High School Elimination Tournament Round 2 5 th Annual WSMA Math Bowl March 7 th, 2015 This test material is copyright © 2015 by the Washington Student.

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High School Elimination Tournament Round 2 5 th Annual WSMA Math Bowl March 7 th, 2015 This test material is copyright © 2015 by the Washington Student Math Association and may not be distributed or reproduced other than for nonprofit educational purposes without the expressed written permission of WSMA.

Problem 1 In how many ways you can start at the origin and move to the point (1, 2) while only moving on lattice paths such that your path is 5 units or less? (A lattice path is a point at which the x and y values of the coordinates are integers.) Copyright © 2015 by the Washington Student Math Association

Problem 2 Copyright © 2015 by the Washington Student Math Association

Problem 3 Copyright © 2015 by the Washington Student Math Association

Problem 4 Copyright © 2015 by the Washington Student Math Association

Problem 5 Find the radius of a circle inscribed in a regular hexagon with a side length of 3. Copyright © 2015 by the Washington Student Math Association

Problem 6 What is the converse of this statement: If I solve math problems, I am a mathlete. Copyright © 2015 by the Washington Student Math Association

Problem 7 Copyright © 2015 by the Washington Student Math Association

Extra Question Laura has a 17 cent coin and a 5 cent coin. What is the largest amount of change she cannot make? Copyright © 2015 by the Washington Student Math Association