Free Printable G11 revision

1.

a)

410 cm³

b)

420 cm³

c)

402 cm³

d)

401 cm³

2.

The area of the base of this triangular prism can be found using which equation?

a)

B = 6x3

b)

B = 6x10

c)

B = 1/2 (6 x 3)

d)

B = 1/2 (6 x 10)

3.

Which equation can be used to find the volume of this figure?

a)

Vol = (8 x 7) (13)

b)

Vol = (8 x 13) ( 7)

c)

Vol = (1/2 x 8 x 13) (7)

d)

Vol = (1/2 x 8 x 7) (13)

4.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

a)

22 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

5.

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

a)

250

b)

200

c)

283

d)

180

6.

What SHAPE is the base? What is the AREA of the base (B)?

a)

Rectangle; 40 in²

b)

Triangle; 12 in²

c)

Rectangle; 32 in²

d)

Triangle; 6 in²

7.

What is the volume of this rectangular prism?

a)

15 cm³

b)

125 cm³

c)

62.5 cm³

d)

25 cm³

8.

Find the volume of the composite solid.
Use 3.14 for pi.

a)

188.4 m³

b)

753.6 m³

9.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

10.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

11.

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

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

12.

Select the 2D object that can be rotated to form the 3D object shown.

a)

b)

c)

d)

13.

Which 3D shape will be formed if the semi-circle is rotated around axis E?

a)

b)

c)

d)

14.

Select ALL of the 2D objects that when rotated will create the 3D object.

a)

b)

c)

d)

15.

The solids shown have the same height and the same Base area. Which has the larger volume?

a)

the Right cylinder (on the left)

b)

the Oblique cylinder (on the right)

c)

they have the same volume

d)

it cannot be determined without more information

16.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

17.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)²(32)

c)

V = π(9)²(32)

d)

V = π(4.5)(32)

18.

Calculate the composite surface area of the figure, to the nearest square centimeter. Use 3.14.

a)

4,227 cm²

b)

4,542 cm²

c)

4,605 cm²

d)

5,262 cm²

19.

What is the surface area of the composite solid?

a)

216 m²

b)

248 m²

c)

256 m²

d)

224 m²

20.

Find the volume of the figure.

a)

$444.39\ cm^3$

b)

$763.36\ cm^3$

c)

$292.53\ cm^3$

d)

$523.6\ cm^3$

21.

Landon used a semicircle, rectangle, and a right triangle to form the figure shown. Which is the best estimate of the are of the figure?

a)

52 cm²

b)

44 cm²

c)

26 cm²

d)

38 cm²

22.

If all 4 triangles are similar, what is the area of the figure above?

a)

288 in²

b)

208 in²

c)

352 in²

d)

144 in²

23.

Determine the area of the figure shown.

a)

778.5 m²

b)

389.3 m²

c)

417.6 m²

d)

835.2 m²

24.

Which equation would you use to find the volume of this composite figure?

a)

8³ + ⁴/₃π(8)³

b)

8³ + ⁴/₃π(4)³

c)

8³ + ²/₃π(4)³

d)

8³ + ²/₃π(8)³

25.

Which equation would you use to find the volume of this composite figure?

a)

π(2)²(8) + ⁴/₃π(2)³

b)

π(2)²(4) + ⁴/₃π(2)³

c)

π(2)²(4) + ²/₃π(2)³

d)

π(2)²(8) + ²/₃π(2)³

26.

Find the volume of the following shape.

(What two solids are being added together??)

a)

4155.27 m³

b)

1038.82 m³

c)

804.24 m³

d)

1005.31 m³

27.

What is the volume of this figure?

a)

18 cubic cm

b)

72 cubic cm

c)

576 cubic cm

d)

70 cubic cm

28.

Find AM.

a)

6

b)

26

c)

52

d)

-6

29.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

d)

5

30.

M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM.

a)

6

b)

4

c)

70

d)

40

31.

Solve for x

a)

x = 2

b)

x = 4

c)

x = 6

d)

x = 8

32.

ALGEBRA Find the value of x and KL if K is between J and L.

JK = 6x, KL = 3x, and JL = 27

a)

x = 3; KL = 9

b)

x = 9; KL = 3

c)

x = 9; KL = 27

d)

x = 2; KL = 6

33.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

a)

A

b)

B

c)

C

d)

D

34.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

a)

A

b)

B

c)

C

d)

D

35.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

a)

A

b)

B

c)

C

d)

D

36.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

a)

A

b)

B

c)

C

d)

D

37.

If D and E are Midpoints, then

\overline{DE}

is _______________.

a)

an angle bisector

b)

a perpendicular segment

c)

a median

d)

a midsegment

38.

If AC = 42, find DF.

a)

21

b)

84

c)

14

d)

28

39.

QR is a midsegment of ∆FGH. Solve for the value of x? Remember the formula... 2(midsegment) = opp. side

a)

5.5

b)

11

c)

-5.5

d)

-11

40.

$\overline{TS}$ is a midsegment of $\Delta GHI$ .
Solve for the value of x.

Remember the formula... 2(midsegment) = opp. side

a)

4

b)

6

c)

8

d)

10

41.

What is the value of y?

a)

3

b)

-3

c)

No Solution

d)

5

42.

Which term best describes line segment UX?

?

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

43.

∠IHJ is a right angle

Which term describes line segment JH??

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

44.

Which line segment is a median of △PQS??

a)

SQ

b)

PQ

c)

PR

d)

TQ

45.

Which term best describes line segment TV?

?

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

46.

Which line segment is an angle bisector?

a)

CA

b)

EB

c)

DE

d)

DB

47.

Which line segment is an altitude of △PRT?

a)

SU

b)

TQ

c)

TP

d)

ST

48.

Find the missing length indicated. Leave your answer in simplest radical form.

a)

60

b)

100

c)

80

d)

20

49.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

50.

a)

10

b)

12

c)

14

d)

16

51.

Find x.

a)

5

b)

-31

c)

25

d)

10

52.

What is the height of the Tree?

a)

20

b)

15

c)

30

d)

10

53.

in the opposite figure , the value of x = .......

a)

6

b)

8

c)

10

d)

12

54.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

55.

Solve for x.

a)

x = 2

b)

x = -1

c)

x = 1

d)

x = 5

56.

Solve for x.

a)

8

b)

6

c)

5

d)

-8

57.

Solve for x

a)

20.8

b)

63.7

c)

27.3

d)

21.4

58.

Solve for x

a)

16

b)

13.9

c)

15.3

d)

11

59.

Solve for x

a)

15

b)

5

c)

-5

d)

2.1

60.

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

a)

8√2

b)

4√2

c)

4

d)

8

61.

Find x - the length of the hypotenuse of the triangle.

a)

5

b)

5√2

c)

10

d)

5√3

62.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

63.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

64.

What are x and y in this 30-60-90 triangle?

a)

x = 6 y = 3√3

b)

x = 3√2 y = 3

c)

x = 3√3 y = 6

d)

x = 6 y = 3√2

65.

What are a and b in this 30-60-90 triangle?

a)

b=3.5√3 a = 7√3

b)

b = 7 a = 7√2

c)

b = 7 a = 14

d)

b = 7√3 a = 14√3

66.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

67.

How long is e?

a)

3

b)

6

c)

6√3

d)

6√2

68.

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

a)

4√2

b)

4

c)

8

d)

4√3

69.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

70.

Find the value of x.

a)

10

b)

5

c)

18

d)

9

71.

Solve for x.

a)

3.6

b)

9.2

c)

11.5

d)

14.3

72.

Find the value of x.

a)

31,3

b)

8

c)

16.3

d)

-8

73.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

74.

Given the following inscribed quadrilateral, what is the value of y?

a)

10

b)

20

c)

30

d)

40

75.

Find the measure of b.

a)

b=90

b)

b=57.7

c)

b=56

d)

b=115

76.

Find the measure of arc NM.

a)

60

b)

55

c)

65

d)

180

77.

Find the radius r

a)

2

b)

3

c)

4

d)

5

78.

Given circle O, if arcs WX and YZ are congruent, what is the measure of chord YZ?

a)

3.5

b)

3.85

c)

7

d)

14

79.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

80.

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)

a)

(4, 3.5)

b)

(3.5, 5)

c)

(3.5, 4.5)

d)

(5, 3.5)

81.

Solve for x.

a)

5

b)

20

c)

40

d)

85

82.

Find the length of the arc.

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

83.

What is the arc length of minor arc AB?

a)

5.23

b)

103

c)

33.33

d)

50

84.

Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

85.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

86.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

87.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

88.

a)

15

b)

16

c)

18

d)

19

89.

The supplement of an angle is 65 °. What is the measure of the angle?

a)

25°

b)

15°

c)

115°

d)

35°

90.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

91.

If angle 6 is 25 degrees, how many degrees is angle 7?

a)

25 degrees

b)

50 degrees

c)

90 degrees

d)

155 degrees

92.

If angle P measures 60 degrees, what is the measure of angle C?

a)

60^o

b)

30^o

c)

120^o

d)

180^o

93.

Angle 2 and 5 are corresponding angles, m<2=60 degrees, and m<5=(x+25). Find the value of x.

a)

x=120

b)

x=60

c)

x=45

d)

x=35

94.

Find m∠D.

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

95.

Find m ∠C.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

96.

Angle 4 = x + 15

Angle 2 = 3x - 5

What is the value of x?

a)

5

b)

10

c)

25

d)

x + 15

97.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

98.

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

99.

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)

25.2 in²

b)

28.5 in²

c)

31.4 in²

d)

38.2 in²

100.

What is the area of the shaded sector?

a)

69.78 ft²

b)

2791.11 ft²

c)

558.22 ft²

d)

697.78 ft²

101.

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

102.

What is the area of the green shaded segment?

a)

16π - 64

b)

8π - 32

c)

8π - 64

d)

16π - 32

103.

Area of the square that can be inscribed in circle of radius 8 cm

a)

256 sq.cm

b)

128 sq.cm

c)

64 sq.cm

d)

132 sq.cm

104.

The perimeter of square circumscribing circle of radius 'a' cm is

a)

8a cm

b)

6a cm

c)

10a cm

d)

16a cm

105.

What is the area of the shaded region?

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

106.

Find x. Assume that segments that appear to be tangent are tangent.

a)

2

b)

11

c)

7.6

d)

9

107.

Solve for x.

a)

45.5

b)

90.5

c)

90

d)

23

108.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

109.

Solve for x.

a)

14

b)

10

c)

11

d)

2

110.

Use chords to solve for x

a)

x = 3 cm

b)

x = 4 cm

c)

x = 5 cm

d)

x = 6 cm

111.

a)

A

b)

B

c)

C

d)

D

112.

a)

A

b)

B

c)

C

d)

D

113.

Determine the measure of Arc BA.

a)

A

b)

B

c)

C

d)

D

114.

Find the measure of <F

a)

46

b)

5

c)

90

d)

1.8

115.

Find the measure of <B

a)

4

b)

20

c)

10

d)

47

116.

a)

A

b)

B

c)

C

d)

D

117.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

118.

Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to thenearest tenth of a square unit.

a)

0.3 square units

b)

15.7 square units

c)

19.7 square units

d)

50.3 square units

119.

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

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

120.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

121.

find the measure of y

a)

30

b)

60

c)

90

d)

180

122.

Find the perimeter of the triangle.

a)

A

b)

B

c)

C

d)

D

123.

What is the value of DC? (to the nearest hundredth)

a)

9.43

b)

4.43

c)

√89

d)

9

124.

Determine whether segment MP is tangent to the circle.

a)

YES

b)

NO

125.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

126.

Assume that all the lines that appear tangent are tangent. Find the perimeter

a)

54

b)

36

c)

48

d)

42

127.

If AB=8, AE=19, and CE=17, what is the measure of segment BC?

a)

6 units

b)

8 units

c)

8.5 units

d)

11 units

128.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

11.7

b)

10.8

c)

13.0

d)

14.2

129.

x=?

a)

3

b)

5

c)

4

d)

6

130.

Find the value of x.

a)

12

b)

16

c)

9

d)

6

131.

What if the value of x?

a)

16

b)

12

c)

4

d)

64

132.

Find the value of y.

a)

4

b)

4.90

c)

8.49

d)

12

133.

What is the area of the shaded region?

a)

$625\ ft^2$

b)

$156.25\Pi\ ft^2$

c)

$625\ -\ 156.25\Pi\ \ ft^2$

d)

$469\Pi\ ft^2$

134.

Find the area of the shaded reagion.

a)

$42.25\Pi-30\ in^2$

b)

$12.25\Pi\ in^2$

c)

$42.25\Pi\ -\ 60\ \ in^2$

135.

The Cruz family is buying a custom-made cover for their swimming pool, shown above. The cover costs $2.95 per square foot. How much will the cover cost? Round to the nearest cent.

a)

$422.10

b)

$551.63

c)

$1,627.29

d)

$1,106.25

136.

11. A company’s logo is formed by drawing a circle and then replacing the two opposite quarter circles with squares as shown.
What is the approximate area of the logo?

a)

46 cm²

b)

32 cm²

c)

71 cm²

d)

85 cm²

137.

Solve.

a)

78.5 cm²

b)

100 cm²

c)

21.5 cm²

d)

121.5 cm²

138.

Find the probability that a randomly chosen point in the figure lies in the shaded region.

a)

52.3%

b)

51.4%

c)

47.6%

d)

45.7%

139.

Mr. Hubbs bought a new home and wanted to place new grass on his lawn around his house. What is the area of the shaded area shown, his lawn?

a)

13,600 ft²

b)

18,400 ft²

c)

16,000 ft²

d)

2,400 ft²

140.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

141.

What is the area of the composite figure?

a)

40 sq cm

b)

65 sq cm

c)

52.5 sq cm

d)

25 sq cm

142.

What is the area of the shaded region?

a)

19.8 cm²

b)

25.16 cm²

c)

32.6 cm²

d)

14.96 cm²

143.

What is the approximate area of the shaded region?

a)

70 cm²

b)

12 cm²

c)

82 cm²

d)

58 cm²

144.

a)

50 square inches

b)

500 square inches

c)

35 square inches

d)

25 square inches

145.

Write the equation of the circle

a)

$\left(x+1\right)^2+\left(y-5\right)^2=4$

b)

$\left(x-1\right)^2+\left(y-5\right)^2=4$

c)

$\left(x-5\right)^2+\left(y-1\right)^2=4$

d)

$\left(x-1\right)^2+\left(y+5\right)^2=4$

146.

Write the equation of the circle

a)

$\left(x-7\right)^2+\left(y-3\right)^2=9$

b)

$\left(x-3\right)^2+\left(y+7\right)^2=9$

c)

$\left(x+7\right)^2+\left(y+3\right)^2=9$

d)

$\left(x+3\right)^2+\left(y+7\right)^2=9$

147.

Write the equation of the circle.

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

148.

Which graph corresponds to
(x)²+ (y-6)²=9

a)

A

b)

B

c)

C

d)

D

149.

What is the area of the shape?

a)

27 sq. units

b)

54 sq. units

c)

108 sq. units

d)

63 sq. units

150.

What is the area of this shape?

a)

99 sq. units

b)

45 sq. units

c)

144 sq. units

d)

72 sq. units

G11 revision

Total questions: 150

Worksheet time: 10hrs 13mins

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