UIL NS and Mathematics Special Topics Session Fill-in-the-blank questions??? 2. NS Special Problem 3. Math Special Problem 4. Misc. Problems Hello

UIL NS and Mathematics Special Topics Session Larry White Box 25 Millersview, Tx 76862 325-483-5446 texasmath@centex.net UIL State NS & Mathematics Contest Director Hello

Be sure to ... sign in; clean up your area when you leave; and “HAVE A GREAT DAY!” Hello

UIL NS and Mathematics Special Topics Session 107th edition of the Constitution and Contest Rules Of the University Interscholastic League 2016-17 There has been a change. Each contest now has a handbook containing contest information and rules governing the contest (see the UIL Store). Hello

UIL NS and Mathematics Special Topics Session No special topics this year No Items of emphasis No new mathematicians No new special type of numbers Hello

UIL NS and Mathematics Special Topics Session Fill-in-the-blank questions What do you think? Comments? Hello

UIL NS and Mathematics Special Topics Session NS Special Problem 1. 23 x 25 + 1 = 2. 27 x 31 + 4 = 3. 32 x 35 + 9 = 4. 25 x 28 + 9 = 5. 31 x 39 + 16 = 576 841 Hello 1129 709 1225

UIL NS and Mathematics Special Topics Session NS Special Problem A x (A + B) + B2 = A^2 + AB + B2 = (A + B)2 - AB Hello

UIL NS and Mathematics Special Topics Session Math Special Problem How many positive 3-digit numbers exist such that the sum of their digits equals 8? of their digits equals 9? of their digits equals 10? of their digits equals 11? 36 45 Hello 54 61

UIL NS and Mathematics Special Topics Session Math Special Problem Triangular numbers & Pentagonal Numbers (note: see spreadsheet) Hello

UIL NS and Mathematics Special Topics Session Math Special Problem Food for Thought! I wonder what happens when the sum of the digits of a 4-digit number is N. Hello

UIL NS and Mathematics Special Topics Session Misc. Problems Polygonal Number Relationships Let Tn be the nth triangular number, Sn be the nth square number, and Pn be the nth pentagonal number. Then T6 + S2 has the same value as: (see Fib & gonal spreadsheet) Hello S5

UIL NS and Mathematics Special Topics Session Misc. Problems area of a triangles using the roots of cubic equations The roots of f(x) = x3 – 7x2 + 16x – 12 are the lengths of a triangle. The area of the triangle is? (nearest tenth) Hello 2.0

UIL NS and Mathematics Special Topics Session Misc. Problems area of a triangles using the roots of cubic equations __________________ A = √ p/2 x f(p/2) , where p is the perimeter Hello

UIL NS and Mathematics Special Topics Session Misc. Problems Fibonacci Numbers Find F15 . 2. If F23 = 28,657 then F22 = ? 3. If Fk = 6,765 then k = ? 610 17,711 Hello 20

UIL NS and Mathematics Special Topics Session Misc. Problems Fibonacci Numbers __ Φn ÷ √5 = Fn 2. Fn ÷ Φ = Fn-1 3. Fn = Φk ÷ √5 Hello

HAVE A GREAT DAY! Hello