Math Skill: Percentage Pictures
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Percentage Pictures


The word percent means "per hundred" or "out of a hundred".
The symbol for percent is %. So, 8% (pronounced "8 percent") means "8 out of 100".

"8 out of 100"   =   8/100   =   0.08   =   8%


Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.


%

shaded squares
total squares
=
43
100
=  0.43  =  43%


Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.


%

shaded parts
total parts
=
3
4
=
3 × 25
4 × 25
=
75
100
=  0.75  =  75%

Complexity=3, Mode=100grid

Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.
1.  
%
2.  
%

Complexity=3, Mode=10square

Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.
1.  

%

2.  

%


Complexity=5, Mode=polygon

Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.
1.  
%
2.  
%

Complexity=9, Mode=polygon

Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.
1.  
%
2.  
%

Complexity=15, Mode=polygon

Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.
1.  
%
2.  
%

Answers


Complexity=3, Mode=100grid

Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.
#ProblemCorrect AnswerYour Answer
1
%
Solution
53 boxes out of 100 are shaded.
Percentage is a ratio out of 100, so the answer is 53%
#ProblemCorrect AnswerYour Answer
2
%
Solution
39 boxes out of 100 are shaded.
Percentage is a ratio out of 100, so the answer is 39%

Complexity=3, Mode=10square

Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.
#ProblemCorrect AnswerYour Answer
1

%

Solution
Nothing is shaded, so 0% is shaded
#ProblemCorrect AnswerYour Answer
2

%

Solution
7 out of 10 boxes are shaded.
7/10 = 0.7
Multiply the decimal by 100 to get a percentage.
0.7 × 100 = 70%

Alternate Solution
7 out of 10 boxes are shaded.
Multiply by 10 to make the ratio out of 100: 70/100
Percentage is a ratio out of 100, so the answer is 70%


Complexity=5, Mode=polygon

Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.
#ProblemCorrect AnswerYour Answer
1
%
Solution
1 out of 5 parts are shaded.
1/5 = 0.2
Multiply the decimal by 100 to get a percentage.
0.2 × 100 = 20%
#ProblemCorrect AnswerYour Answer
2
%
Solution
2 out of 4 parts are shaded.
2/4 = 0.5
Multiply the decimal by 100 to get a percentage.
0.5 × 100 = 50%

Alternate Solution
This fraction simplifies to 1/2
Half of something is 50%


Complexity=9, Mode=polygon

Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.
#ProblemCorrect AnswerYour Answer
1
%
Solution
3 out of 5 parts are shaded.
3/5 = 0.6
Multiply the decimal by 100 to get a percentage.
0.6 × 100 = 60%
#ProblemCorrect AnswerYour Answer
2
%
Solution
1 out of 5 parts are shaded.
1/5 = 0.2
Multiply the decimal by 100 to get a percentage.
0.2 × 100 = 20%

Complexity=15, Mode=polygon

Determine what percentage of the picture is shaded. If necessary, round to the nearest percentage.
#ProblemCorrect AnswerYour Answer
1
%
Solution
6 out of 11 parts are shaded.
6/11 = 0.54545454545455
Multiply the decimal by 100 to get a percentage.
0.54545454545455 × 100 = 54.545454545455%
Round 54.545454545455 to 55%
#ProblemCorrect AnswerYour Answer
2
%
Solution
5 out of 8 parts are shaded.
5/8 = 0.625
Multiply the decimal by 100 to get a percentage.
0.625 × 100 = 62.5%
Round 62.5 to 63%