Indiana Academic Super Bowl
Math Round
2017 – Senior Division - Area
A Program of the Indiana Association of School Principals
Emcee:
Please ask Proctors to check student
calculators at this time. The only
calculators allowed during this
competition are the following models:
TI-30Xa and TI-30X IIS
If someone at your table has a different
model, raise your hand for a
procedural official.
SD-A-M-1
20 seconds
What type of graph is represented by the
equation x2 – y2 + 16x + 24y = 82?
A.
B.
C.
D.
parabolic
hyperbolic
elliptical
circular
SD-A-M-1
What type of graph is represented by the
equation x2 – y2 + 16x + 24y = 82?
B. hyperbolic
SD-A-M-2
Expand the following:
A.
B.
C.
D.
20 seconds
SD-A-M-2
Expand the following:
C.
SD-A-M-3
20 seconds
Which mathematician and post-Revolution
Minister of the Marine is credited with the
foundation of technical drawing and
differential geometry?
A. Pierre-Simon Laplace
B. Gaspard Monge
C. Augustin-Louis Cauchy
D. Jean-Charles de Borda
SD-A-M-3
Which mathematician and post-Revolution
Minister of the Marine is credited with the
foundation of technical drawing and
differential geometry?
B.
Gaspard Monge
SD-A-M-4
40 seconds
Find the slope for the best-fit line through
the following points: (0, 5), (3, 2), (4, 0)
A.
B.
C.
D.
SD-A-M-4
Find the slope for the best-fit line through
the following points: (0, 5), (3, 2), (4, 0)
B.
SD-A-M-5
Describe the series:
A.
B.
C.
D.
arithmetic and convergent
arithmetic and divergent
geometric and convergent
geometric and divergent
20 seconds
SD-A-M-5
Describe the series:
B.
arithmetic and divergent
SD-A-M-6
20 seconds
Given the following function
f(x) = 2x5 – 3x4 – x3 + 5x2 + 1,
how many possible positive and negative
solutions exist?
A. 2, 0 positive; 1 negative
B. 5, 3, -1 positive; 0 negative
C. 2, 0 positive; 0 negative
D. 5, 3, 1 positive; 0 negative
SD-A-M-6
Given the following function
f(x) = 2x5 – 3x4 – x3 + 5x2 + 1,
how many possible positive and negative
solutions exist?
A. 2, 0 positive; 1 negative
SD-A-M-7
30 seconds
In the expansion of (a3 – 2)10, what is
the term containing a18?
A.
B.
C.
D.
8064a18
3360a18
960a18
210a18
SD-A-M-7
In the expansion of (a3 – 2)10, what is
the term containing a18?
B. 3360a18
SD-A-M-8
40 seconds
What is the approximate area in square units
of a regular hexagon with side of 8 units?
A.
B.
C.
D.
166
154
148
136
SD-A-M-8
What is the approximate area in square units
of a regular hexagon with side of 8 units?
A.
166
SD-A-M-9
20 seconds
During the French Revolution, French
mathematicians attempted the decimalization of all
units including time. This system consisted of a day
where there were 10 hours in a day, with 100 minutes
in an hour, and 100 seconds in a minute. If you
normally eat dinner at 6:45 p.m., what time would
you most likely eat dinner under this system?
A. 7:20
B. 7:40
C. 7:60
D.
7:80
SD-A-M-9
During the French Revolution, French
mathematicians attempted the decimalization of all
units including time. This system consisted of a day
where there were 10 hours in a day, with 100 minutes
in an hour, and 100 seconds in a minute. If you
normally eat dinner at 6:45 p.m., what time would
you most likely eat dinner under this system?
D.
7:80
SD-A-M-10
20 seconds
As the French began to standardize the units of the
new metric system, what length did they use as a
basis for the meter?
A. a single pendulum beating at a rate of one
second at a latitude of 45°
B. one-millionth of one quarter of the equator
C. one three-hundredth of the height of the
Eiffel Tower
D. one ten-millionth of the distance from the
equator to the North Pole
SD-A-M-10
As the French began to standardize the units of the
new metric system, what length did they use as a
basis for the meter?
D.
one ten-millionth of the distance from the
equator to the North Pole
SD-A-M-11
20 seconds
The function h = -0.01x2 + 0.9x models the height
in feet h of a soccer ball as it travels a distance x
in feet. What is the maximum height of the ball
based on the model and image provided?
A.
B.
C.
D.
15.50 ft
17.25 ft
18.50 ft
20.25 ft
90’
SD-A-M-9
The function h = -0.01x2 + 0.9x models the height
in feet h of a soccer ball as it travels a distance x
in feet. What is the maximum height of the ball
based on the model and image provided?
90’
D.
20.25 ft
SD-A-M-12
20 seconds
Marquis de Condorcet was a renowned philosopher and
mathematician who produced and influenced many
significant works during the French Revolution. One of
his greatest influences prior to his arrest and death, the
Condorcet Method produced many workable derivatives
that are still in use today. This method was originally
designed to _________.
A.
calculate the volume and surface area of a
tetrahedron
B.
determine voter preferences in elections
C.
calculate and predict the motion of celestial bodies
D.
calculate the heat transfer of objects
SD-A-M-12
Marquis de Condorcet was a renowned philosopher and
mathematician who produced and influenced many
significant works during the French Revolution. One of
his greatest influences prior to his arrest and death, the
Condorcet Method produced many workable derivatives
that are still in use today. This method was originally
designed to _________.
B.
determine voter preferences in elections
SD-A-M-13
30 seconds
Which series is NOT convergent?
A.
1 – 0.5 + 0.25 – 0.125 + …
B
C.
D.
500 + 200 + 80 + 32 + …
SD-A-M-13
Which series is NOT convergent?
D.
SD-A-M-14
40 seconds
In the expansion of (x2 – 2y)7, what is
the coefficient of x8y3?
A.
B.
C.
D.
-280
-560
-672
-448
SD-A-M-14
In the expansion of (x2 – 2y)7, what is
the coefficient of x8y3?
A. -280
SD-A-M-15
30 seconds
Estimate the area of the given circle:
x2 – 14x + y2 + 8y = 90
A.
B.
C.
D.
480 sq units
520 sq units
560 sq units
600 sq units
SD-A-M-15
Estimate the area of the given circle:
x2 – 14x + y2 + 8y = 90
A. 480 sq units
SD-A-M-16
30 seconds
What is the area of a square in square
decimeters if each side measures
7 inches? (1 cm = 0.3937 in)
A.
B.
C.
D.
3161.3
316.13
31.61
3.16
SD-A-M-16
What is the area of a square in square
decimeters if each side measures
7 inches? (1 cm = 0.3937 in)
D. 3.16
SD-A-M-17
20 seconds
Which famous royalist mathematician
taught at the École Polytechnique and is
said to have more concepts named for
him than any other known
mathematician?
A. Augustin-Louis Cauchy
B. Pierre-Simon Laplace
C. Joseph Fourier
D. Joseph-Louis Lagrange
SD-A-M-17
Which famous royalist mathematician
taught at the École Polytechnique and is
said to have more concepts named for
him than any other known
mathematician?
A. Augustin-Louis Cauchy
SD-A-M-18
20 seconds
A tetrahedron of pure aluminum has an edge
length of 3.00 cm. What is the mass of the
solid? (The density of aluminum is
2.7 g/cm3).
A.
B.
C.
D.
7.92 g
8.24 g
8.59 g
9.24 g
SD-A-M-18
A tetrahedron of pure aluminum has an edge
length of 3.00 cm. What is the mass of the
solid? (The density of aluminum is
2.7 g/cm3).
C.
8.59 g
SD-A-M-19
40 seconds
Find the sum of the infinite geometric
series
A. it is divergent, there is no sum
B.
C.
-3
D.
SD-A-M-19
Find the sum of the infinite geometric
series
C.
SD-A-M-20
30 seconds
A family of 5 has a single bathroom home.
The shower uses 8,330 cubic centimeters
of water per minute. If each member
showers each day for an average of 9
minutes, what would their average weekly
shower water usage be in liters?
A. 2,623,950 liters
B. 262,395 liters
C. 26,239.5 liters
D. 2,623.95 liters
SD-A-M-20
A family of 5 has a single bathroom home.
The shower uses 8,330 cubic centimeters
of water per minute. If each member
showers each day for an average of 9
minutes, what would their average weekly
shower water usage be in liters?
D. 2,623.95 liters
SD-A-M-21
20 seconds
How many complex roots can be
expected in the problem
f(x) = 2x4 + 5x2 – 16x?
A.
B.
C.
D.
0
1
2
4
SD-A-M-21
How many complex roots can be
expected in the problem
f(x) = 2x4 + 5x2 – 16x?
C. 2
SD-A-M-22
30 seconds
Determine an equation in standard form
of a line tangent to a circle with center at
the origin and radius of 15 at the point
(-9, 12).
A. y = ¾x + 75
B. 3x – 4y = 75
C.
3x – 4y = -75
D.
-3x – 4y = 75
SD-A-M-22
Determine an equation in standard form
of a line tangent to a circle with center at
the origin and radius of 15 at the point
(-9, 12).
C.
3x – 4y = -75
SD-A-M-23
40 seconds
A bridge is to be built using a semielliptical
design. From the center of the bridge to
either end is 37.5 meters. If the bridge is 12
meters high 25 meters from the center, how
high is the bridge in the center?
A. approximately 14 meters
B. approximately 16 meters
C. approximately 18 meters
D. approximately 20 meters
SD-A-M-23
A bridge is to be built using a semielliptical
design. From the center of the bridge to
either end is 37.5 meters. If the bridge is 12
meters high 25 meters from the center, how
high is the bridge in the center?
B.
approximately 16 meters
SD-A-M-24
40 seconds
What is the constant term in the expansion
of
A.
B.
C.
D.
135
540
1215
1458
SD-A-M-24
What is the constant term in the expansion
of
B.
540
SD-A-M-25
40 seconds
Which coordinate (x, y) from the list below
would make the slope of the best-fit line
through the following points negative?
(-2, 0), (2, 0), (x, y)
A.
B.
C.
D.
(-3, 3)
(3, 3)
(-3, -3)
(-3, 0)
SD-A-M-25
Which coordinate (x, y) from the list below
would make the slope of the best-fit line
through the following points negative?
(-2, 0), (2, 0), (x, y)
A.
(-3, 3)