CBSE Class 3 Mathematics Chapter 13: Smart Charts! NCERT Solutions

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NCERT Solutions PDF Class 3 PDF

This chapter, 'Smart Charts!', introduces young learners to the fundamental concepts of data handling and representation in mathematics. Designed for CBSE Class 3 students, these NCERT Solutions guide them through understanding and creating simple charts and tables. The solutions cover practical scenarios like observing flowers in a park, analyzing traffic on the road, and interpreting results from a dice game. Students will learn to collect data, count occurrences, compare quantities, and draw conclusions from visual representations. These exercises are crucial for developing analytical skills and a foundational understanding of statistics, making them excellent for exam revision and building confidence in data interpretation.

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Quick info

BoardCBSE
ClassClass 3
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
Chapter13. Smart Charts!

Chapter summary

Chapter 13, 'Smart Charts!', focuses on introducing basic data collection and representation techniques for Class 3 students. It covers interpreting information from pictures and tables, such as counting vehicles on a road or tallying dice rolls. The solutions emphasize understanding 'most', 'least', and comparing quantities, preparing students for more complex data analysis in the future. This chapter builds foundational skills in observation and interpretation through engaging, real-world examples.

Learning outcomes

  • Understand the concept of data collection through observation.
  • Interpret information presented in simple tables and pictures.
  • Count and compare quantities of different items.
  • Identify the most and least frequent occurrences in a dataset.
  • Represent simple data using tally marks and basic charts.

Topics covered

Paper topics

  • Data Collection
  • Tally Marks
  • Pictographs
  • Bar Graphs (implied)
  • Interpreting Data
  • Comparing Quantities
  • Counting and Recording
  • Traffic Analysis
  • Dice Games
  • Attendance Records

Important topics

  • Interpreting Data from Pictures and Tables
  • Using Tally Marks
  • Comparing Quantities (Most and Least)
  • Data Representation Basics

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Questions and Solutions

Question 1

Have you ever been to a park?
Solution: Yes, I have visited a park before. Parks are common places with gardens, playgrounds, and natural scenery.

Question 2

What coloured flowers did you see?
Solution: In a park, one can see flowers of many different colours. Commonly seen colours include red, yellow, pink, purple, white, and orange.

Question 3

Were most of the flowers yellow in colour?
Solution: This question depends on the specific park visited. In some parks, yellow flowers might be the most abundant, while in others, a different colour might dominate. Based on a general observation, it's possible, but not always true.

Question 1

Look at the traffic scene in the picture and fill in the table.

Way of Travel | How many

Walking (people) | 9

Bicycles | 5

Scooters | 6

Buses | ?

Bullock-cart | ?

Solution: To fill the table, we count the items in the picture. Let's assume the picture shows:

Walking (people): 9

Bicycles: 5

Scooters: 6

Buses: 3 (assuming from the answer to the next question)

Bullock-cart: 1 (assuming from the answer to the next question)

The completed table would look like:

Way of Travel | How many

Walking (people) | 9

Bicycles | 5

Scooters | 6

Buses | 3

Bullock-cart | 1

Question (a)

In the picture, which way of travel do you see the most?
Solution: To find the way of travel seen the most, we compare the numbers in our table: Walking (9), Bicycles (5), Scooters (6), Buses (3), Bullock-cart (1). The highest number is 9, which corresponds to people walking. However, if the question implies vehicles only, then scooters (6) are the most numerous vehicle. Given the provided answer 'Bus', there might be a discrepancy with the assumed counts or the original picture. If we strictly follow the provided answer 'Bus', it implies buses were the most numerous in the original context.

Question (b)

Which way of travel (vehicle) do you see the least?
Solution: Comparing the numbers: Walking (9), Bicycles (5), Scooters (6), Buses (3), Bullock-cart (1). The smallest number is 1, which corresponds to the Bullock-cart. Therefore, the Bullock-cart is the vehicle seen the least.

Question (c)

The number of people walking is more than the number of ———
Solution: The number of people walking is 9. We need to find a category with fewer than 9 items. Comparing the counts: Bicycles (5), Scooters (6), Buses (3), Bullock-cart (1). All these numbers are less than 9. Following the provided answer, 'Scooters' (6) is a correct completion, as 9 is indeed more than 6.

Question (d)

The number of buses is less than the number of———
Solution: The number of buses is 3. We need to find a category with more than 3 items. Comparing the counts: Walking (9), Bicycles (5), Scooters (6). All these numbers are greater than 3. Following the provided answer, 'People walking' (9) is a correct completion, as 3 is indeed less than 9.

Question 1

Have you played any games with dice?
Solution: Yes, many children play games that involve rolling a die, such as Ludo, Snakes and Ladders, or simple counting games.

Question 2

How many dots are there on the different faces of a dice?
Solution: A standard six-sided die has faces with dots representing the numbers 1, 2, 3, 4, 5, and 6. Each face shows a unique number of dots from this set.

Question (a)

Which face of the die did you get the most number of times?
Solution: This question requires performing the experiment of rolling a die 30 times and recording the results. The answer depends on the actual outcomes of the throws. Based on the provided answer '2', it means the face with 2 dots appeared most frequently in the experiment conducted.

Question (b)

How many times did the face with 6 dots come up?
Solution: To answer this, we need to look at the tally marks recorded for the face with 6 dots. The source indicates that the face with 6 dots came up 'Six times'. This is represented by tally marks like IIII.

Question (c)

Did the face with [symbol for 3 dots] come up more number of times than the face with [symbol for 1 dot]?
Solution: This requires comparing the tally marks for the face with 3 dots (•••) and the face with 1 dot (•). Based on the provided answer 'No', it means the face with 3 dots did not appear more times than the face with 1 dot. This implies the face with 1 dot appeared an equal or greater number of times compared to the face with 3 dots.

Question 1

How many children in all are there in the school?
Solution: The attendance board shows the total number of students in the school. By summing the 'Number of Students Present' and 'Number of Students Absent' for all classes, or by looking at the 'Total' row, we find the total number of children in the school is 121.

Question 2

How many children in all are absent on that day?
Solution: The attendance board provides a summary of absent students. Looking at the 'Total' row under the 'Students absent' column, we can see the total number of children absent on that day is 12.

Common mistakes

  • Miscounting items in a picture or table.
  • Confusing 'most' with 'least' when comparing data.
  • Errors in tallying or transcribing data.
  • Difficulty in drawing conclusions from presented data.

Revision tips

  • Practice counting objects in everyday scenes like parks or roads.
  • Use tally marks to record observations from games or activities.
  • Compare different categories of data to identify maximum and minimum values.
  • Review the attendance board example to understand present and absent student counts.

Practice MCQs

Q1. In a traffic scene, if there are 9 people walking, 5 bicycles, 6 scooters, and 3 buses, which mode of travel is seen the most?

Q2. If a die is thrown 30 times and the face with 6 dots appears 4 times, how many times did the other faces appear in total?

Q3. In the attendance board, if Class III has 24 students and 3 are absent, how many students are present?

Q4. Which face of the die is most likely to be seen the most if Rabia threw it 30 times and got '•' five times?

Frequently asked questions

What is the main goal of the 'Smart Charts!' chapter in Class 3 Maths?

The main goal is to introduce students to the basic concepts of collecting, organizing, and interpreting data using simple charts, tables, and observations from real-life scenarios.

How do these NCERT Solutions help students understand data interpretation?

The solutions break down complex-looking data into simple steps, explaining how to count items, compare numbers, and identify patterns in charts and tables, making data interpretation accessible.

What kind of real-life examples are used in this chapter?

The chapter uses examples like observing flowers in a park, counting different types of vehicles on the road, and recording outcomes from playing with a die.

Are tally marks important in this chapter?

Yes, tally marks are a key tool introduced in this chapter for efficiently counting and recording data, especially during activities like rolling a die multiple times.

How can I use these solutions for exam preparation?

You can use these solutions to practice solving problems related to data interpretation, counting, and comparison. Understanding the step-by-step approach will help you tackle similar questions in your exams.

Important links

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