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

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

Question 2: Identify whether 21 is prime or composite. Explain your reasoning.

Answer: Composite because 21 has factors other than 1 and itself (3 and 7).

Question 3: List all composite numbers between 10 and 20.

Answer: 10, 12, 14, 15, 16, 18, 20

Question 4: Construct a number line on the grid and mark the prime numbers between 1 and 30.

Answer: Students will draw on grid: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Question 5: Explain why 1 is neither prime nor composite.

Answer: 1 is neither prime nor composite because it does not meet the definitions: prime has exactly two distinct factors, and composite has more than two factors.

Question 6: Calculate whether 29 is prime or composite. Show your working.

Answer: 29 is prime because it has no divisors other than 1 and 29.

Question 7: Identify whether 35 is prime or composite and justify your answer.

Answer: Composite because 35 has factors other than 1 and itself, namely 5 and 7.

Question 8: List all prime factors of 60.

Answer: 2, 3, 5

Question 9: A number is divisible by both 2 and 3. What is the smallest such number greater than 10?

Answer: 12

Question 10: What is the greatest prime number less than 50?

Answer: 47

Question 11: Identify the mistake in this reasoning: 'Since 4 is prime, all even numbers are prime.'

Answer: The reasoning is incorrect because 4 is not prime; many even numbers are composite, e.g., 4, 6, 8.