Section 1: Understanding Even and Odd Numbers

1. Define an even number. Provide two examples.

   • A number is divisible by 2 without a remainder. Examples: 2, 4.

2. Define an odd number. Provide two examples.

   • A number that leaves a remainder of 1 when divided by 2. Examples: 3, 5.

3. Identify whether the following numbers are even or odd:

   • 7 → Odd

   • 12 → Even

   • 45 → Odd

   • 88 → Even

   • 101 → Odd

Section 2: Fill in the Blanks

4. The number 16 is even.

5. 27 is odd.

6. A number that ends in 0, 2, 4, 6, or 8 is always even.

7. A number that ends in 1, 3, 5, 7, or 9 is always odd.

Section 3: True or False

8. All numbers divisible by 2 are even. → True

9. The sum of two odd numbers is always even. → True

10. Adding an even number to an odd number always gives an odd result. → True

Section 4: Patterns and Problem Solving

11. Write the next five even numbers after 20.

    • 22, 24, 26, 28, 30

12. Write the next five odd numbers after 31.

    • 33, 35, 37, 39, 41

13. If xxx is an odd number, what is x+2x + 2x+2?

    • x+2x + 2x+2 is odd.

14. If yyy is an even number, what is y−1y - 1y−1?

    • y−1y - 1y−1 is odd.

Section 5: Advanced Questions

15. What is the smallest even number?

    • 0

16. What is the smallest odd number?

    • 1

17. If the product of two numbers is 36, can both numbers be odd? Explain your answer.

    • No, because the product of two odd numbers is always odd.

18. Identify whether the sum and product of 9 and 4 are even or odd.

    • Sum (9 + 4 = 13): Odd

    • Product (9 × 4 = 36): Even

Section 6: Word Problems

19. Lily has 12 apples, and she wants to divide them equally between 2 baskets. Will each basket have an even or odd number of apples?

    • Even, because 12 ÷ 2 = 6.

20. Jack has 15 marbles. He gives 3 marbles to each of his 5 friends. After dividing them, are the marbles left with Jack even or odd?

    • Jack has no marbles left. Even (0).

End of Answer Key

Questions

Answer Key: Even and odd numbers