You have most likely seen this game a few times in your life. The cards get laid out like a pyramid and you match up two cards at a time whose values total thirteen. The only exception to this rule is the King who gets discarded all by himself.
Deal seven rows of cards, face up, in the shape of a pyramid. The first card has a row all to itself. The next two cards get dealt right below the first card with their upper edges overlapping the first card. The third row has three cards whose upper edges overlap the cards above them. This continues until the last row of seven cards has been dealt.
With the cards always overlapping the ones above, the only cards available for play are the lower and exposed cards. At the start of the game, that mans only the last row of seven cards are available for play.
Starting with that last row, examine the cards carefully and see if there are any two cards that add up to the total of 13. If there are two cards that total 13, remove them from the layout and place them in a discard pile. Remember, the Kings get discarded all by themselves.
The remaining cards are left in one pile face down. They are to be turned up one by one and hopefully will go with one of the cards in the layout that are available for play. The goal is to get all of the cards in that discard pile.
This game is played the same way as the Pyramid game above, except that the dealing of the cards is not as artistic. To begin the game, deal a row of five cards. Remove any two cards that add up to 13. As in Pyramid, this game also allows the removal of the King all by himself.
Once you have your first five cards, stop and look to see if there is a King or two cards that add up to 13. Remove the cards onto a discard pile. Again, the discard pile is the pile that you are hoping to see all fifty-two cards in at the end of the game.
If you cannot remove any or all of the cards in the first layer, deal another set of cards on top of the first layer. Only the top cards are available for play. You can overlap the cards if you would like, but only the bottom most cards are available for play.
Should there be a gap in the row of five cards because they were removed, you may fill that gap with one of the available cards in another row. If a gap appears in the first layout of five cards, then you can use cards from your hand to fill in the gaps.
The cards that add up to 13 are: Kings, Ace and Queen, 2 and Jack, 3 and 10, 4 and 9, 5 and 8, 6 and 7.
The rules do not usually allow redeals in these games. If you want to change the rules a bit, you could allow for one redeal.