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## 'Sets of Four Numbers' printed from http://nrich.maths.org/

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?