Free Printable Chapter 9 Quiz 1 Review

1.

How many radians does a circle have? (a)

Choose from the below words

360 degrees

2pi radians

pi radians

2 radians

2.

Convert π radians to degrees. (a)

Choose from the below words

90⁰

180⁰

360⁰

60⁰

3.

Convert 150⁰ to radians (a)

Choose from the below words

5π/6

3π/4

7π/6

2π/3

4.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

5.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

6.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

7.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

8.

Convert the following to radians:
720⁰

a)

3π

b)

4π

c)

5π

9.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

10.

What are the negative and positive coterminal angles of -225 degrees?

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

11.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

12.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

13.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

14.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

15.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

16.

What is 240 degrees in radians?

a)

π/3

b)

4π/3

c)

5π/3

d)

2π/3

17.

$\frac{8\pi}{3}$ is equivalent to what degree measure?

a)

$480\degree$

b)

$240\degree$

c)

$800\degree$

d)

$24\degree$

18.

What is $225\degree$ in radians?

a)

$\frac{7\pi}{4}$

b)

$\frac{5\pi}{4}$

c)

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

d)

$\frac{5\pi}{3}$

19.

What is $270\degree$ in radians?

a)

$\frac{\pi}{4}$

b)

$\frac{3\pi}{2}$

c)

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

d)

$\frac{\pi}{2}$

20.

3π/4 radians in degrees.

a)

135⁰

b)

45⁰

c)

225⁰

d)

270⁰

21.

What is $\frac{2\pi}{3}$ radians in degrees?

a)

$150\degree$

b)

$120\degree$

c)

$180\degree$

d)

$30\degree$

22.

Convert 510^o to Radians

a)

25π / 3

b)

23π / 8

c)

17π / 6

d)

51π / 8

23.

Find the measure of the red angle.

a)

$-330\degree$

b)

$-150\degree$

c)

$-160\degree$

d)

$-120\degree$

24.

Find the measure of the red angle.

a)

$325\degree$

b)

$55\degree$

c)

$145\degree$

d)

$305\degree$

25.

Select the correct sketch of the angle in standard position: $\frac{7\pi}{4}$

a)

b)

c)

d)

26.

Match the following

a)

1.

90 Degrees

b)

2.

-270 Degrees

c)

3.

250 Degrees

d)

4.

-110 Degrees

e)

5.

270 Degrees

27.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

28.

What are the negative and positive coterminal angles of -165°?

a)

435°, -545°

b)

185°, -305°

c)

195°, -525°

d)

125°, -185°

29.

Which is a coterminal angle to the angle shown?

a)

613

b)

73

c)

-117

d)

17

30.

Which of the following is closest to the measure of the angle shown?

a)

30º

b)

40º

c)

395º

d)

440º

31.

Which quadrant does 300° lie?

a)

I

b)

II

c)

III

d)

IV

32.

Which quadrant does 40° lie?

a)

I

b)

II

c)

III

d)

IV

33.

Which quadrant does -229° lie?

a)

I

b)

II

c)

III

d)

IV

34.

Which quadrant does -30° lie?

a)

I

b)

II

c)

III

d)

IV

35.

Which of the following degree measures is represented by this diagram?

a)

$135\degree$

b)

$85\degree$

c)

$210\degree$

d)

$-220\degree$

36.

Which of the following degree measures is represented by this diagram?

a)

$-220\degree$

b)

$385\degree$

c)

$-210\degree$

d)

$-480\degree$

37.

Which of the following shows $-210\degree$ graphed in standard position?

a)

b)

c)

d)

38.

Which of the following shows $480\degree$ graphed in standard position?

a)

b)

c)

d)

39.

Which of the following shows $300\degree$ graphed in standard position?

a)

b)

c)

d)

40.

Which of the following shows $150\degree$ in standard positon?

a)

b)

c)

d)

41.

Match the following angles to their standard position.

a)

1.

−340°

b)

2.

150°

c)

3.

−185°

d)

4.

300°

e)

5.

−260°

42.

Are 85° and -275° coterminal?

(a)

43.

Are 500° and 140° coterminal?

(a)

44.

Are 100° and -440° coterminal?

(a)

45.

Find a coterminal angle for 975° between 0° and 360°.

(a)

46.

Find a coterminal angle for -215° between 0° and 360°.

(a)

47.

Find a coterminal angle for 895° between 0° and 360°.

(a)

48.

Find a coterminal angle for -334° between 0° and 360°.

(a)

49.

Find the length of side AB. m<C = 53 degrees. m<B = 44 degrees. AC = 7.

a)

8.0

b)

8.8

c)

9.2

d)

10.3

50.

What is the measure of angle A? BC = 37 cm, AB = 29 cm and m<C = 50 degrees.

a)

70.7 degrees

b)

74.5 degrees

c)

77.8 degrees

d)

80.2 degrees

51.

What is the length of side x? x is opposite a 28 degree angle. 14 cm is the side length given.

a)

6.57 cm

b)

7.05 cm

c)

7.44 cm

d)

8.33 cm

52.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

53.

What is the length of side x?

a)

130 cm

b)

112 cm

c)

150 cm

d)

105 cm

54.

Solve the Triangle B= 85°, C= 47°, and a=19 Find A, b, and c

Answer: A = (a)

b = (b)

c = (c)

Choose from the below words

$48\degree$

$25.5$

$18.7$

$39\degree$

$90\degree$

$14$

$23.6$

$23.4$

$90\degree$

$32\degree$

55.

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 55 degrees, and from Jamie to the bird is 63 degrees. How far away, to 2 decimal places, is the bird from Amanda?

a)

25.23 ft

b)

23.19 ft

c)

22.15 ft

d)

20.85 ft

56.

Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle. To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings. How far apart, to three decimal places, should the footings for each A-frame be?

a)

5.461 feet

b)

9.743 feet

c)

58.579 feet

d)

7.654 feet

57.

Find the length of Side BC.

a)

33

b)

24

c)

12

d)

29

58.

Find the length of side AB.

a)

10

b)

8

c)

6.1

d)

4.9

59.

What is the measure of angle A?

a)

58 degrees

b)

61 degrees

c)

78 degrees

d)

74 degrees

60.

Find the length of side AC.

a)

12

b)

10

c)

23

d)

14

61.

What is the length of side x?

a)

130 cm

b)

112 cm

c)

150 cm

d)

105 cm

62.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

63.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

8^o

64.

Find the value of y.

a)

11√2

b)

11

c)

22

d)

11/√2

65.

Solve for x. Round to the nearest tenth.

a)

74.9

b)

3.6

c)

63.5

d)

54.1

66.

Solve for x. Round to the nearest tenth.

a)

19.0

b)

24.3

c)

21.0

d)

20.2

67.

Solve for x. Round to the nearest tenth.

a)

10.4

b)

8.9

c)

31.2

d)

11.9

68.

Solve for the misssing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

69.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

70.

Find x.

a)

30°

b)

60°

c)

90°

d)

180°

71.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

72.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

73.

Find the length of side x.

(a)

74.

Find the length of side x. Round to two decimal places.

(a)

75.

Find the length of side x. Round to two decimal places.

(a)

76.

Find the missing value. Round to the tenth, if necessary.

(a)

77.

Find the measure of angle J. Round to the tenth.

(a)

78.

Find the measure of angle J. Round to the tenth.

(a)

79.

Find the measure of angle T. Round to the tenth.

(a)

80.

Find the measure of angle T. Round to the tenth.

(a)

Chapter 9 Quiz 1 Review

Total questions: 80

Worksheet time: 3hrs 46mins

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