Free Printable GEO - END OF SEMESTER 21-22

1.

In the following image what does A represent?

a)

Face

b)

Vertex

c)

Edge

2.

In the following image what does C represent?

a)

Face

b)

Vertex

c)

Edge

3.

In the following image what does "This is called" represent?

a)

Face

b)

Vertex

c)

Edge

4.

Which of these solid figures has 4 more edges than faces?

a)

Figure A

b)

Figure B

c)

Figure C

d)

Figure D

5.

Which of the figures below has the fewest vertices?

a)

Cylinder

b)

Cone

c)

Triangular pyramid

d)

Triangular prism

6.

A sculpture by a famous artist sits on this octagonal prism.
How many edges does an octagonal prism have?

a)

8

b)

10

c)

16

d)

24

7.

Which figure has the same number of vertices and faces?

a)

Figure F

b)

Figure G

c)

Figure H

d)

Figure J

8.

What is the total number of faces in Figure 1 and Figure 2?

a)

14

b)

13

c)

12

d)

11

9.

What 3D solid does this net create?

a)

Rectangular Prism

b)

Rectangular Pyramid

c)

Cube

d)

Square Prism

10.

Which solid figure has 5 faces, 8 edges, and 5 vertices?

a)

Cube

b)

Square pyramid

c)

Triangular prism

d)

Triangular pyramid

11.

What 3D solid does this net create?

a)

Cone

b)

Cylinder

c)

Triangular Pyramid

d)

Cube

12.

I am a 3D shape and all my faces are triangles

a)

Square Pyramid

b)

Triangular Pyramid

c)

Triangular Prism

d)

Triangular Sphere

13.

Classify the 3D solid from its net.

a)

triangular prism

b)

triangular pyramid

c)

ninja star

d)

triangular net

14.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

15.

Multiply:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

16.

Multiply: (r + 7)(r − 7)

a)

r ²− 49

b)

r ²+ 14

c)

r ² − 7r + 49

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

Simplify:
(x - 9)(x - 7)

a)

x² - 2x - 63

b)

x² - 16x - 63

c)

x² - 2x + 63

d)

x² - 16x + 63

23.

Which set of binomials matches the following trinomial? *Multiply each binomial to see which one matches
x² + 5x + 4

a)

(x + 1)(x + 5)

b)

(x + 1) (x - 4)

c)

(x + 1) (x + 4)

24.

Which set of binomials matches the trinomial
2x² - 7x - 4

a)

(x + 4)(2x + 1)

b)

(2x + 1)(x - 4)

c)

(x + 4)(x + 7)

d)

(2x - 1)(x - 5)

25.

Factor Completely:
x² - 36

a)

(x + 9)(x - 4)

b)

(x - 6)(x - 6)

c)

(x - 9)(x + 4)

d)

(x + 6)(x - 6)

26.

What do you call a polynomial that cannot be factored?

a)

FOIL

b)

Simplified

c)

Prime

d)

Proper

27.

Factor:
x² - 49

a)

(x + 7)(x - 7)

b)

(x + 7)²

c)

(x - 7)²

d)

(x+7)(x-1)

28.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

29.

Factor the following
12x³y⁴z²+14x⁴yz-6x⁵y⁴z²

a)

2x³yz(6xy³z+7x-3x²y³z)

b)

6x³yz(2y³z+2x-1x²y³z)

c)

2x²y²z(6y³z+7x-3x²y³z)

d)

2xyz(6x²y³z+7xyz-3x²y³z)

30.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

31.

Which of the following binomials is not a difference of squares?

a)

x² - 64

b)

x² - 16

c)

x²+ 400

d)

x² - 100

32.

Which of the following is a correct rewriting or form of the binomial, x² - 169 ?

a)

(x + 13) (x - 13)

b)

(x + 13)²

c)

(x - 14) (x - 13)

d)

All of the above

33.

Factor x³ - 4x.

a)

(x-4)(x²-4)

b)

x(x-2)(x+2)

c)

x(x-4)

d)

(x-2)(x+2)

34.

4x²- 64y²

a)

Prime

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

35.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

36.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

37.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

38.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

39.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

40.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

41.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

42.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

43.

Rotation or Reflection

a)

Rotation

b)

Reflection

c)

translation

44.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

45.

Identify the transformation from C to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

46.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

47.

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

a)

90

b)

140

c)

220

d)

360

48.

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

a)

90

b)

309

c)

129

d)

39

49.

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

a)

160

b)

20

c)

70

d)

90

50.

In each circle, what is the value of x to the nearest tenth?

a)

4.25

b)

14.10

c)

3.75

d)

6.25

51.

What is the value of x to the nearest tenth?

a)

10.7

b)

114.5

c)

64.2

d)

5.35

52.

What is the value of x to the nearest tenth?

a)

5

b)

25

c)

5.5

d)

4.5

53.

Determine whether a tangent line is shown in the diagram. (Hint: Use the Pythagorean Theorem)

a)

Yes

b)

No

54.

Determine whether a tangent line is shown in each diagram. (Use the Pythagorean Theorem)

a)

Yes

b)

No

55.

The polygon circumscribes a circle. What is the perimeter of the polygon?

a)

140

b)

45

c)

70

d)

190

56.

The polygon circumscribes a circle. What is the perimeter of the polygon?

a)

82

b)

32

c)

21

d)

42

57.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

58.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

59.

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

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

60.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

61.

Rob is trying to open a can. He wants to find the arc length the can opener needs to travel to open the can half way. The radius of the can is 1.5 inches.

a)

10 inches

b)

2 feet

c)

4.71 inches

d)

3.53 inches

62.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

63.

What is the circumference?

a)

48

b)

96

c)

24

d)

18

64.

Stephanie was jogging around circular track. One part of the track was darker than the rest. She found the angle to be 270 degrees. She found the diameter was thirty feet. What is the arc length around the darker part of the track she jogged on? (rounded to the nearest whole number)

a)

71 feet

b)

59 feet

c)

84 feet

d)

63 feet

65.

a)

60^o

b)

157^o

c)

50^o

d)

493^o

66.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

67.

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

68.

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

69.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

70.

Find the length of the minor arc.

a)

$\frac{19}{9}\pi$ cm

b)

$\frac{38}{9}\pi$ cm

c)

$\frac{576}{19}\pi$ cm

d)

$\frac{31}{36}\pi$ cm

71.

Find the length of the minor arc.

a)

$9\pi$ in.

b)

$\frac{9}{2}\pi$ in.

c)

$\frac{1}{8}\pi$ in.

d)

$64\pi$ in.

72.

Find the length of arc MPN.

a)

$\frac{21}{4}\pi$ in.

b)

$\frac{21}{8}\pi$ in

c)

$\frac{35}{8}\pi$ in

d)

$\frac{35}{4}\pi\$ in

73.

Find the length of arc WY.

a)

$\frac{25}{6}\pi$ m

b)

$\frac{25}{3}\pi$ m

c)

$\frac{65}{6}\pi$ m

d)

$\frac{65}{3}\pi$ m

74.

Find the radius of Circle R.

a)

$4$

b)

$\frac{45}{2}$

c)

$45\pi$

d)

$7$

75.

Find the circumference of circle R.

a)

$108\pi$

b)

$1200\pi$

c)

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

d)

$30\pi$

76.

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

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

77.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

78.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

79.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

80.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

81.

Find the area of each sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

82.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

83.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

84.

If the length of the 45° region of this circle is 10 inches, what is the radius of the circle?

a)

1.6in

b)

3in

c)

6.8in

d)

2.5in

85.

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?

a)

13π/8 cm

b)

52π/9 cm

c)

π/9 cm

d)

9π/52

86.

Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.

a)

240 cm²

b)

80 cm²

c)

120 cm²

d)

180 cm²

87.

What is the area of sector GPH?

a)

9π yd²

b)

32π yd²

c)

18π yd²

d)

6π yd²

88.

Find the area of the shaded sector of the circle.

a)

b)

c)

d)

89.

In a circle, a 90° sector has area 64π in². What is the radius of the circle?

a)

16 in

b)

32 in

c)

64 in

d)

128 in

90.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

91.

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.

92.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

93.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

113.10

d)

40715.04

94.

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

95.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

GEO - END OF SEMESTER 21-22

Total questions: 95

Worksheet time: 9hrs 23mins

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