1 Write down the first ten square numbers (perfect squares) [can do this]

2 Show that when each of these squares are divided by 3, the remainder is either 0 or 1

3 Write down three consecutive numbers the first of which is divisible by three[can do up to this part]

4 Prove that the square of any number is of the form of 3n or 3n+1

5 Use modular arithmetic(what's that) to prove the same result