Question 1: List all prime numbers between 1 and 20.

Answer: 2, 3, 5, 7, 11, 13, 17, 19

Question 2: Determine whether the number 49 is prime. Show your reasoning.

Answer: No, 49 = 7 x 7

Question 3: Identify all prime numbers less than 50 that are divisible by 3.

Answer: 3, 3, 13, 23, 43

Question 4: Construct a list of prime numbers between 30 and 40. Show your working.

Answer: 31, 37

Question 5: Calculate whether 51 is a prime number. Explain your reasoning.

Answer: No, 51 = 3 x 17

Question 6: Using divisibility rules, determine if 91 is prime. Show your working.

Answer: No, 91 = 7 x 13

Question 7: Identify all prime numbers between 50 and 60.

Answer: 53, 59

Question 8: Explain why 21 is not a prime number.

Answer: Because 21 = 3 x 7, so it is composite.

Question 9: Determine if 97 is prime and justify your answer.

Answer: Yes, 97 has no divisors other than 1 and itself.

Question 10: Identify the common mistake in the reasoning: "Since 49 is divisible by 7, it is prime."

Answer: 49 is divisible by 7 but has more factors (1, 7, 49), so it is not prime.

Question 11: Using your knowledge of primes, list all prime numbers between 1 and 10 and identify which are odd.

Answer: 2 (even), 3 (odd), 5 (odd), 7 (odd), 11 (odd if included)