Download Math MACC-SWAC Set 19 2009

MACC/SWAC Math Questions
Both teams(A and B) are given the first ten questions. These are all 20-second questions. These
are then 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.
This is the first directed question.
1.
What are the next two terms of the geometric sequence 405, 135, 45, . . . ?Begin (15, 5)
This is the second directed question.
2.
A pyramid has a base that is a rectangle with length 6 centimeters and width 4 centimeters.
The height of the pyramid is 9 centimeters. What is its volume in cubic centimeters? Begin
(72)
This is the third directed question.
3.
2 x 2  14 x
12 x 3
Simplify: 2
(read as the quantity 2 x squared plus 14 x the quantity

x  2 x  35 x 2  25
divided by the quantity x squared plus 2x minus 35 divided by 12 x cubed divided by the
 x  5
quantity x squared minus 25) Begin  2 
 6x 
This is the fourth directed question.
4.
What are the coordinates of the foci of the hyperbola
x2 y2

 1 ? Begin (( 2 5 , 0) and
16 4
(- 2 5 , 0)
This is the fifth directed question.
5.
What is the area, in square centimeters, of a parallelogram with one side equal to 10
centimeters and another side equal to 12 centimeters with height 8 centimeters? Begin (96)
This is the sixth directed question.
6.
What is the for equation a circle, in standard form, with diameter endpoints (2, 7) and (-6,
15)?Begin ((x + 2)2 + (y – 11)2 = 32)
This is the seventh directed question.
7.
What is the sum of the measures of the interior angles of a 15-gon in degrees? Begin (2340)
MACC/SWAC Math Questions - Page 2
This is the eighth directed question.
8.
11 7
6


(read as eleven ninths minus seven over
9 2 w 5w
 110 w  423 
two w minus six over five w). Begin 

90 w


Simplify the following expression
This is the ninth directed question.
9.
In parallelogram MNPQ, segment MN is parallel to segment PQ. Angle N equals the
quantity x minus twenty degrees and angle Q equals the quantity four x plus fifteen
degrees. What is the correct value for x? Begin (37)
This is the tenth directed question.
10.
Write an equation for a parabola with focus (3, 8) and directrix y = 4. Begin
1


2
 y  ( x  3)  6 
8


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.
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.
2 3

In a 30-60-90 triangle, what is the secant of a 30 degree angle? Begin 

3


This is the second tossup question.
2.
For a quadratic equation in the form ax 2 + bx + c = 0, the value of b2 - 4ac is called the
what? Begin (discriminate)
This is the third tossup question.
3.
What is the positive acute angle formed between the terminal side of an angle and the x
axis called? Begin (reference or reference angle)
MACC/SWAC Math Questions - Page 3
This is the fourth tossup question.
4.
What is the circumference of a circle, in terms of “pie” centimeters, for a circle with radius
7 centimeters? Begin (14π)
This is the fifth tossup question.
5.
What is the secant of
3
radians? Begin (undefined)
2
This is the sixth tossup question.
6.
What is a correspondence between two sets, the domain and the range, that assigns to each
member of the domain exactly one member of the range called? Begin (function)
This is the seventh tossup question.
7.
 2
5
 (read as
(read as five fourths “pie”)? Begin 

4
 2 
negative the square root of 2 divided by 2)
What is the cosine (“co-sign”) of
This is the eighth tossup question.
8.
Evaluate log100.001 (read as log base ten of one thousandth). Begin (-3)
This is the ninth tossup question.
9.
What is the side opposite the right angle in a triangle called? Begin (hypotenuse)
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 a circle diameters BD and CE intersect in point A. Angle EAD is 42 degrees. What is the
measure of arc CD in degrees? Begin (138)
(SWAC 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.
What is the slope of the line that goes through the points (-3,2) and (3,2)? Begin (0)
MACC/SWAC Math Questions – Page 4
You have 20 seconds to answer this question:
2.
The terminal side of Angle  (thay-tah) is reached by starting at 0 degrees and going
8
(eight thirds) complete rotations clockwise. What is the angle measure of Angle  (thay3
 16
tah) in degrees and radians? Begin (-960 degrees and
)
3
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 most frequently occurring number in a frequency distribution called? Begin
(mode)
This is the second tiebreaker question. You have 10 seconds to answer the question.
2.
What are real numbers that cannot be expressed in the form a/b, where a and b are
integers called? Begin (irrational numbers or irrational)
This is the third tiebreaker question. You have 10 seconds to answer the question.
3.
What is the measure, in degrees, of an interior angle of a regular 9-gon? Begin (140)