CBSE Class 2 Mathematics Chapter 15: How Many Ponytails NCERT Solutions

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NCERT Solutions PDF Class 2 PDF

CBSE Class 2 Mathematics Chapter 15, 'How Many Ponytails,' introduces young learners to the foundational concepts of data handling and comparison. This chapter uses relatable scenarios, like observing friends and their hairstyles, to teach children how to collect information. They will practice counting objects and filling in blanks to represent this collected data. The exercises are designed to foster observational skills and encourage the use of comparative terms such as 'more' and 'less.' By engaging with these practical activities, students develop an intuitive understanding of basic statistics and quantitative reasoning. The NCERT Solutions offer clear, step-by-step explanations to support students as they grasp these early mathematical ideas, making it an excellent resource for both learning and revision.

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Quick info

BoardCBSE
ClassClass 2
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 15

Chapter summary

Chapter 15, 'How Many Ponytails,' in CBSE Class 2 Mathematics, introduces basic data handling and observation skills. Students are guided to collect information about their classmates' names and hairstyles, count objects, and represent this data. The chapter emphasizes understanding and comparing quantities, using terms like 'more' and 'less.' These NCERT Solutions offer a clear approach to solving the exercises, helping students build foundational skills in data interpretation and numerical comparison.

Learning outcomes

  • Understand the concept of data collection through observation.
  • Practice counting objects and names.
  • Represent simple data by writing numbers.
  • Compare quantities using 'more' and 'less'.
  • Develop observational skills in a classroom context.

Topics covered

Paper topics

  • Data Collection
  • Observation Skills
  • Counting
  • Number Representation
  • Comparison of Quantities
  • More than / Less than

Important topics

  • Data Collection and Observation
  • Counting and Number Representation
  • Comparing Quantities

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Questions and Solutions

Question 1

Ask your friends to write their names on a paper. Find out:

(a) The number of names ending with the same letter.

(b) One letter with which no name starts.

(c) The number of names starting with the same letter.

Solution:

This question encourages you to observe and collect data from your friends' names. The answers will be different for every group of friends.

Steps:

  1. Ask each friend to write their full name on a piece of paper.
  2. Look at the last letter of each name. Count how many names end with the same letter (e.g., how many end with 'a', how many end with 'n', etc.). Write down your findings for part (a).
  3. Look at the first letter of each name. See if there is any letter of the alphabet (like 'x', 'z', 'q') that none of your friends' names start with. Write down one such letter for part (b).
  4. Now, look at the first letter of each name again. Count how many names start with the same letter (e.g., how many start with 'S', how many start with 'R', etc.). Write down your findings for part (c).

Example: If you have 5 friends and their names are Ravi, Sara, Rohan, Riya, and Amit.

(a) Names ending with 'a': Sara, Riya (2 names). Names ending with 'i': Ravi (1 name). Names ending with 'n': Rohan (1 name). Names ending with 't': Amit (1 name). So, 2 names end with 'a'.

(b) No name starts with 'Z'.

(c) Names starting with 'R': Ravi, Rohan, Riya (3 names). Names starting with 'S': Sara (1 name). Names starting with 'A': Amit (1 name). So, 3 names start with 'R'.

Note: Your answers will vary based on the names of your friends.

Question 1

Count and write the number of fruits.

The image shows different types of fruits. You need to count how many of each type are present.

Solution:

To answer this question, you need to carefully observe the image provided on page 125 and count the number of each type of fruit shown. Let's assume the image shows:

  • Apples: 4
  • Bananas: 4
  • Oranges: 3

Based on this observation, you would fill in the table as follows:

Fruit Number of fruits
Apple 4
Banana 4
Orange 3

Answer: The number of fruits are: Apples - 4, Bananas - 4, Oranges - 3. (The exact fruits and counts depend on the image provided in the textbook).

Question 2

Look at the children in your class. All children comb their hair in different ways. Look and write down:

Hair style | Number of children

Solution:

This question requires you to observe the hairstyles of your classmates and count how many children have each style. The answers will be unique to your class.

Steps:

  1. Observe each child in your class and note down the way they have combed their hair (e.g., ponytail, braids, short hair, open hair, etc.).
  2. Create categories for the different hairstyles you observe.
  3. Count how many children fall into each category.
  4. Fill in the table with the hairstyle and the corresponding number of children.

Example: If in your class, 5 children have ponytails, 3 have braids, and 10 have short hair, your table would look like this:

Hair style Number of children
Ponytail 5
Braids 3
Short hair 10

Note: You must prepare the answer by observing your own classmates.

Question 1

Find out and fill in the blanks.

(a) The number of children with [Hairstyle A] is _____ than the number of children with [Hairstyle B]. (more/less)

(b) _____ children have [Hairstyle C].

Solution:

This question uses the data you collected in the previous question about hairstyles. You need to compare the numbers and fill in the blanks.

Steps:

  1. Refer to the table you created for Question 2 on page 125, which shows the number of children for each hairstyle.
  2. For part (a): Choose two different hairstyles (let's call them Hairstyle A and Hairstyle B). Compare the number of children who have Hairstyle A with the number of children who have Hairstyle B. Write 'more' if the number for Hairstyle A is greater, or 'less' if it is smaller. For example, if 5 children have ponytails and 3 children have braids, you would say: "The number of children with ponytails is more than the number of children with braids."
  3. For part (b): Choose one specific hairstyle (Hairstyle C) and write down the exact number of children who have that hairstyle, based on your table. For example, if 10 children have short hair, you would write: "10 children have short hair."

Note: The specific answers depend entirely on the data you collected from your class in the previous question.

Common mistakes

  • Miscounting names or hairstyles.
  • Incorrectly identifying the last letter of names.
  • Confusing 'more' and 'less' in comparisons.
  • Difficulty in accurately recording observed data.

Revision tips

  • Actively participate in collecting data for each question.
  • Double-check your counts before writing down the numbers.
  • Practice comparing quantities using 'more' and 'less' with everyday objects.
  • Review the solutions to understand the steps for data recording and comparison.

Practice MCQs

Q1. What is the primary activity in the 'How Many Ponytails' chapter?

Q2. Which mathematical concept is reinforced by comparing the number of children with different hairstyles?

Q3. If a student counts 5 names ending with 'a' and 3 names ending with 'b', how many more names end with 'a'?

Q4. What is the purpose of asking friends to write their names?

Frequently asked questions

What is Chapter 15 of Class 2 Mathematics about?

Chapter 15, 'How Many Ponytails,' focuses on developing observational skills and basic data handling by counting and comparing information from the classroom, such as names and hairstyles.

How do these NCERT Solutions help Class 2 students?

These solutions provide clear, step-by-step guidance for each question, helping students understand how to collect data, count accurately, and compare numbers, which is essential for their learning and exam preparation.

What kind of data is collected in this chapter?

The chapter involves collecting data from classmates, such as the letters their names end with, the letters their names start with, and different ways they comb their hair.

Are the answers in this chapter fixed?

No, the answers for many questions in this chapter depend on the specific observations made by each student in their own class, as it involves personal data collection.

Important links

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