Download Match 10 Mathematics 2010 - Wythe County Schools Moodle Site

MACC Math Questions
Use on Thursday, March 11, 2010 Set 10
Both teams(A and B) are given the first ten questions. These are all 20-second questions. Directed
math questions will be read twice by the emcee before time starts at “Begin”. There will be no
repeats on directed math questions. Directed questions are answered by writing the answer on the
answer sheet. When time has been called, the team captain will hand in one, and only one, answer
sheet. Make sure the answer is circled if the sheet contains more than the answer—for example if
you have worked the problem on the answer sheet. Once sheets are received by the emcee, none
can be changed or exchanged. There are only ten directed questions. Each team may score points
on each directed question.
Emcee must read both answers aloud for questions in the directed round.
This is the first directed question.
1.
If the formula for the surface area of a cylinder is SA equals 2 π (read as “pie”) r times the
quantity r plus h, what is the surface area of a cylinder in terms of “pie” in square
centimeters of a cylinder with radius 2 centimeters and height 4 centimeters? (MACC
emcees read question again.) Begin (24 π)
This is the second directed question.
2.
What is the slope of the line between the points (-4, 0) and (-4, 6)? (MACC emcees read
question again.) Begin (undefined or no slope)
This is the third directed question.
3.
1
(read as the log to the base fourteen of 1 over 196)? (MACC emcees
196
read question again.) Begin (-2)
What is the log14
This is the fourth directed question.
4.
Two fair dice, one colored red and one colored blue, are thrown. What is the probability
the score on the red die is neither 1 nor 2? (MACC emcees read question again.) Begin
2
 
3
This is the fifth directed question.
5.
2x  4 x  5

(read as the fraction with numerator two x minus
3 x  15 4 x  8
four and denominator three x plus fifteen the fraction times the fraction with numerator x
plus five and denominator four x minus eight) (MACC emcees read question again.) Begin
1
 
6
Simplify the expression
MACC Math Questions - Page 2
Use on Thursday, March 11, 2010 Set 10
This is the sixth directed question.
6.
Seth left school and traveled toward his friend's house. Eugene left two hours later
traveling at 40 kilometers per hour in an effort to catch up to Seth. After traveling for three
hours Eugene finally caught up. What was Seth's average speed in kilometers per hour?
(MACC emcees read question again.) Begin (24)
This is the seventh directed question.
7.
4  9i
(read as a fraction with numerator the
 6i
quantity four minus nine “eye” and denominator negative six “eye”) (MACC emcees read
 4i  9 
question again.) Begin 

 6 
Rationalize the imaginary denominator for
This is the eighth directed question.
8.
Solve the equation 8n2 - 4n = 18 (MACC emcees read question again.) Begin
 1  37 1  37 


 4 , 4 


This is the ninth directed question.
9.
Given the center of an ellipse is (6, -5), vertex is (6, 7) and the focus is (6, -5 – 6 3 ) (read
as six comma negative five minus six times the square root of three), what is the equation of
the ellipse in standard form? (MACC emcees read question again.) Begin
  x  6 2  y  5 2





1
 36

144


This is the tenth directed question.
10.
Simplify
4
405 x 3 y 2 (read as the fourth root of the quantity four hundred five x cubed y

squared) (MACC emcees read question again.) Begin 34 5 x 3 y 2

That ends the portion of the match with directed questions. Coaches, if you have any team
member substitutions, please send those team members to the stage at this time. (Note:
Allow time for substitutes to be seated, introduce substitute team members.)
Please remove all written notes from your team tables. Any new material written after the first
question begins may NOT be shared in any way. No form of conferring is allowed during
the tossup portion of the match. Conferring includes sharing of written or verbal
information or signals.
MACC Math Questions - Page 3
Use on Thursday, March 11, 2010 Set 10
We will now have ten tossup questions. They are all 10-second questions. Remember, the person
who buzzes in must give the answer immediately. Please wait until I recognize the team
before you give an answer. The penalty for buzzing in early and giving a wrong answer is
minus 2 points, and the question will then be reread in its entirety to the other team.
This is the first tossup question.
1.
In a right triangle with hypotenuse segment AB, the ratio of the measure of the hypotenuse
to the measure of the side opposite angle A is what trigonometric function? Begin
(cosecant)
This is the second tossup question.
2.
5 is 5% of what number? Begin (100)
This is the third tossup question.
3.
What is the general name of any segment which joins two points on a circle? Begin (Chord)
This is the fourth tossup question.
4.
Simplify 3 5  33 5 (read as three to the square root of five power the quantity times three to
the three times the square root of five power) Begin 34 5 (read as three to the four times
the square root of five power)
 
This is the fifth tossup question.
5.
What is the largest number common to each set of factors that divides a set of numbers
exactly? Begin (Greatest Common Factor or GCF)
This is the sixth tossup question.
6.
Two fair dice, one colored white and one colored red, are thrown. Find the probability that
 1 
the score on the red die is 2 and white die is 5? Begin  
 36 
This is the seventh tossup question.
7.
The set of all possible values of an independent variable of a function is called the
function’s what? Begin (domain)
This is the eighth tossup question.
8.
What is the sum of the first five terms of the geometric series for which a1 (a sub one) = 2
and r = 2? Begin (62)
MACC Math Questions – Page 4
Use on Thursday, March 11, 2010 Set 10
This is the ninth tossup question.
9.
12
(“sign”
13
of “they tah” equals twelve thirteenths), what is the cos  (read as co “sign” “thay tah”)?
5
Begin  
 13 
Theta,  , (read as “thay tah”) is an acute angle of a right triangle. If the sin  =
This is the tenth and final tossup question.
(Emcee note – if match is tied after this question go to the three tie breakers at the end of these
questions – use all three, even if tie is broken on first or second question!)
10.
In trigonometry, what does sin²x + cos²x (read as the “sign” squared of x plus the “cosign”
squared of x) equal? Begin (1)
(MACC Emcees – Ask if there are any appeals that need to be noted.)
EMERGENCY QUESTIONS (To be used in an emergency only –DO NOT USE AS EXTRA TIE
BREAKERS – but they can be used in place of tie breakers as they would be used if a
question has a mistake, if the emcee “flubs” a question, etc.):
You have 20 seconds to answer this question:
1.
3x
5 xy
 2 (read as the fraction with numerator three x and denominator ten y
2
10 y
4x
squared plus the fraction with numerator five x y and denominator four x squared) Begin
 6 x 2  25 y 3 


2
 20 xy

Simplify
You have 20 seconds to answer this question:
2.
Solve for n, 5 2 n 3  25 (read as five to the two n plus three power is less than twenty-five)
1

Begin  n    (read as n is less than negative one half or n is less than negative point five)
2

TIE BREAKERS(To be used in cases of tie games – use all three questions, even if the tie is
broken with the first or second question; in case teams are still tied at the end of these
three questions – the game remains a tie.):
This is the first tiebreaker question. You have 10 seconds to answer the question.
1.
 
What is the radian measurement of 5o (five degrees)? Begin   (read as “pie” thirty 36 
sixths)
MACC Math Questions – Page 5
Use on Thursday, March 11, 2010 Set 10
This is the second tiebreaker question. You have 10 seconds to answer the question.
2.
Evaluate a – b2 if a = 4 and b = 3. Begin (-5)
This is the third tiebreaker question. You have 10 seconds to answer the question.
3.
Find the slope-intercept form of an equation of the line that has a slope of 
3


through the point (8, 2). Begin  y   x  8 
4


3
and passes
4