### A Square Deal

Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.

# Cubes Within Cubes

### Why do this problem?

This is a tough problem for learners who relish the challenge of working with large and difficult numbers. It would become more accessible if calculators were used.

### Key questions

Have you found out how cubes are needed to cover the single cube?

Have you remembered that there is only "up to $1000$ of each colour"?

What is the cube root of $1000$?

Have you made list of the cubes up to $1000$?

### Possible support

Suggest starting by finding how many cubes are needed to cover one (yellow) cube. This can be done practically with interlocking cubes.