Question 1: List the first five common multiples of 3 and 4.

Answer: 12, 24, 36, 48, 60

Question 2: Calculate the Least Common Multiple (LCM) of 6 and 8.

Answer: 24

Question 3: Identify the first five common multiples of 5 and 9.

Answer: 45, 90, 135, 180, 225

Question 4: Plot the graph of y = 2x for x values from 1 to 5 on the grid.

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

Question 5: Find the first three common multiples of 4 and 6.

Answer: 12, 24, 36

Question 6: Construct a triangle with sides that are common multiples of 3 and 5, each side length less than 50.

Answer: Possible sides: 15, 30, 45

Question 7: A bus arrives every 12 minutes and a train every 15 minutes. At what time will both arrive together after 8:00 AM?

Answer: Both will arrive together again at 9:00 AM

Question 8: Identify and correct the mistake: The common multiples of 4 and 6 are 24, 36, 48, 60, 72, 84. The listed multiples include 36 and 84, which are not multiples of 4 and 6.

Answer: Correction: The common multiples of 4 and 6 are 12, 24, 36, 48, 60, 72, etc. (all multiples of both 4 and 6).

Question 9: Find the least common multiple of 9 and 14 using prime factorization.

Answer: 126

Question 10: Determine whether 150 is a common multiple of 5 and 6. Show your reasoning.

Answer: Yes, 150 is a multiple of 5 (because 150 ÷ 5 = 30) and of 6 (because 150 ÷ 6 = 25).

Question 11: Challenge: Find the smallest number that is a multiple of 4, 6, and 8.

Answer: 24