### 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?

# Jack of Cards

##### Stage: 2 and 3 Short Challenge Level:

Suppose the cards started as A, B, C, D and E in that order. Jack then hands over A, puts B on the bottom, hands over C, puts D on the bottom and hands over E. The cards are then in the order BD, so B is placed on the bottom and D is handed over.

This means I receive the cards in the order A, C, E, D, B. This is in order, so A is the Ace, C the 2, E the 3, D the 4 and B the 5. Hence, the original order was Ace, 5, 2, 4, 3.

This problem is taken from the UKMT Mathematical Challenges.