Why do this problem?

This problem is suitable for learners who need a challenge when working with square numbers.

Key questions

Have you made a list of squares of the relevant numbers?

Have you remembered that $1$ is a square number?

What is the square root of that number?

Possible extension

Learners who need even more of a challenge could try Cycling squares .

Possible support

Suggest making a list of squares of the relevant numbers, remembering that $1$ is a square number.