Question 1: Determine whether the number 29 is prime or composite. Show your work.

Answer: Prime

Question 2: Identify all prime numbers between 10 and 20.

Answer: 11, 13, 17, 19

Question 3: List the first five composite numbers.

Answer: 4, 6, 8, 9, 10

Question 4: Calculate whether 51 is prime or composite. Show your working.

Answer: Composite

Question 5: Construct a number line on your grid and mark the following numbers: 13, 15, 17, 20. Identify which are prime and which are composite.

Answer: 13 (prime), 15 (composite), 17 (prime), 20 (composite)

Question 6: Explain why 23 is a prime number and why 24 is a composite number.

Answer: 23 has only 1 and itself as factors; 24 has multiple factors besides 1 and itself.

Question 7: Find all prime factors of 60.

Answer: 2, 3, 5

Question 8: A number is divisible by 3 and 5. Is it more likely to be prime or composite? Explain your reasoning.

Answer: Composite, because a number divisible by both 3 and 5 must be divisible by 15, so it cannot be prime.

Question 9: Identify the prime and composite numbers in the sequence: 22, 23, 24, 25, 29.

Answer: 23 (prime), 22, 24, 25 (composite), 29 (prime)

Question 10: A student incorrectly identifies 35 as a prime number. Find and correct the mistake.

Answer: 35 is not prime; it is divisible by 5 and 7.

Question 11: Challenge: Find the smallest three-digit prime number. Explain your reasoning.

Answer: 101, because it is the first three-digit number that is only divisible by 1 and itself.