Number Sense Contest and Mathematics Contest Jam Session

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

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Number Sense Contest and Mathematics Contest Jam Session 108 th edition of the Constitution and Contest Rules Of the University Interscholastic League 2018 -19 Each contest now has its own handbook containing contest information and rules governing the contest (see the UIL Store).

Number Sense Contest and Mathematics Contest Jam Session No new mathematicians. No new special type of numbers. Number Sense ---- Mathematics

Number Sense Contest and Mathematics Contest Jam Session RULES No changes that I know of. Any questions about any rules? Number Sense ---- Mathematics

Number Sense Contest and Mathematics Contest Jam Session Problems from past years Number Sense ---- Mathematics

Miles Kilometers using Fibonacci numbers What ? ? ? ?

The distance from Millersview to Edinburg is 413 miles or 665 kilometers. F 14 + F 9 + F 3 = 377 + 34 + 2 = 413 miles (note: the sum of the least amount of nonconsecutive Fibonacci numbers)

The distance from Millersview to Edinburg is 413 miles or 665 kilometers. F 14 + F 9 + F 3 = 377 + 34 + 2 = 413 miles (note: add 1 to each of the Fibonacci numbers above) F 15 + F 10 + F 4 = 610 + 55 + 3 = 668 kilometers

Observations: > Miles to kilometers or kilometers to miles … works both ways. > Note the ratio of Miles/kilometers = 413/668 = 0. 6182… Kilometer/miles = 668/413 = 1. 6174…

Special Numbers & Unusual Primes

Kaprekar Number The digits of the number squared can be divided into two parts such that sum of parts is equal to the original number and none of the parts has value 0. 452 = 2025 and 20 + 25 = 45 2972 = 88209 and 209 + 88 = 297 132 = 169, but 16 + 9 is not 13 nor is 1 + 69

Narcissistic Number (Armstrong Number) Any n-digit number that is the sum of the nth power of each of its digits. 1 = 11 2 = 21 3 = 31 (all single digit numbers are narcissistic) 153 = 13 + 53 + 33 = 1 + 125 + 27 = 153 1634 = ? 14 + 64 + 34 + 44 = 1634

Harshad Number (Niven Number) (multidigital number) Any number which is divisible by the sum of its digits. (all single digit numbers are Harshad) 10 is divisible by 1 + 0 72 is divisible by 7 + 2 108 is divisible by 1 + 0 + 8

Number Sense Contest and Mathematics Contest Jam Session Primes – Primes How many types of primes can you name? https: //prime-numbers. info/list/

HAVE A GREAT DAY!