1. UIL NS and Mathematics Special Topics Session
Fill-in-the-blank questions???
2. NS Special Problem
3. Math Special Problem
4. Misc. Problems
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2. UIL NS and Mathematics Special Topics Session
Larry White
Box 25
Millersview, Tx
UIL State NS & Mathematics Contest Director
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3. Be sure to ... sign in; clean up your area when you leave; and
“HAVE A GREAT DAY!”
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4. UIL NS and Mathematics Special Topics Session
107th edition of the
Constitution and Contest Rules
Of the University Interscholastic League
There has been a change. Each contest
now has a handbook containing contest
information and rules governing the
contest (see the UIL Store).
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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
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6. UIL NS and Mathematics Special Topics Session
Fill-in-the-blank questions
What do you think?
Comments?
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7. UIL NS and Mathematics Special Topics Session
NS Special Problem
x =
x =
x =
x =
x =
576
841
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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
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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?
of their digits equals 9?
of their digits equals 10?
of their digits equals 11? 36 45
Hello 54 61

10. UIL NS and Mathematics Special Topics Session
Math Special Problem
Triangular numbers
&
Pentagonal Numbers
(note: see spreadsheet)
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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.
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12. 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

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)
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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
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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
Hello 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
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17. HAVE A
GREAT DAY!
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