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Aviation Math - REVISION - CHAP3 - Lesson 3.1

Total questions: 35

Worksheet time: 28mins

Name
Class
Date
1.

Vertical angles are _______________.

a)

opposite angles

b)

adjacent angles

c)

complementary angles

d)

supplementary angles

2.

Angles that share a vertex and a common side are _______________ angles.

a)

adjacent

b)

vertical

c)

complementary

d)

supplementary

3.

The measures of complementary angles add up to _______________.

a)

90 degrees

b)

180 degrees

c)

60 degrees

d)

45 degrees

4.

The measures of supplementary angles add up to _______________.

a)

180 degrees

b)

90 degrees

c)

360 degrees

d)

120 degrees

5.

Two adjacent angles that make a straight line are called a _______________.

a)

linear pair

b)

vertical angles

c)

complementary angles

d)

supplementary angles

6.

What is the complement of 43°?

a)

47°

b)

37°

c)

53°

d)

57°

7.

What is the supplement of 51°?

a)

129°

b)

139°

c)

119°

d)

151°

8.

What is the complement of 162°?

a)

Not possible (complement only exists for angles less than 90°)

b)

18°

c)

72°

d)

108°

9.

What is the supplement of 13°?

a)

167°

b)

153°

c)

123°

d)

87°

10.

Find the measure of each missing angle.

a)

α = 43°

b)

α = 53°

c)

α = 37°

d)

α = 47°

11.

Find the measure of the missing angle α.

a)

α = 63°

b)

α = 45°

c)

α = 90°

d)

α = 120°

12.

Find the measure of the missing angle α.

a)

α = 41°

b)

α = 51°

c)

α = 31°

d)

α = 21°

13.

Find the measure of the missing angle α.

a)

α = 104°

b)

α = 76°

c)

α = 90°

d)

α = 120°

14.

Solve for x.

a)

x = 4

b)

x = 6

c)

x = 10

d)

x = 12

15.

Solve for x.

a)

x = 7

b)

x = 5

c)

x = 9

d)

x = 6

16.

Solve for x.

a)

x = 8

b)

x = 6

c)

x = 10

d)

x = 12

17.

Solve for x.

a)

x = 5

b)

x = 2

c)

x = 10

d)

x = 0

18.

Find the measure of the angle indicated in bold.

a)

60°

b)

120°

c)

102°

d)

84°

19.

Find the measure of the angle indicated in bold.

a)

85°

b)

60°

c)

120°

d)

45°

20.

Convert 255° into radians.

a)

255° = (255 × π) / 180 = 17π/12 radians

b)

255° = (255 × π) / 180 = 5π/4 radians

c)

255° = (255 × π) / 180 = 7π/6 radians

d)

255° = (255 × π) / 180 = 11π/9 radians

21.

Convert 5π/3 into degrees.

a)

300°

b)

120°

c)

150°

d)

240°

22.

Convert -50° into radians

a)

-50° = (-50 × π) / 180 = -5π/18 radians

b)

-50° = (-50 × π) / 90 = -5π/9 radians

c)

-50° = (-50 × π) / 360 = -5π/36 radians

d)

-50° = (-50 × π) / 270 = -5π/27 radians

23.

Convert 19π/4 into degrees.

a)

855°

b)

720°

c)

1080°

d)

950°

24.

Convert 390° into radians.

a)

13π/6 radians

b)

7π/6 radians

c)

2π radians

d)

5π/3 radians

25.

Convert 25.64° into degrees, minutes and seconds.

a)

25° 38' 24"

b)

25° 46' 24"

c)

25° 34' 56"

d)

25° 38' 42"

26.

Convert 136.28° into degrees, minutes and seconds.

a)

136° 16' 48"

b)

136° 28' 00"

c)

136° 16' 28"

d)

136° 17' 48"

27.

Convert 359.96° into degrees, minutes and seconds.

a)

359° 57' 36"

b)

359° 56' 36"

c)

359° 58' 36"

d)

359° 57' 06"

28.

Convert into 204.56° into degrees, minutes and seconds.

a)

204° 33' 36"

b)

204° 56' 00"

c)

204° 33' 16"

d)

204° 34' 56"

29.

Convert 204° 33' 0" into degrees.

a)

204.55

b)

204.33

c)

204.59

d)

204.46

30.

Convert 265° 57' 36" into degrees.

a)

265.96°

b)

265.6°

c)

265.72°

d)

265.24°

31.
What is the reference angle for 240 degrees?
a)
60 degrees
b)
30 degrees
c)
45 degrees
d)
210 degrees
32.
What is the reference angle for 30 degrees?
a)
70 degrees
b)
30 degrees
c)
150 degrees
d)
330 degrees
33.

What is the reference angle?

a)

-55

b)

55

c)

45

d)

-225

34.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

35.

What is the reciprocal heading when the initial heading is at 305°?

a)

55°

b)

125°

c)

180°

d)

360°