Online Quiz: Applying GCF and LCM to Real-World Problems (Grade 6)

📚 Quick Study Guide

• 🍎 Greatest Common Factor (GCF): The largest number that divides evenly into two or more numbers. To find the GCF, list the factors of each number and identify the largest factor they have in common.
• ➕ Example: GCF of 12 and 18. Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 18: 1, 2, 3, 6, 9, 18. GCF(12, 18) = 6.
• ➗ Least Common Multiple (LCM): The smallest number that is a multiple of two or more numbers. To find the LCM, list the multiples of each number until you find the smallest multiple they have in common.
• 🔢 Example: LCM of 4 and 6. Multiples of 4: 4, 8, 12, 16.... Multiples of 6: 6, 12, 18.... LCM(4, 6) = 12.
• 💡 Prime Factorization Method: Express each number as a product of prime factors. For GCF, multiply the common prime factors with the lowest exponent. For LCM, multiply all prime factors with the highest exponent.
• 🌱 Real-World Applications: GCF is used to simplify fractions or divide things into equal groups. LCM is used to find when events will happen at the same time.

🧮 Practice Quiz

1. What is the greatest number of identical care packages you can create using 24 cans of soup and 36 granola bars?
   1. 12
   2. 6
   3. 24
   4. 36
2. Two neon signs are turned on at the same time. One sign blinks every 4 seconds and the other blinks every 6 seconds. In how many seconds will they blink together again?
   1. 2
   2. 10
   3. 12
   4. 24
3. Sarah has 15 red balloons and 20 blue balloons. She wants to make identical balloon arrangements. What is the greatest number of arrangements she can make if every balloon is used?
   1. 3
   2. 4
   3. 5
   4. 10
4. A gardener wants to plant 28 tomato plants and 32 pepper plants in rows. Each row must have the same number of plants, and each row can only contain one type of plant. What is the greatest number of plants that can be in each row?
   1. 2
   2. 4
   3. 7
   4. 8
5. Two buses leave a station at the same time. One bus leaves every 20 minutes, and the other leaves every 30 minutes. How many minutes will pass before they leave together again?
   1. 10
   2. 50
   3. 60
   4. 500
6. What is the side length of the largest square tile that can be used to completely cover a rectangular floor that measures 24 inches by 36 inches?
   1. 4 inches
   2. 6 inches
   3. 12 inches
   4. 18 inches
7. John wants to distribute 48 chocolates and 72 candies equally among his friends. What is the maximum number of friends he can distribute to?
   1. 12
   2. 16
   3. 24
   4. 48