Common Factors and Multiples Problems

This lesson covers the use of common multiples and factors in problem-solving scenarios. It includes analyzing sign-making times, distributing cookies evenly, and solving mathematical expressions using mental math. The lesson also explores coordinate geometry by forming vertical and horizontal segments. Key concepts such as the greatest common factor (GCF) and least common multiple (LCM) are discussed, along with practical applications in real-world problems.

When do Mai and Claire complete a sign at the same time?

• At the 30th minute

• At the 24th minute

• At the 18th minute

• At the 12th minute

What is the least common multiple of 6 and 5, the time it takes for Mai and Noah to complete a sign together?

• 25 minutes

• 20 minutes

• 15 minutes

• 30 minutes

How many bags can Diego make without any cookies left over?

• 3 bags

• 2 bags

• 4 bags

• 5 bags

What is the greatest common factor of 12 and 8?

• 2

• 8

• 4

• 6

What is the least common multiple of 12 and 8?

• 28

• 24

• 20

• 16

What is the product of the greatest common factor and the least common multiple of 12 and 8?

• 120

• 48

• 96

• 72

Which set of coordinates forms a vertical segment with the point (5.5, -7)?

• (7, 5.5)

• (5.5, 7)

• (5.5, -5.5)

• (-7, 5.5)

Which set of coordinates forms a horizontal segment with the point (3, 3.5)?

• (-3.5, 3)

• (3.5, 3)

• (-3, 3.5)

• (3, -3.5)

What is the result of 999 times 5 using mental math?

• 4990

• 4995

• 5000

• 5005

Using the distributive property, what is 3.5 times (40 + 60)?

• 350

• 400

• 300

• 450