is equilateral. BD is an altitude. Which triangles are congruent? Why?

	a. , SSS
	b. , ASA
	c. , SAS
	d. , AAS
	e. All of these

.

A circle has a circumference of units. If it has an arc with length units, what is the measure of the central angle of the arc in degrees?

	a. 22.5°
	b. 67.5°
	c. 78.5°
	d. 87.5°
	e. 90°

.

A cube has a volume of 64 cubic feet. What is the surface area of this cube?

	a. 9 square feet
	b. 54 square feet
	c. 81 square feet
	d. 486 square feet
	e. Cannot be determined

.

A is the midpoint of , where and . Find x and .

	a. x = 6, BC = 86
	b. x = 6, BC = 43
	c. x = 2.5, BC = 44
	d. x = 1.5, BC = 32
	e. x = 2.5, BC = 16

.

A rectangle has a diagonal of 30 units and divides the figure into two congruent 30-60-90 triangles. What is the length of the short side and the long side of the rectangle?

	a. Short side = units; long side = 15 units
	b. Short side = 15 units; long side = units
	c. Short side = units; long side = units
	d. Short side = units; long side = units
	e. Short side = units; long side = 15 units

.

A square pyramid has a base 24 inches by 24 inches and a height of 5 inches. Find the surface area and the volume.

	a. SA = 1,200 square inches; V = 2,880 cubic inches
	b. SA = 1,200 square inches; V = 960 cubic inches
	c. SA = 816 square inches; V = 2,880 cubic inches
	d. SA = 816 square inches, V = 960 cubic inches
	e. SA = 1,058 square inches; V = 960 cubic inches

.

Ana is going to have a birthday party at the local ice-skating rink. She is only going to invite girls from her class. There are seven girls in the class, but her parents say she can only invite four people. How many combinations of friends can she invite?

	a. 8
	b. 27
	c. 35
	d. 210
	e. 840

.

Are the following triangles similar?

	a. Yes,
	b. Yes,
	c. Yes,
	d. No
	e. Cannot be determined

.

Are the following triangles similar?

	a. Yes,
	b. Yes,
	c. Yes,
	d. No
	e. Cannot be determined

.

Circle M has chords and . Additionally, . What is ?

	a. 20°
	b. 40°
	c. 80°
	d. 100°
	e. 200°

.

Circle O has tangents and , that intersect at J and M , and . What is ?

	a. 27°
	b. 36°
	c. 54°
	d. 90°
	e. 108°

.

Circle R has a radius of 10 inches. If it has a central angle of 225°, what is the exact arc length?

	a. inches
	b. inches
	c. inches
	d. inches
	e. inches

.

Find w and z .

	a. w = 15, z = 30
	b. w = 17.5, z = 21.5
	c. w = 17.5, z = 35
	d. w = 20, z = 12.5
	e. w = 22.5, z = 3.75

.

From a deck of cards that has a length of inches, you take two cards and lean them together to create an equilateral triangle. What is the height of the triangle?

	a. inches
	b. inches
	c. inches
	d. inches
	e. inches

.

From the top of Samantha’s head to the top of her shadow on the ground is 3.22 feet, and the length of her shadow is 2.9 feet. If the shadow of a flagpole is 11.3 feet, what is the approximate distance from the top of the pole to the top of its shadow?

	a. 3.5 feet
	b. 7 feet
	c. 12 feet
	d. 13 feet
	e. 177 feet

.

Given A (6, 5), B (2, -2), C (5, -2), and D (9, 1), classify quadrilateral ABCD .

	a. Square
	b. Parallelogram
	c. Rhombus
	d. Kite
	e. Rectangle

.

Given D (0, -4), E (-1, 3), F (4, 4), and G (5, -3), classify quadrilateral DEFG .

	a. Quadrilateral
	b. Rhombus
	c. Square
	d. Trapezoid
	e. Rectangle

.

Given K (9, -2), C (-3, 4), and that F is the midpoint of , find KF .

	a. units
	b. units
	c. units
	d. units
	e. units

.

Given that , , and , find the length of BC .

	a.
	b. 6
	c.
	d.
	e. 12

.

Given that in the figure below, , which congruency proves that there are congruent triangles?

	a. because of AAS
	b. because of AAS
	c. because of AAA
	d. A and C
	e. Cannot be determined

.

Given the figure below with parallelogram ABCD, what is the value of x ?

	a. 5
	b. 16
	c. 17
	d. 52
	e. 128

.

Given the figure below with parallelogram ABCD, what is the value of y ?

	a. 13
	b. 16
	c. 32
	d. 52
	e. 64

.

Given the parallelogram below, determine the value of y .

	a. 17
	b. 25
	c. 52.25
	d. 71
	e. 109

.

Given triangle CAT with vertices C (6, 3), A (0, 6), and T (1, -1), find the equation of the median passing through A .

	a.
	b.
	c.
	d.
	e.

.

Given triangle SIT with vertices S (7, -1), I (3, 6) and T (-2, 2), find the equation of the altitude passing through S .

	a.
	b.
	c.
	d.
	e.

.

Given triangle XYZ with vertices X (-2, 3), Y (4, -4), and Z (7, 5), find the perimeter of the figure, to the nearest tenth.

	a. 24 units
	b. 24.9 units
	c. 25 units
	d. 25.2 units
	e. 27 units

.

Given X (4, -4), Y (-10, 6), and that Z is the midpoint of , find XZ .

	a. units
	b. units
	c. 8.5 units
	d. units
	e. 17 units

.

How many capital letters of the alphabet, when placed in Quadrant I, can be reflected over the x-axis and will still be in the correct position to read?

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

	a. 8
	b. 9
	c. 10
	d. 11
	e. 13

.

If , which triangles are congruent? Why?

	a. , SSS
	b. , ASA
	c. , SAS
	d. , AAS
	e. Cannot be determined

.

If the sector of a circle has an area of units² and a central angle of 30°, what is the area of the whole circle?

	a. units2
	b. units2
	c. units2
	d. units2
	e. units2

.

In a baseball field, the distance from one base to the next is 90 feet and the four bases create a square. What is the exact distance from first to third base?

	a. feet
	b. feet
	c. 90 feet
	d. feet
	e.

.

In circle P, given that angle PCB has a measure of 36° , find arc length BC .

	a. 36°
	b. 54°
	c. 72°
	d. 108°
	e. 144°

.

In the figure below, find the value of a rounded to the hundredths place, given that A is 64°, c is 10 cm, and b is 16 cm.

	a. 11.84
	b. 12.48
	c. 12.81
	d. 14.38
	e. 15.10

.

Jenny has eight necklaces that she loves. For her vacation, she will only bring three. How many different possibilities of three necklaces can she bring?

	a. 24
	b. 56
	c. 216
	d. 280
	e. 512

.

Line a and line b are perpendicular. If the equation of line a is , which of the following could be the equation of line b ?

	a.
	b.
	c.
	d.
	e.

.

Nina is baking cakes. She has one cake tin that has a depth of 4 inches and a diameter of 20 inches. She is going to make CAKE A and CAKE B. For CAKE B, Nina is going to cut out a piece of cake from the middle that has a diameter of 6 inches. She is going to buy frosting to cover each cake but first needs to know the amount of surface she will cover. What is the total area of cake surface that Nina needs to cover CAKE A, to the nearest square inch?

	a. 180 in2
	b. 280 in2
	c. 565 in2
	d. 880 in2
	e. 1,508 in2

.

Nina is baking cakes. She has one cake tin that has a depth of 4 inches and a diameter of 20 inches. She is going to make CAKE A and CAKE B. For CAKE B, Nina is going to cut out a piece of cake from the middle that has a diameter of 6 inches. Once this piece of cake is removed, what is the volume of CAKE B, to the nearest cubic inch?

	a. 176 in3
	b. 1,144 in3
	c. 1,228 in3
	d. 4,913 in3
	e. 4,998 in3

.

Nina is baking cakes. She has one cake tin that has a depth of 4 inches and a diameter of 20 inches. She is going to make CAKE A and CAKE B. For CAKE B, Nina is going to cut out a piece of cake from the middle that has a diameter of 6 inches. To buy frosting for CAKE B, what is the total area of cake surface that Nina needs to cover, to the nearest square inch?

	a. 537 in2
	b. 613 in2
	c. 641 in2
	d. 898 in2
	e. 927 in2

.

Nina is baking cakes. She has one cake tin that has a depth of 4 inches and a diameter of 20 inches. She is going to make CAKE A and CAKE B. For CAKE B, Nina is going to cut out a piece of cake from the middle that has a diameter of 6 inches. One container of frosting costs $3.98 and covers 150 square inches of cake. How much money must Nina spend in total to frost both of the cakes?

	a. $7.85
	b. $14.99
	c. $16.26
	d. $29.98
	e. $31.26

.

Nina is baking cakes. She has one cake tin that has a depth of 4 inches and a diameter of 20 inches. She is going to make CAKE A and CAKE B. What is the volume of CAKE A, to the nearest cubic inch?

	a. 251 in3
	b. 503 in3
	c. 1,257 in3
	d. 2,513 in3
	e. 5,027 in3

.

Point Q is between points P and R. If , , and , what is the length of PQ?

	a. 2
	b. 2.5
	c. 18
	d. 20
	e. 0

.

Points J (-3,4) and Z (6,-2) lie on the same line. Which equation represents lines perpendicular to line JZ?

	a.
	b.
	c.
	d.
	e.

.

Rhombus GHJK ~ Rhombus WXYZ, where and . What is the scale factor?

	a. 1/4
	b. 4
	c. 5
	d. 20
	e. 100

.

The following cone is being filled with water at a rate of cubic inch per second. How long will it take to fill the cone?

	a. 210.25 seconds
	b. 630.75 seconds
	c. 780 seconds
	d. 841 seconds
	e. 2,523 seconds

.

The following dartboard is made of one large circle with a circumference of inches and a smaller inner circle with a circumference of inches, divided into eight equal sectors. What is the area of the whole dartboard?

	a. units2
	b. units2
	c. units2
	d. units2
	e. units2

.

The following dartboard is made of one large circle with a circumference of inches and a smaller inner circle with a circumference of inches, divided into eight equal sectors. What is the arc length of the sector created by sections A and C ?

	a. units
	b. units
	c. units
	d. units
	e. units

.

The following dartboard is made of one large circle with a circumference of inches and a smaller inner circle with a circumference of inches, divided into eight equal sectors. What is the probability of hitting the section of the dartboard labeled A, to the nearest hundredth?

	a. 0.10
	b. 0.12
	c. 0.13
	d. 0.14
	e. 0.15

.

The following dartboard is made of one large circle with a circumference of inches and a smaller inner circle with a circumference of inches, divided into eight equal sectors. What is the probability of hitting the section of the dartboard labeled A twice in a row, to the nearest thousandth?

	a. 0.010
	b. 0.014
	c. 0.017
	d. 0.240
	e. 0.260

.

The Newton High School Cheerleaders are making megaphones for a big game. The megaphone is a large cone, with a very small cone removed in order to shout the cheers through and amplify one’s voice. Using the dimensions of the right triangles of cones in the figure below, identify the height of the smaller cone.

	a. 4 inches
	b. 6 inches
	c. 7.5 inches
	d. 8 inches
	e. 20 inches

.

The Newton High School Cheerleaders are making megaphones for a big game. The megaphone is a large cone, with a very small cone removed in order to shout the cheers through and amplify one’s voice. The girls want to paint the outside of their megaphones. Using the figure below, what is the surface area of the large cone?

	a. 502.65 in2
	b. 691.15 in2
	c. 703.72 in2
	d. 719.80 in2
	e. 920.86 in2

.

The Newton High School Cheerleaders are making megaphones for a big game. The megaphone is a large cone, with a very small cone removed in order to shout the cheers through and amplify one’s voice. The girls want to paint the outside of their megaphones. Using the figure below, what is the surface area of the small cone?

	a. 70.69 in2
	b. 76.15 in2
	c. 95.00 in2
	d. 98.96 in2
	e. 154.19 in2

.

The Newton High School Cheerleaders are making megaphones for a big game. The megaphone is a large cone, with a very small cone removed in order to shout the cheers through and amplify one’s voice. Using the figure below, calculate the surface area of the megaphone.

	a. 440.58 in2
	b. 604.76 in2
	c. 620.46 in2
	d. 643.65 in2
	e. 766.67 in2

.

The square prism and the cylinder below both have a height of 12 cm. The diameter of the cylinder is 8 cm. To the nearest hundredth of a centimeter, what must the length of one side of the base of the square prism be in order for the figures to have the same volume?

	a. 4 cm
	b. 7.09 cm
	c. 8 cm
	d. 14.18 cm
	e. 25.12 cm

.

The students in a classroom are arranged in five rows of five. There are five students that must always sit in the front row. How many different ways can the teacher arrange these students’ desks?

	a. 5
	b. 12
	c. 24
	d. 120
	e. 125

.

Using the figures below, find .

	a. 5 meters
	b. meters
	c. meters
	d. meters
	e. 5meters

.

Using the figures below, what is the value of y ?

	a. 5 meters
	b. meters
	c. meters
	d. meters
	e. meters

.

Using the table below, how many men were surveyed?

	a. 21
	b. 26
	c. 37
	d. 42
	e. 63

.

Using the table below, how many total students were surveyed?

	a. 34
	b. 35
	c. 40
	d. 41
	e. 75

.

Using the table below, of the people that were surveyed, how many prefer country music?

	a. 8
	b. 13
	c. 20
	d. 21
	e. 37

.

Using the table below, of the students that were surveyed, how many speak a second language?

	a. 14
	b. 34
	c. 35
	d. 40
	e. 41

.

Using the table below, what is the relative frequency of students who are in seventh grade and speak a second language to all students that are in seventh grade?

	a. 0.27
	b. 0.49
	c. 0.50
	d. 0.57
	e. 0.59

.

Using the table below, what is the relative frequency of women who prefer country music to all the people surveyed, to the nearest tenth?

	a. 0.13
	b. 0.21
	c. 0.31
	d. 0.48
	e. 0.62

.

Using the table below, what is the relative frequency of women who prefer rock music to all the women surveyed?

	a. 0.24
	b. 0.40
	c. 0.57
	d. 0.62
	e. 0.65

.

Using triangle BUX , shown in the figure below, what are the coordinates of the centroid of the triangle?

	a. ( , 3)
	b. (3, 2)
	c. (1, 2)
	d. (1, 3 )
	e. (-1, 2)

.

What are the coordinates of the orthocenter of the triangle?

	a. (-1, -2)
	b. (1, 2)
	c. (1, 3 )
	d. ( , 3)
	e. (3, 2)

.

What does the value of x have to be to make these lines parallel and the transversal perpendicular to both of them, if and ?

	a. x = 0
	b. x = 5
	c. x = 10
	d. x = 20
	e. x = 42.5

.

What is a possible solution to a circle with center (-2, 3), a radius of 13 units, and line J with equation ?

	a. (-2, -10)
	b. (3, -9)
	c. (10, -2)
	d. (11, 3)
	e. (25, 34)

.

What is the area of the part of the larger circle not taken up by the smaller black circles, if the area of the larger circle is cm² ?

	a. cm2
	b. cm2
	c. cm2
	d. cm2
	e. cm2

.

What is the equation of the circle shown below?

	a.
	b.
	c.
	d.
	e.

.

What is the equation of the Euler line?

	a.
	b.
	c.
	d.
	e.

.

What is the length of line segment QR , given Q (-2, -3) and R (-4, -5)?

	a. units
	b. units
	c. units
	d. 10 units
	e. 4 units

.

Which of the following is a point of intersection of circle A with a radius of 10 and a center of (9, 3) and circle B with a radius of 5 and a center of (0, 7)?

	a. (0, 2)
	b. (0, 7)
	c. (2, -1)
	d. (3, 11)
	e. (4, 12)

.

Which of the following is a point of intersection of circle A with a radius of 13 and a center of (-7, 7) and circle B with a radius of 5 and a center of (9, -1)?

	a. (5, 2)
	b. (4, -1)
	c. (-2, 5)
	d. (2, 5)
	e. (6, 7)

.

Which of the following lines are parallel to ?

	a.
	b.
	c.
	d.
	e.

.

Your gaze creates a 40° angle to the top of a building. Find x and y to the nearest hundredth, if the building is 200-feet tall.

	a. x = 261.08 feet; y = 311.14 feet
	b. x= 261.08 feet; y = 238.35 feet
	c. x = 238.35 feet; y = 311.14 feet
	d. x = 311.14 feet; y = 238.35 feet
	e. x = 167.82 feet; y = 128.56 feet

.

Given triangle ABC with vertices A (1, 4), B (-2, -1), and C (4,1), calculate the area of the triangle.

	a. 6 square units
	b. 7.5 square units
	c. 9 square units
	d. 12 square units
	e. 15 square units

.

Jeannie keeps her socks rolled up in pairs in the bottom drawer of her dresser. When she leaves for school in the morning it is dark, so she grabs a pair without looking and puts them on for school. In her drawer, she has six pairs of white socks, two pairs of yellow socks, a pair of blue socks, and three pairs of striped socks. What is the probability that Jeannie will wear non-white socks two consecutive days?

	a.
	b.
	c.
	d.
	e.

.

Maria wants to mail a poster from the United States to her best friend in Brazil. The cost of mailing internationally is based on the volume. It costs $0.35 per cubic inch. Which of the prices below are closest to the cost of sending the package to Brazil?

	a. $40
	b. $77
	c. $79
	d. $226
	e. $316

.

Using the figure below, determine the value of x .

	a. 13.5
	b. 33
	c. 34
	d. 52.5
	e. 69.5

.

Using the figures below, what is the value of x ?

	a. 10 meters
	b. meters
	c. meters
	d. meters
	e. meters

.

What is the equation of the circle shown below?

	a.
	b.
	c.
	d.

.