Cuisenaire Rods

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

Making Boxes

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

A Right Charlie

Can you use this information to work out Charlie's house number?

Seven Square Numbers

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.