Math Contest : Nassau County Interscholastic Mathematics League (3)
4:16 PM
Muhammad Yusuf
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5. Chauncey goes up a
flight of 8 stairs. With each step, he goes up either one or two stairs. Find
the number of different sequences of steps he can take to the top.
Note that leaping one
stair and then two stairs is different from leaping two stairs and then one
stair.
6. In convex
quadrilateral ABCD, diagonal AC is perpendicular to diagonal BD, AB = 10, BC =
5, and CD = 11. Find AD.
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