Free Printable MATH 3110 Final Exam Review

1.

What is the perimeter of the fence?

a)

25

b)

30

c)

35

d)

40

2.

What is the perimeter of this rectangle?

a)

21 units

b)

12 units

c)

3 units

d)

None of the above.

3.

Farmer Bob needs to build a fence for his chickens. The area he wants to build a fence around is 40 feet long and 20 feet wide. How many feet of fence does he need to buy?

a)

800 feet

b)

120 feet

c)

60 feet

4.

Find the area

a)

126m

b)

120m²

c)

126m²

d)

200m²

5.

Ashley wants to use ribbon to put a border around her picture. The picture is 6 inches long and 4 inches wide. How much border will she need?

a)

24 inches

b)

20 inches

c)

10 inches

6.

A perimeter of a rectangle is 34 meters. The width is 4 meters. What would the length be?

a)

17 m

b)

13 m

c)

15 m

7.

Suppose the dimensions of a triangle with a perimeter of 18 units are doubled. Find the perimeter of the new triangle.

a)

18

b)

36

c)

72

d)

288

8.

Suppose the dimensions of a pentagon with an area of 12 are tripled Find the area of the new pentagon in square inches.

a)

108

b)

36

c)

72

d)

144

9.

What is the perimeter and area of this irregular shape?

a)

18 units

b)

22 units

c)

16 units

d)

22 sq. units

e)

16 sq. units

10.

If the area of a rectangle is 24 sq. cm, what could be the measures of the length and width? You must choose all correct answers.

a)

Length: 24 cm

Width: 1 cm

b)

Length: 12 cm

Width: 2 cm

c)

Length: 6 cm

Width: 4 cm

d)

Length: 5 cm

Width: 7 cm

e)

Length: 8 cm

Width: 3 cm

11.

Find the surface area of the rectangular prism with the following dimensions:
length = 11 m
height = 7 m
width = 2 m

a)

226 m squared

b)

220 m squared

c)

150 m squared

d)

154 m squared

12.

. Find the volume of the figure below to the nearest tenth. Use 3.14 for π.

a)

791.3 cm³

b)

1017.4 cm³

c)

2373.8 cm³

d)

9495.4 cm³

13.

Find the volume of the figure below.

a)

108 units³

b)

144 units³

c)

236 units³

d)

324 units³

14.

Find the volume of a sphere with radius 11 m to the nearest tenth. Use 3.14 for π.

a)

1519.8 m³

b)

2696.5 m³

c)

3271.1 m³

d)

5572.5 m³

15.

A triangular prism is shown below.What is the surface area of the triangular prism?

a)

580 ft^2

b)

640 ft^2

c)

840 ft ^2

d)

960 ft^2

16.

What is the volume of this complex shape?

a)

28 cm³

b)

336 cm³

c)

304 cm³

d)

32 cm

17.

Two triangles are similar and have corresponding base lengths of 9cm and 3cm.
If the smaller triangle has an area of 24 square centimeters, what is the area of the large triangle?

a)

72 square cm

b)

144 square cm

c)

216 square cm

d)

288 square cm

18.

Name the corresponding angle to angle 3.

a)

Angle 5

b)

Angle 1

c)

Angle 4

d)

Angle 2

19.

What is the relationship between angle 1 and angle 5?

a)

They are just friends. :)

b)

Alternating interior angles

c)

Alternating exterior angles

d)

Corresponding angles

20.

Find the measure of angle N if the measure of angle R is 146^o.

a)

146^o

b)

34^o

c)

90^o

d)

136^o

21.

Find the measure of angle QRN when the measure of angle MNR is 52^o.

a)

38^o

b)

128^o

c)

180^o

d)

138^o

22.

This net represents which solid?

a)

triangular pyramid

b)

rectangular prism

c)

cone

d)

square pyramid

23.

What is the sum of the interior angles of a triangle?

a)

360

b)

180

c)

270

d)

90

24.

What is the measure of a right angle?

a)

45 degrees

b)

180 degrees

c)

60 degrees

d)

90 degrees

25.

What is the name of an angle that measures less than 90 degrees?

a)

straight angle

b)

obtuse angle

c)

acute angle

d)

right angle

26.

What is the name of an angle that measures more than 90 degrees but less than 180 degrees?

a)

straight angle

b)

obtuse angle

c)

right angle

d)

acute angle

27.

What is the name of a triangle that has all sides of equal length?

a)

scalene triangle

b)

equilateral triangle

c)

isosceles triangle

d)

right triangle

28.

Find the number of degrees in the third angle of the triangle

a)

155

b)

112

c)

74

d)

68

29.

Which are pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

30.

Convert 300 meters to centimeters:

a)

3000 cm

b)

0.3 cm

c)

30,000 cm

d)

3 cn

31.

Convert 8 kilometers to meters

a)

800 m

b)

80,000 m

c)

8,000 m

d)

.008 m

32.

1000 grams = _____ kilograms

a)

0.0001

b)

1,000,000

c)

10

d)

1

33.

Is 20 g greater than, less than, or equal to 2 kg?

a)

greater than

b)

less than

c)

equal to

34.

42 L = ___mL

a)

4,200

b)

.0042

c)

4.20

d)

42,000

35.

8 $m^2$ =__________ $cm^2$

a)

80

b)

800

c)

8 000

d)

80 000

36.

0.47 $cm^2$ =__________ $mm^2$

a)

4.7

b)

47

c)

470

d)

4 700

37.

Perform the following conversions

a)

75 000 cm2

b)

75 000 000 cm2

c)

750 cm2

d)

7500 cm2

38.

Compare these two rectangles.

A: 4 by 5

B: 10 by 2

a)

they have the same perimeter

b)

the widths are the same

c)

the side lengths are the same

d)

they have the same area

39.

a)

$120mm^3$

b)

$1,200mm^3$

c)

$1.2mm^3$

d)

$12mm^3$

40.

Convert 5 cubic feet to cubic inches.

a)

720

b)

540

c)

8640

d)

10800

41.

a)

$1,600cm^3$

b)

$1,600,000cm^3$

c)

$16,000,000cm^3$

d)

$160cm^3$

42.

a)

$5mm^3$

b)

$50mm^3$

c)

$500mm^3$

d)

$0.5mm^3$

43.

Find the scale factor going from the small triangle to the larger triangle

a)

3

b)

1/3

c)

2

d)

5

44.

Find the scale factor from triangle PQR to triangle DEF

a)

1.5

b)

2/3

c)

.6

d)

2

45.

Are the triangles similar?

a)

yes

b)

no

46.

Find the missing side

a)

24

b)

36

c)

12

d)

15

47.

Find the missing side

a)

1/3

b)

3

c)

1/2

d)

2

48.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

49.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

50.

Use the congruency statement to answer the following:
∠F = ∠ ___

a)

H

b)

I

c)

G

d)

not congruent to another angle

51.

ΔCDE ≅ ΔLMN

DE ≌ _____?

a)

LM

b)

LN

c)

∠D

d)

MN

52.

ΔDEF ≅ ΔRST

ST ≅ ____?

a)

FD

b)

DE

c)

EF

d)

RF

53.

ΔEDF ≅ Δ____

a)

ABC

b)

CAB

c)

BAC

54.

Which congruence statement is written accurately for the figures?

a)

$\Delta ABC\cong\Delta RDS$

b)

$\Delta ABC\cong\Delta DSR$

c)

$\Delta ABC\cong\Delta SRD$

d)

$\Delta ABC\cong\Delta DRS$

55.

$\Delta ABC\$ is reflected across the y-axis $\angle A\cong$ _____ ?

a)

$\angle X$

b)

$\angle Y$

c)

$\angle Z$

56.

$\Delta ABC\$ is reflected across the y-axis. $\overline{BC}\cong$ _____ ?

a)

$\overline{XY}$

b)

$\overline{YZ}$

c)

$\overline{XZ}$

57.

$\Delta ABC\$ is rotated 90 degrees about the origin $\angle A\cong$ _____ ?

a)

$\angle D$

b)

$\angle O$

c)

$\angle G$

58.

$\Delta ABC\$ is rotated 90 degrees about the origin. $\overline{AB}\cong$ _____ ?

a)

$\overline{DO}$

b)

$\overline{OG}$

c)

$\overline{DG}$

59.

If all the edges of a prism are multiplied by 5, then the volume of the prism will be multiplied by ___.

a)

5

b)

25

c)

50

d)

125

60.

Find the ratio (blue to red) of the areas.

a)

4/7

b)

7/4

c)

49/16

d)

16/49

61.

Ahmad used the the smaller unit square and found that the area of this shape is 32 square units. If he used the larger unit square, what would the area of the shape be?

a)

3 square units

b)

32 square units

c)

2 square units

d)

4 square units

62.

Anas used the smaller unit square and found that the area of this shape is 9 square units. If he used the larger unit square, what would the area of the shape be?

a)

9 square units

b)

2 square units

c)

1 square units

d)

3 square units

63.

Which rectangle has the greatest area?

a)

A

b)

B

c)

C

d)

D

64.

Look carefully at the symbols and find all of these shape's possible names. Remember the quadrilateral tree to help!

a)

quadrilateral

b)

rhombus

c)

square

d)

rectangle

e)

parallelogram

65.

Fact or Fib: A square is always a rhombus.

a)

Fact

b)

Fib

66.

Fact or Fib: Parallelograms sometimes have right angles.

a)

Fact

b)

Fib

67.

Which statement about quadrilaterals is true?

a)

Every rectangle is also a parallelogram.

b)

Every parallelogram is also a rectangle.

c)

Every rectangle is also a rhombus.

d)

Every rhombus is also a rectangle.

68.

Each angle of a rhombus is the same measure. What is another name for the rhombus?

a)

hexagon

b)

rectangle

c)

square

d)

pentagon

69.

Which of the following statements is always true?

a)

Every rhombus is also a square.

b)

Every kite is also a trapezoid.

c)

Every rectangle is also a parallelogram

d)

Every parallelogram is also a rhombus.

70.

Which two names could be given to every rhombus?

a)

rectangle and square

b)

rectangle and parallelogram

c)

quadrilateral and square

d)

trapezoid and parallelogram

71.

Name that shape.

a)

quadrilateral, rectangle

b)

quadrilateral, rectangle, square

c)

quadrilateral, parallelogram, rectangle

d)

quadrilateral, parallelogram, rectangle, square

72.

What is a line segment in a polygon or a polyhedron?

a)

a face

b)

a net

c)

an edge

d)

a prism

73.

Any flat surface on a three dimensional figure is

a)

a side

b)

a flatness

c)

a face

d)

a vertex

74.

What is the name of this 3D solid?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Triangular Proton

d)

Square Base Triangle

75.

What is this shape?

a)

cone

b)

pyramid

c)

rectangular prism

d)

cube

76.

How many vertices does a cube have?

a)

2

b)

4

c)

6

d)

8

77.

What 3D solid does this net create?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Square Pyramid

d)

Square Prism

78.

This shape is a ...

a)

Cube

b)

Rectangular prism

c)

Square based pyramid

d)

Triangular based pyramid

79.

Name this 3D figure.

a)

rectangular prism

b)

hexagonal prism

c)

cylinder

d)

rectangular cylinder

80.

Name this 3D figure.

a)

rectangular pyramid

b)

triangular pyramid

c)

pentagonal pyramid

d)

hexagonal pyramid

81.

Name this 3D figure.

a)

circular pyramid

b)

cone

c)

cylinder

d)

pyramid

82.

Name this 3D figure.

a)

cone

b)

cylinder

c)

prism

d)

pyramid

83.

What is the circumference?

a)

48

b)

96

c)

24

d)

18

84.

Find the circumference of a circle with a diameter of 11 millimeters.

a)

34.6 mm

b)

30 mm

c)

25.3 mm

d)

34.54 cm

85.

When going from the ratio of perimeters to the ratio of areas, you...

a)

square it.

b)

cube it.

c)

square root it.

d)

cube root it.

86.

When going from the linear scale factor to the ratio of volumes, you...

a)

square it.

b)

cube it.

c)

square root it.

d)

cube root it.

87.

If the ratio of sides is 4:7, then the ratio of perimeters is...

a)

4:7

b)

8:14

c)

16:49

d)

64:343

88.

If the linear scale factor is 5:6, then the ratio of areas is...

a)

5:6

b)

10:12

c)

25:36

d)

125:216

89.

If the ratio of perimeters is 2:9, then the ratio of areas is...

a)

2:9

b)

4:81

c)

4:18

d)

8:729

90.

The surface area of the larger prism is 200 m². Find the surface area of the smaller prism. Type a number only.

(a)

91.

If the scale factor is 2:9, then the ratio of volumes is...

(Use a colon to separate your values)

(a)

92.

Two similar pyramids have heights of 4 inches and 7 inches. What is the ratio of the volume of the small pyramid to the volume of the large pyramid?

a)

4:7

b)

16:49

c)

64:343

d)

12:21

93.

Use the linear scale factor to find the volume of the larger prism. Type a number only.

(a)

94.

How many lines of symmetry does this shape have?

a)

0

b)

1

c)

2

d)

4

95.

Which shape does NOT have rotational symmetry?

a)

A

b)

B

c)

C

d)

D

96.

A rectangle has ...

a)

line symmetry

b)

rotational symmetry

c)

both line and rotaional symmetry

d)

neither line nor rotational symmetry

97.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

4

d)

6

98.

How many lines of symmetry does this shape have?

a)

2

b)

4

c)

6

d)

8

99.

Which of the following letters does not have a line symmetry, but has a rotational symmetry:

a)

H

b)

I

c)

Z

d)

X

100.

Half of the symmetric figure is given. Choose the other half of the given shape at the choices below.

a)

b)

c)

101.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

102.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

103.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

104.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

105.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

106.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

107.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

108.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

109.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

110.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

111.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

112.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

MATH 3110 Final Exam Review

Total questions: 112

Worksheet time: 6hrs 30mins

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