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?

Sets of Four Numbers

Stage: 2 Challenge Level:

Miss Brown was working with Becky's group on numbers that share a certain property. She wrote twelve numbers on the board.

"You can all find a different set of just four numbers that go together," she said, "And they must have a proper mathematical name. They can't be just a set of numbers that you like!"

The children stared at the numbers. Alan put up his hand. "Like odd numbers?" he suggested.
"That's the right idea," said Miss Brown, "but you can't choose just odd numbers because there are more than four of them. You must use all the numbers in my list which fit your set. Anyone else got an idea?"
Becky put her hand up. "Numbers in the $5$ times table? There are four of those."
"That's right. But what would be a good name for them?"
"Multiples of $5$?" suggested Becky.
"Good," said Miss Brown and she wrote on the board:

There are ten children in Becky's group.
Can you find a set of numbers for each of them?
Are there any other sets?