Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2013 UMO Problems/Problem 3

Revision as of 02:37, 14 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Find all <math>x</math> with <math>1 \le x \le 999</math> such that the last three digits of <math>x^2</math> are all equal to the same nonzero digit. == Solution...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Find all $x$ with $1 \le x \le 999$ such that the last three digits of $x^2$ are all equal to the same nonzero digit.

Solution

See Also

2013 UMO (Problems • Answer Key • Resources)
Preceded by
Problem 2 		Followed by
Problem 4
1 • 2 • 3 • 4 • 5 • 6
All UMO Problems and Solutions
Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2013_UMO_Problems/Problem_3&oldid=64916"