 A Q3 Three primes \(p,q,\) and \(r\) satisfy \(p+q = r\... 1500.00
2105 AMC 12 1983 A Q5 Triangle \(ABC\) has a right angle at \(C\). If \(... 1500.00
2106 AMC 12 1983 A Q6 When \[x^5, \quad x+\frac{1}{x}\quad \text{and}\qu... 1500.00
2107 AMC 12 1983 A Q7 Alice sells an item at \(\$10\) less than the list... 1500.00
2108 AMC 12 1983 A Q8 Let \(f(x) = \frac{x+1}{x-1}\). Then for \(x^2 \ne... 1500.00
2109 AMC 12 1983 A Q9 In a certain population the ratio of the number of... 1500.00
2110 AMC 12 1983 A Q11 Simplify \(\sin (x-y) \cos y + \cos (x-y) \sin y\)... 1500.00
2111 AMC 12 1983 A Q12 If \(\log_7 \Big(\log_3 (\log_2 x) \Big) = 0\), th... 1500.00
2112 AMC 12 1983 A Q13 If \(xy = a, xz =b,\) and \(yz = c\), and none of ... 1500.00
2113 AMC 12 1983 A Q15 Three balls marked 1,2, and 3, are placed in an ur... 1500.00
2114 AMC 12 1983 A Q16 Let \[x = .123456789101112\ldots998999,\]where the... 1500.00
2115 AMC 12 1983 A Q17 The diagram to the right shows several numbers in ... 1500.00
2116 AMC 12 1983 A Q18 Let \(f\) be a polynomial function such that, for ... 1500.00
2117 AMC 12 1983 A Q19 Point \(D\) is on side \(CB\) of triangle \(ABC\).... 1500.00
2118 AMC 12 1983 A Q20 If \(\tan{\alpha}\) and \(\tan{\beta}\) are the ro... 1500.00
2119 AMC 12 1983 A Q22 Consider the two functions \[f(x) = x^2+2bx+1\quad... 1500.00
2120 AMC 12 1983 A Q25 If \(60^a = 3\) and \(60^b = 5\), then \(12^{[(1-a... 1500.00