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Proportional Reasoning-2 Exercise 3.2 Class 8 Maths - Chapter 3 NCERT Solutions

NCERT Class 8 Maths Chapter 3 Proportional Reasoning-2 Exercise 3.2 detailed solutions PDF is provided below, prepared by the experienced faculty of ALLEN expert teams. The solutions support students in understanding the exercise and provide step-by-step guidance for solving the questions. The page also includes exercise-specific key concepts and benefits for better understanding and revision.3.2 Exercise Find the missing values and calculate the corresponding angles and represent the information using pie charts from the given data. It covers data on seasons and preferences for TV channels and also on collection of class data and visual presentation of data in a pie chart. This exercise helps students learn how different values can be represented and compared using pie charts.

1.0Download Class 8 Maths Chapter 3 Ex 3.2 NCERT Solutions PDF

Download the Exercise 3.2 detailed solutions PDF for step-by-step learning, practice, and revision.

Chapter 3 : Proportional Reasoning - 2 Exercise 3.2

2.0Detailed NCERT Solutions on Proportional Reasoning-2 Exercise 3.2 Class 8 Maths (Ganita Prakash Term 2).

1. A group of 360 people were asked to vote for their favourite season from the three seasons -rainy, winter and summer. 90 liked the summer season, 120 liked the rainy season, and the rest liked the winter. Draw a pie chart to show this information.

Sol. Given, total number of people $= 360$ 90 people liked the summer season. 120 people liked the rainy season. $∴$ People like winter season

$= 360 - (120 + 90) = 150$

So, angle for summer season

$= \frac{90}{360} \times 36 0^{\circ} = 9 0^{\circ}$

Angle for rainy season

$= \frac{120}{360} \times 36 0^{\circ} = 12 0^{\circ}$

Angle for winter season

$= \frac{150}{360} \times 36 0^{\circ} = 15 0^{\circ}$

2. Draw a pie chart based on the following information about viewers' of favourite type of TV channel: Entertainment-50%, Sports 25%, News-15%, Information-10%. Sol. Given, Entertainment

= 50%

Sports

= 25%

News

= 15%

Information = 10% Angle for entertainment

= 50%

of

36 0^{\circ}

= \frac{50}{100} \times 36 0^{\circ} = 18 0^{\circ}

Angle for sports

= 25%

of

36 0^{\circ}

= \frac{25}{100} \times 36 0^{\circ} = 9 0^{\circ}

Angle for news

= 15%

of

36 0^{\circ}

= \frac{15}{100} \times 36 0^{\circ} = 5 4^{\circ}

Angle for information

= 10%

of

36 0^{\circ}

= \frac{10}{100} \times 36 0^{\circ} = 3 6^{\circ}

3. Prepare a pie chart that shows the favourite subjects of the students in your class. You can collect the data of the number of students for each subject shown in the table (each student should choose only one subject). Then write these numbers in the table and construct a pie chart:

Subject	Number of students
Language
Arts Education
Vocational Education
Social Science
Physical Education
Maths
Science

Sol.

Subject	Number of students
Language	4
Arts Education	6
Vocational Education	9
Social Science	3
Physical Education	10
Maths	12
Science	16

Angle for Language $= \frac{4}{60} \times 36 0^{\circ} = 2 4^{\circ}$ Angle for Arts Education $= \frac{6}{60} \times 36 0^{\circ} = 3 6^{\circ}$ Angle for Vocational Education $= \frac{9}{60} \times 36 0^{\circ} = 5 4^{\circ}$ Angle for Social Science $= \frac{3}{60} \times 36 0^{\circ} = 1 8^{\circ}$ Angle for Physical Education $= \frac{10}{60} \times 36 0^{\circ} = 6 0^{\circ}$ Angle for Maths $= \frac{12}{60} \times 36 0^{\circ} = 7 2^{\circ}$ Angle for Science $= \frac{16}{60} \times 36 0^{\circ} = 9 6^{\circ}$

Science
Language
Arts Education
Vocational education
Social Science
Physical Education
Maths

3.0Key Concepts of Chapter 3 Proportional Reasoning-2 Exercise 3.2

Finding the remaining value when the total and other categories are given.
Calculating the angle for each category using the given data.
Converting percentages into corresponding angles for a pie chart.
Constructing a pie chart using the calculated angles.
Representing given data through a pie chart.
Collecting class data and presenting it through a pie chart.

4.0Benefits of NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.2

Provides steps to find the number of people who prefer winter when the total and other seasonal preferences are given.
Explains how to convert the number of people preferring each season into corresponding pie-chart angles.
Shows how to convert the given percentages for Entertainment, Sports, News, and Information into sector angles.
Guides students through constructing a pie chart using the given TV channel preference data.
Helps organise collected favourite-subject data and represent it through a pie chart.
Explains how to calculate the total and corresponding angles for the collected class data before constructing the pie chart.

NCERT Class 8 Maths Ch. 3 Proportional Reasoning - 2 Other Exercises:-

Exercise 3.1

Exercise 3.2

Exercise 3.3

Exercise 3.4

NCERT Solutions Class 8 Maths All Chapters:-

Chapter 1 : Fractions in Disguise

Chapter 2 : The Baudhayana - The Pythagoras Theorem

Chapter 3 : Proportional Reasoning - 2

Chapter 4 : Exploring Some Geometric Themes

Chapter 5 : Tales by Dots and Lines

Chapter 6 : Algebra Play

Chapter 7 : Area

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Proportional Reasoning-2 Exercise 3.2 Class 8 Maths - Chapter 3 NCERT Solutions

NCERT Class 8 Maths Chapter 3 Proportional Reasoning-2 Exercise 3.2 detailed solutions PDF is provided below, prepared by the experienced faculty of ALLEN expert teams. The solutions support students in understanding the exercise and provide step-by-step guidance for solving the questions. The page also includes exercise-specific key concepts and benefits for better understanding and revision.3.2 Exercise Find the missing values and calculate the corresponding angles and represent the information using pie charts from the given data. It covers data on seasons and preferences for TV channels and also on collection of class data and visual presentation of data in a pie chart. This exercise helps students learn how different values can be represented and compared using pie charts.

1.0Download Class 8 Maths Chapter 3 Ex 3.2 NCERT Solutions PDF

Download the Exercise 3.2 detailed solutions PDF for step-by-step learning, practice, and revision.

Chapter 3 : Proportional Reasoning - 2 Exercise 3.2

2.0Detailed NCERT Solutions on Proportional Reasoning-2 Exercise 3.2 Class 8 Maths (Ganita Prakash Term 2).

1. A group of 360 people were asked to vote for their favourite season from the three seasons -rainy, winter and summer. 90 liked the summer season, 120 liked the rainy season, and the rest liked the winter. Draw a pie chart to show this information.

Sol. Given, total number of people $= 360$ 90 people liked the summer season. 120 people liked the rainy season. $∴$ People like winter season

$= 360 - (120 + 90) = 150$

So, angle for summer season

$= \frac{90}{360} \times 36 0^{\circ} = 9 0^{\circ}$

Angle for rainy season

$= \frac{120}{360} \times 36 0^{\circ} = 12 0^{\circ}$

Angle for winter season

$= \frac{150}{360} \times 36 0^{\circ} = 15 0^{\circ}$

2. Draw a pie chart based on the following information about viewers' of favourite type of TV channel: Entertainment-50%, Sports 25%, News-15%, Information-10%. Sol. Given, Entertainment

= 50%

Sports

= 25%

News

= 15%

Information = 10% Angle for entertainment

= 50%

of

36 0^{\circ}

= \frac{50}{100} \times 36 0^{\circ} = 18 0^{\circ}

Angle for sports

= 25%

of

36 0^{\circ}

= \frac{25}{100} \times 36 0^{\circ} = 9 0^{\circ}

Angle for news

= 15%

of

36 0^{\circ}

= \frac{15}{100} \times 36 0^{\circ} = 5 4^{\circ}

Angle for information

= 10%

of

36 0^{\circ}

= \frac{10}{100} \times 36 0^{\circ} = 3 6^{\circ}

3. Prepare a pie chart that shows the favourite subjects of the students in your class. You can collect the data of the number of students for each subject shown in the table (each student should choose only one subject). Then write these numbers in the table and construct a pie chart:

Subject	Number of students
Language
Arts Education
Vocational Education
Social Science
Physical Education
Maths
Science

Sol.

Subject	Number of students
Language	4
Arts Education	6
Vocational Education	9
Social Science	3
Physical Education	10
Maths	12
Science	16

Angle for Language $= \frac{4}{60} \times 36 0^{\circ} = 2 4^{\circ}$ Angle for Arts Education $= \frac{6}{60} \times 36 0^{\circ} = 3 6^{\circ}$ Angle for Vocational Education $= \frac{9}{60} \times 36 0^{\circ} = 5 4^{\circ}$ Angle for Social Science $= \frac{3}{60} \times 36 0^{\circ} = 1 8^{\circ}$ Angle for Physical Education $= \frac{10}{60} \times 36 0^{\circ} = 6 0^{\circ}$ Angle for Maths $= \frac{12}{60} \times 36 0^{\circ} = 7 2^{\circ}$ Angle for Science $= \frac{16}{60} \times 36 0^{\circ} = 9 6^{\circ}$

Science
Language
Arts Education
Vocational education
Social Science
Physical Education
Maths

3.0Key Concepts of Chapter 3 Proportional Reasoning-2 Exercise 3.2

Finding the remaining value when the total and other categories are given.
Calculating the angle for each category using the given data.
Converting percentages into corresponding angles for a pie chart.
Constructing a pie chart using the calculated angles.
Representing given data through a pie chart.
Collecting class data and presenting it through a pie chart.

4.0Benefits of NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.2

Provides steps to find the number of people who prefer winter when the total and other seasonal preferences are given.
Explains how to convert the number of people preferring each season into corresponding pie-chart angles.
Shows how to convert the given percentages for Entertainment, Sports, News, and Information into sector angles.
Guides students through constructing a pie chart using the given TV channel preference data.
Helps organise collected favourite-subject data and represent it through a pie chart.
Explains how to calculate the total and corresponding angles for the collected class data before constructing the pie chart.

Frequently Asked Questions

What is covered in Class 8 Maths Chapter 3 Exercise 3.2?

How do you find the remaining number of people in Exercise 3.2?

How are pie-chart angles calculated from the given data?

How do you convert percentages into pie-chart angles in Exercise 3.2?

What type of data is used to construct the pie chart in Question 3?

How can ALLEN NCERT Solutions for Exercise 3.2 help students?

Join ALLEN!

Proportional Reasoning-2 Exercise 3.2 Class 8 Maths - Chapter 3 NCERT Solutions

1.0Download Class 8 Maths Chapter 3 Ex 3.2 NCERT Solutions PDF

2.0Detailed NCERT Solutions on Proportional Reasoning-2 Exercise 3.2 Class 8 Maths (Ganita Prakash Term 2).

3.0Key Concepts of Chapter 3 Proportional Reasoning-2 Exercise 3.2

4.0Benefits of NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.2

Frequently Asked Questions

What is covered in Class 8 Maths Chapter 3 Exercise 3.2?

How do you find the remaining number of people in Exercise 3.2?

How are pie-chart angles calculated from the given data?

How do you convert percentages into pie-chart angles in Exercise 3.2?

What type of data is used to construct the pie chart in Question 3?

How can ALLEN NCERT Solutions for Exercise 3.2 help students?

Join ALLEN!

Proportional Reasoning-2 Exercise 3.2 Class 8 Maths - Chapter 3 NCERT Solutions

1.0Download Class 8 Maths Chapter 3 Ex 3.2 NCERT Solutions PDF

2.0Detailed NCERT Solutions on Proportional Reasoning-2 Exercise 3.2 Class 8 Maths (Ganita Prakash Term 2).

3.0Key Concepts of Chapter 3 Proportional Reasoning-2 Exercise 3.2

4.0Benefits of NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.2