Game Rules ## The Basic Concept Behind All Arithmo Puzzles​

• To find in or insert into a grid three adjacent numbers that when calculated together result in an Equa-X.
• Equa and Equa-X are terms that simply mean the result of a mathematical equation. For example: 2 x 4 -1 = 7 (Equa-7). (You may also find the words “product” or “target number” used instead of Equa. Rest assured they all mean the same thing.)
• In Arithmo, an equation is made by calculating three adjacent numbers in a grid.
• There are five types of puzzle grid shapes: Square, Hexagon, Rhombus, Triangle, Circle (each game has a grid diagram illustrating how connections are made).
• Numbers are calculated in any combination using only addition, subtraction, multiplication and division, with or without parenthesis.

If a combination of arithmetic functions is used, then keep in mind the following order of operations you learned in math class:

Rule 1: First perform any calculations inside parentheses, if they exist.

Rule 2: Next perform all multiplications and divisions

Rule 3: Lastly, perform all additions and subtractions

The order of operation rules are demonstrated in the following examples:

(8 – 5) x 7 = 21 (Equa-21)

8 x 12 ÷ 6 = 16 (Equa-16)

6 x 3 + 5 = 23 (Equa-23)

11 + 12 ÷ 4 = 14 (Equa-14)

Each Arithmo puzzle employs the above basic rules, but it will also have its own set of specific rules. Please read all the rules carefully for maximum enjoyment.

## Square grid

In Square grids, adjacent numbers are 3 numbers connected horizontally (all in the same row, Figure 1), vertically (all in the same column, Figure 2), or in an “L” shape (Figure 3).

### 8 x 12 : 6 = 16

Figure 1: Equa-16 (horizontal)

### (8 - 5) x 7 = 21

Figure 2: Equa-21 (vertical)

### 6 x 3 + 5 = 23

Figure 3: Equa-23 (L-shaped)

Figures 4 and 5 show INCORRECT ways to connect 3 numbers in a Square grid

Figure 4: Incorrect connection in the square grid

Figure 5: Incorrect connection in the square grid

## Hexagon grid

In a Hexagon shaped grid, adjacent numbers are 3 numbers who share a common side that intersect at the black dot (as shown in Figures 6 and 7). In the Figures 8 and 9 are INCORRECT ways to connect 3 numbers in a Hexagon grid

Figure 6: Adjacent numbers share a common side in the Hexagon grid

Figure 7: Adjacent numbers share a common side in the Hexagon grid

Figure 8: Incorrect connection in the Hexagon grid

Figure 9: Incorrect connection in the Hexagon grid

## Rhombus grid

In a Rhombus shaped grid, adjacent numbers are 3 numbers who share a common side that intersect at the black dot (as shown in Figures 10 and 11). Figures 12 and 13 show INCORRECT ways to connect 3 numbers in a Rhombus grid

Figure 10: Adjacent numbers share a common side in the Rhombus grid

Figure 11: Adjacent numbers share a common side in the Rhombus grid

Figure 12: Incorrect connection in the Rhombus grid

Figure 13: Incorrect connection in the Rhombus grid

## Triangle grid

In a Triangle grid, adjacent numbers are 3 numbers in the same direction line (Figures 14 and 15). Figures 16 and 17 show INCORRECT ways to connect 3 numbers in a Triangle grid

Figure 14: Sample of straight connection in triangular grid

Figure 15: Sample of straight connection in triangular grid

Figure 16: Incorrect connection in the Triangle grid

Figure 17: Incorrect connection in the Triangle grid

## Circle grid

In a Circle grid, adjacent numbers are 3 numbers that can be connected in the same ring of the circle (Figure 18), or in the same “slice” of the circle (Figure 19). Figures 20 and 21 show INCORRECT ways to connect 3 numbers in a Circular grid

Figure 18: Sample of straight connection in circular grid (same ring of the circle)

Figure 19: Sample of straight connection in circular grid (same slice of the circle)

Figure 20: Incorrect connection in the Circular grid

Figure 21: Incorrect connection in the Circular grid

The goal is different in each puzzle, but usually it’s finding three connected numbers that equal a certain product, or figuring out which product cannot be found in the grid.