Arithmetical Puzzle

Seiffen

During the Christmas season window pictures can also be seen in many windows of the Erzgebirge. These are mad with jigsaws, with a wood turning lathe or carved. Our puzzle shows the church of Seiffen. This church is the most popular theme of all the churches in the Erzgebirge. One finds it as a light house, as a pyramid, on Christmas Arches, on tableclothes, napkins ...

Write in the twelve clouds around the church of Seiffen the numbers 1 to 12. Adjacent numbers have a difference of at least 3 and at most a difference of 6. No number can be repeated.

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Kick-Start of the pyramid

Im Arzgebirg is wahrlich schie,
wenn´s draußen stermt un schneit,
un wenn de Peremett sich dreht,
is unnre schännste Zeit." (Part of a Christmas Song in the Erzgebirgian dialect)

Today we start a Christmassy puzzle journey into the Erzgebirge (mountains in the south west and south of Saxony with many special Christmas traditions, also called Christmas County - Weihnachtsland). At many places we find beautiful Christmas pyramids, called Peremett in the local dialect, out of doors. At the first Advent weekend there is in many villages and little towns a ceremony called Pyramidenanschieben (Kick-Start of the pyramid). Lets put our numbers pyramid into motion:

Each box contains one of the digits 1 to 9. The value of a cell is either the sum or the difference of the two cells under it. In yellow lines all numbers are different. In green lines just one number occurs twice, all other numbers are different. In pink lines exactly two numbers occur twice and all others are different. Fill out the grid with numbers 1 to 9 in accordance with these rules.

Kick-Start of the pyramid

Pyramid

Fill the grid with the digits 1 to 9. The number in a cell must be the sum or the difference of the numbers in the both cells below the number. Each gray row has no repeated number. Each white row has at least one number that is repeated.

Pyramid

Pyramid

Fill the grid with the digits 1 to 9. The number in a cell must be the sum or the difference of the numbers in the both cells below the number. Each gray row has no repeated number. Each white row has at least one number that is repeated.

Pyramid

Which is the biggest?

Fill in the grid with the digits 1 through 9. Each number should be used only once. The number in the coloured square is the sum of the four adjazent cells. The arrows show the biggest of the four adjazent digits.

Which is the biggest?

Which is the biggest?

Fill in the grid with the digits 1 through 9. Each number should be used only once. The number in the coloured square is the sum of the four adjazent cells. The arrows show the biggest of the four adjazent digits.

Which is the biggest?

Tenner Grid

Fill in the grid so that every row contains the digits 0 through 9. In columns the numbers may be repeated. The bottom numbers give the sum of the column. Adjazent cells, even diagonally adjazent cells, must be different.

Tenner Grid

Tenner Grid

Fill in the grid so that every row contains the digits 0 through 9. In columns the numbers may be repeated. The bottom numbers give the sum of the column. Adjazent cells, even diagonally adjazent cells, must be different.

Tenner Grid

Inequality/Difference Square

Fill in the grid so that every row and every column contains the digits 1 through 5. Numbers must be placed according to greater (>) and less (<) signs. The numbers between two cells give the difference of the digits.

Inequality/Difference Square

The Nonconsecutive Egg

Fill in the grid the digits 0 through 9. There are no cells with a common line and consecutive digits. (0 is consecutive with 1, not with 9.)

The Nonconsecutive Egg

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