Exploring the Squares and Others

Age 7 to 14 Challenge Level:

(This activity has been particularly created for the most able.)

Here are two examples of arranging numbers that are not in the usual $100$ format that we saw in "Those $100$ Blocks" , which it might be good to have a look at first, by going here.

You probably know about square numbers, triangular numbers, cube numbers and others. Well, use just one of those groups of numbers and see where they appear in one or both of the tables above.

Do some more exploring of what you notice and discover.

Then ask yourself "Why?" and "I wonder what woud happen if I . . . ?"