PROBLEM+OF+THE+WEEK

Welcome to rupomaths problem of the week.

Each week a problem will be published on this site. It is open to all members of the rupertswood community, staff, students and parents. You can submit the answer to the problem, with you reasoning on paper (in an envelope please with your name on it), or directly to my email address at school. Jchircop@scr.vic.edu.au The problem will remain open for two weeks, with entries closing on Friday 4.00 each week number 2 on our calendar. The first correct opened entry will be published the following week, as will a new problem. Have fun.

Problem number one

. X, y, and z are digits. The 3-digit number xyz is divisible by 3, yxz is divisible by 4, yzx is divisible by 5, and zyx has an odd number of factors. Find xyz.