5003 Elementary Education Mathematics Subtest Exams — 5038 Praxis Math Answers
Answer: A,B,D
The sizes of the groups can be 3, 4, or 6 pencils.
The sizes of the groups that can be formed from 36 pencils are 3, 4, and 6. These numbers are factors of 36, meaning they can divide the total number of pencils evenly.
A) 3
3 is a factor of 36, as 36 divided by 3 equals 12. Therefore, it is possible to create 12 equal-sized groups of 3 pencils each.
B) 4
4 is also a factor of 36, since 36 divided by 4 equals 9. This indicates that 9 equal-sized groups of 4 pencils can be formed.
C) 5
5 is not a factor of 36, as dividing 36 by 5 does not yield a whole number. Thus, it is impossible to create equal groups of 5 pencils from 36.
D) 6
6 is a factor of 36, with 36 divided by 6 resulting in 6. This means that it is feasible to form 6 equal-sized groups of 6 pencils each.
E) 8
8 is not a factor of 36 because dividing 36 by 8 does not result in a whole number. Therefore, it is not possible to form equal groups of 8 pencils from 36.
Conclusion
The correct options are 3, 4, and 6 because they evenly divide the total of 36 pencils, allowing for equal-sized groups. Options C and E are incorrect as they do not divide 36 evenly, making them unsuitable for forming equal groups.