📘 CLASS 6 MATHS CHAPTER 3 – PLAYING WITH NUMBERS🌟 3.3 PRIME AND COMPOSITE NUMBERS (Worksheet)

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🌟 QUICK CHAPTER NOTES

🔹 Prime Numbers

A prime number has exactly 2 factors:
👉 1 and the number itself

✅ Examples

2, 3, 5, 7, 11, 13…

⭐ Important Points

  • 2 is the only even prime number
  • All other primes are odd numbers

🔹 Composite Numbers

A composite number has more than 2 factors

✅ Examples

4, 6, 8, 9, 10, 12…

🔹 Special Case

👉 1 is neither prime nor composite

🔹 Key Understanding

  • Prime = cannot be broken into smaller factors
  • Composite = can be broken into smaller factors

🔹 How to Check Prime?

👉 Check divisibility from 2 up to √number (basic level: try small numbers)

📝 WORKSHEET – PRIME & COMPOSITE NUMBERS

🔹 SECTION A (Very Short Answer)

  1. Write first 5 prime numbers.
  2. Write first 5 composite numbers.
  3. Is 1 a prime number?
  4. Smallest prime number
  5. Smallest composite number
  6. Is 2 prime or composite?
  7. Is 9 prime or composite?
  8. Write any two prime numbers.
  9. Write any two composite numbers.
  10. How many factors does a prime number have?

🔹 SECTION B (Identify Prime/Composite)

  1. 13
  2. 15
  3. 17
  4. 21
  5. 23
  6. 25
  7. 29
  8. 33
  9. 37
  10. 39

👉 Write whether each is Prime / Composite

🔹 SECTION C (List-Based Questions)

  1. Write all prime numbers between 10 and 30
  2. Write all composite numbers between 10 and 20
  3. Write all even prime numbers
  4. Write all odd composite numbers less than 20
  5. Write all prime numbers less than 15

🔹 SECTION D (Reasoning Based)

  1. Why is 2 the only even prime number?
  2. Why is 1 neither prime nor composite?
  3. Can a prime number have more than 2 factors?
  4. Can a composite number have exactly 2 factors?
  5. Which is greater: number of factors of a prime or composite number?

🔥 SECTION E – CASE-BASED QUESTIONS

📖 Case Study 1: Number Cards

A student has cards: 2, 4, 5, 6, 7

  1. Which are prime numbers?
  2. Which are composite numbers?
  3. Which is the only even prime number?

📖 Case Study 2: School Activity

A number 21 is chosen.

  1. Write its factors
  2. Is it prime or composite?
  3. Why?

📖 Case Study 3: Puzzle Number

A number has factors 1 and 19 only

  1. Identify the number
  2. Is it prime or composite?
  3. Give reason

📖 Case Study 4: Grouping Game

A teacher wants to form equal groups using 7 students.

  1. Can 7 be divided into equal groups other than 1 and itself?
  2. Is 7 prime or composite?

📖 Case Study 5: Number Challenge

  1. Write a prime number between 20 and 25
  2. Write a composite number between 20 and 25
  3. Write a 2-digit prime number
  4. Write a 2-digit composite number
  5. Which is the smallest odd prime number?
  6. Which is the smallest odd composite number?
  7. Write two consecutive prime numbers
  8. Can 15 be a prime number? Why?
  9. Write all prime numbers between 1 and 10

✅ ANSWER KEY

SECTION A

  1. 2,3,5,7,11
  2. 4,6,8,9,10
  3. No
  4. 2
  5. 4
  6. Prime
  7. Composite
  8. Example: 3,5
  9. Example: 6,8
  10. 2

SECTION B

  1. Prime
  2. Composite
  3. Prime
  4. Composite
  5. Prime
  6. Composite
  7. Prime
  8. Composite
  9. Prime
  10. Composite

SECTION C

  1. 11,13,17,19,23,29
  2. 12,14,15,16,18
  3. 2
  4. 9,15
  5. 2,3,5,7,11,13

SECTION D

  1. Because all other even numbers have more than 2 factors
  2. Because it has only 1 factor
  3. No
  4. No
  5. Composite numbers

SECTION E

  1. 2,5,7
  2. 4,6
  3. 2
  4. 1,3,7,21
  5. Composite
  6. More than 2 factors
  7. 19
  8. Prime
  9. Only 2 factors
  10. No
  11. Prime
  12. 23
  13. 21 or 24
  14. 11
  15. 12
  16. 3
  17. 9
  18. 3,5
  19. No (more than 2 factors)
  20. 2,3,5,7
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