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# Maze

## Object of the Game

To find a path of three-adjacent-number connections from a predefined starting point to a predefined endpoint where the sum of each connection results in the given Equa.

## How to Play

## Example

Find the path from starting point (5) to end point (9) calculating sets of three numbers along the way that result in Equa 16. The solution is as follows:

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**An amazingly fun game from start to finish**

- Choose a prefilled number grid with a starting and endpoint.
- Start finding three-adjacent-numbers connections that when calculated together satisfy the Equa demand.
- Numbers can be calculated in any combination, but keep in mind the mathematical order of operations as you calculate:

*First perform any calculations inside parentheses, if they exist.*

*Next perform all multiplications and divisions*

*Lastly, perform all additions and subtractions*

- For this game, adjacent numbers are three numbers connected
**vertically, horizontally or in “L” shape**, as shown in the diagrams below.

- The last number in a correct three-number-connection should be the first number in the next.
- The solution of the puzzle is the path where multiple sets of three numbers, when calculated together as described above, all result in the demanded Equa.
- Note: A three-number-connection cannot cross another three-number-connection. See the example below for correct and incorrect paths to make.

Let’s check the solution:

10 : 5 x 8 = 16

8 x 8 : 4 = 16

8 x 6 : 3 = 16

12 + 6 – 2 = 16

2 + 9 + 5 = 16

5 + 5 + 6 = 16

6 x 3 – 2 = 16

3 x 7 – 5 = 16

8 x (9 – 7) = 16

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.