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Class 5 
Mathematics
PE RC E NT A G E S
Page 2


Class 5 
Mathematics
PE RC E NT A G E S
What are Percentages?
Percentages represent the
number of parts per
hundred. 
1
1 0 0
=
1 %
The symbol of per cent is %.
Page 3


Class 5 
Mathematics
PE RC E NT A G E S
What are Percentages?
Percentages represent the
number of parts per
hundred. 
1
1 0 0
=
1 %
The symbol of per cent is %.
What are Percentages?
The square is divided into 100
equal parts.  
3 0
1 0 0
=
3 0 %
The shaded part comprises 30
out of 100 or 30 per cent of the
whole.
Page 4


Class 5 
Mathematics
PE RC E NT A G E S
What are Percentages?
Percentages represent the
number of parts per
hundred. 
1
1 0 0
=
1 %
The symbol of per cent is %.
What are Percentages?
The square is divided into 100
equal parts.  
3 0
1 0 0
=
3 0 %
The shaded part comprises 30
out of 100 or 30 per cent of the
whole.
What are Percentages?
70 out of 100 parts are
unshaded.
7 0 70
1 0 0 100
==
7 0 % 70%
The unshaded part comprises
70 per cent of the whole.
Page 5


Class 5 
Mathematics
PE RC E NT A G E S
What are Percentages?
Percentages represent the
number of parts per
hundred. 
1
1 0 0
=
1 %
The symbol of per cent is %.
What are Percentages?
The square is divided into 100
equal parts.  
3 0
1 0 0
=
3 0 %
The shaded part comprises 30
out of 100 or 30 per cent of the
whole.
What are Percentages?
70 out of 100 parts are
unshaded.
7 0 70
1 0 0 100
==
7 0 % 70%
The unshaded part comprises
70 per cent of the whole.
E x a m p l e
If we say 30% of the cookies
have been eaten, then 30/100,
or 30 cookies are gone.
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FAQs on PPT: Percentages - Mathematics for Class 5

1. What are percentages and how are they used in everyday life?
Ans. Percentages represent a fraction of 100. They are used to express how much one quantity is in relation to another, making it easier to compare values. In everyday life, percentages are commonly used in financial contexts, such as calculating discounts during sales, understanding interest rates on loans, or determining tax rates on purchases. They also appear in statistics, such as survey results or demographic data.
2. How can I calculate a percentage of a number?
Ans. To calculate a percentage of a number, you can use the formula: (percentage / 100) × total number. For example, to find 20% of 150, you would calculate (20 / 100) × 150, which equals 30. This method allows you to easily determine what a specific percentage of any number is.
3. What is the difference between percentage points and percentages?
Ans. Percentage points refer to the simple difference between two percentages. For instance, if a value increases from 40% to 50%, it has increased by 10 percentage points. In contrast, a percentage change expresses how much a value has increased or decreased in relation to its original value. For example, the increase from 40% to 50% is a 25% increase ((50-40)/40 × 100).
4. How do I convert a fraction to a percentage?
Ans. To convert a fraction to a percentage, divide the numerator (the top number) by the denominator (the bottom number) and then multiply the result by 100. For example, to convert 3/4 to a percentage, you would calculate (3 ÷ 4) × 100, which equals 75%. This process allows you to express the fraction as a percentage of 100.
5. Why are percentages important in statistics and data analysis?
Ans. Percentages are crucial in statistics and data analysis because they provide a standardized way to compare different data sets. They help to summarize large amounts of information, making it easier to identify trends, patterns, and relationships within the data. By converting raw numbers into percentages, analysts can better communicate findings and make informed decisions based on the relative significance of the data.
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