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# Basic Arithmo Rules

## The Basic Concept Behind All Arithmo Puzzles

##### Below are illustrations of how adjacent numbers should be connected in Arithmo puzzles.

## Square grid

### 8 x 12 : 6 = 16

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

### 6 x 3 + 5 = 23

## Hexagon grid

## Rhombus grid

## Triangle grid

## Circle 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.

#### Author: admin

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- 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 diagram illustrating how connections should be made in the grid). - 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 these 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** 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).

Figure 1: Equa-16 (horizontal)

Figure 2: Equa-21 (vertical)

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** 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** 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, 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, 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

As long as you know these basics, you’re set to play any Arithmo game

Arithmo Basic Rules:

- To find or insert in 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)**- In Arithmo, an equation is made by connecting three adjacent numbers in a grid.
- There are five types of puzzle grid shapes: Circle, Hexagon, Rhombus, Square, Triangle. Each game has a diagram illustrating how connections should be made in its specific grid.
- Numbers are calculated together using only addition, subtraction, multiplication and division,
*with or without parenthesis.*

If a combination of arithmetic functions is used than 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 examples shown below:

(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 basic rules, but it will also have its own set of specific rules. Please read all the rules carefully for maximum benefit and enjoyment.