### 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?

# Millennium Man

##### Age 7 to 11 Challenge Level:

Julian of Hethersett High School made a table of the days of the week on 1 January every year from the year 2000 to the year 2100. He used the fact that the day of the week 'moves on' by $1$ day each year (why is that?) apart from immediately after a leap year when it 'moves on' by $2$ days. The pattern repeats after $28$ years.

The first Saturday 1 st January after 2060 is in 2061 so Millennium Man will retire on his 61 st birthday. The 1st January falls on a Saturday four times every $28$ years. It falls on a Saturday $15$ times this century so his birthday will occur on a Saturday $15$ times during this century.

Well done also Lizzie and Hollie, The Mount School, York and Fiona, Stamford High School, Lincolnshire. Congratulations also to Katherine and Rosalind from Chawson First School Droitwich who told us:

We made a note of which years were leap years and then counted up all the Saturdays. The first question came out as 2061 and the second came out as $15$.