Free Printable Quarter 3 Exam Review

1.

Find the missing value.

Round to the nearest tenths.

a)

52.1^o

b)

37.9^o

c)

52.1 cm

d)

50.6 cm

2.

Find the missing value.

Round to the nearest tenths.

a)

33.9 mm

b)

3.4 mm

c)

10.5 mm

d)

36.2 mm

3.

Find the missing value.

Round to the nearest tenths.

a)

34.2^o

b)

55.8^o

c)

39.6^o

d)

29.7^o

4.

Find the missing value.

Round to the nearest tenths.

a)

36.6 in

b)

43.7 in

c)

47.8 in

d)

37.4 in

5.

Find the missing value.

Round to the nearest tenths.

a)

50.6^o

b)

29.4^o

c)

34.8^o

d)

50.1^o

6.

Find the missing value.

Round to the nearest tenths.

a)

23.6 miles

b)

4.6 miles

c)

.9 miles

d)

20.7 miles

7.

Find the missing value.

Round to the nearest tenths.

a)

50.1^o

b)

39.9^o

c)

32.7^o

d)

51.6^o

8.

Find the missing value.

Round to the nearest tenths.

a)

5.9 lightyears

b)

5.0 lightyears

c)

7.1 lightyears

d)

7.5 lightyears

9.

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5^o. How far are you from the bottom of the lighthouse?

a)

2000.3 feet

b)

2007.3 feet

c)

1997.9 feet

d)

2134.8 feet

10.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3^o. How tall is the enemy castle wall?

a)

78.6 meters

b)

1498.0 meters

c)

78.5 meters

d)

75.3 meters

11.

What are the only types of triangles we can use trigonometry with?

a)

Obtuse

b)

Acute

c)

Right

d)

Any type of triangle

12.

Which is the trig function that relates the adjacent side and the hypotenuse?

a)

cosine

b)

sine

c)

tangent

d)

all of the above

13.

Which is the trig function that relates the opposite side and the hypotenuse?

a)

tangent

b)

sine

c)

cosine

d)

all of the above

14.

Which is the trig function relates the opposite side and the adjacent side?

a)

sine

b)

cosine

c)

tangent

d)

all of the above

15.

What is the side of the right triangle that is opposite to the right angle called?

a)

Short side

b)

Adjacent side

c)

Opposite side

d)

Hypotenuse

16.

Which ratio represents sin(A)?

a)

32/40

b)

32/24

c)

24/40

d)

24/32

17.

Which ratio represents cos(C)?

a)

16/34

b)

16/30

c)

30/34

d)

34/16

18.

What do the angles in a triangle sum to?

a)

Every triangle is different

b)

360 degrees

c)

90 degrees

d)

180 degrees

19.

Find the missing side lengths.

a)

a = 4, b = 4

b)

a = 4, b = 2√2

c)

a = 2√2, b = 4

d)

a = 4, b = 4

20.

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

a)

4√2

b)

4

c)

8

d)

4√3

21.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

22.

Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)

a)

4

b)

u

c)

v

23.

Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)

a)

4

b)

u

c)

v

24.

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

Which of the following is the correct diagram for the problem?

a)

b)

c)

d)

25.

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of 74^𝑜 with the level ground. How high on the wall does the ladder reach?

Which of the following is the correct diagram for the problem?

a)

b)

c)

d)

26.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

27.

Translations, rotations, and reflections are three different types of what?

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

28.

Translations, rotations, and reflections are three different types of what?

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

29.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

30.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

31.

A flip is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

32.

Congruent means...

a)

The same angles.

b)

The same size and same shape.

c)

Equal to.

d)

The same transformation.

33.

Describe the Transformation

a)

Translation

b)

Reflection

c)

Rotation

34.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

35.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

36.

The result of a transformation.

a)

Pre-image

b)

Image

37.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

38.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

39.

The mathematical term for the line that you reflect a shape over is the...

a)

Mirror

b)

Reflective tape

c)

Line that you reflect over

d)

Line of reflection

40.

After a figure has been transformed, we call the new figure the...

a)

Image

b)

Different shape

c)

Figure that moved

d)

Prime

41.

Describe the transformation:

(x, y) -> (x-2, y+7)

a)

Translation 2 units to the left & 7 units up

b)

Translation 2 units to the left & 7 units down

c)

Translation 2 units to the right & 7 units up

d)

Translation 2 units to the right & 7 units down

42.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

43.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

44.

What rule represents a reflection over the x-axis?

a)

Change sign on x-value, keep sign on y-value.

b)

Change sign on both x-value and y-value

c)

Flip & keep both signs the same

d)

Keep sign on x-value, change sign on y-value.

45.

What rule represents a reflection over the y-axis?

a)

Change sign on x-value, keep sign on y-value.

b)

Keep sign on x-value, change sign on y-value.

c)

Flip & change both signs.

d)

Change sign on both x-value and y-value.

46.

What rule represents a rotation 180 degree about the origin?

a)

Flip & change sign on x-value.

b)

Change sign on x-value and y-value.

c)

Flip & change sign on y-value.

d)

Flip x-value and y-value.

47.

What rule represents a rotation of 90 degrees clockwise about the origin?

a)

Flip & change sign on x-value.

b)

Change sign on y-value.

c)

Flip & change sign on y-value.

d)

Change sign on both x-value and y-value.

48.

What rule represents a rotation of 90 degrees counterclockwise about the origin?

a)

Flip & change sign on x-value.

b)

Change sign on x-value.

c)

Flip & change sign on y-value.

d)

Change sign on both x-value and y-value.

49.

During a translation, if the figure is moving right what do you need to do to the coordinates?

a)

add to the x-value

b)

add to the y-value

c)

subtract from the x-value

d)

subtract from the y-value

50.

During a translation, if the figure is moving left what do you need to do to the coordinates?

a)

add to the x-value

b)

add to the y-value

c)

subtract from the x-value

d)

subtract from the y-value

51.

During a translation, if the figure is moving up what do you need to do to the coordinates?

a)

add to the x-value

b)

add to the y-value

c)

subtract from the x-value

d)

subtract from the y-value

52.

Which is a rule for a reflection over the x-axis?

a)

$f\left(x,y\right)=\left(x,-y\right)$

b)

$f\left(x,y\right)=\left(-x,y\right)$

c)

$f\left(x,\ y\right)=\ \left(-y,\ x\right)$

d)

$f\left(x,\ y\right)=\ \left(y,-\ x\right)$

53.

What does the rule $f\left(x,y\right)=\left(x-6,y+4\right)$ tell you to do?

a)

Translate right 6 & up 4

b)

Translate left 6 & up 4

c)

Translate right 6 & down 4

d)

Translate left 6 & down 4

54.

What does the rule $f\left(x,y\right)=\left(x-6,y+4\right)$ tell you to do?

a)

Translate right 6 & up 4

b)

Translate left 6 & up 4

c)

Translate right 6 & down 4

d)

Translate left 6 & down 4

55.

Which rule shows a dilation with a scale factor of 2?

a)

$f\left(x,y\right)=\left(x+2,\ y+2\right)$

b)

$f\left(x,y\right)=\left(\frac{1}{2}x,\frac{1}{2}y\right)$

c)

$f\left(x,y\right)=\left(2x,2y\right)$

d)

You can't dilate a figure with a scale factor of two.

56.

Check all transformations that are an isometry

a)

Dilation

b)

Translation

c)

Rotation

d)

Reflection

57.

Which transformation is not an isometry?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

58.

Elijah is drawing the line $y=7$ This line is drawn in which direction?

a)

Horizontally, @ the point @ the point $y=7$

b)

Vertically, @ the point $y=7$

59.

Which written description matches the rule $f\left(x,y\right)=\left(-x,y\right)$

a)

Rotation 90 degrees ccw

b)

Rotation 270 degrees ccw

c)

Reflection over the x-axis

d)

Reflection over the y-axis

60.

$f\left(x,y\right)=\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$ is a rule for which transformation?

a)

Dilation with scale factor of 2

b)

Dilation with scale factor of 1/2

c)

Translation right 2 up 2

d)

Translation right 1/2 up 1/ 2

61.

What is the area?

a)

12cm²

b)

14

c)

14cm²

d)

145

62.

Find the area of this triangle.

a)

15 in²

b)

30 in²

c)

15 in

d)

30 in

63.

What units do we use to show area?

a)

units

b)

squared units

c)

cubed units

64.

Find the area of this shape

a)

13 cm

b)

36cm²

c)

13cm²

d)

36cm

65.

Find the area of this shape

a)

$49\pi$ inches squared

b)

$42\pi$ inches squared

c)

153 inches squared

d)

$14\pi$ inches squared

66.

What is the formula for a square?

a)

A= 1/2 bh

b)

A= A= πr²

c)

A= bh

d)

A= 1/2 (b1+b2) h

67.

Find the area of this shape

a)

84 cm²

b)

70 cm²

c)

42 cm²

d)

56 cm²

68.

What is the area of the shaded region?

a)

20 sq cm

b)

4 sq cm

c)

30 sq cm

d)

24 sq cm

69.

Find the area of the circle

a)

$18\pi$ squared units

b)

$81\pi$ squared units

c)

$36\pi$ squared units

d)

$324\pi$ squared units

70.

What is the area of a circle with the diameter of 10cm ?

a)

$20\pi\ cm^2$

b)

$25\pi\ cm^2$

c)

$10\pi\ cm^2$

d)

$100\pi\ cm^2$

71.

Find the area of the circle below.

a)

$6\pi\ \ cm^2$

b)

$3\pi\ \ cm^2$

c)

$9\pi\ \ cm^2$

d)

$36\pi\ \ cm^2$

72.

What is the area of this circle?

a)

$8\pi\ m^2$

b)

$16\pi\ m^2$

c)

$64\pi\ m^2$

d)

$2\pi\ m^2$

73.

What is the radius of this circle?

a)

12 cm

b)

6 cm

c)

24 cm

d)

3 cm

74.

Find the circumference of the circle.

a)

$28\pi$ in

b)

$196\pi$ in

c)

$14\pi$ in

d)

$7\pi$ in

75.

What is the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

76.

The circumference of a circle is

a)

The measurement from an edge of a circle to another edge.

b)

The measurement around the circle

c)

The measurement from an edge of a circle to another edge going through the center

d)

The measurement from the center of the circle to an edge of the circle

77.

What is the area of the rectangle?

a)

42 square cm

b)

40 square cm

c)

40 cm

d)

42 cm

78.

The area of a rectangle is 72 sq units. One side length is 9 units. What is the other side length?

a)

9 units

b)

7 units

c)

10 units

d)

8 units

79.

Find the area of the trapezoid.

a)

30 cm²

b)

44 cm²

c)

88 cm²

d)

22 cm²

80.

Find the area?

a)

15 in²

b)

30 in²

c)

15 in

d)

30 in

81.

Find the area of the trapezoid.

a)

30 cm²

b)

44 cm²

c)

88 cm²

d)

22 cm²

82.

Find the area of this shape

a)

49 inches squared

b)

42 inches squared

c)

153 inches squared

d)

200 inches squared

83.

Find the area of this shape

a)

60 units squared

b)

45 units squared

c)

65 units squared

d)

30 units squared

84.

Find the area of this shape

a)

13 cm

b)

36cm²

c)

13cm²

d)

36cm

85.

Find the area of this shape

a)

4.5 m²

b)

5 m²

c)

9 m²

d)

6.3 m²

86.

What is the area of a square with a length of 4 cm?

a)

16 cm

b)

16 cm²

c)

8 cm²

d)

8 square cm

87.

Find the area. Round to the nearest tenth if necessary.

a)

180.8 ft²

b)

90.4 ft²

c)

30.6 ft²

d)

873.6 ft²

88.

find the area

a)

19.5

b)

78

c)

39

d)

27

89.

Find the area of the kite.

a)

315 in²

b)

630 in²

c)

180 in²

d)

360 in²

90.

Find the area of the kite.

a)

315 in²

b)

630 in²

c)

180 in²

d)

360 in²

91.

Madalyn's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

a)

63.585 ft²

b)

68.345 ft²

c)

64.585 ft²

d)

61.345 ft²

92.

Find the area of the sector outlined in bold.

a)

52.4 in²

b)

18,864 in²

c)

60 in²

d)

10.47 in

93.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section? Express answer to the nearest square foot.

a)

1 sq. ft

b)

13 sq. ft

c)

3 sq. ft

d)

26 sq. ft

94.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

95.

What is the formula for finding the area of a sector.

a)

$\left(\frac{n}{360}\right)\pi r^2$

b)

$2\pi r$

c)

$\pi r^2$

96.

What is the name of the blue region?

a)

A sector

b)

A segment

c)

A hooly bob

d)

A central angle

97.

What is the area of the shaded segment?

a)

185.0619

b)

88.9359

c)

39.3078

d)

5.7975

98.

What is the area of the shaded segment? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

99.

what is the area of this semicircle ?

a)

100.48cm²

b)

80cm²

c)

200.96cm²

d)

25.12cm²

100.

A ____ angle is an angle whose vertex is a the center of a circle.

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

101.

A ____ angle is an angle whose vertex is a the center of a circle.

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

102.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

5

b)

9

c)

8

d)

6

103.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

104.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

105.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

106.

Which is true of a minor arc?

a)

It forms half a circle.

b)

It forms a whole circle.

c)

It measures greater than 180 degrees.

d)

It measures less than 180 degrees.

107.

Which is true of a major arc?

a)

Forms half a circle.

b)

Forms a whole circle.

c)

Measures greater than 180 degrees.

d)

Measures less than 180 degrees.

108.

a)

A

b)

B

c)

C

d)

D

109.

a)

A

b)

B

c)

C

d)

D

110.

a)

A

b)

B

c)

C

d)

D

111.

a)

A

b)

B

c)

C

d)

D

112.

Which is true of a minor arc?

a)

It forms half a circle.

b)

It forms a whole circle.

c)

It measures greater than 180 degrees.

d)

It measures less than 180 degrees.

113.

Which is true of a major arc?

a)

Forms half a circle.

b)

Forms a whole circle.

c)

Measures greater than 180 degrees.

d)

Measures less than 180 degrees.

114.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

115.

Name a major arc.

a)

ABD

b)

BDA

c)

BCD

d)

DA

116.

Name a semicircle.

a)

AD

b)

ABC

c)

BA

d)

BCA

117.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

118.

Calculate the volume. To find the volume find the area of the triangle base and multiply by the height of the figure. $V=Bh,$ where B is area of triangle, h is length of rectangle.

a)

90 cm³

b)

150 cm³

c)

180 cm³

119.

$S.A.=\frac{1}{2}\left(4\pi r^2\right)$

Find the surface area of the hemisphere (half a sphere)

a)

339.3 in²

b)

226.1in²

c)

113.0 in²

d)

452.2 in²

120.

$S.A.=4\pi r^2$ The surface area of a sphere of radius 14 cm is:

a)

1386 sq.cm

b)

1400 sq.cm

c)

2464 sq.cm

d)

2000 sq.cm

121.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

122.

Is surface area.......

a)

Filling in a 3 dimensional shape

b)

wrapping the outside of a 3 dimensional shape

123.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

124.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

125.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

126.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

127.

Find the surface area

a)

60.4 m²

b)

188.49 m²

c)

94.24 m²

d)

881.94 m²

128.

What does lateral mean when asked to find the lateral surface area?

a)

Means the bases and no faces

b)

Means just the faces

129.

What is the difference between lateral area and total surface area?

a)

Total surface area includes 1 base instead of 2 bases like lateral does

b)

Lateral includes all the faces while total only includes the bases

c)

Total surface area includes the base(s) and all the faces while lateral does not include the base(s)

d)

Lateral just includes B, the area of the base while total does not

130.

What does "P" stand for in the surface area formulas?

a)

Perimeter

b)

Parallel

c)

Perimeter of the Base

d)

Pi

131.

2) What does B stand for?

a)

Perimeter

b)

Perimeter of the Base

c)

Area

d)

Area of the Base

132.

What shape is the base?

a)

Rectangle

b)

Triangle

c)

Square

d)

Trapazoid

133.

What shape is this?

a)

Cube

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Cone

134.

What is the slant height of the triangular pyramid?

a)

12 feet

b)

6 feet

c)

5.2 feet

135.

What is the lateral area of this shape?

a)

150 ft²

b)

360 ft²

c)

225 ft²

d)

250 ft²

136.

What shape will the vertical cross -section of a cylinder be?

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

137.

What cross-section is formed by slicing through a cube parallel to any face?

a)

rectangle

b)

parallelogram

c)

square

d)

triangle

138.

Robert is wanting to make a multi-colored triangular prism with sides lengths of 7 feet, 3 feet, and 10 feet. It has a height of 8 feet and a base of 20 square feet (hint; square feet means AREA). If he wants the color of the rectangles to be blue, how much blue material will he need?

a)

180 feet ²

b)

160 feet ²

c)

200 feet ²

d)

140 feet

Quarter 3 Exam Review

Total questions: 138

Worksheet time: 6hrs 37mins

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