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Post Info TOPIC: Invitational Questions
Anonymous

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Invitational Questions
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Here are a few questions I encountered on an Invitation UIL test.  I don't know if these are A Level or not, but here they are:


(62) [ sqrt(5) ]


I don't know what the square brackets mean.  Does anybody have an Idea? I don't have the answer for this one.


(24) The product of the prime factors of 84 is _____-


I put 84, because 84 = 2 * 2 * 3 * 7. Do you know if this is the case or do they only want you to count each factor once?


(34) How many proper subsets does a 4-element set have?


Proper subset, I think, means all subsets except the set itself.  Is there a formula for number of subsets? because if there is, obviously you could just make it f(n) - 1.


Thanks,


Vinay


P.S. If this thread gets shut down because of new problems,  you can e-mail me at vvr1590@hotmail.com to discuss these.


 


 



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Anonymous

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hey vinay,


i don't know about the 1st problem, i don't know wut does the brackets mean either.


the 2nd problem i believe it should be 2*3*7, your are right about 84 = 2 * 2 * 3 * 7, but you repeated the 2, the answer should be 2*3*7, 42.


and i believe the 3rd problem is 15, because 2^4-1=15


how did you do on that invitational?


hope that helped


quincy



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Anonymous

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Thanks quincy,


I did alright at the invitational.  I got first place in the 9th and 10th grade division, but if they put all the high school grades together, I would've placed second.


At every invitational I've been to, the contestants have been grouped: 9th and 10th, 11th and 12th.


Are you sure grade level doesn't matter for UIL?


Vinay



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Anonymous

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yeah i am pretty sure, at least it didn't matter last year

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Hey guys,

Sorry I have been super busy and have had no time to even look at this site. I think the answer to the first questions is 2. Usually the brackets mean the smallest whole number less than the value in brackets.

Ex[1] [sqrt(5)] = 2 becasue the sqrt (5) is 2.something so the answer is 2.

Ex[3] [-3.14] = -4 because it is the smallest whole number less than -3.

You might want to check to make sure. What was the answer on that problem. Try to always give answers because it makes my job that much easier.

See ya

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Anonymous

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Sorry,


I didn't have the answers.  They wouldn't release them since the test is still in use.


Vinay



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Regarding the problem with the brackets [ ],



To be exact, the brackets mean "greatest integer less than or equal to".  So for example the answer to [-3.5] is -4 and the answer to [+3.5] is 3.



This forum is a great resouce - thanks to all who take the time to post questions and comments.



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mathman:


you competed for Lufkin? Wow...our team is waiting for the results for your school, becuz we are competing for the wildcard in calculator.


quincy



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Sam


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Mathman, are you from Lufkin?  That's very interesting.  I'm from Nacogdoches.


-Sam



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Yes I went to Lufkin High School (actually the old campus - now they have a relatively new school) so I am very familiar with Nacogdoches, which is just over 20 miles away from Lufkin.    Good to hear that East Texas has a strong candidate this year so good luck to you.


I moved into Texas in the 10th grade & didn't know anything about Number Sense.  My math teacher asked me to take a Number sense test one day & I scored something like a 21 (or was it a -21).  I actually should have been scored much lower because I actually left red eraser marks on the test from where I had erased some of my "carry" marks!  Ha! 


Looking back I'm not surprised either at the score - it seems to me that people who are smart or think they are fast in math really don't develop a number "sense" on their own that lets them compete very well on these types of tests without learning the tricks. 


 



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Anonymous

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[n] means the greatest integer less than or equal to n. In the case of 62[sqrt 5], the greatest integer less than or equal to the square root of 5 is 2 since the square root of 5 is approximatley 2.2.

When they ask for the product of the prime factors of 84, you need to keep in mind that the prime factors of 84 are 2, 3 and 7, therefore 2(3)(7) is 42.

An n-element set has 2 to the n power number of subsets. The proper subsets are the subsets of the set, excluding the set itself. For example : A 4-element set has 2 to the 4 power subsets or 16 subsets. This set has 15 proper subsets.

Leo Ramirez
visit my website at www.rammaterials.com

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