Free Printable Geometry Spring Final Review 25

1.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

2.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

3.

Find x.

a)

30°

b)

60°

c)

90°

d)

180°

4.

Find x.

a)

30°

b)

45°

c)

60°

d)

90°

5.

Find x.

a)

12

b)

√2

c)

√3

d)

6

6.

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

7.

Find the value of x.

a)

18

b)

18√3

c)

36√3

d)

12

8.

Find x - the length of the hypotenuse of the triangle.

a)

5

b)

5√2

c)

10

d)

5√3

9.

What is the measure of side b?

a)

5

b)

10√2

c)

5√2

d)

10√3

10.

Find n.

a)

4

b)

6

c)

12

d)

2√3

11.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

12.

Which trig function would you use with this diagram?

a)

^Sin

b)

^Cos

c)

^Tan

d)

^Wha??

13.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

14.

Which is the correct ratio?

a)

sin 28 = x/14

b)

cos 28 = x/14

c)

tan 28 = x/14

d)

tan 28 = 14/x

15.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

16.

Find cos A

a)

30/16

b)

30/34

c)

30/15

d)

16/34

17.

FInd tan X

a)

32/40

b)

40/24

c)

32/24

d)

24/32

18.

What does SOH stand for

a)

hypotenuse over opposite

b)

adjacent over opposite
opposite over adjacent

c)

opposite over hypotenuse

d)

adjacent over adjacent

19.

What does CAH stand for

a)

cosine is the adjective over the hypotenuse.

b)

cosine is the adjacent side over the hypotenuse side.

c)

cosine is the adjacent side over the hippopotamus.

d)

cosine is the hypotenuse side over the adjacent side.

20.

Which Trig function would you use to solve this problem?

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem

21.

Use a calculator to find sin 45.

a)

.707

b)

1

c)

.809

d)

1.4

22.

Use a calculator to find the cos 70.

a)

.12

b)

2.7

c)

.94

d)

.34

23.

Use the calculator to find tan 60

a)

.87

b)

1.7

c)

.5

d)

.11

24.

Use a calculator to find cos 0

a)

4

b)

3

c)

2

d)

1

25.

Use a calculator to find sin 100

a)

.98

b)

.17

c)

-5.6

d)

.76

26.

a)

$81\degree$

b)

$93\degree$

c)

$82\degree$

d)

$79\degree$

27.

a)

A

b)

B

c)

C

d)

D

28.

Which of the following names a radius?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segement BC

29.

Which of the following names a diameter?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segment BC

30.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

31.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

32.

An angle whose vertex lies on the circle and whose sides are chords of the circle

a)

inscribed angle

b)

central angle

c)

arc

d)

radius

33.

A chord is a segment that connects ___________

a)

the center to the point

b)

two points outside the circle

c)

a central angle

d)

2 points on a circle

34.

A line that intersects a circle at exactly one point

a)

secant

b)

circle

c)

chord

d)

tangent

35.

An angle whose vertex is the center of a circle

a)

central angle

b)

inscribed angle

c)

minor arc

d)

major arc

36.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

37.

What is the center and radius for a circle with the equation:
(x-4)²+(y+2)²=25

a)

C:(4, -2), r=5

b)

C:(-4, 2), r=5

c)

C:(4, -2), r=25

d)

C:(-4, 2), r=25

38.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

39.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

40.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

41.

a)

14

b)

12

c)

19

d)

17

42.

a)

6

b)

13

c)

10

d)

9

43.

Name a secant.

a)

BD

b)

DG

c)

HF

d)

AF

44.

Which graph corresponds to
(x+2)²+ (y-3)²=36

a)

A

b)

B

c)

C

d)

D

45.

Find the measure of angle EFH.

a)

61

b)

65

c)

114

d)

130

46.

Find the measure of angle MNQ.

a)

89

b)

45

c)

158

d)

22

47.

Which equation uses the correct formula to find the surface area of the shape?

a)

$10\cdot2\cdot3$

b)

$2\cdot10\cdot2$ + $2\cdot10\cdot3$ + $2\cdot2\cdot3$

c)

$3.14\ \cdot\ 2^2\cdot3$

d)

$2\cdot3.14\ \cdot\ 2^2+2\cdot\ 3.14\cdot\ 2\cdot\ 3$

48.

Which answer correctly uses the formula to find the volume of the figure shown?

a)

$3.14\ \cdot\ 9^2\cdot\ 17$

b)

$3.14\ \cdot\ 4.5^2\cdot17$

c)

$3.14\ \cdot\ 17^2\cdot\ 9$

d)

$3.14\ \cdot\ 8.5^2\cdot9$

49.

Jessica is going to make a wooden jewelry box to give to her mom on her birthday. She is going to paint the box pink because it is her mom’s favorite color. The length of the box is 9 inches, the width is 5 inches, and the height is 3 inches. How much paint will be needed to paint the jewelry box? Which equation would be used to solve this problem?

a)

2(9)(5) + 2(9)(3) +2(5)(3)

b)

9(5)(3)

c)

$3.14\left(9\right)^2\left(5\right)$

d)

$2\left(3.14\right)\left(9\right)^2+2\left(3.14\right)\left(9\right)\left(5\right)$

50.

Mark is going to build a rectangular flower box to plant vegetables. He will purchase wood to build the the flower box. How much soil will be able to fit into the box if the length is 10 feet, the width is 3 feet and the height is 4 feet?

a)

$2\times10\times3$ + $2\times10\times4$ + $2\times3\times4$

b)

$10\times3\times4$

c)

$\pi\times10^2\times3$

d)

$2\times\pi\times10^2\$ + $2\times\pi\times10\times3$

51.

The city of Atlanta wants to paint a cylindrical-shaped water tank. The height of the tank is 88 feet and the radius is 25 feet. How much paint will be needed to paint the water tank? Which is the correct formula you would use?

a)

$\pi r^2h$

b)

$2\pi r^2+2\pi rh$

c)

lwh

d)

2lw+2lh+2wh

52.

LaShaun is in charge of designing a cereal box for a new company. The box will be 17.5 inches in height, 9 inches in length, and 3.5 inches in width. How much material will be needed to make one box? What is the correct formula you would need to solve this?

a)

$2\pi r^2h$

b)

$2\pi r^2+2\pi rh$

c)

lwh

d)

2lw+2lh+2wh

53.

Which of the following could be an answer after finding VOLUME?

a)

$25\ ft^2$

b)

$25\ m^3$

c)

$25\ in$

54.

Which of the following could be an answer after finding SURFACE AREA?

a)

$15\ cm$

b)

$15\ ft^2$

c)

$15\ in^3$

55.

A soda can is made out of aluminum. It is 12 centimeters tall and has a diameter of 7.5 centimeters. How many square inches of aluminum would be needed to make the can? Which equation is correctly written to solve the problem?

a)

$2\cdot3.14\cdot3.75^2$ + $2\cdot3.14\cdot3.75\cdot12$

b)

$2\cdot3.14\cdot7.5^2$ + $2\cdot3.14\cdot7.5\cdot12$

c)

$2\cdot3.14\cdot6^2$ + $2\cdot3.14\cdot6\cdot7.5$

d)

$3.14\cdot3.75^2\cdot12$

56.

Find the surface area of this shape. What equation correctly represents how you would solve the problem?

a)

$2\cdot3.14\cdot2^2$ + $2\cdot3.14\cdot2\cdot10$

b)

$2\cdot3.14\cdot4^2$ + $2\cdot3.14\cdot4\cdot10$

c)

$2\cdot3.14\cdot5^2$ + $2\cdot3.14\cdot5\cdot4$

d)

$2\cdot3.14\cdot10^2$ + $2\cdot3.14\cdot10\cdot4$

57.

Which equations is set up to correctly solve the surface area of this shape?

a)

$2\cdot5\cdot3$ + $2\cdot5\cdot6$ + $2\cdot3\cdot6$

b)

$5\cdot3\cdot6$

c)

$2\cdot5\cdot5$ + $2\cdot3\cdot3$ + $2\cdot5\cdot3$

d)

$5\cdot5\cdot5$

58.

A cylindrical can of salsa had a diameter of 3 inches and 8 inches tall. What equation would be correct to solve for how much salsa could fit inside the can?

a)

$2\cdot3.14\cdot1.5^2$ + $2\cdot3.14\cdot1.5\cdot8$

b)

$2\cdot3.14\cdot3^2$ + $2\cdot3.14\cdot3\cdot8$

c)

$2\cdot3.14\cdot4^2$ + $2\cdot3.14\cdot4\cdot8$

d)

$3.14\cdot3^2\cdot8$

59.

How would you define the surface area of a rectangular prism?

a)

Twice the area of the top and bottom plus twice the area of the sides plus twice the area of the front and back.

b)

The area of the three sides.

c)

The area of the base times how tall the rectangular prism is.

d)

Pi times the length and width.

60.

How would you define the volume of a rectangular prism?

a)

Two times the area of the front, side and back. Then added together.

b)

The area of the base of the rectangular prism, multiplied by the height of the prism.

c)

Pi times the base and height.

d)

All the sides added together.

61.

How would you define the volume of a cylinder?

a)

The area of each circle added to the around of the rectangle.

b)

The area of the base's circle times the height.

c)

The length times the width.

d)

Find the circumference and multiply by two.

62.

a)

b)

c)

d)

63.

Which type of conic section does the following equation represent?

a)

circle

b)

ellipse

c)

not a conic section

d)

hyperbola

e)

parabola

64.

Which type of conic section does the following equation represent?

a)

circle

b)

ellipse

c)

hyperbola

d)

not a conic

e)

parabola

65.

Which type of conic section does the following graph represent?

a)

circle

b)

ellipse

c)

hyperbola

d)

not a conic section

e)

parabola

66.

Which type of conic section does the following equation represent?

a)

parabola

b)

ellipse

c)

hyperbola

d)

not a conic section

e)

parabola

67.

Which type of conic section does the following equation represent?

a)

parabola

b)

ellipse

c)

hyperbola

d)

not a conic section

e)

parabola

68.

Which type of conic section does the following equation represent?

a)

ellipse

b)

circle

c)

hyperbola

d)

not a conic

e)

parabola

69.

Which type of conic section does the following graph represent?

a)

circle

b)

ellipse

c)

hyperbola

d)

not a conic section

e)

parabola

70.

Which type of conic section does the following equation represent?

a)

circle

b)

ellipse

c)

hyperbola

d)

not a conic section

e)

parabola

71.

Which type of conic section does the following equation represent?

a)

circle

b)

ellipse

c)

hyperbola

d)

not a conic

e)

parabola

72.

Which type of conic section does the following equation represent?

a)

circle

b)

ellipse

c)

hyperbola

d)

not a conic section

e)

parabola

73.

Which type of conic section does the following graph represent?

a)

circle

b)

ellipse

c)

hyperbola

d)

not a conic section

e)

parabola

74.

Which type of conic section does the following equation represent?

a)

circle

b)

ellipse

c)

hyperbola

d)

not a conic section

e)

parabola

75.

Which type of conic section does the following equation represent?

a)

circle

b)

ellipse

c)

hyperbola

d)

not a conic section

e)

parabola

76.

Which type of conic section does the following graph represent?

a)

circle

b)

ellipse

c)

hyperbola

d)

not a conic section

e)

parabola

77.

Find the equation of the figure shown.

a)

$\frac{\left(x-1\right)^2}{16}-\frac{\left(y+2\right)^2}{4}=1$

b)

$\frac{\left(x+1\right)^2}{16}-\frac{\left(y-2\right)^2}{4}=1$

c)

$\frac{\left(y+2\right)^2}{4}-\frac{\left(x-1\right)^2}{16}=1$

d)

$\frac{\left(x-1\right)^2}{4}-\frac{\left(y+2\right)^2}{2}=1$

78.

Find the equation of the figure shown.

a)

$\left(x-5\right)^2+\left(y-3\right)^2=25$

b)

$\frac{\left(x+5\right)^2}{4}+\frac{\left(y+3\right)^2}{9}=1$

c)

$\frac{\left(x-5\right)^2}{2}+\frac{\left(y-3\right)^2}{3}=1$

d)

$\frac{\left(x-5\right)^2}{4}+\frac{\left(y-3\right)^2}{9}=1$

79.

a)

(x - 3)²+ (y + 4)² = 9

b)

(x - 3)²+ (y + 4)² = 3

c)

(x)²+ (y)² = 9

d)

(x - 1)²+ (y + 1)² = 7

80.

a)

Vertical Ellipse

b)

Vertical Hyperbola

c)

Horizontal Ellipse

d)

Horizontal Hyperbola

81.

(y-4)² = -8(x+1)
What direction does this parabola open?

a)

up

b)

down

c)

left

d)

right

82.

a)

1/2, 50%

b)

1/3, 33.3%

c)

2/3, 66.7%

d)

1/5, 20%

83.

a)

0%

b)

1/6, 16.7%

c)

1/2, 50%

d)

6/6 100%

84.

a)

0%

b)

1/4, 25%

c)

1/2, 50%`

d)

100%

85.

a)

0%

b)

1/2, 50%

c)

1/6, 16.7%

d)

100%

86.

a)

1/5, 20%

b)

4/5, 80%

c)

2/3, 66.7%

d)

0% impossible

87.

a)

0%

b)

1/2, 50%

c)

2/3, 66.7%

d)

100%

88.

a)

0%

b)

100%

c)

2/3, 66.7%

d)

3/5, 60%

89.

a)

1/6, 16.7%

b)

5/6, 83.3%

c)

1/5, 20%

d)

100%

90.

a)

0%

b)

1/4, 25%

c)

1/2, 50%

d)

100%

91.

a)

0%

b)

1/3, 33.3%

c)

3/4, 75%

d)

100%

92.

a)

2/9, 22%

b)

5/9, 56%

c)

1/9, 11%

d)

7/9, 78%

93.

a)

0%

b)

1/5, 20%

c)

4/5, 80%

d)

100%

94.

What is the probability that a student does play a sport given they do not play an instrument?

a)

.78

b)

.22

c)

.10

d)

.5

95.

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P( Male given Full Time)

a)

7/3

b)

3/10

c)

3/7

d)

4/7

96.

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P(Part Time given Female) =

a)

15/31

b)

43/71

c)

31/43

d)

15/43

97.

P(Pizza Given Senior):

a)

10/15

b)

4/5

c)

2/3

d)

10/5

98.

What is the probability that a student does not play on a sports team?

a)

.5

b)

.45

c)

.55

99.

What is the probability that the person picked will be a boy given they speak german?

a)

.7273

b)

.4

c)

.16

d)

.22

100.

What is the probability that a female is chose given they like a Toyota?

a)

.525

b)

.4627

c)

.6774

d)

.3143

101.

What is the probability that a student plays sports given that they do community service?

a)

$\frac{5}{15}$

b)

$\frac{5}{9}$

c)

$\frac{5}{27}$

d)

$\frac{9}{15}$

102.

The answer $\frac{10}{18}$ is to the question:

a)

What is the probability of a student who does community service and does not play sports?

b)

What is the probability of a student who does community service given that they do not play sports?

c)

What is the probability of a student who does not play sports given that they do not do community service?

d)

What is the probability of a student who does not play sports or does not do community service?

103.

A number is selected, at random, from the set {1, 2, 3, 4, 5, 6, 7, 8}.

Find P(odd given less than 7).

a)

1/2

b)

3/8

c)

4/7

d)

1/4

104.

A box contains 3 blue marbles, 5 red marbles, and 4 white marbles. Find P(blue given not white).

a)

3/8

b)

1/4

c)

5/12

d)

5/8

105.

A dice is tossed.

Find P(2 | number greater than 3).

a)

0

b)

1/3

c)

1/6

d)

uhhh...

106.

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies?

a)

27/40

b)

1.48

c)

.008

d)

.0593

107.

Find the mean of a binomial distribution with n=50 and p=0.4

a)

50

b)

4

c)

20

d)

10

108.

Bob is taking a 100 question test. They have a 90 % probability of getting any one question correct. WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70 questions correctly?

a)

₁₀₀C₇₀ ( 0.18 )³⁰ ( 0.90 )⁷⁰

b)

₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁶⁰

c)

₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

d)

₉₉C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

109.

4. When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice four times, hoping to roll doubles. What is the probability the player gets doubles more than twice in 4 attempts?

a)

0.016

b)

0.00077

c)

0.132

d)

0.004

110.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood?

a)

0.088

b)

0.697

c)

0.214

d)

0.303

111.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

a)

0.962

b)

0.132

c)

0.831

d)

0.250

112.

Which of the following is false about binomial probabilities?

a)

Their distributions are approximately symmetric.

b)

Trials must be fixed.

c)

Events musts be independent.

d)

The probability of success must be 0.50

113.

Which of the following is NOT an assumption of the Binomial distribution?

a)

All trials must be independent.

b)

Each trial must be classified as a success or a failure.

c)

All trials are dependent on each other.

d)

The number of successes in the trials is counted.

114.

Given the probability model in the table below, what is the expected value of the random variable?
X 50 20 5
P(X) 0.1 0.3 0.6

a)

14

b)

4.67

c)

5

d)

7.5

115.

If the expected value is negative, are you expected to win?

a)

yes

b)

no

116.

Choose an American household at random. What is the expected number of cars for that household?

a)

1.75

b)

1.84

c)

2.00

d)

2.50

117.

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

a)

462

b)

55440

c)

55

d)

1000

118.

There are 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?

a)

1906500

b)

317750

c)

375

d)

1953125

119.

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

a)

336

b)

56

c)

24

d)

100

120.

There are 14 candy bars for sale. How many ways can Andy choose five of them?

a)

240240

b)

2002

c)

87178291200

d)

70

121.

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

a)

720

b)

36

c)

100

d)

500

122.

The ski club with ten members is to choose three officers for captain, co-captain and secretary. How many ways can those offices be filled?

a)

720

b)

120

c)

10!

123.

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

a)

324

b)

4896

c)

816

d)

54

Geometry Spring Final Review 25

Total questions: 123

Worksheet time: 10hrs 15mins

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