Download Math MACC-SWAC Set 5 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.
The vertices of a triangle are X(-2, -1), Y(2, 5) and Z(4, 3). What is the perimeter of the
triangle to the nearest whole number? Begin (17)
This is the second directed question.
2.
Simplify the following and give your answer as a mixed number in lowest terms:
1
1
1

 7  5 (read as negative seven and one half plus five and one third) Begin   2 
2
3
6

This is the third directed question.
3.
Mary’s mother is 8 more years old than twice her age. Her father is three years older than
her mother. If the sum of all their ages is 94 years, how old is Mary’s father? Begin (41)
This is the fourth directed question.
4.
Simplify:
1 3
5 3
(read as fraction with numerator one minus the square root of three and
43 3

denominator five plus the square root of three). Begin 

11


This is the fifth directed question.
5.
 1
What is the slope of a line that passes through points (-4, 0) and (0, -1)? Begin   
 4
This is the sixth directed question.
6.
A slice of carrot cake contains 1560 calories. This is three fourths of the average daily
calorie requirement for most adults. How many calories should these adults have per day?
Begin (2080)
This is the seventh directed question.
7.
What is the product of 5 + 7i and its conjugate? Begin (74)
MACC/SWAC Math Questions - Page 2
This is the eighth directed question.
8.
What is an equation of the line that contains the point (7, -2) and is parallel to 2x - 5y = 8?
4
2
24 

Begin  y  x   the improper fraction may be written as 4
5
5
5 

This is the ninth directed question.
9.

What is the tangent of a -780 degree angle? Begin  3

This is the tenth directed question.
10.
What is the equation for a parabola with vertex (0, 0) and focus (5, 0)? Begin (y2 = 20x or x
= one twentieth y squared))
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.
What is the contrapositive of the following statement and is it true or false: “All rectangles
are quadrilaterals.”? Begin (If a figure is not a quadrilateral, then it is not a rectangle true)
This is the second tossup question.
2.
Simplify
3
64 (read as the cube root of 64). Begin (4)
This is the third tossup question.
3.
For any two real numbers, a and b, exactly one of the following statements is true; a is less
than b, a is equal to b or a is greater than b. What type of property do these statements
describe? Begin (Trichotomy property or the property of order)
MACC/SWAC Math Questions - Page 3
This is the fourth tossup question.
4.
The temperature T in degrees Celsius is given by the function T of d = 35d +20 where d is
the depth in kilometers. What would the temperature be in degrees Celsius at a depth of 4
kilometers? Begin (160)
This is the fifth tossup question.
5.
What is the sequence of numbers called where each number equals the sum of the two
preceding numbers? Begin (Fibonacci or Fibonacci sequence)
This is the sixth tossup question.
6.

What is the square root of negative 18? Begin 3i 2
square root of two)

(read as three “eye” times the
This is the seventh tossup question.
7.
What is the distance between the points (-1, -5) and (-1, 2)? Begin (7)
This is the eighth tossup question.
8.
A scale on a map is 2 centimeters equals 160 miles. If the distance between two points on
the map is 4.1 centimeters and you were driving in a car at an average of 60 miles per hour,
how long would it take you, to the nearest hour, to drive between the two points? Begin (5)
This is the ninth tossup question.
9.
What property states for all real numbers a, b and c if a = b and b = c then a = c? Begin
(transitive)
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.
What is the slope of a line containing points A (-1, 6) and B (3, 2)? Begin (-1)
(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.):
MACC/SWAC Math Questions - Page 4
You have 20 seconds to answer this question:
1.
1


Solve for x:  (2 x  11) 2  5  (read as the quantity two x plus eleven the quantity to the one


half power equals five) Begin (7)
You have 20 seconds to answer this question:
2.
What is an algebraic relation showing that a quantity is greater than or less than another
quantity called? Begin (inequality)
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 are the focus and directrix of the parabola x2 = 12y Begin (focus is (0, 3) and directrix
is
y = - 3)
This is the second tiebreaker question. You have 10 seconds to answer the question.
2.
What type of triangle has two congruent sides? Begin (isosceles)
This is the third tiebreaker question. You have 10 seconds to answer the question.
3.
What is the sum of the interior angles of a regular hexagon? Begin (720o)