Seven Square Numbers

'Seven Square Numbers' printed from https://nrich.maths.org/

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Seven Square Numbers

several numbers ranging from 1 to 19. 13 squared = 169 given and 5 squared = 25 given

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.