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Number Sense Contest and Mathematics Contest Jam Session

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Presentation on theme: "Number Sense Contest and Mathematics Contest Jam Session"— Presentation transcript:

1 Number Sense Contest and Mathematics Contest Jam Session
Larry White Box 25 Millersview, Tx UIL State NS & Mathematics Contest Director Hello

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

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

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

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

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

7 Miles  Kilometers using Fibonacci numbers What ???????? Hello

8 The distance from Millersview to Edinburg is
413 miles or 665 kilometers. F14 + F9 + F3 = = 413 miles (note: the sum of the least amount of non-consecutive Fibonacci numbers) Hello

9 The distance from Millersview to Edinburg is
413 miles or 665 kilometers. F14 + F9 + F3 = = 413 miles (note: add 1 to each of the Fibonacci numbers above) F15 + F10 + F4 = = 668 kilometers Hello

10 > Miles to kilometers or kilometers to miles … works both ways.
Observations: > Miles to kilometers or kilometers to miles … works both ways. > Note the ratio of Miles/kilometers = 413/668 = … Kilometer/miles = 668/413 = … Hello

11 Special Numbers & Unusual Primes
Hello

12 Kaprekar Number 452 = 2025 and 20 + 25 = 45
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 = 45 2972 = and = 297 132 = 169, but is not 13 nor is Hello

13 Narcissistic Number (Armstrong Number)
Any n-digit number that is the sum of the nth power of each of its digits. 1 = = = 31 (all single digit numbers are narcissistic) 153 = = = 153 1634 = ? = 1634 Hello

14 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 Hello

15 Number Sense Contest and Mathematics Contest Jam Session
Primes – Primes – Primes How many types of primes can you name? Hello

16 HAVE A GREAT DAY! Hello


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