Odd and Even Numbers Worksheets with Answers for 1st Grade

Master odd and even numbers: definition, identification, grouping, and practical exercises through these 10 detailed worksheets with solutions.

Solution: Exercises 1 to 3
1 Identifying Even Numbers
Exercise 1
Circle the even numbers: 2, 5, 8, 11, 14, 17, 20
Definition:

Even numbers: Numbers that can be divided by 2 without remainder. They end in 0, 2, 4, 6, or 8.

Identification method:
  1. Look at the last digit of the number
  2. If it ends in 0, 2, 4, 6, or 8, it's even
  3. If it ends in 1, 3, 5, 7, or 9, it's odd
Numbers to check
2, 5, 8, 11, 14, 17, 20
Even numbers
2, 8, 14, 20
Step 1: Check each number

2 ends in 2 → even, 5 ends in 5 → odd, 8 ends in 8 → even

Step 2: Continue checking

11 ends in 1 → odd, 14 ends in 4 → even, 17 ends in 7 → odd, 20 ends in 0 → even

Step 3: List even numbers

Even numbers: 2, 8, 14, 20

2
5
8
11
14
17
20
Final answer:

The even numbers are: 2, 8, 14, 20

Applied rules:

• Even rule: Numbers ending in 0, 2, 4, 6, or 8 are even

• Odd rule: Numbers ending in 1, 3, 5, 7, or 9 are odd

• Division: Even numbers can be divided by 2 without remainder

2 Identifying Odd Numbers
Exercise 2
Circle the odd numbers: 3, 6, 9, 12, 15, 18, 21
Definition:

Odd numbers: Numbers that cannot be divided by 2 without remainder. They end in 1, 3, 5, 7, or 9.

Numbers to check
3, 6, 9, 12, 15, 18, 21
Odd numbers
3, 9, 15, 21
Step 1: Check each number

3 ends in 3 → odd, 6 ends in 6 → even, 9 ends in 9 → odd

Step 2: Continue checking

12 ends in 2 → even, 15 ends in 5 → odd, 18 ends in 8 → even, 21 ends in 1 → odd

Step 3: List odd numbers

Odd numbers: 3, 9, 15, 21

3
6
9
12
15
18
21
Final answer:

The odd numbers are: 3, 9, 15, 21

Applied rules:

• Odd rule: Numbers ending in 1, 3, 5, 7, or 9 are odd

• Division: Odd numbers have a remainder when divided by 2

• Grouping: Odd numbers cannot be grouped into pairs without one left over

3 Sorting Numbers
Exercise 3
Sort these numbers into even and odd: 1, 4, 7, 10, 13, 16, 19
Definition:

Sorting: Organizing numbers based on whether they are divisible by 2 (even) or not (odd).

Original numbers
1, 4, 7, 10, 13, 16, 19
Even numbers
4, 10, 16
Odd numbers
1, 7, 13, 19
Step 1: Check each number

1 ends in 1 → odd, 4 ends in 4 → even, 7 ends in 7 → odd

Step 2: Continue checking

10 ends in 0 → even, 13 ends in 3 → odd, 16 ends in 6 → even, 19 ends in 9 → odd

Step 3: Sort into groups

Even: 4, 10, 16 | Odd: 1, 7, 13, 19

1
4
7
10
13
16
19
Final answer:

Even: 4, 10, 16 | Odd: 1, 7, 13, 19

Applied rules:

• Sorting: Categorize numbers based on divisibility by 2

• Last digit rule: Check the final digit to determine even/odd

• Organization: Group numbers systematically for better understanding

Solution: Exercises 4 to 6
4 Grouping Objects
Exercise 4
If you have 8 apples, can you make equal groups of 2? Is 8 even or odd?
Definition:

Grouping: Dividing objects into equal sets helps identify even numbers (can be grouped evenly) vs odd numbers (one object left over).

Total apples
8
Groups of 2
4 groups
Remainder
0
Step 1: Count total apples

We have 8 apples to group into sets of 2

Step 2: Form groups of 2

Group 1: 2 apples, Group 2: 2 apples, Group 3: 2 apples, Group 4: 2 apples

Step 3: Check for remainder

8 ÷ 2 = 4 groups with 0 remainder

A
A
A
A
A
A
A
A

All 8 apples form 4 pairs with none left over.

Final answer:

Yes, you can make 4 equal groups of 2. Since 8 can be divided by 2 without remainder, 8 is an even number.

Applied rules:

• Grouping rule: Even numbers can be grouped into pairs without leftovers

• Division rule: Even numbers divide evenly by 2

• Remainder rule: If remainder is 0, the number is even

5 Sharing Objects
Exercise 5
If you have 7 candies and want to share equally between 2 friends, will there be any left over? Is 7 even or odd?
Definition:

Sharing: When sharing objects equally between 2 people, even numbers divide perfectly while odd numbers leave a remainder.

Total candies
7
Each friend gets
3 candies
Left over
1 candy
Step 1: Count total candies

We have 7 candies to share between 2 friends

Step 2: Distribute equally

Friend 1 gets 3, Friend 2 gets 3, leaving 1 candy remaining

Step 3: Determine even/odd

7 ÷ 2 = 3 with remainder 1, so 7 is odd

C
C
C
C
C
C
C

6 candies form 3 pairs, but 1 candy is left over.

Final answer:

Yes, there will be 1 candy left over. Since 7 cannot be divided by 2 without remainder, 7 is an odd number.

Applied rules:

• Sharing rule: Odd numbers leave a remainder when divided by 2

• Pairing rule: One object remains unpaired in odd numbers

• Division rule: Odd numbers have a remainder of 1 when divided by 2

6 Coloring Pattern
Exercise 6
Color even numbers blue and odd numbers red: 10, 11, 12, 13, 14, 15, 16, 17
Definition:

Pattern recognition: Alternating even and odd numbers create a predictable pattern that helps with number sense.

Numbers
10, 11, 12, 13, 14, 15, 16, 17
Even (blue)
10, 12, 14, 16
Odd (red)
11, 13, 15, 17
Step 1: Identify each number

10 ends in 0 → even (blue), 11 ends in 1 → odd (red), 12 ends in 2 → even (blue)

Step 2: Continue pattern

13 ends in 3 → odd (red), 14 ends in 4 → even (blue), 15 ends in 5 → odd (red)

Step 3: Complete pattern

16 ends in 6 → even (blue), 17 ends in 7 → odd (red)

10
11
12
13
14
15
16
17
Final answer:

Blue (even): 10, 12, 14, 16 | Red (odd): 11, 13, 15, 17

Applied rules:

• Pattern rule: Even and odd numbers alternate in counting sequence

• Visual rule: Color-coding helps recognize number patterns

• Sequence rule: Every other number alternates between even and odd

Solution: Exercises 7 to 10
7 Time and Even/Odd
Exercise 7
If the hour hand is at 4 o'clock, is the hour even or odd? What about 5 o'clock?
Definition:

Real-world application: Connecting odd/even numbers to familiar contexts like time helps reinforce the concept.

4 o'clock
Even
5 o'clock
Odd
Step 1: Check 4 o'clock

Number 4 ends in 4 → even number

Step 2: Check 5 o'clock

Number 5 ends in 5 → odd number

Step 3: Verify with division

4 ÷ 2 = 2 (no remainder), 5 ÷ 2 = 2 remainder 1

4
5
Final answer:

4 o'clock is an even hour. 5 o'clock is an odd hour.

Applied rules:

• Application rule: Odd/even concepts apply to everyday situations

• Time rule: Hour numbers follow the same even/odd classification

• Context rule: Real-world examples strengthen number sense

8 Counting Sequence
Exercise 8
Write the next 3 even numbers after 14: __, __, __
Definition:

Number sequence: Even numbers increase by 2 (2, 4, 6, 8...) forming an arithmetic sequence with common difference of 2.

Starting number
14
Next 3 evens
16, 18, 20
Step 1: Identify the pattern

Even numbers increase by 2: ..., 10, 12, 14, 16, 18, 20, ...

Step 2: Add 2 to get next even

14 + 2 = 16 (even)

Step 3: Continue pattern

16 + 2 = 18 (even), 18 + 2 = 20 (even)

14
16
18
20
Final answer:

The next 3 even numbers after 14 are: 16, 18, 20

Applied rules:

• Sequence rule: Even numbers differ by 2

• Addition rule: Add 2 to find the next even number

• Pattern rule: Even numbers form an arithmetic sequence

9 Dice Game
Exercise 9
If you roll a die and get 3, is your score even or odd? What if you roll a 6?
Definition:

Game application: Using games and activities makes learning about odd/even numbers engaging and memorable.

Roll 3
Odd
Roll 6
Even
Step 1: Check roll of 3

Number 3 ends in 3 → odd number

Step 2: Check roll of 6

Number 6 ends in 6 → even number

Step 3: Verify with grouping

3 objects: 1 pair + 1 left over (odd), 6 objects: 3 pairs (even)

3
6
Final answer:

A roll of 3 gives an odd score. A roll of 6 gives an even score.

Applied rules:

• Game rule: Dice results can be classified as odd or even

• Classification rule: Each number has a fixed odd/even status

• Engagement rule: Games make learning concepts fun and effective

10 Addition Patterns
Exercise 10
What happens when you add two even numbers? Try: 4 + 6 = ?
Definition:

Operation patterns: Adding even numbers always results in an even number due to their mathematical properties.

Addition
4 + 6 = 10
Result
Even
Step 1: Add the numbers

4 + 6 = 10

Step 2: Check if result is even

10 ends in 0 → even number

Step 3: Verify pattern

Both 4 and 6 are even, and their sum 10 is also even

4
+
6
=
10
Final answer:

When you add two even numbers, the result is always even. 4 + 6 = 10, which is even.

Applied rules:

• Addition rule: Even + Even = Even

• Pattern rule: Operations preserve even/odd properties

• Property rule: Even numbers maintain their divisibility by 2 under addition

Rules and methods, laws,...
Even: n ÷ 2 = whole number
Even Numbers
Definition
Even
Divisible by 2
Definition
Odd
Not divisible by 2
Pattern
..., 2, 4, 6, 8, ...
Even sequence
Even Numbers

Examples: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Rule: End in 0, 2, 4, 6, or 8

Grouping: Can form pairs without remainder

●
●
●
●

4 items form 2 pairs (no remainder)

Odd Numbers

Examples: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19

Rule: End in 1, 3, 5, 7, or 9

Grouping: One item left over after pairing

●
●
●
●
●

5 items form 2 pairs + 1 left over

Odd: n ÷ 2 = remainder 1
Odd Numbers
Addition Rule
Even + Even = Even
Always
Addition Rule
Odd + Odd = Even
Always
Addition Rule
Even + Odd = Odd
Always
Odd and Even Numbers Fundamentals
Even = 2n, Odd = 2n+1
Mathematical Representation
Key definitions:

Even numbers: Integers divisible by 2 with no remainder (0, 2, 4, 6, 8...)

Odd numbers: Integers that leave a remainder of 1 when divided by 2 (1, 3, 5, 7, 9...)

Divisibility: Property of being able to divide one number by another without remainder

Complete methodology:
  1. Identify the number: Look at the last digit (units place)
  2. Apply the rule: If last digit is 0,2,4,6,8 → even; if 1,3,5,7,9 → odd
  3. Verify by division: Divide by 2 to check for remainder
  4. Confirm with grouping: See if objects can be paired without remainder
Tip 1: Remember: Even numbers "end nicely" (0,2,4,6,8) while odd numbers "don't end nicely" (1,3,5,7,9).
Tip 2: You can always check by trying to pair objects - even numbers pair up perfectly.
Tip 3: The pattern alternates: even, odd, even, odd, ... in counting order.
Tip 4: Zero is considered an even number (0÷2=0 with no remainder).
Common errors: Forgetting that 0 is even, misidentifying large numbers by not checking last digit, confusing even/odd with greater/less.
Key insight: Only the last digit matters for determining even/odd status, regardless of how large the number is.
Essential rules to remember:

• Ending digits: Even numbers end in 0,2,4,6,8; odd numbers end in 1,3,5,7,9

• Division test: Even numbers divide by 2 with 0 remainder; odd numbers have remainder 1

• Pairing test: Even numbers can be grouped in pairs; odd numbers leave one unpaired

• Alternating pattern: In counting order, even and odd numbers alternate

• Addition patterns: Even+Even=Even, Odd+Odd=Even, Even+Odd=Odd

Questions & Answers

Question: My child is struggling to understand why zero is considered an even number. How can I explain this concept simply?

Answer: Great question! Zero is indeed even, and here's a simple explanation for a 1st grader:

  • Zero means "nothing" - there are no objects to count
  • Since there are no objects, there's nothing to be "left over" when pairing
  • We can divide 0 by 2 and get 0 with no remainder: 0 ÷ 2 = 0 remainder 0
  • Think of it as the starting point that begins our even number pattern: 0, 2, 4, 6, 8...

You can demonstrate with objects: if you have zero cookies and try to make pairs, there are no cookies left over, so zero behaves like an even number!

Question: What are some hands-on activities I can use to help my students visualize odd and even numbers?

Answer: Hands-on activities work wonderfully for this concept! Here are some effective approaches:

  • Counters pairing: Give students small objects (buttons, cubes) and have them form pairs - if one is left over, it's odd
  • Number line hops: Have students hop by 2s starting from 0 to land on even numbers
  • Coloring activity: Provide number grids where students color even numbers one color, odd numbers another
  • Body movement: Students can stand in pairs - if one person is left without a partner, the total number was odd

These tactile experiences help cement the concept that even numbers can be perfectly paired while odd numbers always leave one out.

Question: How can I quickly identify if a large number is even or odd without dividing it?

Answer: The wonderful shortcut for identifying even or odd numbers is to focus only on the last digit (the ones place)!

  • If the last digit is 0, 2, 4, 6, or 8 → the entire number is even
  • If the last digit is 1, 3, 5, 7, or 9 → the entire number is odd

This works because the divisibility by 2 depends only on the units place. Examples:

  • 1,234,567 ends in 7 → odd
  • 98,765,432 ends in 2 → even
  • 100,000 ends in 0 → even

This rule applies to numbers of any size, making it very efficient for quick identification!