Question 1: List all prime numbers between 10 and 20.

Answer: 11, 13, 17, 19

Question 2: Determine whether 29 is a prime number. Show your reasoning.

Answer: Yes, 29 has no divisors other than 1 and itself.

Question 3: Construct a list of prime numbers less than 50.

Answer: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Question 4: Identify the prime numbers in the set: {22, 23, 24, 25, 29, 30}.

Answer: 23, 29

Question 5: Explain why 51 is not a prime number.

Answer: Because 51 is divisible by 3 and 17, so it has factors other than 1 and itself.

Question 6: Is 97 a prime number? Show your work.

Answer: Yes, 97 is prime because it is only divisible by 1 and 97; no divisors between 2 and 9.

Question 7: Plot the graph of y = 2x for x values from 1 to 5 on the grid.

Answer: Points: (1,2), (2,4), (3,6), (4,8), (5,10)

Question 8: Construct a triangle on the grid with side lengths of 3, 5, and 7 units. Which of these lengths are prime? Explain your choice.

Answer: 3, 5, and 7 are prime numbers because they have no divisors other than 1 and themselves.

Question 9: Identify all the prime numbers less than 30 that are also odd.

Answer: 3, 5, 7, 11, 13, 17, 19, 23, 29

Question 10: Common mistake: A student claims 49 is a prime number. Correct this error and explain.

Answer: 49 is not prime because it is divisible by 7; prime numbers only have 1 and themselves as divisors.

Question 11: Challenge: Find the next prime number after 97. Show your working process.

Answer: Next prime after 97 is 101 because 98-100 are divisible by 2 or 5, and 101 is only divisible by 1 and 101.