February Means Chapter Competitions! - The Problems

February 2, 2004

As we move into February, students from over 6000 schools are wrapping up preparations for the 2004 Chapter Competition! To provide a few more practice problems for all of you, we’ve pulled some problems from the Chapter Competition held ten years ago. See how you do! And good luck to all of the Mathletes who will be competing in the upcoming month!

Sprint #8: Twenty-six people, numbered consecutively 1 through 26, are seated equally spaced around a circular table. Which numbered person is seated directly across from person number 9?

Sprint #14: How many integers between 100 and 500 do not contain an even digit?

Team #8: Get some teammates to work with for this one! A box contains 93 balls: 22 purple, 17 aqua, 16 brown, 15 white, 12 black, and 11 red. A sample of size N is drawn at random from the box. What is the smallest possible value of N that will ensure that the sample will contain at least 14 balls of the same color?

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