### 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?

# Lawn Border

##### Stage: 1 and 2 Challenge Level:

Rosie from the Thomas Deacon Academy in Peterborough U.K. sent in the following accompanied by the diagrams.

From carrying out this solution, I have found that the more corners there are to the shape of the lawn the more tiles you need, as for every corner you need an extra tile to go in the tip (edge). I found many differant shapes that could be used for the lawn and tiles and have included the most interesting and practical ones.

Finlay from Sutton in the U.K. said the following:

The solution to a rectangular lawn is:
Mathematical terms:$(n x 2) + (X x 2) + 4$
English terms: if you multiply on side of the lawn by two and add it to a different length side multiplied by two, and then add four it will equal the number of tiles around the lawn.

Thank you, both of you for these good solutions.