Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

Magazines

Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.

Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Domino Sets

Stage: 2 Challenge Level:

The year 3 and 4 Mathematics Extension group at Lumen Christi Primary School in Australia sent in their excellent work in a Word Document. Here is a part of it:

The remainder can be found here:  LumenChristiSolutions.doc or LumenChristiSolutions.pdf

Aaron, who goes to Stockingford Primary School sent the following good description for the first set of dominoes:

I worked it out by putting all the zeros first like 0-0, 0-1 and so on, then putting the ones next: 1-1, 1-2 and so on.
I did that until I got all of them put together.
But I had to remember that there is only one 0-0, 0-1, 0-2 and till you get to 0-6, but you can switch the numbers round. There were 28 dominos all together.

There were a number of other emails sent in describing their work but unfortunately there were a number of slip-ups, that so easily happen with this kind of challenge.
Thank you to everyone who sent in their suggestions.