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Geometry Semester 2 Final 200 Questions

Total questions: 200

Worksheet time: 3hrs 20mins

Name
Class
Date
1.

11. What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

e)

Not enough information

2.

At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?

a)

to randomly ask 8th grade students who went on a field trip last year

b)

to randomly choose some 7th grade students to select a location

c)

to ask all 7th grade teachers and administrators for a location

d)

to ask the student council to choose a location

e)

not enough information

3.

Elliot says almost everyone arrived at the party after 10:00 P.M., but Nancy thinks most people came earlier. When did a majority of the people arrive?

a)

7:00-7:59 P.M.

b)

8:00–8:59 P.M.

c)

9:00–9:59 P.M.

d)

10:00–10:59 P.M.

e)

7:00-10:59 P.M.

4.

Which interval of students have the least number of pets?

a)

15-19

b)

0-4

c)

5-9

d)

10-14

e)

not enough information

5.

Given the histogram above select all the information that must be true

a)

There are more students that are 55" than 56"

b)

There are the same amount of students that are between 52"-55" and students that are taller than 55"

c)

Student are more likely to be shorten than 52" than taller than 60"

d)

The median of the data could be 56"

e)

The range of the data is 19"

6.

How many students have at least 7 Brothers and Sisters?

a)

20 students

b)

7 students

c)

0 students

d)

4 student

e)

17 students

7.

How many students received a score in the 90s?

a)

4

b)

3

c)

91%

d)

17

e)

97%

8.

What is the range of the data shown?

a)

85

b)

90

c)

80

d)

70

e)

not enough information

9.

If Susie retakes her 4th quiz what is the maximum she can increase her test average for the class (mean).

a)

55%

b)

40%

c)

45%

d)

9%

e)

5%

10.

Calculate the relative frequency of having an IQ score in the 131-140 range. (200 7th graders were surveyed).

a)

8%

b)

4%

c)

20%

d)

15.5%

e)

Not enough information

11.

How many 7th graders had an IQ score in the 81-90 range?

a)

13

b)

6.5

c)

3

d)

42

e)

not enough information

12.

How many data points are greater than 34?

a)

10

b)

11

c)

12

d)

13

e)

There are 2 values 34 value on the stem and leaf plot

13.

Are these dot plots symmetric?

a)

Both dot plots are symmetric

b)

Neither dot plot is symmetric

c)

The Gas mileage for SUV's dot plot is symmetric

d)

The Gas mileage for Cars dot plot is symmetric

e)

Not enough information

14.

The choir director in a high school wants to know how the students in the school feel about singing. If the director selects 100 girls and 100 boys to complete a survey, which method will result in a biased sample?

a)

The students will be selected from the choir

b)

The students will be selected randomly throughout the school

c)

The students will be selected on Wednesday afternoon who are attending the choir concert.

d)

The choir director will select five students from each of the forty homerooms in the school

e)

The choir director surveys all the students in the school that he knows.

15.

Which scenario would produce the least biased results?

a)

asking athletes at a gym what their favorite television show is

b)

asking shoppers at a store where their favorite place to shop is

c)

asking fans at a baseball game who their favorite baseball team is

d)

asking students in a college library what their favorite college sports team is

e)

asking football players if high school athletics is important to the high school experiance

16.

Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?

a)

thirty students who are often tardy

b)

thirty students who are rarely tardy

c)

thirty of her friends

d)

thirty randomly selected students from her school

e)

It does not matter who she surveys students are either tardy or not

17.

Marcos wants to find out how many students at his school like to go to the movies. Which survey method is likely to produce a representative survey?

a)

Ask the boys in the boys locker room.

b)

Ask the 25 students in his homeroom class.

c)

Ask students coming out of a movie theater.

d)

Ask half of the 34 students on the soccer team.

e)

Marcos surveys all his friends

18.

A factory manufactures light bulbs. The factory currently has 300 boxes of light bulbs in its warehouse. To test the quality of bulbs, Alex decides to take out a sample of bulbs and test them to see if they work. Which surveying method will give him the least valid results?

a)

selecting ten boxes randomly, mixing the bulbs of these boxes together and then selecting ten bulbs randomly

b)

selecting ten boxes randomly and then selecting one bulb randomly from each box

c)

selecting one bulb randomly from every tenth box

d)

selecting one box randomly and then selecting all the bulbs from the box

e)

not enough information

19.

What percentage of SUV's are driven by women?

a)

56.25%

b)

75%

c)

83.25%

d)

86.5%

e)

Not enough information

20.

What percentage of girls have blonde hair?

a)

30%

b)

32%

c)

29%

d)

40%

e)

not enough information

21.

According to the table, what is the relative frequency of Students ages 14 - 17 who skip breakfast?

a)

About 27%

b)

About 35%

c)

About 15%

d)

About 30%

e)

not enough information

22.

Based on the frequency table which of the following must be true

a)

Student who studied longer did better on their test

b)

All students study between 1/2 hour and an hour

c)

The student that studied 70 minutes is the student with the highest grade in the class

d)

It is less likely a student will study exactly 50 minutes than it is to study more than 50 minutes.

e)

Students prefer to study 50 minutes more than any other amount of time.

23.
a)

Skewed Right

b)

Skewed Left

c)

Uniform

d)

Symmetric

e)

Not enough information

24.

The team scored 80 points. How many points did Porter score?

a)

40 points

b)

32 points

c)

16 points

d)

14.4 points

e)

12 point

25.

There are 200 vegetable plants in a garden. How many of the vegetable plants are green beans?

a)

12

b)

16

c)

24

d)

28

e)

48

26.

How many more students played soccer than hockey?

a)

4

b)

30

c)

6

d)

60

e)

40

27.

Approximately, how much time does a student spend socializing during a calendar week?

a)

3 hours

b)

13 hours

c)

22 hours

d)

26 hours

e)

not enough information

28.

How many pizzas were sold by Domiano’s Pizza and Little Secrets Pizza?

a)

200

b)

180

c)

160

d)

100

e)

9

29.

How many more students liked pizza than

those that liked chicken and taco's?

a)

15

b)

10

c)

9

d)

6

e)

5

30.

Look at the graph.

Which is correct?

Sales of food and drink... from Monday to Friday.

a)

remain constant

b)

increases

c)

decreases

d)

fluctuates

e)

not enough information

31.

Look at the graph.

Which of the following is true? Choose all that apply

a)

From Tuesday to Wednesday drink consumption decreases more than the decrease in food consumption

b)

More drinks are consumed on Tuesday than any other day

c)

Drink consumption increases from Wednesday to Friday.

d)

Food consumption increases from Wednesday to Friday.

e)

People consume at least as much food on Tuesday as they do on any other day

32.

What is the main purpose of a line graph?

a)

to compare two things

b)

to show trends over time

c)

to have an independent variable

d)

so you don't have to read words

e)

to show their is a negative correlation between the two quantities in the graph.

33.

This double line graph for rainfall in two cities shows what pattern?

a)

Rain is steady all year.

b)

It is rainier in the summer months than in winter.

c)

It is the rainiest in winter.

d)

There is no rain. Both cities are dry year round.

e)

City 1 gets more rainfall than city 2

34.

What is the difference between the shortest and the longest distance of the baseball thrown?

a)

1,005 feet

b)

85 feet

c)

82 feet

d)

80 feet

e)

not enough information

35.

Which three ages combined have the highest number of students

a)

6.7.8

b)

8,9,10

c)

10,11,12

d)

4,5,6

e)

Numbers greater than 7

36.

What is the probability of spinning green and then a yellow?

a)

0

b)

1/3

c)

4/13

d)

1/36

e)

1/48

37.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

a)

3

b)

1/10

c)

3/10

d)

30%

e)

1/3

38.

The chart below represents the number of marbles in a jar.

P(green) =

a)

5/19

b)

10/28

c)

5/14

d)

10/39

e)

10/41

39.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red or a blue marble?

a)

1/2

b)

1/3

c)

5/18

d)

5/9

e)

2/9

40.

Based on the chart, what is the experimental probability of pulling a green marble or purple marble?

a)

1/8

b)

8/25

c)

8/100

d)

7/8

e)

0

41.

Andrew picks one marble at a time from a box and replaces it. He repeats this process 25 times and records the results in the table. Based on the table, which color marble has an experimental probability of 1/5?

a)

Yellow

b)

Red

c)

Blue

d)

Green

e)

Not enough information

42.

What is the probability someone will spin a number that is even and blue.

a)

0

b)

1/8

c)

1/4

d)

1/32

e)

3/4

43.

If a man is chosen at random, what is the probability that he favors sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

e)

39%

44.

What percentage of girls have blonde hair?

a)

30%

b)

32%

c)

29%

d)

40%

e)

not enough information

45.

Given the above which choose all the information that is true

a)

If a man is randomly selected they are more likely to drive a SUV

b)

If a man is randomly selected they are more likely to drive a Sports Car

c)

If a female is randomly selected they are more likely to drive a SUV

d)

If a female is randomly selected they are more likely to drive a Sports Car

e)

If an individual is randomly drawn from the table it is less likely that they are a male.

46.

P(not A) =

a)

6/8

b)

3/4

c)

2/8

d)

1/4

e)

1/2

47.

A bag has 3 red marbles, 2 blue, 4 green and 1 yellow. What is the theoretical probability of pulling a red or a blue marble?

a)

1/10

b)

3/10

c)

3/50

d)

1/2

e)

5/9

48.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple) =Give your answer in a decimal to the nearest hundredth:

(a)  

49.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon in a percentage?

(a)  

50.

The chart below represents the number of marbles in a jar.

P(green) = in reduced fraction form

(a)  

51.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

e)

61.92

52.

Choose all of the correct ratios for the triangle in the picture

a)

Sin (B) =21/29

b)

Sin (B) =20/29

c)

Cos (A) =21/29

d)

Tan (B) =21/29

e)

Tan (A) =21/20

53.

Which is the calculator ready form to solve this problem for x?

a)

22 Tan (12)

b)

12 tan (22)

c)

tan(12) / 22

d)

22/ tan (12)

e)

none of the above

54.

cos 40⁰ = ?

a)

sin 50⁰

b)

cos 50⁰

c)

tan 50⁰

d)

sin 40⁰

e)

tan 40⁰

55.

Find the measure of the missing angle.

a)

49o

b)

50o

c)

41o

d)

33o

e)

57o

56.

Jake built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.

a)

19 degrees

b)

20 degrees

c)

45 degrees

d)

70 degrees

e)

71 degrees

57.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

e)

34.1

58.

Solve for the missing distance for the depth of the anchor.

a)

18.9 m

b)

19.5 m

c)

47 m

d)

27.5 m

e)

24.3 m

59.

Which of the following is the calculator ready form to solve the height of the airplane?

a)

1000Sin(60)

b)

1000/Sin(60)

c)

1000Cos(60)

d)

1000/Cos(60)

e)

1000/Tan(60)

60.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

e)

125 ft

61.

Henry knows the angle of depression from the lookout and also knows from that angle it is 45 feet in the air. About how far is he from the middle of the lookout tower?

a)

30 feet

b)

45 feet

c)

38 feet

d)

54 feet

e)

59 feet

62.

A princess is being held captive in a tower. Her knight in shining armor is on the ground below with a ladder. When the knight stands 15 feet from the base of the tower and looks up at her, the angle of elevation to her window is 60 degrees. How long does the ladder have to be?

a)

30 feet

b)

17.3 feet

c)

8.7 feet

d)

7.5 feet

e)

26.0 feet

63.

Jose would like to know the height of the brick building shown in the picture, if the angle of elevation is 50 degrees and he is 36 feet from the building. Which of these is the calculator ready expression to find the building height?

a)

36 Sin (50)

b)

36 Tan (50)

c)

36 Sin (50) + 6

d)

36 Tan (50) + 6

e)

36 Cos (50) + 6

64.

Solve for DE

a)

36.5

b)

18.8

c)

8.5

d)

7.9

e)

4.7

65.

Find m∠S

a)

21

b)

69

c)

23

d)

67

e)

5/13

66.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

e)

8.0

67.

A pilot looks down and sees the runway at an angle of depression of 10°. If the horizontal distance between the plane and the runway is 8000 feet, what is the height of the plane?

a)

1410.6

b)

1389.2

c)

5671.3

d)

7878.5

e)

888.8

68.

You decide to go to the city for a day of fun. You happen to be standing 30 feet away from a building that is 645 feet tall. What is your angle of elevation to the top of the building?

a)

87.3

b)

2.6

c)

79.1

d)

84.6

e)

5.4

69.

A traffic helicopter spots two different accidents. One is east at an angle of depression of 35 degrees. The other is west at an angle of depression of 21 degrees. If the helicopter is 800 feet in the air, how far apart are the accidents?

a)

1142

b)

2084

c)

3226

d)

942

e)

4168

70.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

e)

7 / 24

71.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

e)

7 / 24

72.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

e)

7 / 24

73.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

e)

pythagorean theorem

74.

Which inverse trig function would you use to find the measure of Angle A?

a)

inverse sine

b)

inverse cosine

c)

inverse tangent

d)

It is not possible to determine m<A

e)

pythagorean theorem

75.

Which is the best strategy to use for finding the length of the missing side?

a)

sine

b)

cosine

c)

tangent

d)

pythagorean theorem

e)

not enough information

76.

Which trig ratio or function should you use to find the value of "h"?

a)

sine

b)

cosine

c)

tangent

d)

an inverse trig function

e)

pythagorean theorem

77.

What is the most efficient way to find "x"?

a)

Inverse sine

b)

sine

c)

Inverse tangent

d)

pythagorean theorem

e)

tangent

78.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

e)

6.66 m

79.

Choose the correct ratio in calculator ready form:

a)

14 sin (37)

b)

14 cos (37)

c)

14 / (tan 37)

d)

14 / (sin 37)

e)

14 / (cos 37)

80.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

e)

23.5 cm

81.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

e)

172+172=x2

82.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Pythagorean Theorem

e)

Inverse Tangent

83.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

180 - 90- 50 = r

e)

Pythagorean Theorem

84.

Jake built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.

a)

19 degrees

b)

20 degrees

c)

28 degrees

d)

35 degrees

e)

70 degrees

85.

Spencer is going snowboarding. He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet. The angle of elevation from the bottom to the top of the mountain is 25o. What is the length of the Spencer’s run (his trip down the hill)?

a)

3216.76 feet

b)

633.93 feet

c)

699.46 feet

d)

3549.30 feet

e)

1655.07 feet

86.

A golfer is standing at the tee, looking up to the green on a hill. If the tee is 36 yards lower than the green and the angle of elevation from the tee to the hole is 12°, find the distance from the tee to the hole in feet.

a)

173.15 feet

b)

7.48 feet

c)

22.95 feet

d)

508.11 feet

e)

519.45 feet

87.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

60 feet

b)

45 feet

c)

100 feet

d)

135 feet

e)

44 feet

88.

A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower

a)

18.01 m

b)

29.89 m

c)

13.38 m

d)

22.21 m

e)

26.91 m

89.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

e)

93 ft

90.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

20 degrees

e)

70 degrees

91.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

e)

13 ft

92.

An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building?

a)

5.71

b)

16.70

c)

17.46

d)

21.84

e)

5.74

93.

Which trigonometric ratio are correct for the triangle? (select all that apply)

a)

sin A = c/b

b)

sin A = a/c

c)

tan A = a/b

d)

cos B = a/c

e)

cos A = a/c

94.

Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52 degrees. Which below is closest to the height, h, of the flagpole?

a)

31.5 feet

b)

24.6 feet

c)

51.2 feet

d)

57.4 feet

e)

65.0 feet

95.

Set up an equation that could be used to solve for the variable.

a)
b)
c)
d)
e)

x= 59

96.

Set up an equation that could be used to solve for the variable. Choose all answers that are true

a)
b)
c)
d)
e)

x = 12.88

97.

Set up an equation that could be used to solve for the variable.

a)
b)
c)
d)
e)

None of the above, cosine must be used to solve this triangle.

98.

Set up an equation that could be used to solve for the variable, place your answer in calculator ready form

a)

x= 10.3 Sin (37)

b)

x= 10.3 / (Sin (37))

c)

x= 10.3 / Cos (37)

d)

x= 37 / (Cos (10.3))

e)

x= 37 Tan (10.3)

99.

Set up an equation that could be used to solve for the variable.

a)
b)
c)
d)
e)

Tangent is not the correct trigometric ratio for the given triangle!

100.

Your family wants to purchase a new laptop with a 17” widescreen. Since the 17 inches represents the diagonal measurement of the screen. You want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don’t remember the width. What is the width of your new laptop?

a)

13.7 inches

b)

12.8 inches

c)

11.3 inches

d)

13.1 inches

e)

17.0 inches

101.

Solve the right triangle

a)

c=21.7, b=14, ∠B=-55

b)

c=12.2, b=10, ∠B=35

c)

c=12.2, b=10, ∠B=55

d)

c=10, b=12.2, ∠B=35

e)

c=12.2, b=10, ∠B=55

102.

In right triangle DEF with right angle D. If

Tan D = 5/12, what is Cos F=?

a)

12/5

b)

5/12

c)

12/13

d)

13/12

e)

5/13

103.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

e)

tan(37)=14/x

104.

What is the length of y in this 45-45-90 triangle?

(a)  

105.

Based on the diagram, choose all the statements that are true.

a)
b)
c)
d)
e)
106.

Set up the problem...

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

e)

tan X = 28/41

107.

Right triangle ABC is shown below. Which equation gives the correct value for BC?

a)
b)
c)
d)
e)

Not enough information to solve BC

108.

Find Tan A

a)

21/20

b)

29/20

c)

21/29

d)

20/21

e)

20/29

109.

What are x and y in this 30-60-90 triangle?

a)

x = 6 y = 3√3

b)

x = 3√2 y = 3

c)

x = 3√3 y = 6

d)

x = 6 y = 3√2

e)

x = 6√3 y = 6

110.

What are a and b in this 30-60-90 triangle?

a)

b=3.5√3 a = 7√3

b)

b = 7 a = 7√2

c)

b = 7 a = 14

d)

b = 7√3 a = 14√3

e)

b = 7 a = 14√6

111.

Find the value of y.

(a)  

112.

What is the measure of side c?

a)

7

b)

72\frac{7}{\sqrt{2}}

c)

727\sqrt{2}

d)

14

e)

73\frac{7}{\sqrt{3}}

113.

What is the measure of a?

a)

3

b)

333\sqrt{3}

c)

6

d)

323\sqrt{2}

e)

232\sqrt{3}

114.

Find the length of m.

(a)  

115.

Acute, right, or obtuse

a)

Acute Triangle

b)

Right Triangle

c)

Obtuse Triangle

d)

Not a Triangle

e)

Isosceles Triangle

116.

Which set of side lengths form a right triangle? Choose ALL that apply!

a)

4, 8, 12

b)

12, 13, 20

c)

20, 21, 29

d)

48, 55, 74

e)

3, 4, 5

117.

A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. Given the diagonal forms a triangle with the length and width, what is the smallest angle in the triangle?

a)

90 Degrees

b)

30 Degrees

c)

45 Degrees

d)

27 Degrees

e)

33 Degrees

118.

What are the three angle measures of the triangle formed using the sides h, s, r

a)

90

b)

53

c)

35

d)

37

e)

55

119.

A bee is in a box shaped as a rectangular prism. The box measures 30 inches by 14 inches by 40 inches. The bee flies from one corner of the box to the corner that is the farthest away. To the nearest inch, how far does the bee fly (r)?

a)

17 in.

b)

45 in.

c)

38 in.

d)

52 in.

e)

84\sqrt{84}

120.

Solve for x. Round to the nearest tenth.

a)

x = 44.6

b)

x = 29.4

c)

x = 36.2

d)

x = 22.3

e)

x = 38.4

121.

If the area of a circle is 25 π in² , then the diameter is?

(a)  

122.

If the circumference of a circle is 22 π ft, what is the radius?

(a)  

123.

Choose all statements that are true?

a)

AC is a diameter

b)

BD is a diameter

c)

LM is a chord

d)

CE is a radius

e)

DC is a diameter

124.

Solve for x.

(a)  

125.

What is the measure of arc KL?

(a)  

126.

Find the value of x.

(a)  

127.

What is the value for x?

a)

x=5

b)

x=7

c)

x=10.7777

d)

x=12.888

e)

x=25

128.

Solve for "?"

(a)  

129.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?"

(a)  

130.
a)

42 inches

b)

46 inches

c)

50 inches

d)

64 inches

e)

not enough information

131.

a)

A

b)

B

c)

C

d)

D

132.
a)

A

b)

B

c)

C

d)

D

e)

Not enough information

133.

Find a and b.

a)

a=74 degrees

b=93 degrees

b)

a=93 degrees

b=74 degrees

c)

a=87 degrees

b=106 degrees

d)

a=106 degrees

b=87 degrees

e)

None of the above

134.



(a)  

135.

a)

17

b)

18

c)

19

d)

20

e)

7

136.

Find the value of x

(a)  

137.
a)
b)
c)
d)
138.

Which graph corresponds to

(x-8)2+ (y+2)2= 4

a)

A

b)

B

c)

C

d)

D

e)

None of the graphs match the equation

139.

What is the equation of a circle with radius 4 and center (0, 8)?

a)

x2 + (y-8)2 = 16

b)

(x-8)2 + y2 = 4

c)

x2 + (y-8)2 = 4

d)

x2 + (y+8)2 = 16

e)

(x+8)2 + y2 = 4

140.

What is the equation of the circle?

a)

(x+1)2 + (y +1)2 = 3

b)

(x+1)2 + (y -1)2 = 3

c)

(x+1)2 + (y +1)2 = 9

d)

(x-1)2 + (y -1)2 = 9

e)

(x-1)2 + (y +1)2 = 9

141.

Describe the cross section.

a)

rectangle

b)

trapezoid

c)

oval (ellipse)

d)

parallelogram

e)

circle

142.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

e)

kite

143.

Describe the cross section.

a)

rectangle

b)

square

c)

oval (ellipse)

d)

circle

e)

parabola

144.

What shape will the angled cross-section of a rectangular pyramid be?

a)

Triangle

b)

Rectangle

c)

Trapezoid

d)

Square

e)

Kite

145.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Oval (Ellipse)

d)

Rectangle

e)

Hemisphere

146.

What is the exact volume of the pyramid? Enter a just a number.

(a)  

147.

Determine the exact volume of the figure. Enter just a number.

(a)  

148.

Determine the approximate height of a cone with volume 124 in3 and radius 7 in.

a)

2.4 in

b)

7.6 in

c)

16.9 in

d)

8.1 in

e)

17.1 in

149.

Julie uses a tent like the one shown to go camping with friends. The tent is 7 feet tall, 10 feet wide and 12 feet long. Calculate the volume. Enter just a number

(a)  

150.

Lucia has a triangular prism that has a length of 6cm and the width of 4cm and the height is 8cm. What is the volume as a number only.

(a)  

151.

Calculate the volume of the figure above, enter your answer as a number only.

(a)  

152.

Find the volume of this sphere.

a)

113.0 m³

b)

10.6 m³

c)

9.4 m³

d)

14.1 m³

e)

37.7 m3

153.

Find the volume of a HEMIsphere with a radius of 4.

a)

85.3π

b)

62.67π

c)

42.67π

d)

8π

e)

31.34π

154.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

e)

144 cm2

155.

Find the Volume of the Cylinder

a)

1178 ft3

b)

4712 ft3

c)

7069 ft3

d)

3534 ft3

e)

1500 ft3

156.

When a sphere has a volume of 972π, what is the radius of the sphere? Answer with just the number.

(a)  

157.

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi. Answer just with a number.

(a)  

158.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.


Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)2(32)

c)

V = π(9)2(32)

d)

V = π(4.5)(32)

e)

V = π(32)(9)

159.

Find the volume.

a)

151.2 yd3

b)

163.7 yd3

c)

179.1 yd3

d)

186.3 yd3

e)

80.0 yd3

160.

Which equation would you use to find the volume of this composite figure?

a)

83 + 4/3π(8)³

b)

83 + 4/3π(4)³

c)

83 + (1/2)(4/3)π(4)³

d)

82 + 4/3π(8)³

e)

82+(1/2)82π

161.

Find the volume of the roll of duct tape.

a)

7.2

b)

8.0

c)

9.4

d)

15.7

e)

21.3

162.

If the density of a bar of gold is 19.3 g/cm3and you cut it into 4 pieces, what is the density of each piece of gold?

a)

4.825 g/cm3

b)

9.65 g/cm3

c)

19.3 g/cm3

d)

38.6 g/cm3

e)

.21 g/cm3

163.

Jack has a rock. The rock has a mass of 14g and a volume of 2cm3. What is the density of the rock?

a)

1/7 mL

b)

7 g/cm3

c)

28 g/cm3

d)

1/7 g/cm3

e)

16g+cm3

164.

Which figure can have the same cross section as a sphere?

a)
b)
c)
d)
e)

Not enough information

165.

Which drawing can not be a cross section of a cone?

a)
b)
c)
d)
e)

All of these are cross sections of a cone

166.

A student has a rectangular postcard that he folds in half lengthwise. Next he rotates it continuously about the folded edge. Which three dimensional object below is generated by the rotation?

a)
b)
c)
d)
167.

Which object is formed when right triangle RST shown is rotated around leg RS

a)

a cylindar

b)

a pyramid with a square base

c)

an isosceles triangle

d)

a right triangle

e)

a cone

168.

Triangle ABC represents a metal flag on pole AD, as shown in the accompanying diagram. On a windy day the triangle spins around the pole so fast that it looks like a three-dimensional shape. Which shape would the spinning flag create?

a)

Oblique Circular Cylinder

b)

Sphere

c)

Pyramid

d)

Right Circular Cylindar

e)

Cone

169.

Circle O is centered at the origin. In the diagram below, a quarter of circle O is graphed. Which three-dimensional figure is generated when the quarter circle is continuously rotated about the y-axis?

a)

cone

b)

sphere

c)

cylinder

d)

hemisphere

e)

crescent

170.

In the diagram below, right triangle ABC has legs whose lengths are 4 and 6. What is the volume of the three-dimensional object formed by continuously rotating the right triangle around side AB?

a)

24π

b)

32π

c)

48π

d)

96π

e)

144π

171.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

rhombus

c)

trapezoid

d)

rectangle

e)

quadrilateral

172.

Which option(s) could be used to prove a quadrilateral is a parallelogram, choose all methods that could be used.

a)

Both pairs of opposite sides are congruent (Distance)

b)

Diagonals are congruent (Distance)

c)

One pair of opposite sides are congruent (Distance)

d)

Diagonals are perpendicular (Slope

e)

Both pairs of opposite sides are parallel (Slope)

173.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

rhombus

c)

square

d)

rectangle

e)

kite

174.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

rhombus

c)

kite

d)

rectangle

e)

diamond

175.

What are the coordinates of point Q?

a)

(a,b)

b)

(a/2, b/2)

c)

(a,2b)

d)

(-a,-b)

e)

(2a,b)

176.

ABCD is a parallelogram, so the diagonals bisect each other. What is the midpoint of the diagonals?

a)

(a+c,b)

b)

(c/2,b/2)

c)

((a+c)/2,b/2)

d)

(a/2,b/2)

e)

(a-c,b)

177.

What are the coordinates of point R?

a)

(3a,2b)

b)

(2a, 3b)

c)

(3a,b)

d)

(2a,-b)

e)

(2a,2b)

178.

Give the most precise classification for the quadrilateral.

a)

parallelogram

b)

isosceles trapezoid

c)

quadrilateral

d)

trapezoid

e)

kite

179.

How would you prove that the diagonals of a parallelogram bisect each other?

a)

Same Slope

b)

Same Distance

c)

Midpoint

d)

Opposite Reciprocal Slope

e)

Pythagorean Theorem

180.

How would you prove the opposite sides of a parallelogram are parallel?

a)

Same Slope

b)

Same Distance

c)

Midpoint

d)

Opposite Reciprocal Slope

e)

Pythagorean Theorem

181.

Analyze the graph. Using distance formula, can you prove this is a rectangle?

a)

Yes, because AD = BC = 10 and AB = CD = 5

b)

No because  AD=210AD=2\sqrt{10}  and  BC=10BC=10   

c)

Yes because AD = BC = 5 and AB = CD = 10

d)

No because  CD=73CD=\sqrt{73}  and  BC=5BC=5  

e)

Yes because  AC‾≅BD‾ =104\overline{AC}\cong\overline{BD}\ =\sqrt{104}  

182.

Analyze the graph. Can you prove this is a rectangle using slope?

a)

Yes because the slope of BC=−34BC=-\frac{3}{4} and the slope of AB=43AB=\frac{4}{3}

b)

No because the slope of BC=−43BC=-\frac{4}{3} and the slope of AB=−34AB=-\frac{3}{4}

c)

Yes because the slope of BC=43BC=\frac{4}{3} and the slope of AB=−34AB=-\frac{3}{4}

d)

No because the slope of BC=−34BC=-\frac{3}{4} and the slope of AB=43AB=\frac{4}{3}

e)

Yes because the slope of AB=43 and CD=43AB=\frac{4}{3}\ and\ CD=\frac{4}{3} and the slope of BC=−34 and AD=−34BC=-\frac{3}{4\ }and\ AD=-\frac{3}{4}

183.

Analyze the graph. Using distance formula, can you prove this is a rhombus?

a)

Yes, all of the sides have a length of 3173\sqrt{17}

b)

No, because BC=317BC=3\sqrt{17} and AB=5AB=5

c)

Yes all of the sides have a length of 5

d)

No, because BC=5BC=5 and AB=317AB=3\sqrt{17}

e)

No because AC=8 and BD=6

184.

Analyze the graph. How can you prove this is a rhombus using slope?

a)

Yes, because AC has a slope that is undefined and BD has a slope of 0

b)

No, because AC has a slope of 0 and BD has a slope of 0

c)

Yes, because AC has a slope of 0 and BD has a slope that is undefined

d)

No, because AC and BD have undefined slopes

e)

Yes because the slope of AB = CD and the slope of BC = DA

185.

In the image, side AB has a slope of -3 and AD has a slope of 1/3. What does this mean is true?

a)

Side AB and AD are parallel

b)

Side AB and AD form a right angle

c)

Side AB and AD are congruent

d)

Side AB and AD are perpendicular

e)

Nothing Specific

186.

Drew used the distance formula and found each side to have a distance of .  10\sqrt{10}  



What does that mean?

a)

Side AB and AD are parallel

b)

Side AB and AD form a right angle

c)

Side AB and AD are congruent

d)

Nothing Specific

e)

Side AB and AD are perpendicular

187.

Julia proved ETUN is a parallelogram. She notices that side ET has a slope of 1/2 and EN has a slope of -2. What can she classify ETUN as?

a)

A rectangle

b)

A square

c)

A rhombus

d)

Just a parallelogram

e)

A kite

188.

Julia proved ABCD is a parallelogram. She notices that side AB has a slope of 8/3 and BC has a slope of 1/3. What can she classify ABCD as?

a)

A rectangle

b)

A square

c)

A rhombus

d)

Just a parallelogram

e)

A kite

189.

Find the distance between the two points, to the nearest tenth.



(a)  

190.

Find AB given A(1,4) and B(3,9).

a)

√185

b)

√173

c)

√29

d)

√41

e)

√14

191.

Given the coordinates of A(3, 6), B(5, 2), and C(9, 4), which coordinates for D make ABCD a square?

a)

(6, 7)

b)

(7, 8)

c)

(7, 9)

d)

(8, 7)

e)

(8, 9)

192.

Which type of triangle has vertices at the points 𝑅(2,1), 𝑆 (2,5), and 𝑇(4,1)?

a)

right

b)

acute

c)

isosceles

d)

equilateral

e)

obtuse

193.

The vertices of a quadrilateral are 𝑀(–1,1),𝑁(1,–2),𝑂(5,0), and 𝑃(3,3). Which statement describes Quadrilateral MNOP?

a)

Quadrilateral MNOP is a rectangle.

b)

Quadrilateral MNOP is a trapezoid.

c)

Quadrilateral MNOP is a rhombus but not a square.

d)

Quadrilateral MNOP is a parallelogram but not a rectangle.

e)

Quadrilateral MNOP is a parallelogram but not a rhombus

194.

On a coordinate plane, a shape is plotted with vertices of (3, 1), (0, 4), (3, 7), and (6, 4). What is the area of the shape if each grid unit equals one centimeter?

a)

18cm218cm^2

b)

24cm224cm^2

c)

36cm236cm^2

d)

42cm242cm^2

e)

30cm230cm^2

195.

Find the perimeter of the triangle to the nearest whole unit.

(a)  

196.

A triangle is shown on the coordinate plane below. What is the area of the triangle?

a)

12 square units

b)

24 square units

c)

36 square units

d)

48 square units

e)

18 square units

197.

Triangle 𝐴𝐵𝐶 has vertices at (−4,0), (−1,6) and (3,−1). What is the perimeter of triangle 𝐴𝐵𝐶, rounded to the nearest tenth?

(a)  

198.

Find the perimeter of polygon ABCDE with vertices A(0, 3), B(5, 5), C(6, 2), D(4, 0) and E(0, 0). Round to the nearest tenth.

(a)  

199.

Find the distance between J and K to the nearest tenth.

(a)  

200.

Find the y-coordinate of the midpoint of the line

a)

1

b)

2

c)

-2

d)

3

e)

-1

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