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

Choose one answer.

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

Question 2

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?

Choose one answer.

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

Question 3

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

Choose one answer.

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

Question 4

A is the midpoint of

, where

and

. Find x and

Choose one answer.

	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

Question 5

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?

Choose one answer.

	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

Question 6

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

Choose one answer.

	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

Question 7

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?

Choose one answer.

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

Question 8

Are the following triangles similar?

Choose one answer.

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

Question 9

Are the following triangles similar?

Choose one answer.

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

Question 10

Circle M has chords

and

. Additionally,

. What is

Choose one answer.

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

Question 11

Circle O has tangents

and

, that intersect at J and M , and

. What is

Choose one answer.

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

Question 12

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

Choose one answer.

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

Question 13

Find w and z .

Choose one answer.

	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

Question 14

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?

Choose one answer.

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

Question 15

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?

Choose one answer.

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

Question 16

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

Choose one answer.

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

Question 17

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

Choose one answer.

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

Question 18

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

, find KF .

Choose one answer.

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

Question 19

Given that

, and

, find the length of BC .

Choose one answer.

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

Question 20

Given that in the figure below,

, which congruency proves that there are congruent triangles?

Choose one answer.

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

Question 21

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

Choose one answer.

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

Question 22

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

Choose one answer.

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

Question 23

Given the parallelogram below, determine the value of y .

Choose one answer.

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

Question 24

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

Choose one answer.

	a.
	b.
	c.
	d.
	e.

Question 25

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

Choose one answer.

	a.
	b.
	c.
	d.
	e.

Question 26

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.

Choose one answer.

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

Question 27

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

, find XZ .

Choose one answer.

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

Question 28

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

Choose one answer.

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

Question 29

, which triangles are congruent? Why?

Choose one answer.

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

Question 30

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?

Choose one answer.

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

Question 31

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?

Choose one answer.

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

Question 32

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

Choose one answer.

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

Question 33

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.

Choose one answer.

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

Question 34

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?

Choose one answer.

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

Question 35

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 ?

Choose one answer.

	a.
	b.
	c.
	d.
	e.

Question 36

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?

Choose one answer.

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

Question 37

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?

Choose one answer.

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

Question 38

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?

Choose one answer.

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

Question 39

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?

Choose one answer.

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

Question 40

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?

Choose one answer.

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

Question 41

Point Q is between points P and R. If

, and

, what is the length of PQ?

Choose one answer.

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

Question 42

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

Choose one answer.

	a.
	b.
	c.
	d.
	e.

Question 43

Rhombus GHJK ~ Rhombus WXYZ, where

and

. What is the scale factor?

Choose one answer.

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

Question 44

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?

Choose one answer.

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

Question 45

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?

Choose one answer.

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

Question 46

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 ?

Choose one answer.

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

Question 47

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?

Choose one answer.

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

Question 48

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?

Choose one answer.

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

Question 49

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.

Choose one answer.

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

Question 50

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?

Choose one answer.

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

Question 51

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?

Choose one answer.

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

Question 52

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.

Choose one answer.

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

Question 53

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?

Choose one answer.

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

Question 54

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?

Choose one answer.

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

Question 55

Using the figures below, find

Choose one answer.

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

Question 56

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

Choose one answer.

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

Question 57

Using the table below, how many men were surveyed?

Choose one answer.

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

Question 58

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

Choose one answer.

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

Question 59

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

Choose one answer.

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

Question 60

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

Choose one answer.

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

Question 61

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?

Choose one answer.

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

Question 62

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

Choose one answer.

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

Question 63

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

Choose one answer.

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

Question 64

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

Choose one answer.

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

Question 65

What are the coordinates of the orthocenter of the triangle?

Choose one answer.

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

Question 66

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

and

Choose one answer.

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

Question 67

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

Choose one answer.

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

Question 68

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 ?

Choose one answer.

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

Question 69

What is the equation of the circle shown below?

Choose one answer.

	a.
	b.
	c.
	d.
	e.

Question 70

What is the equation of the Euler line?

Choose one answer.

	a.
	b.
	c.
	d.
	e.

Question 71

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

Choose one answer.

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

Question 72

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)?

Choose one answer.

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

Question 73

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)?

Choose one answer.

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

Question 74

Which of the following lines are parallel to

Choose one answer.

	a.
	b.
	c.
	d.
	e.

Question 75

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.

Choose one answer.

	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

Question 76

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

Choose one answer.

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

Question 77

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?

Choose one answer.

	a.
	b.
	c.
	d.
	e.

Question 78

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?

Choose one answer.

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

Question 79

Using the figure below, determine the value of x .

Choose one answer.

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

Question 80

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

Choose one answer.

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

Question 81

What is the equation of the circle shown below?

Choose one answer.

	a.
	b.
	c.
	d.