This activity is all about laying down the suits of cards in lines so that adjacent pairs of cards add or multiply together to give particular totals.
Let the Ace represent one, Jack eleven, Queen twelve and King thirteen
How long can you make a line of cards of one suit so that:
sums of adjacent cards are odd numbers;
Here are some other challenges: How long can you make a line of cards of one suit so that:
products of adjacent cards are even numbers;
sums of adjacent cards are prime numbers;
sums of adjacent cards are square numbers;
sums of adjacent cards are triangular numbers;
Solutions to these puzzles are available to those who have a Transum Subscription and are signed in.
You can try similar activities which are online and interactive: Scallywags and Scoundrels  Square Pairs

Do you have any wonderful ideas for using playing cards to help learn mathematics? Please share your ideas here. Playing cards have been around since the ninth century. They were invented in China and spread across Europe in the fourteenth century. Though the designs on the cards have changed over the years the basic number properties have not. Because they are so popular the manufacture of high quality cards is not expensive and makes them an ideal tool for learning mathematics. 
