Effective Group Arrangement for Classroom Success

What’s inside this PDF?

Question: In a classroom, the teacher wants to arrange students in groups such that each group has the same number of students. If there are 36 students, which of the following is NOT a possible group size? (2023)

Options:

1
2
3
10

Correct Answer: 10

Exam Year: 2023

Solution:

The number 10 is not a factor of 36, hence it cannot be a group size.

Practice Questions

Q1

In a classroom, the teacher wants to arrange students in groups such that each group has the same number of students. If there are 36 students, which of the following is NOT a possible group size? (2023)

1
2
3
10

Questions & Step-by-Step Solutions

In a classroom, the teacher wants to arrange students in groups such that each group has the same number of students. If there are 36 students, which of the following is NOT a possible group size? (2023)

Step 1: Understand that we need to find group sizes that can evenly divide the total number of students, which is 36.
Step 2: A group size is possible if it is a factor of 36. Factors are numbers that can divide 36 without leaving a remainder.
Step 3: List the factors of 36. The factors are: 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Step 4: Check the number 10 to see if it is in the list of factors. It is not in the list.
Step 5: Since 10 is not a factor of 36, it cannot be a possible group size.

Factors and Multiples – Understanding factors of a number is essential to determine possible group sizes that can evenly divide the total number of students.
Divisibility – Recognizing which numbers can divide another without leaving a remainder is key to solving the problem.

In a classroom, the teacher wants to arrange students in groups such that each g

What’s inside this PDF?

In a classroom, the teacher wants to arrange students in groups such that each g

Practice Questions

Questions & Step-by-Step Solutions

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