Students solve three word problems requiring LCM reasoning — matching hot dog packs and bun packs, arranging 60 chairs in equal rows, and identifying a non-multiple of 9. Part B has five fill-in-the-blank problems about bus and train schedules meeting at 8:60, the GCF of 30 and 45, and the divisibility-by-6 rule.
Real-world LCM and GCF problems are the payoff of factor and multiple study — students see why these tools matter outside of math class.
Style:
Factors and Multiples
Part A: Multiple Choice
Circle the best answer for each question.
1. Hot dogs come in packs of 8 and buns in packs of 6. What is the fewest of each you need so they match?
A) 16
B) 24
C) 32
D) 48
2. A teacher wants to arrange 60 chairs in equal rows. How many ways can she do it?
A) 8
B) 10
C) 12
D) 14
3. Which number is NOT divisible by 9?
A) 72
B) 54
C) 35
D) 81
4. Sam has 18 red marbles and 24 blue marbles. He puts them in groups with equal reds and equal blues. What is the greatest number of groups?
A) 3
B) 4
C) 6
D) 9
Part B: Fill in the Blank
Write the correct answer on each line.
1. Buses leave every 15 minutes and trains leave every 20 minutes. They both leave at 8:00 AM and next leave together at 8:60 AM.
2. The GCF of 30 and 45 is 15.
3. A number is divisible by 6 if it is divisible by both 2 and 3.
4. The LCM of 9 and 12 is 36.
5. There are 8 prime numbers less than 20.
Factors and Multiples
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Hot dogs come in packs of 8 and buns in packs of 6. What is the fewest of each you need so they match?
A) 16
B) 24
C) 32
D) 48
2. A teacher wants to arrange 60 chairs in equal rows. How many ways can she do it?
A) 8
B) 10
C) 12
D) 14
3. Which number is NOT divisible by 9?
A) 72
B) 54
C) 35
D) 81
4. Sam has 18 red marbles and 24 blue marbles. He puts them in groups with equal reds and equal blues. What is the greatest number of groups?
A) 3
B) 4
C) 6
D) 9
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) Buses leave every 15 minutes and trains leave every 20 minutes. They both leave at 8:00 AM and next leave together at 8:60 AM.
2) The GCF of 30 and 45 is 15.
3) A number is divisible by 6 if it is divisible by both 2 and 3.
4) The LCM of 9 and 12 is 36.
5) There are 8 prime numbers less than 20.
Ready to Practice?
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9 Questions
12-18 minutes
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