# Arithmo Rules - MathQuest

### The Basics

Arithmo–MathQuest is based on the basic Arithmo rules.

In each MathQuest puzzle you’re given a grid filled with numbers that has at least one equation for each "Equa-X" from 13 to 24. You’re allowed to connect any 3 adjacent numbers you want together with a straight vertical, horizontal, or "L" shaped line. You then use addition, subtraction, multiplication, and division with those 3 num¬bers any way you want, in any order or combination. If the three numbers you connect¬ed can be made to equal 13 using this math that means you found Equa-13. If they equal 22, that means you found Equa-22, and so on. Your goal in this puzzle is to find all equations that can be made for every Equa from 13-24 (13,14,15,16.....22,23,24)! The only way to do this is to keep making equations until you’ve been able to equal all of these products!

Remember that in the Arithmo world, "3 connected numbers", always means any 3 adjacent numbers on the grid that you can directly connect using a straight horizontal, vertical, or "L" shaped line. You can’t just pick random numbers from all around the grid!

### Rules of the Game

The object of MathQuest is to find and count all of the equations for each Equa on the grid (including "duplicates" if they exist), from Equa-13 up to Equa-24. The total number of equations you can make for each Equa is the solution of the game. The term “duplicates” means two different ways of achieving the same Equa-X. So basically, if you were able to make 14 different equations, and the solution guide says the answer is "14", then you win!

Search for every Equa-13 through 24 on the grid. The only way to do this is by connecting 3 adjacent numbers, making up equations with them, and seeing what they equal. When you find an equation that equals 13,14,15, and so on, write it down. Keep cruising through the grid until you think you’ve found every possible equation on the entire grid that can equal from 13 to 24. Remember that duplicates must be counted! You may find that numbers on different sides of the grid will equal the same Equa. These count!

Once you’re done, count the amount of equations you were able to find on the grid for each Equa. That number is the answer for that specific Equa.

If you find that you found more or less equations than the solution guide that means you either made a mistake or that there’s another equation hiding from you somewhere on the grid! Go get it!

MathQuest is a discovery tour through the world of math. Once you find all of the possible equations that can be made to equal 13 through 24, you know you’ve accomplished some serious math exploration!

### Example

1
4
12
8
10
9
7
11
6

Here, you can see a 3x3 grid. The task is to count all Equa occurrences on the grid.

Equa-13 (6): 4+10-1=13, 1+8+4=13, 10+12:4=13, 12+10-9=13, 10+11-8=13, 10+9-6=13

Equa-14 (6): 8+7-1=14, (4+10)x1=14, 8+10-4=14, (10-8)x7=14, 10+11-7=14, 9+11-6=14

Equa-15 (7): (8+7)x1=15, 4+12-1=15, 1+4+10=15, 10+9-4=15, 12+9-6=15, 10+11-6=15, 10x9:6=15

Equa-16 (2): 1+8+7=16, (4+12)x1=16

Equa-17 (4): 1+4+12=17, 8+10-1=17, 10+11-4=17, 12+9-4=17

Equa-18 (5): (8+10)x1=18, 10+12-4=18, (12-10)x9=18, (12-9)x6=18, (10-8)x9=18

Equa-19 (1): 1+8+10=19

Equa-20 (2): 10x8:4=20, (11-9)x10=20

Equa-21 (1): (11-8)x7=21

Equa-22 (2): 4+8+10=22, (10-8)x11=22

Equa-23 (1): 4+10+9=23

Equa-24 (4): (4-1)x8=24, 4x9-12=24, (10-7)x8=24, 7+11+6=2

So, the the solution for Equa-13 is: 6, because we were able to find 6 different equations that make up Equa-13. The solution for Equa-14 is: 6, for the same reason. The solution for Equa-15 is: 7, and so on. Also, you’ll note that each equation is made up of three numbers that are adjacent and connected on the grid by a straight or "L" shaped line.

### Skill Levels

Arithmo–MathQuest tasks are divided into 3 levels: Easy, Medium, Difficult.