olymmath

AMC 8 2014

AMC 8 2014.

Paper

Problem 1

  • Paper

Harry and Terry are each told to calculate 8−(2+5)8-(2+5) . Harry gets the correct answer. Terry ignores the parentheses and calculates 8−2+58-2+5 . If Harry's answer is HH and Terry's answer is TT , what is H−TH-T ? (A) −10(B) −6(C) 0(D) 6(E) 10\textbf{(A) }-10 \textbf{(B) }-6 \textbf{(C) }0 \textbf{(D) }6 \textbf{(E) }10

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Problem 2

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Paul owes Paula 3535 cents and has a pocket full of 55 -cent coins, 1010 -cent coins, and 2525 -cent coins that he can use to pay her. What is the difference between the largest and the smallest number of coins he can use to pay her? (A) 1(B) 2(C) 3(D) 4(E) 5\textbf{(A) }1 \textbf{(B) }2 \textbf{(C) }3 \textbf{(D) }4 \textbf{(E) }5

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Problem 3

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Isabella had a week to read a book for a school assignment. She read an average of 3636 pages per day for the first three days and an average of 4444 pages per day for the next three days. She then finished the book by reading 1010 pages on the last day. How many pages were in the book? (A) 240(B) 250(C) 260(D) 270(E) 280\textbf{(A) }240 \textbf{(B) }250 \textbf{(C) }260 \textbf{(D) }270 \textbf{(E) }280

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Problem 4

  • Paper

The sum of two prime numbers is 8585 . What is the product of these two prime numbers? (A) 85(B) 91(C) 115(D) 133(E) 166\textbf{(A) }85 \textbf{(B) }91 \textbf{(C) }115 \textbf{(D) }133 \textbf{(E) }166

Answer, solutions and source