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AMC 8 2010, Problem #25

Every day at school, Jo climbs a flight of 6 stairs. Jo can take stairs 1, 2, or 3 at a time. For example, Jo can climb 3, then 1, then 2 stairs. In how many ways can Jo climb the stairs?

(A) 13 (B) 18 (C) 20 (D) 22 (E) 24

AMC 8 2005, Problem #19

AMC 8 2005, Problem #9

AMC 12 2011, Problem #13

Triangle ABC has side-lengths AB = 12, BC = 24, and AC = 18. The line through the incenter of ∆ABC parallel to BC intersects AB at M and AC at N. What is the perimeter of ∆AMN?

(A) 27 (B) 30 (C) 33 (D) 36 (E) 42

AMC 12A 2003, Problem #8

AMC 12 2001, Problem #11

AMC 8 2010, Problem #20

AMC 8 2005, Problem #8

AMC 8 2005, Problem #24

AMC 12A 2006, Problem #25

AMC 12A 2006, Problem #23

AMC 12A 2002, Problem #21

Consider the sequence of numbers: 4, 7, 1, 8, 9, 7, 6, …. For n > 2, the nth term of the sequence is the units digits of the sum of the two previous terms. Let denote the sum of the first n terms of this sequence. The smallest value of n for which > 10,000 is:

(A) 1992 (B) 1999 (C) 2001 (D) 2002

(E) 2004