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Convert Decimal Angles to Degrees, Minutes and Seconds

In this worksheet, students revise conversion of angles given in decimal format to angles in degrees, minutes and seconds.

'Convert Decimal Angles to Degrees, Minutes and Seconds' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Standard Units of Measure

Difficulty level:  

Worksheet Overview

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

 

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

Each of these parts is known as 1 second (1").

So 60" = 1'    and   3600" = 1º

  

Example

Convert 13.49º  into an angle in degrees, minutes and seconds.

 

Answer

Just look at the part after the decimal point i.e. 0.49º

Use a calculator to work out 0.49 x 60 = 29.4

13.49º = 13º 29.4'

Now again look at the part after the decimal point in 29.4' i.e. 0.4'

Use a calculator to work out 0.4 x 60 = 24"

So 13.49º = 13º 29' 24"

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

 

74.39º

 

(Choose the correct answer from the options below)

74° 30' 9"

74° 39' 0"

74° 23' 24"

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

 

18.19º

 

(Choose the correct answer from the options below)

18° 11' 4"

18° 11' 24"

18° 19' 24"

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

 

52.63º

 

(Choose the correct answer from the options below)

52° 60' 3"

52° 37' 48"

52° 37' 3"

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

 

12.375º

 

(Choose the correct answer from the options below)

12° 22' 5"

12° 22' 30"

12° 37' 5"

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

 

72.54º

 

(Choose the correct answer from the options below)

72° 32' 24"

72° 32' 4"

72° 57' 5"

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

 

18.61º

 

(Choose the correct answer from the options below)

18° 32' 34"

18° 60' 1"

18° 36' 36"

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

 

36.36º

 

(Choose the correct answer from the options below)

36° 21' 6"

36° 21' 36"

36° 36' 36"

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

 

0.02º

 

(Choose the correct answer from the options below)

0° 1' 12"

0° 1' 36"

0° 1' 2"

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

 

62.62º

 

(Choose the correct answer from the options below)

62° 37' 62"

62° 37' 12"

62° 37' 2"

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

 

24.385º

 

(Choose the correct answer from the options below)

24° 38' 30"

24° 23' 1"

24° 23' 6"

  • Question 1

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

 

74.39º

 

(Choose the correct answer from the options below)

CORRECT ANSWER
74° 23' 24"
  • Question 2

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

 

18.19º

 

(Choose the correct answer from the options below)

CORRECT ANSWER
18° 11' 24"
  • Question 3

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

 

52.63º

 

(Choose the correct answer from the options below)

CORRECT ANSWER
52° 37' 48"
  • Question 4

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

 

12.375º

 

(Choose the correct answer from the options below)

CORRECT ANSWER
12° 22' 30"
  • Question 5

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

 

72.54º

 

(Choose the correct answer from the options below)

CORRECT ANSWER
72° 32' 24"
  • Question 6

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

 

18.61º

 

(Choose the correct answer from the options below)

CORRECT ANSWER
18° 36' 36"
  • Question 7

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

 

36.36º

 

(Choose the correct answer from the options below)

CORRECT ANSWER
36° 21' 36"
  • Question 8

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

 

0.02º

 

(Choose the correct answer from the options below)

CORRECT ANSWER
0° 1' 12"
  • Question 9

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

 

62.62º

 

(Choose the correct answer from the options below)

CORRECT ANSWER
62° 37' 12"
  • Question 10

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

 

24.385º

 

(Choose the correct answer from the options below)

CORRECT ANSWER
24° 23' 6"
---- OR ----

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