Free Printable Geo Spring Final Review

1.

What is the sine of angle C?

a)

7/24

b)

7/25

c)

24/25

d)

25/24

2.

What is the cosine of θ?

a)

15/8

b)

15/17

c)

17/15

d)

8/15

3.

What is the tangent of angle C?

a)

7/25

b)

25/7

c)

7/24

d)

24/7

4.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

5.

Solve for x.

a)

34.9

b)

40.8

c)

18.0

d)

10.8

6.

Solve for x.

a)

21.2

b)

81.7

c)

5.9

d)

5.7

7.

Solve for x. Round to the nearest tenth.

a)

74.9

b)

3.6

c)

63.5

d)

54.1

8.

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

9.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

10.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

11.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

12.

A bird watcher spots an eagle in a tree at an angle of elevation of 57 degrees and is 50 feet from the base of the tree. How high off of the ground is the eagle?

a)

77 feet

b)

32 feet

c)

42 feet

d)

27 feet

13.

Max is 6 feet tall and casts a shadow 15 feet long onto the ground. What is the angle of elevation from the end of the shadow to the top of Max's head?

a)

21.8 degrees

b)

68.2 degrees

c)

66.4 degrees

d)

23.6 degrees

14.

If ABCD is a parallelogram, what is the length of BD?

a)

10

b)

11

c)

6

d)

5

15.

The figure is a parallelogram.

Solve for x.

a)

x = 1

b)

x = 11

c)

x = 7

d)

x = 6

16.

The figure is a parallelogram.

Solve for x.

a)

x = 7

b)

x = 2

c)

x = 6

d)

x = 4

17.

The figure is a parallelogram.

Solve for x.

a)

x = 4

b)

x = 10

c)

x = 20

d)

x = 5

18.

The figure is a parallelogram.
What is the measure of $\angle B$ ?

a)

$\angle B=1\degree$

b)

$\angle B=87\degree$

c)

$\angle B=86\degree$

d)

$\angle B=-1\degree$

19.

The figure is a parallelogram.

Solve for x.

a)

x = 0

b)

x = 6

c)

x = 5

d)

x = 9

20.

What is the rule for a 45-45-90 triangle?

a)

$x,\ x,\ x\sqrt{2}$

b)

$x,\ x\sqrt{3},\ 2x$

21.

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

a)

5

b)

5√2

c)

10

d)

5√3

22.

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

a)

4√2

b)

4

c)

8

d)

4√3

23.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

24.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

25.

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

26.

$x^2+\left(y-3\right)^2=9$ Give the Center

a)

(0,0)

b)

(0,-3)

c)

(3,0)

d)

(0,3)

27.

$\left(x+7\right)^2+\left(y-8\right)^2=25$ What is the radius?

a)

5

b)

10

c)

25

d)

50

28.

Write the equation of the circle with center at (-2,4) and a radius of 6

a)

$\left(x-2\right)^2+\left(y-4\right)^2=36$

b)

$\left(x+2\right)^2+\left(y+4\right)^2=36$

c)

$\left(x+2\right)^2+\left(y-4\right)^2=36$

d)

$\left(x-2\right)^2+\left(y-4\right)^2=6$

29.

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)

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

30.

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)

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

31.

Find the value of y.

a)

65

b)

110

c)

75

d)

None of these.

32.

Solve for Angle 1 and Angle 2.

a)

1= 92, 2 = 46 degrees

b)

1 = 118, 2 = 118 degrees

c)

1 = 92, 2 = 92

d)

1 = 136, 2 = 100

33.

Solve for the value of x.

(a)

34.

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

(a)

35.

Find the perimeter of the triangle.

a)

A

b)

B

c)

C

d)

D

36.

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

a)

10

b)

20

c)

30

d)

40

37.

$\angle J=$

a)

$88\degree$

b)

$45\degree$

c)

$135\degree$

d)

$108\degree$

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

41.

a)

A

b)

B

c)

C

d)

D

42.

a)

A

b)

B

c)

C

d)

D

43.

Find the measure of the missing arc (?).

a)

98^o

b)

140^o

c)

85^o

d)

94^o

44.

Solve for x.

a)

5

b)

20

c)

40

d)

85

45.

Find the area of the compound figure.

a)

150 m²

b)

120 m²

c)

126 m²

d)

200 m²

46.

The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for ∏ .

a)

284.52 ft2

b)

228 ft2

c)

317 ft2

d)

116.71 ft2

47.

Find the area of the shape

a)

16.56 sq in

b)

7.14 sq in

c)

10.28 sq in

48.

What is the area of the figure?

a)

50 squared cm

b)

25 squared cm

c)

40 squared cm

d)

35 squared cm

49.

A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter.

a)

216 cm³

b)

25 cm³

c)

100 cm³

d)

191 cm³

50.

Find the volume of the cylinder.

a)

4239

b)

1696

c)

1130

d)

565

51.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

52.

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

a)

216 yd³

b)

108 yd³

c)

72 yd³

d)

36 yd³

53.

What is the area of a rectangle with side lengths 3 inches by 5 inches?

a)

15 square inches

b)

16 inches

c)

15 square feet

d)

22 inches

54.

Area or triangle?

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

55.

Find the area.

a)

60 in

b)

60 in²

c)

50 in

d)

50 in²

56.

Find the area

a)

41

b)

45

c)

44

d)

43

57.

Find the area of the trapezoid.

a)

18 m²

b)

165 m²

c)

84 m²

d)

22.5 m²

58.

a)

132 ft²

b)

146 ft²

c)

144 ft²

d)

87 ft²

59.

a)

60

b)

132

c)

156

d)

72

60.

What is the area of the shaded region?

a)

208

b)

225

c)

206

d)

100

Geo Spring Final Review

Total questions: 60

Worksheet time: 3hrs 5mins

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