## Long Line

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.

## Activities with numbered cards:

#### Prime Pairs Game

A game for two players who take turns to select two numbers that add up to a prime number.

Transum.org/go/?to=ppg

#### Superior

A game for two players who compete to make the largest possible number from randomly selected cards.

Transum.org/go/?to=superior

#### Manifest

An exciting and thought-provoking number placing game for two players or one player versus the computer.

Transum.org/go/?to=manifest

#### Nevertheless

Players decide where to place the cards to make an equation with the largest possible solution.

Transum.org/go/?to=nevertheless

#### Fifteen

A strategy game. Play against the computer to select three numbers that add up to 15.

Transum.org/go/?to=fifteen

#### Square Pairs Game

A game for two players who take turns to select two numbers that add up to a square number.