 # Convert Decimal Angles to Degrees and Minutes

In this worksheet, students revise conversion of angles given in decimal format to angles in degrees and minutes. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Standard Units of Measure

Difficulty level:   ### QUESTION 1 of 10

An angle of 1º can be divided into 60 equal parts.

Each of these parts is known as 1 minute (1').

So 60' = 1º

Example

Convert 42.45º  into an angle in degrees and minutes.

Just look at the part after the decimal point i.e. 0.45º

Use a calculator to work out 0.45 × 60 = 27

So 42.45º = 42º 27'

Convert the following angle into an angle expressed in degrees and minutes.

74.5º

(Choose the correct answer from the options below)

74° 5'

74° 30'

74° 50'

Convert the following angle into an angle expressed in degrees and minutes.

14.6º

(Choose the correct answer from the options below)

14° 6'

14° 30'

14° 36'

Convert the following angle into an angle expressed in degrees and minutes.

11.8º

(Choose the correct answer from the options below)

11° 8'

11° 80'

11° 48'

Convert the following angle into an angle expressed in degrees and minutes.

58.2º

(Choose the correct answer from the options below)

58° 12'

58° 20'

58° 6'

Convert the following angle into an angle expressed in degrees and minutes.

99.9º

(Choose the correct answer from the options below)

99° 0.9'

99° 54'

99° 90'

Convert the following angle into an angle expressed in degrees and minutes.

9.7º

(Choose the correct answer from the options below)

9° 42'

9° 44'

9° 7'

Convert the following angle into an angle expressed in degrees and minutes.

29.75º

(Choose the correct answer from the options below)

29° 42'

29° 75'

29° 45'

Convert the following angle into an angle expressed in degrees and minutes.

30.45º

(Choose the correct answer from the options below)

30° 45'

30° 40'

30° 27'

Convert the following angle into an angle expressed in degrees and minutes.

12.95º

(Choose the correct answer from the options below)

12° 95'

12° 57'

12° 27'

Convert the following angle into an angle expressed in degrees and minutes.

58.35º

(Choose the correct answer from the options below)

58° 21'

58° 35'

58° 40'

• Question 1

Convert the following angle into an angle expressed in degrees and minutes.

74.5º

(Choose the correct answer from the options below)

74° 30'
• Question 2

Convert the following angle into an angle expressed in degrees and minutes.

14.6º

(Choose the correct answer from the options below)

14° 36'
• Question 3

Convert the following angle into an angle expressed in degrees and minutes.

11.8º

(Choose the correct answer from the options below)

11° 48'
• Question 4

Convert the following angle into an angle expressed in degrees and minutes.

58.2º

(Choose the correct answer from the options below)

58° 12'
• Question 5

Convert the following angle into an angle expressed in degrees and minutes.

99.9º

(Choose the correct answer from the options below)

99° 54'
• Question 6

Convert the following angle into an angle expressed in degrees and minutes.

9.7º

(Choose the correct answer from the options below)

9° 42'
• Question 7

Convert the following angle into an angle expressed in degrees and minutes.

29.75º

(Choose the correct answer from the options below)

29° 45'
• Question 8

Convert the following angle into an angle expressed in degrees and minutes.

30.45º

(Choose the correct answer from the options below)

30° 27'
• Question 9

Convert the following angle into an angle expressed in degrees and minutes.

12.95º

(Choose the correct answer from the options below)

12° 57'
• Question 10

Convert the following angle into an angle expressed in degrees and minutes.

58.35º

(Choose the correct answer from the options below)

58° 21'
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