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UIL NS and Mathematics Special Topics Session

Explore various topics in UIL Number Sense and Mathematics, including fill-in-the-blank questions, special problems, and miscellaneous problems. No special topics or items of emphasis this year.

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UIL NS and Mathematics Special Topics Session

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

  2. 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

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

  4. 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).

  5. 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

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

  7. 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 1129 709 1225

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

  9. 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? How many positive 3-digit numbers exist such that the sum of their digits equals 9? How many positive 3-digit numbers exist such that the sum of their digits equals 10? How many positive 3-digit numbers exist such that the sum of their digits equals 11? 36 45 54 61

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

  11. 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.

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

  13. 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) 2.0

  14. 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

  15. 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 20

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

  17. HAVE A GREAT DAY!

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