Free Printable Geometry Final Exam Review

1.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

2.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

3.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

4.

Find cosC

a)

16/34

b)

16/30

c)

30/34

d)

34/16

5.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

6.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

7.

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

8.

Find the trig value rounded to the nearest ten-thousandth.
Tan(42°)

a)

.9004

b)

.8123

c)

88.6361

d)

42

9.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

10.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

11.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

12.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

13.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

14.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

15.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

16.

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

a)

12.4 ft

b)

11.3 ft

c)

22.3 ft

d)

49.1 ft

17.

Find the height of the tree. Assume the angle looking up to the tree is 38^o.

a)

12.5 ft

b)

11.9 ft

c)

6.88 ft

d)

17.5 ft

18.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

19.

A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides.

a)

trapezoid

b)

rhombus

c)

parallelogram

d)

rectangle

20.

What do all of the angles of a quadrilateral have to add up to?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

21.

Which of the following properties is true about parallelograms?

a)

Base angles are congruent.

b)

Diagonals are congruent.

c)

Opposite sides are parallel.

22.

The diagonals of a parallelogram

a)

are always congruent

b)

bisect each other

c)

are never congruent

d)

parallel

23.

A rhombus is a parallelogram with

a)

four congruent sides

b)

four congruent diagonals

c)

four acute angles

d)

four congruent angles

24.

All rectangles are squares.

a)

True

b)

False

25.

A trapezoid is a paralellogram.

a)

True

b)

False

26.

All squares are rhombuses.

a)

True

b)

False

27.

The diagonals of a ________ are congruent

a)

Parallelogram

b)

Rectangle and square

c)

Rhombus and square

d)

Trapezoid

28.

ABCD is a rhombus
What is the measurement of angle AED?

a)

60

b)

45

c)

90

d)

180

29.

What are the properties of a parallelogram?

a)

Opposite sides are parallel

b)

Diagonals are congruent

c)

Diagonals bisect each other

d)

All sides are congruent

e)

Consecutive angles are supplementary

30.

What are the properties of a rectangle?

a)

Four right angles

b)

Opposite sides are parallel

c)

Opposite sides are congruent

d)

Diagonals bisect each other

e)

Diagonals are congruent

31.

Which quadrilateral(s) have diagonals that bisect each other?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

32.

Which quadrilateral(s) have four congruent sides?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

33.

Which quadrilateral(s) have perpendicular diagonals?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

34.

a)

135

b)

55

c)

180

d)

360

35.

Find Length of

\overline{AC}

a)

16

b)

8

c)

20

d)

40

36.

a)

102 Degrees

b)

10 degrees

c)

130 degrees

d)

34degrees

37.

a)

70 degrees

b)

180 degrees

c)

110 degrees

d)

20 degrees

38.

a)

10 degrees

b)

41 degrees

c)

180 degrees

d)

360 degrees

39.

a)

10

b)

50

c)

75

d)

180

40.

a)

20

b)

16

c)

8

d)

4

41.

Find the area

a)

150m²

b)

120m²

c)

126m²

d)

200m²

42.

What is the Area of this shape?

a)

56

b)

50

c)

78

d)

I have no idea how to do this. I need to come to tutoring.

43.

Find the area.

a)

27.3 mi²

b)

54 mi²

c)

27 mi²

d)

54.6 mi²

44.

Find the area of the Pentagon. Round to the nearest tenth!

a)

$55.6\ cm^2$

b)

$110.1\ cm^2$

c)

$40\ cm^2$

d)

$137.8\ cm^2$

45.

What is the area of a regular octagon having an apothem of 13.3 meters and a side length of 11 meters?

a)

585.2 m²

b)

1170.4 m²

c)

292.6 m²

d)

2340.8 m²

46.

What is the area?

a)

24 cm²

b)

48 cm²

c)

120 cm²

d)

240 cm²

47.

Which is the apothem?

a)

AD

b)

AB

c)

CD

d)

CB

48.

Find the area of the regular polygon.

a)

122 ft²

b)

27.7 ft²

c)

124.7 ft²

d)

363.2 ft²

49.

Find the area

a)

96 cm²

b)

48 cm²

c)

36 cm²

d)

48 cm

50.

Identify a radius.

a)

RS

b)

ST

c)

WL

d)

RT

51.

If RY = 10 in, find XR and RB.

a)

XR = 20 in, RB = 10 in

b)

XR = 10 in, RB = 10 in

c)

XR = 5 in, RB = 10 in

d)

XR = 10 in, RB = 25 in

52.

If the C = 40π cm, find the radius.

a)

20 cm

b)

40 cm

c)

80 cm

d)

20π cm

53.

If the diameter of a circle is 15 in, find the circumference.

a)

30 cm

b)

30π cm

c)

15π cm

d)

15 cm

54.

The diameter of circle L is 20 units and the diameter of circle M is 13 units and QR = 4. Find LQ.

a)

16 units

b)

6 units

c)

14 units

d)

9 units

55.

Find the exact circumference.

a)

58 mi

b)

29π mi

c)

42π mi

d)

58π mi

56.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

57.

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)

Radius = 5 units

b)

Center (4,3)

Radius = 25 units

c)

Center (-4,-3)

Radius = 25 units

d)

Center (-4,-3)

Radius = 5 units

58.

Which equation would you use to solve for x?

a)

$9x\ =\ 21\cdot27$

b)

$27x=9\cdot21$

c)

$21x=9\cdot27$

d)

$x+27\ =\ 9+21$

59.

Which equation would you use to solve for x?

a)

$18\left(7x+2\right)=20\left(6x+3\right)$

b)

$18\left(6x+3\right)=20\left(7x+2\right)$

c)

$18\cdot20=\left(7x+2\right)\left(6x+3\right)$

d)

$7x+2+18=6x+3+20$

60.

Which equation would you use to solve for x?

a)

$8\left(8+3x+4\right)=7\left(7+5x+2\right)$

b)

$8\left(3x+4\right)=7\left(5x+2\right)$

c)

$8\cdot7=\left(5x+2\right)\left(3x+4\right)$

d)

$8+3x+4=7+5x+2$

61.

Which equation would you use to solve for x?

a)

$18x=24$

b)

$18x^2=24$

c)

$24^2=18x$

d)

$24^2=18\left(18+x\right)$

62.

Which equation would you use to solve for x?

a)

$x^2=27\cdot21$

b)

$x^2=27\left(27+21\right)$

c)

$27^2=21x$

d)

$27^2=21\left(21+x\right)$

63.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the exact area of the rest of Pacman's body?

a)

(464/9)π mm²

b)

(112/9)π mm²

c)

(116/9)π mm²

d)

(28/9)π mm²

64.

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

a)

1.26

b)

452.39

c)

9.42

d)

113.10

65.

Find the length of the bold arc.

a)

5.95 yd

b)

18.7 yd

c)

11.9 yd

d)

37.4 yd

66.

The radius of a circle is 3 centimeters. What is the length of a 45 degree arc?

a)

2/3 $\pi$

b)

1/2 $\pi$

c)

3/4 $\pi$

d)

5/6 $\pi$

67.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

68.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

69.

Find the measure of arc NL

a)

21°

b)

42°

c)

45°

d)

84°

70.

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

a)

36

b)

35

c)

30

d)

41

71.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

72.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

73.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

74.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

75.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

76.

A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a surface area of 650 cm². What is the height of the brick?

a)

20 cm

b)

43 cm

c)

14 cm

d)

10 cm

77.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

282.7 in²

b)

56.5 in²

c)

188.5 in²

d)

245.0 in²

78.

Given a cylinder with a surface area of 2543 cm²and radius of 9 cm, calculate the height of this cylinder to the nearest tenth.

a)

36.0 cm

b)

45.0 cm

c)

10 cm

d)

282.6 cm

79.

Calculate the surface area of the pyramid.

a)

228 m²

b)

144 m²

c)

300 m²

d)

156 m²

80.

Calculate the surface area.

a)

904.78 mm²

b)

452.39 mm²

c)

3,216.99 mm²

d)

3,392.92 mm²

81.

Calculate the surface area.

a)

56.5 in²

b)

91.5 in²

c)

169.56 in²

d)

28.3 in²

82.

Which measurement is closest to the difference between the surface areas of the these two bins? Round to the nearest square foot.

a)

1,257 ft²

b)

4,400 ft²

c)

11,717 ft²

d)

3,143 ft²

83.

What is the volume of this triangular prism?

a)

576 cm³

b)

288 cm³

c)

333 cm³

d)

28 cm³

84.

_{^{Find the Volume}}

a)

428.4 cm³

b)

412.8 cm³

c)

404.2 cm³

d)

400 cm³

85.

Find the volume of the prism.

a)

27 cm³

b)

72 cm³

c)

180 cm³

d)

360 cm³

86.

Calculate the height of a rectangular prism with a length of 5 cm, a width of 3 cm, and a volume of 30 cm³.

a)

2 cm

b)

450 cm²

c)

15 cm

d)

3 cm

87.

Find the volume of the composite figure.

a)

$616\ ft^3$

b)

$224\ ft^3$

c)

$210\ ft^3$

d)

$630\ ft^3$

88.

Find the volume of the Cone.

a)

$30,520.8\ km^3$

b)

$122,083.2\ km^3$

89.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

90.

Find the Volume of the Sphere

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

91.

If a tennis ball has a diameter of 2.5 in, What is the volume of the tennis ball? Use 3.14 for pi.

a)

5.8 in³

b)

3.62 in³

c)

8.18 in³

d)

25.1 in³

92.

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

93.

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

94.

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

95.

If the ratio of volumes is 64:2197, then the ratio of areas is...

a)

8:13

b)

16:169

c)

64:2197

96.

If two figures are similar, their surface area ratio is ...?

a)

the same

b)

squared

c)

cubed

d)

twice as much

97.

If two figures are similar, their volume ratio is ...?

a)

the same

b)

squared

c)

cubed

d)

three times as much

98.

What will the surface area of the smaller cone be?

Enter a number only.

(a)

99.

What would be the appropriate volume for the larger pyramid?

a)

8 yd³

b)

2 yd³

c)

4 yd³

d)

16 yd³

100.

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

Geometry Final Exam Review

Total questions: 100

Worksheet time: 6hrs 33mins

Similar Resources on Wayground