Elimination Tournament Round 2

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Elimination Tournament Round 2 6th Annual WSMA Math Bowl January 23rd, 2016 This test material is copyright © 2016 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. www.wastudentmath.org.

Copyright © 2016 by the Washington Student Math Association Problem 1 On any given day, the probability that I will find a use for math is 4/9. On any given day, the probability that my brother finds a use for math is 2/5. These events are independent. Assuming that the rest of my family never uses math, what is the probability that at least one person in my family uses math? Copyright © 2016 by the Washington Student Math Association

Copyright © 2016 by the Washington Student Math Association Problem 2 What is the difference between the largest and smallest length possible of the last side of a triangle if the other two sides have length 8 and 15 and all sides have integer lengths? Copyright © 2016 by the Washington Student Math Association

Copyright © 2016 by the Washington Student Math Association Problem 3 If 2a=b and 3a=7c, then xb=56c. What is the value of x? Copyright © 2016 by the Washington Student Math Association

Copyright © 2016 by the Washington Student Math Association Problem 4 How many distinct positive factors does the number 18 have? Copyright © 2016 by the Washington Student Math Association

Copyright © 2016 by the Washington Student Math Association Problem 5 What is the maximum number of 2x3x4 blocks that would fit in a 24x24x24 cube? Copyright © 2016 by the Washington Student Math Association

Copyright © 2016 by the Washington Student Math Association Problem 6 What is the maximum number of intersections created by 5 distinct lines? Copyright © 2016 by the Washington Student Math Association

Copyright © 2016 by the Washington Student Math Association Problem 7 If the 6 digit number 1372b4 is divisible by 11, what is the value of b? Copyright © 2016 by the Washington Student Math Association

Copyright © 2016 by the Washington Student Math Association Extra Question In how many ways can you arrange the letters of the word WORDS? Copyright © 2016 by the Washington Student Math Association