Quandaries
and Queries 

Who is asking: Parent Level: Secondary Question: 

Hi Pauline, Suppose that you were to write a list if all 9833 powers of 2 and the corresponding day of the week. The list would start
The pattern will repeat, Wednesday, Friday, Tuesday, Wednesday, Friday, Tuesday,... Day 16 is on a Wednesday since 16 = 2 7
+ 2 (2 weeks and 2 days after October 1) Now imagine that the list above is extended to 9833 rows. How many times does this cycle of three days repeat? How many rows are in the table after that? What day of the week is the last row of the table? Penny


