APSU Science ExpOlympics - 2002

Thursday, April 11


MATHEMATICS RELAY

Competition Event (one four-membered team per school) – SSC-E303

Dr. S. Hagewood  (Mathematics and Computer Sciences Department)

 The mathematics relay is a speed and skill contest in solving mathematical problems.  The contest will consist of three rounds of four problems each.  The correct answer for problem #1 (basic algebra) will be needed to correctly solve problem #2 (geometry).  The correct answer for problem #2 will be needed to solve problem #3 (advanced algebra).  The correct answer for problem #3 will be needed to solve problem #4 (trigonometry/advanced topics).  Points are awarded to each team according to the length of time needed to obtain the correct answer to the fourth problem of each round.  Designation of team position is at the discretion of the team sponsor, but cannot vary once chosen.  Students do not have to be currently enrolled in any particular mathematics course for any team position.  The competition will be limited to a single team of four students from each school.

 

1.                  Solve: a + 3 = 7                       Note that only the first team member would actually see this problem.  Expect problems on the actual contest to be more difficult than these.

Answer: a =          

 

2.                  Let a = answer from #1.           This is the value for a as provided by the first team member.

Only the 2nd team member will see this problem.

 

Find the length of a side of a square whose area is a square feet.

 

Answer: b =           

 

3.                  Let b = answer from #2.           Note that the units of measurement are to be omitted on the answers.  Note that this problem can be almost completely worked before getting the answer b from the 2nd team member.

 

If 5 pencils cost $0.60 then m pencils can be purchased for $0.48.

Let c = b + m

 

Answer: c =         

 

4.                  Let c = answer from #3.

 

Evaluate: sin(15c)o                   Note that the letter d for the answers may not always appear in the  problem.

 

Answer: d =                                

Show this answer to the proctor.  Your answer for the 4th problem should always be in the simplest form.

 


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Calendar for APSU Science ExpOlympics - 2002

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