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Convert degrees, minutes and seconds to decimals

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

'Convert degrees, minutes and seconds to decimals' worksheet

Key stage:  KS 2

Curriculum topic:  Number: Addition, Subtraction, Multiplication and Division

Curriculum subtopic:  Solve Four Operations Problems

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 42º 14' 32" into an angle in decimal format to 2 decimal places.

 

Answer

14' = 14/60 degrees.

32" = 32/3600 degrees.

Use a calculator to work out

42 + 14 ÷ 60 + 32 ÷ 3600

So 42º 14' 32" = 42.24222222º... = 42.24º (to 2 dp)

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

74º 59' 20"

(Just write the number)

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

42º 21' 56"

(Just write the number)

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

35º 24' 12"

(Just write the number)

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

35º 35' 35"

(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' 28"

(Just write the number)

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

20' 55"

(Just write the number)

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

20º 55'

(Just write the number)

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

20º 55"

(Just write the number)

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

0º 0' 54"

(Just write the number)

  • Question 1

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

74º 59' 20"

(Just write the number)

CORRECT ANSWER
74.99
EDDIE SAYS
74 + 59 ÷ 60 + 20 ÷ 3600
  • Question 2

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

42º 21' 56"

(Just write the number)

CORRECT ANSWER
42.37
EDDIE SAYS
42 + 21 ÷ 60 + 56 ÷ 3600
  • Question 3

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

35º 24' 12"

(Just write the number)

CORRECT ANSWER
35.40
EDDIE SAYS
35 + 24 ÷ 60 + 12 ÷ 3600
  • Question 4

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

35º 35' 35"

(Just write the number)

CORRECT ANSWER
35.59
EDDIE SAYS
35 + 35 ÷ 60 + 35 ÷ 3600
  • Question 5

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

114º 39"

(Just write the number)

CORRECT ANSWER
114.01
EDDIE SAYS
114 + 0 ÷ 60 + 39 ÷ 3600
  • Question 6

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

128º 28' 28"

(Just write the number)

CORRECT ANSWER
128.47
EDDIE SAYS
128 + 28 ÷ 60 + 28 ÷ 3600
  • Question 7

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

20' 55"

(Just write the number)

CORRECT ANSWER
0.35
EDDIE SAYS
0 + 20 ÷ 60 + 55 ÷ 3600
  • Question 8

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

20º 55'

(Just write the number)

CORRECT ANSWER
20.92
EDDIE SAYS
20 + 55 ÷ 60 + 0 ÷ 3600
  • Question 9

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

20º 55"

(Just write the number)

CORRECT ANSWER
20.02
EDDIE SAYS
20 + 0 ÷ 60 + 55 ÷ 3600
  • Question 10

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

0º 0' 54"

(Just write the number)

CORRECT ANSWER
0.02
EDDIE SAYS
54 ÷ 3600
---- OR ----

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