## Seven Square Numbers

Add the sum of the squares of four numbers between $10$ and $20$ to the sum of the squares of three numbers less than $6$ to make the square of another, larger, number.

### 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.