# 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.

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

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.

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

24° 23' 6"
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started