Mathematics

Even and Odd Numbers

Class 4 | CBSE / NCERT / ICSE

🎯 Learning Objectives

Review the rules for identifying even and odd numbers.
Discover what happens when we add two even numbers, two odd numbers, or one even and one odd number.
Discover what happens when we multiply even and odd numbers.
Understand that zero is an even number.
Sort numbers and find patterns using even and odd properties.

📖 Let Us Begin!

In Class 3, you learned that numbers ending in 0, 2, 4, 6, or 8 are even, and numbers ending in 1, 3, 5, 7, or 9 are odd. Now in Class 4, we will explore what happens when we add or multiply even and odd numbers. These rules will help you check your answers quickly and spot patterns in number puzzles.

Image: A number line from 1-20 with even numbers circled in blue and odd numbers circled in red.
Title: Even and Odd Numbers

Quick Review -- Even and Odd

A number is even if it can be divided into two equal groups with nothing left over. It is exactly divisible by 2.

A number is odd if dividing it by 2 leaves a remainder of 1.

Zero is even because 0 divided by 2 = 0 with no remainder.

Think: Is the number of players in a cricket team (11) even or odd?

Rules for Addition

Addition Rule	Result	Example
Even + Even	Even	12 + 8 = 20 (even)
Odd + Odd	Even	7 + 5 = 12 (even)
Even + Odd	Odd	6 + 3 = 9 (odd)

Example

Example 1: Ravi has 14 marbles and Priya has 8 marbles. Is the total even or odd?

14 is even, 8 is even. Even + Even = Even. Total = 14 + 8 = 22 (even).

Example

Example 2: Anu scored 15 runs and Meena scored 9 runs. Is the total even or odd?

15 is odd, 9 is odd. Odd + Odd = Even. Total = 15 + 9 = 24 (even).

Think: If you add three odd numbers, will the result be even or odd?

Rules for Multiplication

Multiplication Rule	Result	Example
Even x Even	Even	4 x 6 = 24 (even)
Even x Odd	Even	2 x 7 = 14 (even)
Odd x Odd	Odd	3 x 5 = 15 (odd)

Key idea: Whenever at least one number is even, the product is always even. The product is odd only when both numbers are odd.

Example

Example 3: A classroom has 6 rows with 5 chairs in each row. Is the total number of chairs even or odd?

6 is even, 5 is odd. Even x Odd = Even. Total = 6 x 5 = 30 (even).

📝 Key Words

Word	Meaning
Even Number	A number exactly divisible by 2 (ends in 0, 2, 4, 6, or 8)
Odd Number	A number that leaves remainder 1 when divided by 2 (ends in 1, 3, 5, 7, or 9)
Sum	The result of adding two or more numbers
Product	The result of multiplying two or more numbers
Remainder	The amount left over after division

⭐ Key Points to Remember

Even numbers end in 0, 2, 4, 6, or 8. Odd numbers end in 1, 3, 5, 7, or 9.
Zero is an even number.
Even + Even = Even. Odd + Odd = Even. Even + Odd = Odd.
Even x Any number = Even. Odd x Odd = Odd.
To check if a large number is even or odd, look only at the last digit.

Finished learning? Now test what you know!

🎯 Quick Quiz — Test Yourself!

Answer these 8 questions about even and odd numbers. Read each one carefully and pick the best answer!

Score: 0 / 8

1. Which of these is an even number?

Even numbers end in 0, 2, 4, 6, or 8. So 8 is even.

2. Which of these is an odd number?

Odd numbers end in 1, 3, 5, 7, or 9. So 13 is odd.

3. Is the number 0 (zero) even or odd?

Zero is an even number.

4. Even + Even = ?

Even + Even = Even. For example, 2 + 4 = 6.

5. Odd + Odd = ?

Odd + Odd = Even. For example, 3 + 5 = 8.

6. To check if a large number like 4,738 is even or odd, you look at its...

Look only at the last digit. 4,738 ends in 8, so it is even.

7. Is 4,738 even or odd?

4,738 ends in 8, so it is even.

8. Is the number 25 even or odd? (write even or odd)

25 ends in 5, so it is odd.

✏️ Practice Questions

A. Fill in the Blanks

1. A number that is exactly divisible by 2 is called an number.

2. Even + Odd =

3. Odd + Odd =

4. Even x Odd =

5. Zero is an number.

B. Sort the Numbers

Sort these numbers into Even and Odd: 47, 120, 333, 508, 61, 0, 275, 1000

Even Numbers	Odd Numbers

C. Predict Even or Odd (Do Not Calculate)

1. 24 + 36 = (even / odd)

2. 13 + 27 = (even / odd)

3. 18 + 5 = (even / odd)

4. 9 x 7 = (even / odd)

5. 8 x 11 = (even / odd)

D. Multiple Choice Questions

1. What is the sum of two odd numbers?

(a) Always odd(b) Always even(c) Sometimes odd(d) Cannot tell

2. Which of the following is an even number?

(a) 371(b) 999(c) 450(d) 123

3. Odd x Odd gives:

(a) Even(b) Odd(c) Zero(d) Cannot tell

E. Pattern Questions

1. Write the next three even numbers after 96: , ,

2. Write the next three odd numbers after 149: , ,

3. Aman says, "If I add 4 odd numbers, the answer is always even." Is he correct? Explain.

🎨 Fun Activity -- Even-Odd Number Hunt

Look at the house numbers on your street or the jersey numbers of your favourite cricket players. Write down 5 numbers you find and sort them into even and odd.

Number Found	Even or Odd?	Where Did You Find It?

Want to review the lesson again?

🎯 Learning Objectives

Review rules for identifying even and odd numbers.
Discover addition rules for even and odd numbers.
Discover multiplication rules for even and odd numbers.
Understand that zero is an even number.
Sort numbers and find patterns using even/odd properties.

📖 Introduction

Numbers ending in 0, 2, 4, 6, or 8 are even. Numbers ending in 1, 3, 5, 7, or 9 are odd. In Class 4, we explore what happens when we add or multiply even and odd numbers.

[Image: Even and Odd Numbers — A number line from 1-20 with even numbers circled in blue and odd numbers circled in red]

Quick Review

Even: Divisible by 2, no remainder. Odd: Remainder 1 when divided by 2. Zero is even.

Rules for Addition

Rule	Result	Example
Even + Even	Even	12 + 8 = 20
Odd + Odd	Even	7 + 5 = 12
Even + Odd	Odd	6 + 3 = 9

Ex 1: 14 (even) + 8 (even) = 22 (even). Ex 2: 15 (odd) + 9 (odd) = 24 (even).

Rules for Multiplication

Rule	Result	Example
Even × Even	Even	4 × 6 = 24
Even × Odd	Even	2 × 7 = 14
Odd × Odd	Odd	3 × 5 = 15

Key idea: If at least one number is even, the product is even. Product is odd only when both are odd.

Key Words

Word	Meaning
Even Number	Divisible by 2 (ends in 0, 2, 4, 6, 8)
Odd Number	Remainder 1 when ÷ 2 (ends in 1, 3, 5, 7, 9)
Sum	Result of addition
Product	Result of multiplication
Remainder	Amount left over after division

⭐ Key Points to Remember

Even numbers end in 0, 2, 4, 6, or 8. Odd numbers end in 1, 3, 5, 7, or 9.
Zero is an even number.
Even + Even = Even. Odd + Odd = Even. Even + Odd = Odd.
Even × Any = Even. Odd × Odd = Odd.
To check if a large number is even or odd, look only at the last digit.

A. Fill in the Blanks

1. A number exactly divisible by 2 is called an number.

2. Even + Odd =

3. Odd + Odd =

4. Even × Odd =

5. Zero is an number.

B. Sort the Numbers

Sort: 47, 120, 333, 508, 61, 0, 275, 1000

Even Numbers	Odd Numbers

C. Predict Even or Odd (Do Not Calculate)

1. 24 + 36 = (even / odd)

2. 13 + 27 = (even / odd)

3. 18 + 5 = (even / odd)

4. 9 × 7 = (even / odd)

5. 8 × 11 = (even / odd)

D. Multiple Choice Questions

1. What is the sum of two odd numbers?

(a) Always odd(b) Always even(c) Sometimes odd(d) Cannot tell

2. Which is an even number?

(a) 371(b) 999(c) 450(d) 123

3. Odd × Odd gives:

(a) Even(b) Odd(c) Zero(d) Cannot tell

E. Pattern Questions

1. Next three even numbers after 96: , ,

2. Next three odd numbers after 149: , ,

3. Aman says, "If I add 4 odd numbers, the answer is always even." Is he correct? Explain.

🎨 Activity — Even-Odd Number Hunt

Find 5 numbers (house numbers, jersey numbers) and sort them.

Number	Even/Odd?	Where Found?

You are viewing the Worksheet layout. Click Print to save as PDF or print on A4 paper.

Even and Odd Numbers

🎯 Learning Objectives

📖 Let Us Begin!

Quick Review -- Even and Odd

Rules for Addition

Rules for Multiplication

📝 Key Words

🎯 Quick Quiz — Test Yourself!

✏️ Practice Questions

Even and Odd Numbers

Even and Odd Numbers (continued)