2016年AMC12真题及答案.doc

2016 AMC12 A Problem 1 What is the value of?? HYPERLINK /wiki/index.php?title=2016_AMC_12A_Problems/Problem_1 \o 2016 AMC 12A Problems/Problem 1 Solution Problem 2 For what value of??does?? HYPERLINK /wiki/index.php?title=2016_AMC_12A_Problems/Problem_2 \o 2016 AMC 12A Problems/Problem 2 Solution Problem 3 The remainder can be defined for all real numbers??and??with??bywhere??denotes the greatest integer less than or equal to?. What is the value of?? HYPERLINK /wiki/index.php?title=2016_AMC_12A_Problems/Problem_3 \o 2016 AMC 12A Problems/Problem 3 Solution Problem 4 The mean, median, and mode of the??data values??are all equal to?. What is the value of?? HYPERLINK /wiki/index.php?title=2016_AMC_12A_Problems/Problem_4 \o 2016 AMC 12A Problems/Problem 4 Solution Problem 5 Goldbachs conjecture states that every even integer greater than 2 can be written as the sum of two prime numbers (for example,?). So far, no one has been able to prove that the conjecture is true, and no one has found a counterexample to show that the conjecture is false. What would a counterexample consist of? HYPERLINK /wiki/index.php?title=2016_AMC_12A_Problems/Problem_5 \o 2016 AMC 12A Problems/Problem 5 Solution Problem 6 A triangular array of??coins has??coin in the first row,??coins in the second row,??coins in the third row, and so on up to??coins in the?th row. What is the sum of the digits of??? HYPERLINK /wiki/index.php?title=2016_AMC_12A_Problems/Problem_6 \o 2016 AMC 12A Problems/Problem 6 Solution Problem 7 Which of these describes the graph of??? HYPERLINK /wiki/index.php?title=2016_AMC_12A_Problems/Problem_7 \o 2016 AMC 12A Problems/Problem 7 Solution Problem 8 What is the area of the shaded region of the given??rectangle? HYPERLINK /wiki/index.php?title=2016_AMC_12A_Problems/Problem_8 \o 2016 AMC 12A Problems/Problem 8 Solution Problem 9 The five small shaded squares inside this unit square are congruent and have disjoint interiors. The midpoint of each side of the middle sq