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Post Info TOPIC: Questions on UIL B Release


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Questions on UIL B Release
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Hi guys,


Vinay here. I just took the UIL B release and got a 287.  I was wondering how all of you scored on that test.


Here are a few questions I had on how to do the following problems:


72. 1 + 1 + 2 + 3 + 5 + 8 + 13 + ... + 55 = (143)


how do you find the sum to n terms of a fibonacci sequence?


74. 6253718 / 11 has a remainder of __ (9)


is there a trick for this or do you have to work it all out?


60. Estimation: 23 * 34 + 43 * 32


 


Thanks,


Vinay



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Vinay Ramasesh


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You creamed me. I got a 215. Heres how you do the ones you had trouble with:


 


Fibonacci was a cool guy and the sums to his problems are cool too.


The sum of a given sequence is always one less than 2 terms above the last number they give you.


your problem goes through 55, lets go two terms up, 55+34=89 (thats one...)


89+55=144 (thats two)


144-1 = 143 (thats your answer).


 


okay, now the 11's problem.


Finding the remainder in dividing by 11 is a little more tricky than 9.


What you do is take the sum of every other digit starting from the units place (call it the odds places) and minus the sums of the others (call them the evens). Add 11 to the result if it is negative (until it becomes positive), otherwise thats your answer (divided by 11 of course). (if the sum is 0, than the remainder is 0)


6253718/11 (remainder) = (8+7+5+6)-(1+3+2) = 26 - 6 = 20.  20/11 = remainder of 9


and the annoying approximation!


Notice that the terms 32 and 34 are dangerously close together...


Lets make them 33.


so... 33*66(this is the sum of the other numbers) = 2178


 


Good luck at state Vinay!


Zack.



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72. 1 + 1 + 2 + 3 + 5 + 8 + 13 + ... + 55 = (143)


Zack


i understand your method, but the problem is, how can you find the term before 55(in this case, 34)?


thanks 


quincy


 



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Anonymous

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Thanks a lot, Zack!


The fibonacci sequence thing really helped.  Where did you get your information for that?


And quincy, I'd probably just keep adding from 13 until I got to 55. It'd only take two additions.  Maybe we should all memorize the first 10 or 11 terms of the Fibonacci sequence just in case.  By the way, how'd you score on that test?


Good luck next week,


Vinay


p.s. good luck at state? lol, I haven't made it past district yet.  but good luck to you to!



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I came up with the Fibonacci trick myself, but its really impractical if they do something like:


1 + 1 + 2... + 144 = ?


You'd have to either know the method of obtaining the number before 144 which I dont know, or you'd have to do about 30 seconds worth of calculations in your head, which would keep you from getting to the questions futher down.


To me this is a critical problem. I do my tests accurately, but I only get to #47 or so, which ultimately tends to be a problem. I guess its because I just started doing number sense over the spring break, and you Ns'ers are always stressing the fact that practice is what makes the higher scores.


Because of this, my high score to date is a 245. I was wondering what kind of high scores that you other people who hang about the forum have recieved. Back in Middle school my friend recieved a perfect score, and I have never seen anything beyond a 360 (Aaron Goldsmith of Azle) in high school.


If you figure something out, you know where to find me.



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Anonymous

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My highest so far is a 319.  It was on a Dr. Numsen though, and those are easy.


VInay



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Anonymous

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Where do I find the results!?


I can't find them anywhere.


Vinay



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319... not bad. If you want to see the results to pretty much anything but state, you can find them in the results website at www.texasmath.org Click on results and it will bring you the current results. The state ones have been hidden for some odd reason or another, and if anyone can find the results to last years state comp, i would greatly appreciate it. Good luck to whoever is going today... (Its 12:45 in the morning, so bored...).



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Anonymous

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I cant find it!


Maybe i'm not looking in the right place.


Can someone please walk me through the process?


thanks,


Vinay



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Which results are you looking for? The UIL district scores are available at http://utdirect.utexas.edu/uil/mlc3_pub_meet_list.WBX . Just plug in whatever district or event you want to find. Its more than just CX. Make sure that you scroll to "Spring Meet" on the top task bar. The math-science results from TMSCA and such are at the texasmath site.


          -Zack-



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Did you ever find what you were looking for? If not, what is it that you are searching for?


      -Zack-



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