CBSE Class 3 Mathematics: Fun With Numbers NCERT Solutions
This section provides comprehensive NCERT Solutions for Class 3 Mathematics, Chapter 2: Fun With Numbers. It covers essential concepts like comparing numbers, counting in tens, and understanding scores in games. Students will find detailed explanations and step-by-step solutions for various problems, including filling in blanks based on given data, calculating runs needed for a century, and identifying numbers in figures and words. These solutions are designed to help young learners grasp fundamental arithmetic skills and build confidence in solving number-based problems, making them an excellent resource for exam preparation and revision.
Quick info
| Board | CBSE |
|---|---|
| Class | Class 3 |
| Subject | Mathematics |
| Session | 2026 |
| Language | English |
| Type | NCERT Solutions |
| Chapter | 2. Fun With Numbers |
Chapter summary
Chapter 2, 'Fun With Numbers,' for Class 3 Mathematics focuses on reinforcing number sense. The NCERT Solutions cover exercises involving reading and writing numbers in figures and words, comparing quantities, and simple addition and subtraction within the context of scores and collections. It aims to build foundational skills in number manipulation and problem-solving through engaging examples.
Learning outcomes
- Understand and compare numbers up to 200.
- Read and write numbers in figures and words.
- Solve simple word problems involving addition and subtraction.
- Apply counting skills in tens.
- Interpret data presented in tables.
- Calculate the difference between scores and a target number (e.g., a century).
Topics covered
Paper topics
- Number Comparison
- Counting in Tens
- Reading and Writing Numbers (Figures and Words)
- Addition
- Subtraction
- Scores in Games
- Centuries in Cricket
- Number Patterns
Important topics
- Comparing numbers up to 200
- Writing numbers in figures and words
- Calculating runs needed for a century
- Understanding 'most' and 'least' quantities
- Counting in tens
PDF preview
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Questions and Solutions
Question 1
Name | Number of seeds collected
Radhika | 24
Gauri | 47
Sunil | 38
Indra | 54
Vicky | 42
Fill in the blanks:
(a) _______ collected the most seeds.
(b) Sunil will collect _______ more seeds to be equal to Vicky.
(c) If Radhika gets 6 more seeds, she will have _______.
(d) How many children have more than 40 seeds? _______
(e) _______ needs 3 more seeds to have 50.
(f) Sunil has 2 seeds less than 40 and _______ has 2 seeds more than 40.
Let's analyze the number of seeds collected by each child:
- Radhika: 24 seeds
- Gauri: 47 seeds
- Sunil: 38 seeds
- Indra: 54 seeds
- Vicky: 42 seeds
Now, let's fill in the blanks:
(a) To find who collected the most seeds, we compare the numbers: 24, 47, 38, 54, 42. The largest number is 54, which was collected by Indra. So, Indra collected the most seeds.
(b) Sunil collected 38 seeds and Vicky collected 42 seeds. To find how many more seeds Sunil needs to equal Vicky, we calculate the difference: 42 - 38 = 4. Sunil will collect 4 more seeds to be equal to Vicky.
(c) Radhika collected 24 seeds. If she gets 6 more seeds, she will have 24 + 6 = 30 seeds. So, she will have 30 seeds.
(d) We need to count how many children have more than 40 seeds. Let's check each child:
Radhika: 24 (not more than 40)
Gauri: 47 (more than 40)
Sunil: 38 (not more than 40)
Indra: 54 (more than 40)
Vicky: 42 (more than 40)
There are 3 children (Gauri, Indra, and Vicky) who have more than 40 seeds. So, the answer is 3.
(e) We need to find who needs 3 more seeds to reach 50. This means we are looking for a child who has 50 - 3 = 47 seeds. Gauri collected 47 seeds. So, Gauri needs 3 more seeds to have 50.
(f) Sunil has 38 seeds, which is 2 seeds less than 40 (40 - 2 = 38). We need to find who has 2 seeds more than 40, which is 40 + 2 = 42 seeds. Vicky collected 42 seeds. So, Sunil has 2 seeds less than 40 and Vicky has 2 seeds more than 40.
Question 2
1. Dhoni scored 96 + _______ = _______ runs
A century in cricket means scoring 100 runs. The problem states Dhoni scored 96 runs and asks to complete the equation to show his total runs, implying he scored a few more runs to reach a certain total. The provided answer suggests he scored 6 more runs to reach 102. Let's complete the equation based on this:
Dhoni scored 96 runs. If he scored 6 more runs, his total would be 96 + 6 = 102 runs.
So, the completed equation is: Dhoni scored 96 + 6 = 102 runs.
Question 3
Runs scored | Runs needed to complete a century
Player 1 | 93
Player 2 | 97
Player 3 | 89
Player 4 | 99
A century is 100 runs. To find out how many runs each player needs to complete a century, we subtract their current score from 100.
- Player 1: Scored 93 runs. Runs needed = 100 - 93 = 7 runs.
- Player 2: Scored 97 runs. Runs needed = 100 - 97 = 3 runs.
- Player 3: Scored 89 runs. Runs needed = 100 - 89 = 11 runs.
- Player 4: Scored 99 runs. Runs needed = 100 - 99 = 1 run.
Question 4
The table shows numbers in figures and words, from 99 up to 206.
Number (in figures) | Number (in words)
99 | Ninety-nine
100 | One hundred
101 | One hundred one
102 | One hundred Two
103 | One hundred three
104 | One hundred four
105 | One hundred five
106 | One hundred six
107 | One hundred seven
108 | One hundred eight
109 | One hundred nine
110 | One hundred ten
111 | One hundred eleven
112 | One hundred twelve
195 | One hundred ninety-five
196 | One hundred ninety-six
197 | One hundred ninety-seven
198 | One hundred ninety-eight
199 | One hundred ninety-nine
200 | Two hundred
201 | Two hundred one
202 | Two hundred two
203 | Two hundred three
204 | Two hundred four
205 | Two hundred five
206 | Two hundred six
This question provides a table with numbers written in figures and their corresponding spellings in words. The task is to fill in the blanks, which implies understanding how to read and write numbers. The table itself serves as the answer, demonstrating the correct conversion between figures and words for numbers ranging from 99 to 206.
For example:
- The number 99 in figures is written as 'Ninety-nine' in words.
- The number 100 in figures is written as 'One hundred' in words.
- The number 195 in figures is written as 'One hundred ninety-five' in words.
- The number 206 in figures is written as 'Two hundred six' in words.
The table is complete as provided, showing the correct representation of each number.
Question 5
A triple century means scoring 300 runs. The current score is 206 runs. To find out how many more runs are needed to reach 300, we subtract the current score from 300.
Runs needed = Triple century - Current score
Runs needed = 300 - 206
Calculating the difference: 300 - 206 = 94.
So, 94 more runs are needed to make a triple century.
Question 6
Player | Score
P. J. | 128
A.S. | 100
C.K. | 99
D.M. | 162
K.S.P. | 152
M. D. | 178
P. K. | 105
S. T. | 141
T. P. K. | 112
V. V. S. | 127
1. C. K. just missed his century. How many runs did he need to make a century? _______
2. _______ and _______ scored almost equal runs.
3. _______ scored a complete century, no less, no more.
4. Most runs scored by any batsman are ____
5. _______ and _______ have a difference of just 1 run between them.
6. _______ scored 2 more runs than one and a half century.
Let's analyze the scores from the table:
- P. J.: 128
- A.S.: 100
- C.K.: 99
- D.M.: 162
- K.S.P.: 152
- M. D.: 178
- P. K.: 105
- S. T.: 141
- T. P. K.: 112
- V. V. S.: 127
Now, let's answer the questions:
1. C. K. just missed his century. How many runs did he need to make a century?
A century is 100 runs. C.K. scored 99 runs. Runs needed = 100 - 99 = 1 run. So, C.K. needed 1 run.
2. _______ and _______ scored almost equal runs.
We look for scores that are very close to each other. Let's examine the scores: 100, 99, 105, 112, 127, 128. The scores 100 (A.S.) and 99 (C.K.) are very close. Also, 127 (V.V.S.) and 128 (P.J.) are very close. The provided answer suggests A.S. and C.K. or A.P.J. and V.V.S. (assuming A.P.J. is a typo for P.J.). Let's use A.S. (100) and C.K. (99) as they are closest. Another pair is P.J. (128) and V.V.S. (127). The answer key mentions A.S. and C.K. or A.P.J. and V.V.S. Let's list A.S. (100) and C.K. (99) as one pair, and P.J. (128) and V.V.S. (127) as another pair.
3. _______ scored a complete century, no less, no more.
A complete century means exactly 100 runs. Looking at the scores, A.S. scored exactly 100 runs. So, A.S. scored a complete century.
4. Most runs scored by any batsman are ____
We need to find the highest score in the table. Comparing all scores: 128, 100, 99, 162, 152, 178, 105, 141, 112, 127. The highest score is 178, scored by M. D. So, the most runs scored are 178.
5. _______ and _______ have a difference of just 1 run between them.
We look for pairs of scores with a difference of 1. From question 2, we identified A.S. (100) and C.K. (99) have a difference of 1. Also, P.J. (128) and V.V.S. (127) have a difference of 1. The answer key mentions A.S. and C.K. or A.P.J. and V.V.S. Let's list A.S. (100) and C.K. (99), and P.J. (128) and V.V.S. (127).
6. _______ scored 2 more runs than one and a half century.
One and a half century is 100 + 50 = 150 runs. We need to find a score that is 2 more than 150, which is 150 + 2 = 152 runs. Looking at the table, K.S.P. scored 152 runs. So, K.S.P. scored 2 more runs than one and a half century.
Question 7
This section appears to be a heading for an exercise that is not fully provided in the source text.
The provided source text includes the heading "Fill in the blanks (Counting in 10's)" but does not contain the actual questions or data for this exercise. Therefore, it is not possible to provide a solution for this part based on the given information.
Common mistakes
- Errors in comparing numbers, especially when determining 'most' or 'least'.
- Miscounting when calculating the difference to reach a specific number.
- Difficulty in converting numbers between figures and words.
- Incorrectly identifying numbers based on proximity (e.g., '2 more than' or '3 less than').
Revision tips
- Practice reading and writing numbers in words for all numbers covered in the chapter.
- Use the provided data tables to create your own comparison questions.
- Work through the 'runs needed for a century' problems to reinforce subtraction skills.
- Try to explain the logic behind each step in the solutions to a friend or family member.
Practice MCQs
Q1. Who collected the most seeds among Radhika, Gauri, Vicky, Indra, and Sunil?
Explanation: Indra collected 54 seeds, which is the highest number among all the children listed.
Q2. How many more seeds did Sunil need to collect to equal Vicky's collection of 42 seeds, if Sunil had 38?
Explanation: The difference between Vicky's 42 seeds and Sunil's 38 seeds is 42 - 38 = 4 seeds.
Q3. If Dhoni scored 96 runs, how many more runs did he need to score exactly 100?
Explanation: To reach 100 runs from 96, Dhoni needed 100 - 96 = 4 more runs.
Q4. Which player scored exactly a century (100 runs)?
Explanation: Player 4 scored 99 runs. The question asks who scored a complete century, no less, no more. The provided answer key indicates A.S. scored 100, which corresponds to Player 4 in this context if we assume the table is related to the 'Top Tea Scores' section.
Q5. What is 'one and a half century' in terms of runs?
Explanation: A century is 100 runs. Half a century is 50 runs. One and a half centuries is 100 + 50 = 150 runs.
Frequently asked questions
What is the main focus of the 'Fun With Numbers' chapter for Class 3 Maths?
The chapter focuses on developing number sense, including comparing numbers, reading and writing numbers in figures and words, and solving simple problems involving counting and basic arithmetic.
How do these NCERT Solutions help students?
These solutions provide clear, step-by-step explanations for each question, helping students understand the methods used to solve problems and reinforcing their learning for better exam preparation.
What kind of problems are covered in the 'Fun With Numbers' chapter?
The chapter includes problems related to collecting seeds, calculating cricket scores (runs needed for a century), and understanding numbers in figures and words.
Are the questions in the solutions exactly the same as in the NCERT textbook?
Yes, the questions are kept the same in terms of numbers and the problem being asked. The wording might be expanded for clarity, but the core question remains identical.
How are mathematical expressions handled in the solutions?
Mathematical expressions, equations, and symbols from the original questions are preserved exactly. Only the surrounding explanatory text is rewritten for better understanding.
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