Class 7 Mathematics Chapter 8 Comparing Quantities

1. Integrated B.Sc. - B.Ed.
Name : SANDHYA
School Of Education
Part 4

3. Warsha Sneha
She has done better as she got
320 marks whereas Sneha got
only 300.
Warsha’s Report
Total 320/400
Percentage: 80%
Sneha’s Report
Total 300/360
Percentage: 83.3%

4. They cannot decide who has done
better by just comparing the total
marks obtained because the
maximum marks out of which they
got the marks are not
the same.
Warsha’s Report
Total 320/400
Percentage: 80%
Warsha Sneha
Swati
Sneha’s Report
Total 300/360
Percentage: 83.3%

5. Why don’t you see the
percentages given in
your report cards?
Warsha’s Report
Total 320/400
Percentage: 80 %
Warsha Sneha
Swati
Sneha’s Report
Total 300/360
Percentage: 83.3%

6. Why don’t you see the
percentages given in
your report cards?
Warsha’s Report
Total 320/400
Percentage: 80 %
Warsha Sneha
Swati
Sneha’s Report
Total 300/360
Percentage: 83.3%

7. Percentage
Per cent is derived from Latin word ‘per centum’ meaning ‘per hundred.
Per cent is represented by the symbol “%” and means hundredths too.
Percentage is a fraction or a ratio in which the value of whole is always 100.
• That is 1% means 1 out of hundred or one hundredth.

8. Percentage
Percentage is a fraction or a ratio in which the value of whole is always 100.
• That is 1% means 1 out of hundred or one hundredth.
It can be written as: 1% =
𝟏
𝟏𝟎𝟎
= 0.01

9. Percentage
• 50% means 50 per 100
(50% of this box is green)

10. Percentage
He scored 30 marks out of 100.
It is written as in the
fraction form and in terms
of ratio.
Sandeep
scored 30%
marks in his
math test.

11. Percentage
He scored 30 marks out of 100.
It is written as in the
fraction form and in terms
of ratio.
Sandeep
scored 30%
marks in his
math test.
𝟑𝟎
𝟏𝟎𝟎
30:100

12. List some examples from their day to-day life where they
observe ratios.

13. Anjali made a table top of 100 different coloured tiles. She
counted yellow, green, red and blue tiles separately and filled
the table below. Will you help her complete the table?
Colour Number of Tiles Rate per
Hundred
Fraction Written as
Yellow 14 14 14%
Green 26 26
Red 35 35
Blue 25
Total 100
𝟏𝟒
𝟏𝟎𝟎

14. Anjali made a table top of 100 different coloured tiles. She
counted yellow, green, red and blue tiles separately and filled
the table below. Will you help her complete the table?
Colour Number of Tiles Rate per
Hundred
Fraction Written as
Yellow 14 14 14%
Green 26 26 𝟐𝟔
𝟏𝟎𝟎
26%
Red 35 35 𝟑𝟓
𝟏𝟎𝟎
35%
Blue 25 25 𝟐𝟓
𝟏𝟎𝟎
25%
Total 100
𝟏𝟒
𝟏𝟎𝟎

15. Identify the Image

16. You have a necklace with twenty beads in two colors.
Fill the table and find the percentage of beads of each
colour.
Colour No. Of Beads Fraction Denominator
Hundred
In percentage
Red 8
Blue 12
Total

17. You have a necklace with twenty beads in two colors.
Fill the table and find the percentage of beads of each
colour.
Colour No. Of Beads Fraction Denominator
Hundred
In percentage
Red 8 8
20
×
5
5
=
40
100
40%
Blue 12 12
20
×
5
5
=
60
100
60%
Total 20
8
20
12
20

18. Out of 20 beads, the number of red beads is 8. Hence, out
of 100, the number of red beads is
Number of red beads from 20 beads=
•Hence, out of 100, the number of red beads =

19. Out of 20 beads, the number of red beads is 8. Hence, out
of 100, the number of red beads is
Number of red beads from 20 beads=
•Hence, out of 100, the number of red beads =
8
8
20
* 100 = 40%

20. RECAPITULATION:
• Percentage is a fraction or a ratio in which the value of whole is always 100.
• In the following figure, choose the percentage of green colour boxes which are represents 5%, 100% and
50%.

21. RECAPITULATION:
• A collection of 10 chips with different colors is given . Fill the table and find the percentage of chips of
each colour.
Colour Number Fraction Denominator
Hundred
In
Percentage
Green
Blue
Red
Total

22. RECAPITULATION:
• Real life examples of Percentages :

23. HOMEWORK:
Q.1) Look at the examples below and in each of them, discuss which is better for comparison. In the atmospher
of air contains:
Q.2) Find the Percentage of children of different heights for the following data.
Q.3) A shop has the following number of shoe pairs of different sizes.
Size 2 : 20 Size 3 : 30 Size 4 : 28
Size 5 : 14 Size 6 : 8
Write this information in tabular form as done earlier and find the Percentage of each shoe size available in the s
Height Number of Children In Fraction In Percentage
110 cm 22
120 cm 25
128cm 32
130 cm 21
Total 100