Free Printable Geo B Final Review

1.

tan X = ___________

a)

32/40

b)

40/24

c)

32/24

d)

24/32

2.

sin A = ___________

a)

32/40

b)

32/24

c)

24/40

d)

24/32

3.

cos C = ___________

a)

16/34

b)

16/30

c)

30/34

d)

34/16

4.

Find the length w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

5.

cos P = ____________

a)

p/q

b)

q/r

c)

p/r

d)

r/q

6.

sin C = ___________

a)

21/35

b)

28/21

c)

35/28

d)

28/35

7.

tan Z = ___________

a)

35/21

b)

21/28

c)

35/28

d)

28/21

8.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

cos(37)=14/x

9.

What would you use to solve for a?

a)

sin

b)

cos

c)

tan

d)

Pythagorean theorem

10.

Which is the ratio of the opposite leg to the hypotenuse in a right triangle?

a)

sine

b)

cosine

c)

tangent

d)

secant

11.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

12.

Solve for x. Round to the nearest tenth.

a)

74.9

b)

3.6

c)

63.5

d)

54.1

13.

Fill in the blank...
SOH ___ TOA

a)

COH

b)

CAH

c)

COA

d)

CHA

14.

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

15.

What is the value of x?

a)

17.30

b)

11.33

c)

0.06

d)

23.82

16.

What is the side next to the angle you're starting from?

a)

Adjacent leg

b)

Opposite leg

c)

Hypotenuse

17.

What is the side opposite the right angle?

a)

Opposite leg

b)

Hypotenuse

c)

Hippopotamus

d)

Adjacent leg

18.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

19.

Which is the ratio of the opposite leg to the adjacent leg in a right triangle?

a)

sine

b)

cosine

c)

tangent

d)

secant

20.

Which is the ratio of the adjacent leg to the hypotenuse in a right triangle?

a)

sine

b)

cosine

c)

tangent

d)

secant

21.

Find a. Round your answer to the nearest tenth.

a)

11.8

b)

8.0

c)

10.3

d)

7.5

22.

Which of the following is NOT true about similar figures?

a)

A) Similar figures always have the same shape.

b)

B) Similar figures always have the same size.

c)

C) Similar figures always have corresponding angles that are equal.

d)

D) Similar figures always have corresponding sides that are proportional.

23.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

24.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

25.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

26.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

27.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

28.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

29.

Why are the triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

Not similar

30.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

31.

If the triangles are similar, state how.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

32.

If the triangles are similar, state why.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

33.

If the triangles are similar, state how.

a)

SAS

b)

AA

c)

SSS

d)

Not similar

34.

Are these triangles similar?
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 80⁰,40⁰

a)

Yes

b)

No

c)

There is not enough information to decide.

35.

Calculate the value of the scale factor between the 2 triangles

a)

2.5

b)

3

c)

3.5

d)

4

36.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

a)

3.75

b)

9.75

c)

10

d)

12

37.

Solve for x. The two figures are similar.

a)

x = 6

b)

x = 9

c)

x = 7

d)

x = `0

38.

The pair of figures is similar. Find the missing side.

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

39.

Calculate the value of A'D'.

a)

10

b)

15

c)

20

d)

25

40.

What is the height of the Tree?

a)

20

b)

15

c)

30

d)

10

41.

Complete the Proof above.

a)

AA

b)

SSS

c)

SAS

d)

HL

42.

Find AE

a)

12.5

b)

18

c)

11.75

d)

13

43.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

44.

Complete each proportion.
AB / AM = ? / DM

a)

BC

b)

AC

c)

MD

d)

MC

45.

Solve the proportion.

a)

20

b)

7

c)

22

d)

11

46.

What is the scale factor of the dilation? Assume that PONM is the image (final figure).

a)

2/3

b)

1/2

c)

3/2

d)

2

47.

What is the scale factor of the dilation? Assume that Triangle DEF is the image (final figure).

a)

1/2

b)

7/3

c)

2

d)

10/3

48.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

a)

3.75

b)

9.75

c)

10

d)

12

49.

What type of correlation does this graph have?

a)

Negative

b)

no association

c)

positive

50.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

51.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 12 absences should get approximately what score on the final exam?

a)

60

b)

92

c)

70

d)

76

52.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

53.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

a)

85

b)

92

c)

70

d)

76

54.

Based on the graph, if Joe earned $400, how many hours did he work?

a)

25 hours

b)

35 hours

c)

45 hours

d)

15 hours

55.

Which scatter plot show a positive relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

56.

Based on the scatterplot, which of the following conclusions about the relationship between her height and weight is true?

a)

There is a negative relationship between height and weight

b)

There is a positive relationship between height and weight

c)

There is a constant relationship between height and weight

d)

There is no relationship between height and weight

57.

As x increases, y increases

a)

correlation coefficient

b)

causation

c)

positive correlation

d)

negative correlation

58.

What is the correlation?

a)

Negative correlation

b)

No correlation

c)

Positive correlation

d)

All of the above

59.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

a)

A

b)

B

c)

C

d)

D

60.

What is a scatter plot?

a)

A graph that shows the relationship of two data sets.

b)

A graph drawn using rectangular bars to show how large each value is.

c)

A graph that shows information that is connected in some way.

d)

A graph that shows data changing over time.

61.

What represents the x axis?

a)

ABC Company

b)

Hours Worked

c)

Amount Earned in Dollars

d)

Hours in Car

62.

The number of siblings you have and your weight.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

All of the above

63.

What is a trend line that shows the most accurate relationship between x and y and is is very close to most of the data points?

a)

linear regression

b)

no correlation

c)

trend line

d)

line of best fit

64.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

65.

The age of a kitten and its weight.

a)

positive association

b)

negative association

c)

no association

66.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

67.

What type of correlation (association)?
The outside temperature and the amount of layers you wear.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

All of the above

68.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 6 chapters.

a)

≅100 pages

b)

≅170 pages

c)

≅60 pages

d)

≅20 pages

69.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

70.

Which graph has no association?

a)

A

b)

B

c)

C

d)

D

71.

JoBeth draws a scatter plot that shows as the outside temperature increases, sales at her lemonade stand increase. Which best describes the scatter plot?

a)

The points show that as x-values increase, y-values increase.

b)

The points show that as x-values increase, y-values decrease.

c)

The points show that as x-values decrease, y-values stay the same.

d)

The points show that as x-values decrease, y-values increase.

72.

Which of these points appears to be an “Outlier?”

a)

A

b)

B

c)

C

d)

D

73.

A negative residual means...

a)

that the actual value is bigger than the predicted value

b)

that the actual value is smaller than the predicted value

c)

that the x value is bigger than the y value

d)

that the x value is smaller than the y value

74.

A positive residual means...

a)

that the actual value is bigger than the predicted value

b)

that the actual value is smaller than the predicted value

c)

that the x value is bigger than the y value

d)

the x value is smaller than the y value

75.

A residual on a graph is the vertical distance between a data point and a line of fit.

a)

True

b)

False

76.

The line of best fit, where x = distance (in miles) traveled and y = time (in hours) driving is

$y=-1.79+61.93x$ . Predict how far a person will travel driving 10 hours.

a)

617.51 miles

b)

621.09 miles

c)

100 miles

d)

0.19 miles

77.

Determine the predicted income if 22 hours were worked on an assembly job.

a)

$207.30

b)

$449.60

c)

$691.90

d)

$543.30

78.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

79.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

80.

What is a line of best fit used for?

a)

To make predictions

b)

To make the graph look pretty

c)

To connect the points

d)

To make it look like you know what you are doing

81.

Interpret the slope of the given line of best fit: $y=11.38+1.81x$ , where x = number of hours worked and y = amount of money spent on entertainment.

a)

For each additional hour worked, the predicted amount of money spent on entertainment increases by $1.81.

b)

For each additional hour worked, the predicted amount of money spent on entertainment decreases by $1.81.

c)

For each additional dollar spent on entertainment, the predicted amount of hours worked increases by 1.81 hours.

d)

For each additional dollar spent on entertainment, the predicted amount of hours worked decreases by 1.81 hours.

82.

Interpret the y-intercept of the given line of best fit: $y=11.38+1.81x$ , where x = number of hours worked and y = amount of money spent on entertainment.

a)

When someone works 0 hours, the predicted amount of money spent on entertainment is $11.38.

b)

When someone works 1 hour, the predicted amount of money spent on entertainment is $11.38.

c)

When someone spends $0 on entertainment, the predicted amount of hours worked is 11.38.

d)

When someone spends $1 on entertainment, the predicted amount of hours worked is 11.38.

83.

When a person worked 22 hours at an assembly job, the actual income earned was $510.80. Determine the residual.

a)

$61.20

b)

$449.60

c)

-$61.20

d)

$960.40

84.

What type of correlation does this graph have?

a)

Negative

b)

no association

c)

positive

85.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

86.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 12 absences should get approximately what score on the final exam?

a)

60

b)

92

c)

70

d)

76

87.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

88.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

a)

85

b)

92

c)

70

d)

76

89.

Based on the graph, if Joe earned $400, how many hours did he work?

a)

25 hours

b)

35 hours

c)

45 hours

d)

15 hours

90.

Which scatter plot show a positive relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

91.

Based on the scatterplot, which of the following conclusions about the relationship between her height and weight is true?

a)

There is a negative relationship between height and weight

b)

There is a positive relationship between height and weight

c)

There is a constant relationship between height and weight

d)

There is no relationship between height and weight

92.

As x increases, y increases

a)

correlation coefficient

b)

causation

c)

positive correlation

d)

negative correlation

93.

What is the correlation?

a)

Negative correlation

b)

No correlation

c)

Positive correlation

d)

All of the above

94.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

a)

A

b)

B

c)

C

d)

D

95.

What is a scatter plot?

a)

A graph that shows the relationship of two data sets.

b)

A graph drawn using rectangular bars to show how large each value is.

c)

A graph that shows information that is connected in some way.

d)

A graph that shows data changing over time.

96.

What represents the x axis?

a)

ABC Company

b)

Hours Worked

c)

Amount Earned in Dollars

d)

Hours in Car

97.

The number of siblings you have and your weight.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

All of the above

98.

What is a trend line that shows the most accurate relationship between x and y and is is very close to most of the data points?

a)

linear regression

b)

no correlation

c)

trend line

d)

line of best fit

99.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

100.

The age of a kitten and its weight.

a)

positive association

b)

negative association

c)

no association

101.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

102.

What type of correlation (association)?
The outside temperature and the amount of layers you wear.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

All of the above

103.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 6 chapters.

a)

≅100 pages

b)

≅170 pages

c)

≅60 pages

d)

≅20 pages

104.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

105.

Which graph has no association?

a)

A

b)

B

c)

C

d)

D

106.

JoBeth draws a scatter plot that shows as the outside temperature increases, sales at her lemonade stand increase. Which best describes the scatter plot?

a)

The points show that as x-values increase, y-values increase.

b)

The points show that as x-values increase, y-values decrease.

c)

The points show that as x-values decrease, y-values stay the same.

d)

The points show that as x-values decrease, y-values increase.

107.

Which of these points appears to be an “Outlier?”

a)

A

b)

B

c)

C

d)

D

108.

A negative residual means...

a)

that the actual value is bigger than the predicted value

b)

that the actual value is smaller than the predicted value

c)

that the x value is bigger than the y value

d)

that the x value is smaller than the y value

109.

A positive residual means...

a)

that the actual value is bigger than the predicted value

b)

that the actual value is smaller than the predicted value

c)

that the x value is bigger than the y value

d)

the x value is smaller than the y value

110.

A residual on a graph is the vertical distance between a data point and a line of fit.

a)

True

b)

False

111.

The line of best fit, where x = distance (in miles) traveled and y = time (in hours) driving is

$y=-1.79+61.93x$ . Predict how far a person will travel driving 10 hours.

a)

617.51 miles

b)

621.09 miles

c)

100 miles

d)

0.19 miles

112.

Determine the predicted income if 22 hours were worked on an assembly job.

a)

$207.30

b)

$449.60

c)

$691.90

d)

$543.30

113.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

114.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

115.

What is a line of best fit used for?

a)

To make predictions

b)

To make the graph look pretty

c)

To connect the points

d)

To make it look like you know what you are doing

116.

Interpret the slope of the given line of best fit: $y=11.38+1.81x$ , where x = number of hours worked and y = amount of money spent on entertainment.

a)

For each additional hour worked, the predicted amount of money spent on entertainment increases by $1.81.

b)

For each additional hour worked, the predicted amount of money spent on entertainment decreases by $1.81.

c)

For each additional dollar spent on entertainment, the predicted amount of hours worked increases by 1.81 hours.

d)

For each additional dollar spent on entertainment, the predicted amount of hours worked decreases by 1.81 hours.

117.

Interpret the y-intercept of the given line of best fit: $y=11.38+1.81x$ , where x = number of hours worked and y = amount of money spent on entertainment.

a)

When someone works 0 hours, the predicted amount of money spent on entertainment is $11.38.

b)

When someone works 1 hour, the predicted amount of money spent on entertainment is $11.38.

c)

When someone spends $0 on entertainment, the predicted amount of hours worked is 11.38.

d)

When someone spends $1 on entertainment, the predicted amount of hours worked is 11.38.

118.

When a person worked 22 hours at an assembly job, the actual income earned was $510.80. Determine the residual.

a)

$61.20

b)

$449.60

c)

-$61.20

d)

$960.40

119.

What is the formula for the sum of interior angles in any polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360÷n

120.

Find the sum of the interior angles of the polygon.

a)

720°

b)

900°

c)

1080°

d)

1260°

121.

What is the sum of the interior angles for a pentagon?

a)

900°

b)

540°

c)

360°

d)

108°

122.

If the sum of the interior angles of a polygon is 1980°, how many sides are there (solve backwards for n)?

a)

11 sides

b)

13 sides

c)

9 sides

d)

12 sides

123.

Find the value of x.

a)

75

b)

85

c)

100

d)

45

124.

Find the value of X

a)

94

b)

25

c)

36

d)

180

125.

What is the formula for the measure of one interior angle in a regular polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360÷n

126.

What is the measure of one interior angle of a regular octagon?

a)

135°

b)

180°

c)

145°

d)

190°

127.

What is the measure of one interior angle of a regular 20-gon?

a)

90°

b)

146°

c)

162°

d)

122°

128.

Solve for b.

a)

110

b)

108

c)

72

d)

80

129.

What is the formula for the sum of the exterior angles in any polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360÷n

130.

What is the sum of the exterior angles of a pentagon?

a)

180°

b)

360°

c)

540°

d)

760°

131.

What is the sum of the exterior angles of a regular dodecagon?

a)

30°

b)

360°

c)

1800°

d)

180°

132.

What is the value of x?

a)

26.25

b)

38.75

c)

24

d)

25.125

133.

Solve for a.

a)

90

b)

180

c)

270

d)

80

134.

Solve for the missing variable.

a)

255

b)

90

c)

60

d)

105

135.

Find the value of X.

a)

60

b)

120

c)

85

d)

55

136.

What is the formula for the measure of one exterior angle in a regular polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360÷n

137.

Find the measure of one exterior angle of a regular dodecagon.

a)

36^o

b)

144^o

c)

30^o

d)

150^o

138.

If an exterior angle of a regular polygon has a measure of 36 degrees, how many sides does it have?

a)

10 sides

b)

3 sides

c)

7 sides

d)

11 sides

139.

Volume is the amount of space an object takes up.

a)

True

b)

False

140.

What is the volume of this rectangular prism?

a)

60 cubic centimeters

b)

15 cubic centimeters

c)

20 cubic centimeters

d)

6 cubic centimeters

141.

Which label would NOT be appropriate for volume?

a)

square miles

b)

inches³

c)

cm³

d)

cubic feet

142.

Find the volume of the cylinder.

a)

4239

b)

1696

c)

1130

d)

565

143.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

144.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

145.

What does the "B" in the volume formula V = BH stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

146.

V = ?

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

147.

The units for Volume are always

a)

squared (to the 2nd power)

b)

cubed (to the 3rd power)

c)

quad (to the 4th power)

d)

pent (to the 5th power)

148.

The rectangular prism is 10 feet wide and 2 feet wide. The volume is 160 cubic feet. What is the height of the prism?

a)

20 ft.

b)

8 ft.

c)

172 ft.

d)

160 ft

149.

Find the volume of the triangular pyramid. Round to the nearest whole number.

a)

317 units³

b)

635 units³

c)

1,904 units³

d)

890 units³

150.

Find the volume of the triangular prism.

a)

1120 ft ³

b)

600 ft ³

c)

560 ft ³

d)

64 ft ³

151.

Find the surface area of the sphere, given diameter is 10.

a)

314.16 in²

b)

314 in²

c)

166.67 in²

d)

521.24 in²

152.

Find the Total Volume of the figure. (Volume of prism + Volume of pyramid)

a)

2400 ft³

b)

1920 ft³

c)

4128 ft³

d)

2112 ft³

153.

Find the volume of the hemisphere

a)

904.3 cm³

b)

226.1 cm³

c)

113.0 cm³

d)

452.2 cm³

154.

Find the total volume of the region (Cone + Hemisphere)

a)

about 19 in³

b)

about 24 in³

c)

about 29 in³

d)

about 34 in³

155.

What is the surface area?

a)

6658.56 mm²

b)

452.16 mm²

c)

904.32 mm²

d)

108.8 mm²

156.

Which formula calculates the volume of a sphere?

a)

$\frac{4}{3}\pi r^3$

b)

$4\pi r^2$

c)

$\frac{1}{3}\pi r^3$

d)

$\pi r^2$

157.

Which formula calculates the surface area of a sphere?

a)

$\frac{4}{3}\pi r^3$

b)

$4\pi r^2$

c)

$\frac{1}{3}\pi r^3$

d)

$\pi r^2$

Geo B Final Review

Total questions: 157

Worksheet time: 10hrs 9mins

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