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Convert Degrees and Minutes to Decimals

In this worksheet, students convert angles given in degrees and minutes to angles in decimal format.

'Convert Degrees and Minutes to Decimals' 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

 

Example

Convert 42º 14' into an angle in decimal format to 2 decimal places.

 

Answer

14' = 14/60 degrees.

Use a calculator to work out 14 ÷ 60 = 0.2333333...

So 42º 14' = 42.23333333º... = 42.23º (to 2 dp)

 

Convert the following angle into decimal format to 2 decimal places.

 

42º 21'

 

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

 

35º 24'

 

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

 

35º 35'

 

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

 

74º 59'

 

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

 

114º 39'

 

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

 

128º 28'

 

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

 

208º 20'

 

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

 

8º 30'

 

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

 

67º 40'

 

(Just write the number)

Convert the following angle into decimal format to 2 decimal places.

 

90º 45'

 

(Just write the number)

  • Question 1

Convert the following angle into decimal format to 2 decimal places.

 

42º 21'

 

(Just write the number)

CORRECT ANSWER
42.35
  • Question 2

Convert the following angle into decimal format to 2 decimal places.

 

35º 24'

 

(Just write the number)

CORRECT ANSWER
35.40
  • Question 3

Convert the following angle into decimal format to 2 decimal places.

 

35º 35'

 

(Just write the number)

CORRECT ANSWER
35.58
  • Question 4

Convert the following angle into decimal format to 2 decimal places.

 

74º 59'

 

(Just write the number)

CORRECT ANSWER
74.98
  • Question 5

Convert the following angle into decimal format to 2 decimal places.

 

114º 39'

 

(Just write the number)

CORRECT ANSWER
114.65
  • Question 6

Convert the following angle into decimal format to 2 decimal places.

 

128º 28'

 

(Just write the number)

CORRECT ANSWER
128.47
  • Question 7

Convert the following angle into decimal format to 2 decimal places.

 

208º 20'

 

(Just write the number)

CORRECT ANSWER
208.33
  • Question 8

Convert the following angle into decimal format to 2 decimal places.

 

8º 30'

 

(Just write the number)

CORRECT ANSWER
8.50
  • Question 9

Convert the following angle into decimal format to 2 decimal places.

 

67º 40'

 

(Just write the number)

CORRECT ANSWER
67.67
  • Question 10

Convert the following angle into decimal format to 2 decimal places.

 

90º 45'

 

(Just write the number)

CORRECT ANSWER
90.75
---- OR ----

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