Download Math MACC-SWAC Set 2 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. In right triangle ABC, angle C is the right angle, angle B is x degrees and angles A is
2x +21 degrees. What are the measures of angle A and angle B in degrees? Begin (angle
A = 67 , angle B =23)
This is the second directed question.
2.
What is the surface area in square inches of a rectangular prism with length 8 inches,
width 5 inches and height 4 inches? Begin (184)
This is the third directed question.
3.
a (b  2 )
(read as x equals the fraction with numerator a times the
c3
x(c  3)


 2  read as b
quantity b minus 2 and denominator c minus 3) for b. Begin  b 
a


equals x times the quantity c minus 3 over the quantity plus 2
Solve the formula x =
This is the fourth directed question.
4.
What is the converse of the statement: “If it is hot outside, then I am going inside.”? Begin (If
I am going inside, then it is hot outside.)
This is the fifth directed question.
5.
Evaluate the expression 7x -3y +2z
if x = -3, y = 1 and z = 2, Begin ( - 20 )
This is the sixth directed question.
3
6.
 45 x 4 y 2 
 (read as the fraction with numerator forty-five x to the negative 4 y
Evaluate 
8
 9z

squared and denominator nine z to the negative eight power the fraction to the negative
 x12 

three power). Begin 
6 24 
 125 y z 
This is the seventh directed question.
7.
What is the sum of the measures of the interior angles of a convex 32-gon? Begin (5400)
MACC/SWAC Math Questions - Page 2
This is the eighth directed question.
8.
A new sofa, love seat and coffee table cost $2050. The sofa costs twice as much as the love
seat. The sofa and the coffee table together cost $1450. How much does each piece of
furniture cost? Begin (sofa - $1200. love seat - $600, coffee table - $250)
This is the ninth directed question.
9.

What is the geometric mean between 6 and 15? Begin 3 10

This is the tenth directed question.
10.
Write the equation y 
2
x  1 in standard form Begin 2 x  3 y  3
3
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.
Which algebraic property is illustrated by the expression “If a × (b + c) = a × b + a ×
c”(read as a times the quantity b plus c equals a times b plus a times c)? Begin (distributive
property)
This is the second tossup question.
2. Three times one number added to five times another number is 54. The second number is two
less than the first. What are the two numbers? Begin ( 8 and 6 )
This is the third tossup question.
3.
What is the median of the set of numbers {9, 3, 7, 5, 6, 3, 7, 9}? Begin (6.5)
This is the fourth tossup question.
4.
What is the intersection of the lines containing the altitudes of a triangle called? Begin
(orthocenter)
MACC/SWAC Math Questions - Page 3
This is the fifth tossup question.
5.
Evaluate 8(5 – 3)3 – 20 (read as eight times the quantity five minus 3 the quantity cubed
minus 20). Begin (44)
This is the sixth tossup question.
6.
2 
What is the value of 120 degrees in radians? Begin   
3 
This is the seventh tossup question.
7.
What is the sum of the interior angles of a regular pentagon? Begin (540o)
This is the eighth tossup question.
8.
What is the solution of the system of equations 2x + y = 2 and x – y = 7? Begin (3, -4)
This is the ninth tossup question.
9.
What is the equation of the axis of symmetry of the parabola with equation y = (x – 3)2 – 4?
Begin (x = 3)
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.
For any real numbers a, b, and c, a + (b + c) = (a + b) + c (read as a plus the quantity b plus
c is equal to the quantity a + b the quantity plus c) represents which property of addition?
Begin (associative)
(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 drafting instrument is used in geometry for drawing circles and bisecting angles?
Begin (compass)
You have 20 seconds to answer this question:
2. What is the sign(spell this word) value of cosine in the 2nd quadrant? Begin (negative)
MACC/SWAC Math Questions – Page 4
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 a conic section with the property that rays directed toward one focus are reflected
toward the other focus? Begin (hyperbola)
This is the second tiebreaker question. You have 10 seconds to answer the question.
2.
Simplify the following and give your answer as a mixed number in lowest terms:
3
2

 4  (read as negative four divided by three halves) Begin   2 
2
3

This is the third tiebreaker question. You have 10 seconds to answer the question.
3.
What is a special type of relation in which each element of the domain is paired with
exactly one element of the range? Begin (function)