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# Crossroads

**Where your math skills are waiting to be unleashed.**

## Object of the Game

To insert the set of given numbers into the empty squares so when they are calculated in adjacent threes they equal the demands in the shaded boxes.

## How to Play

## Example

Insert numbers 1, 3, 4, 6, 7 and 8 in this CM8 shape which initially have two numbers (2 and 8) so all horizontal and vertical calculations are correct and satisfy the demands in the black squares. The solution is as follows:

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- Choose a prefilled number grid.
- Equa demands are prefilled in the shaded boxes.
- Insert the numbers from the given set into the empty squares so each adjacent three numbers when calculated together satisfy the Equa demands for both the row and column.
- Numbers can be calculated in any combination, but keep in mind the mathematical order of operations:

*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 horizontally or vertically, as shown in the diagrams below. No “L” shape connection is allowed.

- In some large size grids of Crossroads, you will have Equas on both the left and ride side of the puzzle to solve

***Crossroads game differs from CrossMath in that the squares don’t dictate the math operation that needs to be performed to solve the puzzle. In Crossroads, you are challenged to perform the order of operations on your own.**

Let’s check the solution:

7 x (6 – 2) = 21

8 x 3 -1 = 23

2 x (1 + 8) = 18

8 x (7 – 4) = 24

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.