11. Quadratic Residues Overview

Squares Modulo N — Quiz

Test your understanding of squares modulo n with 5 practice questions.

Practice Questions

Question 1

What is $3^2 \pmod{7}$?

Question 2

If $x \equiv 2 \pmod{5}$, what is $x^2 \pmod{5}$?

Question 3

What is the least nonnegative residue of $(-3)^2$ modulo $8$?

Question 4

Which number is not a square modulo $7$?

Question 5

If $x$ is odd, what is $x^2 \pmod{8}$?