olymmath

AMC 8 2016

AMC 8 2016.

Paper

Problem 1

  • Paper

The longest professional tennis match ever played lasted a total of 1111 hours and 55 minutes. How many minutes was this? (A) 605(B) 655(C) 665(D) 1005(E) 1105\textbf{(A) }605 \textbf{(B) }655 \textbf{(C) }665 \textbf{(D) }1005 \textbf{(E) }1105

Answer, solutions and source

Problem 2

  • Paper

In rectangle ABCDABCD , AB=6AB=6 and AD=8AD=8 . Point MM is the midpoint of AD‾\overline{AD} . What is the area of △AMC\triangle AMC ? (A) 12(B) 15(C) 18(D) 20(E) 24\textbf{(A) }12 \textbf{(B) }15 \textbf{(C) }18 \textbf{(D) }20 \textbf{(E) }24

Answer, solutions and source

Problem 3

  • Paper

Four students take an exam. Three of their scores are 70,80,70, 80, and 9090 . If the average of their four scores is 7070 , then what is the remaining score? (A) 40(B) 50(C) 55(D) 60(E) 70\textbf{(A) }40 \textbf{(B) }50 \textbf{(C) }55 \textbf{(D) }60 \textbf{(E) }70

Answer, solutions and source

Problem 4

  • Paper

When Cheenu was a boy he could run 1515 miles in 33 hours and 3030 minutes. As an old man he can now walk 1010 miles in 44 hours. How many minutes longer does it take for him to walk a mile now compared to when he was a boy? (A) 6(B) 10(C) 15(D) 18(E) 30\textbf{(A) }6 \textbf{(B) }10 \textbf{(C) }15 \textbf{(D) }18 \textbf{(E) }30

Answer, solutions and source