Circle Problem

Question

Students from Ms. Misterek’s class are standing in a circle. Each student is given a whole number then stands in numerical order. Consecutive numbering begins with one. The student holding number 7 is directly opposite the student holding number 20. How many students are in Ms. Misterek’s class? Explain your reasoning. Write 3+ sentences and upload a photo of a diagram that you made.

Answer 1

Draw a diagram!!

Numbers 8 through 19 are in one half of the circle, that is 13 students.

The same number must be in the other half of the circle.

Numbers 25 to 6.

How many students?

Answer 2

if 7 is opposite 20, then there are 12 more students from 7 to 20: 8,9,10,11,12,13,14,15,16,17,18,19

on the other side of the table, from 20 to 7 there must be 12 more students:6,5,4,3,2,1,21,22,23,24,25,26

there are 26 students in the class