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32 Cards in this Set

  • Front
  • Back

The length of a rectangle with area 54 squarecentimeters is 9


centimeters. What is the perimeter ofthe rectangle, in centimeters?




F. 6


G. 12


H. 15


J. 24


K. 30

K. 30

In the figure below, C is the 
intersection of line segment  AD and line segment BE.If it can be determined, what is the measure 
of																			∠BAC?
 
A.  80° 
B. 100° 
C. 110° 
D. 115° 
E. Cannot be determined from the  given inform...

In the figure below, C is the


intersection of line segment AD and line segment BE.If it can be determined, what is the measure


of ∠BAC?



A. 80°


B. 100°


C. 110°


D. 115°


E. Cannot be determined from the given information





B. 100°

Antwan drew the circle graph
 below describing histime spent at school in 1 day. His teacher said that thenumbers of hours listed were correct, but that thecentral angle measures for the sectors were not correct.What should be the central angle 
m...

Antwan drew the circle graph


below describing histime spent at school in 1 day. His teacher said that thenumbers of hours listed were correct, but that thecentral angle measures for the sectors were not correct.What should be the central angle


measure for the Coresubjects sector?




F. 072°


G. 080°


H. 160°


J. 200°


K. 288°

H. 160°

																																		A.  43°
 B.  47° 
 C.  94° 
 D. 133° 
 E. 137°

A. 43°


B. 47°


C. 94°


D. 133°


E. 137°

D. 133°

For trapezoid ABCD shown below, AB || DC , themeasures of the
 interior angles are distinct, and themeasure of ∠D is x°. What is the 
degree measure of 																					∠A in terms of x?

For trapezoid ABCD shown below, AB || DC , themeasures of the


interior angles are distinct, and themeasure of ∠D is x°. What is the


degree measure of ∠A in terms of x?



In the figure shown below, the measure of ∠BAC is(x + 20)° and the measure of ∠BAD is 90°. What is the 																					measure of ∠CAD?


F)  (x − 70)°
G) (70 − x)°
H) (70 + x)° 
J) (160 − x)°
K)  (160 + x)°

In the figure shown below, the measure of ∠BAC is(x + 20)° and the measure of ∠BAD is 90°. What is the measure of ∠CAD?




F) (x − 70)°


G) (70 − x)°


H) (70 + x)°


J) (160 − x)°


K) (160 + x)°

G) (70 − x)°

What is the perimeter, in inches, of the isosceles righttriangle shown below, whose hypotenuse is 8√2 incheslong?																					


A.  8 

B.  8+ 8√2 
C. 8+16√2  
D. 16 
E. 16+ 8√2

What is the perimeter, in inches, of the isosceles righttriangle shown below, whose hypotenuse is 8√2 incheslong?




A. 8


B. 8+ 8√2


C. 8+16√2


D. 16


E. 16+ 8√2



E. 16+ 8√2

The radius of the base of the right circular cone shownbelow is 5 inches, and the height of the cone is7 inches. Solving which of the following equationsgives the measure, θ, of the angle formed by a slantheight of the cone and a radius?									...

The radius of the base of the right circular cone shownbelow is 5 inches, and the height of the cone is7 inches. Solving which of the following equationsgives the measure, θ, of the angle formed by a slantheight of the cone and a radius?




F) tan θ= 5/7


G) tan θ= 7/5


H) sin θ= 5/7


J) sin θ= 7/5


K) cos θ= 7/5

G) tan θ= 7/5

Gianna is converting a 
12-foot-by-15-foot room in her
house to a craft room. Gianna will install tile herself but
will have CC Installations build and install the cabinets.
The scale drawing shown below displays the location of the
cabinets ...

Gianna is converting a


12-foot-by-15-foot room in herhouse to a craft room. Gianna will install tile herself butwill have CC Installations build and install the cabinets.The scale drawing shown below displays the location of thecabinets in the craft room (0.25 inch represents 2 feet).



Cabinets will be installed along one of the 12-foot wallsfrom floor to ceiling, and 4 cabinets that are each 3 feet tallwill be installed in the middle of the room. These are theonly cabinets that will be installed, and each of them willbe 2 feet wide and 2 feet deep. CC Installations has


givenGianna an estimate of $2,150.00 for building and


installingthe cabinets.




Gianna will install tile on the


portion of the floor that will NOT be covered by cabinets. What is the area, in square feet, of the portion of the floor that will NOT be covered by cabinets?




F. 072


G. 090


H. 140


J. 156


K. 164

H. 140

Which of the following vertical lines cuts ABCD into2 trapezoids with equal areas?





A. x=2.5


B. x=3.5


C. x=4.5


D. x=5.5


E. x=6.5

E. x=6.5

You can find the volume of an irregularly shaped solidobject by completely submerging it in water andcalculating the volume of water the object displaces.You completely submerge a solid object in a


rectangular tank that has a base 40 centimeters by30 centimeters and is filled with water to a depth of20 centimeters. The object sinks to the bottom, and thewater level goes up 0.25 centimeters. What is the


volume, in cubic centimeters, of the object?





F) 300


G) 240


H) 200


J) 150


K) 75

F) 300

A formula for the surface area (A) of the rectangularsolidshownbelowisA=2lw+2lh+2wh where 
lrepresents length; w, width; and h, height. By doublingeach of the dimensions (l, w, and h), the surface areawill be multiplied by what factor?												...

A formula for the surface area (A) of the rectangularsolidshownbelowisA=2lw+2lh+2wh where


lrepresents length; w, width; and h, height. By doublingeach of the dimensions (l, w, and h), the surface areawill be multiplied by what factor?


A. 2


B. 4


C. 6


D. 8


E. 12

B. 4

The functions y=sin,x and y=sin(x+a)+b, forconstants a and b, are graphed in the standard (x,y)coordinate plane below. The functions have the same
 maximum value. One of the
 following statementsabout the values of a and b is true. Which statement...

The functions y=sin,x and y=sin(x+a)+b, forconstants a and b, are graphed in the standard (x,y)coordinate plane below. The functions have the same


maximum value. One of the


following statementsabout the values of a and b is true. Which statement isit?




A. a<0 and b=0


B. a<0 and b>0


C. a=0 and b>0


D. a>0 and b<0


E. a>0 and b>0



A. a<0 and b=0

The sides of an acute triangle measure 14 cm, 18 cm,and 20 cm, respectively. Which of the followingequations, when solved for θ, gives the measure of thesmallest angle of the triangle?

The sides of an acute triangle measure 14 cm, 18 cm,and 20 cm, respectively. Which of the followingequations, when solved for θ, gives the measure of thesmallest angle of the triangle?

In the 8-sided figure below,
 adjacent sides meet at
right 
angles and the lengths given are in meters. What
is the perimeter of the figure, in meters?
A. 40 
B. 80 
C. 120 
D. 160 
E. 400                

In the 8-sided figure below,


adjacent sides meet atright


angles and the lengths given are in meters. Whatis the perimeter of the figure, in meters?


A. 40


B. 80


C. 120


D. 160


E. 400

B. 80

What is the length, in feet, of the hypotenuse of a right
triangle with legs that are 6 feet long and 7 feet long,
respectively?

				
			
		
	

  
        

What is the length, in feet, of the hypotenuse of a righttriangle with legs that are 6 feet long and 7 feet long,respectively?




Hexagon ABCDEF shown below was drawn on a grid
with unit squares. Each vertex is at the
 intersection of
2 grid lines. What is the area of the hexagon, in square
units?

				
			
		
	


A) 18
B) 19
C) 20
D) 22
E) 25

Hexagon ABCDEF shown below was drawn on a gridwith unit squares. Each vertex is at the


intersection of2 grid lines. What is the area of the hexagon, in squareunits?




A) 18


B) 19


C) 20


D) 22


E) 25

C) 20

line segment AD is perpendicular to line segment BD,




and line segment AC is


perpendicular to line segment BC,




and line segment AD is congruent to line segment BC,




Which of the following


congruences is NOT necessarily true?

In the figure below, A, D, B, and G are collinear. If
∠CAD measures 76°, ∠BCD measures 47°, and ∠CBG
measures 140°, what is the degree measure of ∠ACD ?    
F. 12° 
G. 14° 
H. 17° 
J. 36° 
K. 43°
In the figure below, A, D, B, and G are collinear. If∠CAD measures 76°, ∠BCD measures 47°, and ∠CBGmeasures 140°, what is the degree measure of ∠ACD ?



F. 12°


G. 14°


H. 17°


J. 36°


K. 43°

H. 17°

Which of the following trigonometric equations is
valid for the side measurement x inches, diagonal measurement y inches, and angle measurement w° in the
rectangle shown below?                
A. cos w°= x/y
B. cot w°= x/y
C  s e...
Which of the following trigonometric equations isvalid for the side measurement x inches, diagonal measurement y inches, and angle measurement w° in therectangle shown below?





A. cos w°= x/y


B. cot w°= x/y


C s e c w ° = x/y


D s i n w ° = x/y


E tan w°= x/y

D s i n w ° = x/y

The youth center has installed a swimming pool on level
ground. The pool is a right circular 
cylinder with a diameter
of 24 feet and a height of 6 feet. A 
diagram of the pool and
its entry 
ladder is shown to the left.

To the nearest cubi...

The youth center has installed a swimming pool on levelground. The pool is a right circular


cylinder with a diameterof 24 feet and a height of 6 feet. A


diagram of the pool andits entry


ladder is shown to the left.




To the nearest cubic foot, what is the volume of waterthat will be in the pool when it is filled with water to adepth of 5 feet?




(Note: The volume of a cylinder is given by πr^2h,where r is the


radius and h is the height.)




A) 942


B) 1,885


C) 2,262


D) 9,047


E) 11,310

C) 2,262

A plastic cover is made for the pool. The cover will
rest on the top of the pool and will include a
wedge-shaped flap that forms a 45° angle at the center
of the
cover, as shown in the figure 
below. A zipper
will go along 1 side of the wedg...

A plastic cover is made for the pool. The cover willrest on the top of the pool and will include awedge-shaped flap that forms a 45° angle at the centerof the


cover, as shown in the figure


below. A zipperwill go along 1 side of the wedge-shaped flap and around the arc. Which of the following is closest to thelength, in feet, of the zipper?




F. 17


G. 22


H. 24


J. 29


K. 57

G. 22

The directions for assembling the pool state that the
ladder should be placed at an angle of 75° 
relative to
level ground. Which of the following expressions 
involving tangent gives the distance, in feet, that the
bottom of the ladder shou...

The directions for assembling the pool state that theladder should be placed at an angle of 75°


relative tolevel ground. Which of the following expressions


involving tangent gives the distance, in feet, that thebottom of the ladder should be placed away from thebottom edge of the pool in order to comply with the


directions?

The parallel sides of the isosceles trapezoid shown
below are 10 feet long and 16 feet long, respectively.
What is the distance, in feet, between these 2 sides?
A. 3 
B. 4 
C. 5 
D. 10 
E. 16                

The parallel sides of the isosceles trapezoid shownbelow are 10 feet long and 16 feet long, respectively.What is the distance, in feet, between these 2 sides?


A. 3


B. 4


C. 5


D. 10


E. 16

B. 4

In the figure below, line l is 
parallel to line m. Transversals t and u intersect at point A on l and intersect m
at points C and B, 
respectively. Point X is on m, the
measure of ∠ACX is 130°, and the measure of ∠BAC is
80°. How many...

In the figure below, line l is


parallel to line m. Transversals t and u intersect at point A on l and intersect mat points C and B,


respectively. Point X is on m, themeasure of ∠ACX is 130°, and the measure of ∠BAC is80°. How many of the angles formed by rays of l, m, t,and u have


measure 50° ?




A. 4


B. 6


C. 8


D. 10


E. 12

C. 8

For the triangle in the figure, which of the following ratios of side lengths is equivalent to the ratioof the perimeter of triangle 􏰄ABC to the perimeter of 􏰄triangle DAB?




F . AB:AD


G. AB:BD


H. AD:BD


J. BC:AD


K. BC:BD

F . AB:AD

In the figure below, 2 nonadjacent sides of a regularpentagon (5 congruent sides and 5 congruent interiorangles) are extended until they meet at point X. Whatis the measure of ∠X ?



A. 18°


B. 30°


C. 36°


D. 45°


E. 72°

C. 36°

The edges of a cube are each 3 inches long. What is thesurface area, in square inches, of this cube?


F.9


G. 18


H. 27


J. 36


K. 54

K. 54

For a project in Home Economics class, Kirk ismaking a tablecloth for a circular table 3 feet indiameter. The finished tablecloth needs to hang down5 inches over the edge of the table all the way around.To finish the edge of the tablecloth, Kirk will foldunder and sew down 1 inch of the material all aroundthe edge. Kirk is going to use a single piece of rectan-gular fabric that is 60 inches wide. What is the shortestlength of fabric, in inches, Kirk could use to make thetablecloth without putting any separate pieces of fabrictogether?


F. 15


G. 24


H. 30


J. 42


K. 48

K. 48

F. 0
G. 1 
H. 2 
J. –tan x 
K. sin 2x

				
			
		
	
 

F. 0


G. 1


H. 2


J. –tan x


K. sin 2x

H. 2

The triangle, 􏰄XYZ, that is shown below has side lengths of x, y, and z inches and is not a right triangle. Let X′ be the image of X when the triangle is reflected across YZ . Which of the following is an expression forthe perimeter, in inches, of quadrilateral X′YXZ ?




F) 2(y+z)+x


G) 2(x+y+z)


H) 2(x+y)


J) 2(x+z)


K) 2(y+z)

K) 2(y+z)