Free Printable Final Exam Review

1.

What is the probability that a student does not participate in a club given that they take sign language?

a)

$\frac{25}{138}$

b)

$\frac{25}{77}$

c)

$\frac{25}{378}$

d)

$\frac{77}{138}$

2.

What is the probability that a student takes Latin given that they participate in a club?

a)

$\frac{59}{378}$

b)

$\frac{41}{59}$

c)

$\frac{41}{378}$

d)

$\frac{41}{240}$

3.

What is the probability that a randomly selected student is not in a club?

a)

$\frac{63}{32}$

b)

$\frac{138}{378}$

c)

$\frac{63}{138}$

d)

$\frac{240}{378}$

4.

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)

$\frac{9}{15}$

5.

What is the probability that a randomly selected student does not do community service if they do not play sports?

a)

$\frac{12}{27}$

b)

$\frac{8}{12}$

c)

$\frac{8}{27}$

d)

\frac{8}{18}

6.

What is the probability that a randomly selected student plays sports given that they do not do community service?

a)

$\frac{4}{27}$

b)

$\frac{4}{12}$

c)

$\frac{4}{9}$

d)

$\frac{4}{5}$

7.

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

Find P( Full-time | Male)

a)

7/3

b)

3/10

c)

3/7

d)

4/7

8.

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

Find P( Female | Part-time) =

a)

15/31

b)

43/71

c)

31/43

d)

15/43

9.

P(Sandals|Pants):

a)

4/20

b)

6/15

c)

1/2

d)

2/7

10.

The weather forecaster predicted it will be 4/5 chance of rain for Monday and 2/3 chance of rain for Tuesday. What is the probability it will rain both days?

a)

1/2

b)

20/15

c)

8/15

d)

6/8

11.

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

a)

.5

b)

.45

c)

.55

12.

What is the probability of choosing a Honda?

a)

.5970

b)

.5373

c)

.4627

d)

.4030

13.

What is the probability that they speak French given they are a girl?

a)

2.14

b)

.24

c)

.4

d)

.8571

14.

a)

.2855

b)

.6246

c)

.0922

d)

.3230

15.

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

16.

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

a)

.2

b)

.2222

c)

.10

d)

.5

17.

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds an AA, given they hold a Visa.

a)

.0267

b)

37.5

c)

.02

d)

.3333

18.

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

a)

.7273

b)

.4

c)

.16

d)

.22

19.

The probability that a woman likes the color blue is 10%. The probability of liking blue is 40%. What is the probability that a woman is chosen given they liked the color blue?

a)

4

b)

.4

c)

.1

d)

.25

20.

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

a)

.525

b)

.4627

c)

.6774

d)

.3143

21.

What percentage of the days that it rained, did they forecast no rain?

a)

About 20%

b)

About 18%

c)

About 14%

d)

About 12%

22.

P(Sandals|Pants):

a)

4/20

b)

6/15

c)

1/2

d)

2/7

23.

A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?

a)

59.5%

b)

10.5%

c)

1.6%

d)

Not enough information

24.

What is the probability of choosing someone who doesn't play given that they are not a boy.

a)

5/6

b)

1/3

c)

5/14

d)

23/42

25.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

26.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

27.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

28.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

29.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

30.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

31.

What is the correct set up for the problem to solve for side w?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

32.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

33.

Find the length of side x.

a)

10

b)

11.3

c)

12.0

d)

15.0

34.

Find the length of side x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

35.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

36.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

37.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

38.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

39.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

40.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

41.

Find the ratio for tanA. (Reduce the fraction)

a)

36/27

b)

4/3

c)

36/45

d)

4/5

42.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

43.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

44.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

45.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

46.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

47.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

48.

What is the correct set up for the problem to solve for side w?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

49.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

50.

Find the length of side x.

a)

10

b)

11.3

c)

12.0

d)

15.0

51.

Find the length of side x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

52.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

35.8°

b)

43.8°

c)

46.2°

d)

54.2°

53.

Find the measure of the indicated angle. Round to the nearest tenth.

a)

48.9°

b)

60.7°

c)

29.3°

d)

41.1°

54.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

55.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

56.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

57.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

58.

Find the ratio for tanA. (Reduce the fraction)

a)

36/27

b)

4/3

c)

36/45

d)

4/5

59.

solve for x. round to the nearest tenth.

a)

19.1

b)

8.7

c)

29.4

d)

24.6

60.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

61.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

62.

What trig ratio would solve this problem?

a)

SINE

b)

COSINE

c)

TANGENT

d)

BINGBONG

63.

Find and describe the error made in this student's work.

a)

They should have used cosine instead.

b)

They should have used tangent instead.

c)

They should have multiplied (2)(4.5)

d)

They should not have used the inverse sine.

e)

They plugged the numbers into the calculator wrong.

64.

Solve for x. Round to the nearest tenth.

a)

74.9

b)

3.6

c)

63.5

d)

54.1

65.

What trig ratio would solve this problem?

a)

SINE

b)

COSINE

c)

TANGENT

d)

JELLYBEAN

66.

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

67.

What trig ratio would solve for the height of the tree?

a)

SINE

b)

COSINE

c)

POPCORN

d)

TANGENT

68.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

69.

What trig ratio would solve this problem?

a)

COSINE

b)

SINE

c)

TANGENT

d)

THETA

70.

Choose the correct ratio.

a)

cos(57)=x/20

b)

sin(57)=x/20

c)

cos(57)=20/x

d)

sin(57)=20/x

71.

Sine of an angle is the ratio of which side lengths of a right triangle?

a)

Opposite/Adjacent

b)

Opposite/Hypotenuse

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

72.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

73.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

74.

Which ratio would you use to solve for x?

a)

Sine Ratio

b)

Cosine Ratio

c)

Tangent Ratio

75.

Using your calculator, find cos 25° to the nearest hundredth.

a)

0.9

b)

0.91

c)

0.42

d)

0.99

76.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

77.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

78.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

79.

What is the acronym to help you remember the ratios to use in trigonometry?

a)

RIGHTANG

b)

SOHCAHTOA

c)

SHOCHATOA

80.

What leg is considered the hypotenuse?

a)

Any side

b)

the side opposite the smallest angle

c)

the side opposite the right angle

d)

the side opposite the shortest leg

81.

Find x round to the nearest tenth (one decimal point).

(a)

82.

What is the value of x? (Round to the nearest tenth).

(a)

83.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

84.

Which trig function would help you solve for the missing angle?

a)

sine

b)

cosine

c)

tangent

d)

pythagorean theorem

85.

Solve for x. Round to the nearest whole number (no decimal points!)

(a)

86.

What is the correct set up for the problem to solve for side w?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

87.

What is the SINE ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

$\frac{\text{opposite}}{\text{adjacent}}$

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

88.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

89.

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.

a)

34 degrees

b)

56 degrees

c)

72 degrees

d)

15 degrees

90.

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

a)

66 degrees

b)

80 degrees

c)

30 degrees

d)

19 degrees

91.

Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be?

a)

5.3 feet

b)

2.8 feet

c)

3.2 feet

d)

11.3 feet

92.

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles. What is the diagonal distance it has traveled from take off to it's current position?

a)

15 miles

b)

38 miles

c)

17 miles

d)

20 miles

93.

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?

a)

11.1 ft.

b)

9 ft.

c)

7.4 ft.

d)

13.8 ft.

94.

Round your answer to the nearest tenth.

a)

36.9^°

b)

31.0^°

c)

59.0^°

d)

53.1^°

95.

To the nearest whole degree.

a)

66^°

b)

24^°

c)

22^°

d)

^37°

96.

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

97.

Find the height of the tree. Assume the angle looking up to the tree is 38^o.

a)

12.5 ft

b)

11.9 ft

c)

6.88 ft

d)

17.5 ft

98.

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)

63.6 ft

b)

1.59 ft

c)

74.2 ft

d)

86.9 ft

Final Exam Review

Total questions: 98

Worksheet time: 5hrs 34mins

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