Arithmancy puzzle doors in Hogwarts Legacy require some math, but the payoff is worth it. Here's how to solve them all.

Hogwarts Legacy: How to Solve All Arithmancy Doors

Arithmancy puzzle doors in Hogwarts Legacy require some math, but the payoff is worth it. Here's how to solve them all.

As you make your way around the Wizarding school in Hogwarts Legacy, you’ll come across various puzzle doors beckoning you to decipher their solutions. Known as Arithmancy Doors, they hold treasures and loot you’ll want to pick up. If you’re here, you’re wondering how to solve Arithmancy doors. 

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Hogwarts Legacy Arithmancy Door Solutions Explained

In Hogwarts’ Library Annex, there is an Arithmancy door surrounded by books and a chalkboard. On the chalkboard is an example of the door puzzles. Next to the chalkboard is a chest, and inside is a cipher note with the values of each creature symbol that surrounds the nearby door. The values start at 0 from the top-left side and end at 9 on the bottom-right side.

Each Arithmancy door puzzle has in the middle two sets of triangles with a number in the center, and three orbs linked around the triangle. In the orbs are:

  • A question mark (?) corresponding to the single question mark switch by each door.
  • A double question mark (??) corresponding to the double question mark switch by each door.
  • A creature symbol.
  • And a number.

The number in the middle of the triangle is the sum of the three orbs around it. The question marks correspond to the dials you need to spin next to each door to enter your answer, which is the sum in the middle of each triangle. 

An example equation would look like this: 

  • Sum of Triangle symbol: 9  
    • Orb 1: 2
    • Orb 2: Unicorn
    • Orb 3: ? 

The answer to the question mark would be the salamander symbol (6), because the number 2 + the Unicorn symbol (1) = 3. And 9-3=6.  

Once you reveal the puzzles, you can figure out what creature symbol corresponds to the number needed to solve the equation. Then you have to spin the ? and ?? dials next to each door to the correct creature to solve them.

Go back to the door after doing so, and you’ll be able to open it. Behind the door will be two chests with various articles of gear or collectible items inside. 

Arithmancy Doors: All Locations & Puzzle Solutions

Astronomy Wing Door

The Astronomy Wing Arithmancy Door is located behind the Charms Classroom Floo Flame. Both dials are by the door.

  • The solution for the ? is the dragon (2).
  • The solution for the ?? is the octopus (7).

Screenshots by GameSkinny

Ravenclaw Tower Door

If you are a Ravenclaw, this Arithmancy Door is near the common room, under the stairs. Otherwise, climb the Grand Staircase until you come upon the blue corridor signaling the start of Ravenclaw Tower. The ? dial is off to the left in the alcove and the ?? dial is to the right when looking at the door.

  • The solution for ? is the owl (4).
  • The solution for ?? is the quintaped (5).

Screenshots by GameSkinny

Great Hall Door

From the Floo Flame in the Great Hall, head to the left. Take another left down the corridor. The ? dial is on the left side of the hall closer to the door, while the ?? dial is on the right side of the hall.

  • The solution for ? is the spider (8).
  • The solution for ?? is the hydra (3).

Screenshots by GameSkinny

Central Hall Door

You can find this Arithmancy Door right near the Potions Classroom Floo Flame. The ? dial is by the door. The ?? dial is above the door on a balcony.

  • The solution for ? is the spider (8).
  • The solution for ?? is the hydra (3).

Screenshots by GameSkinny

Divination Tower Door

This Arithmancy Door is easiest to reach from the Divination Classroom Floo Flame. From the Flame, go toward the wooden platform and take the first right. Both dials are next to the door.

  • The solution for ? is the owl (4).
  • The solution for ?? is the hydra (3). 

Screenshots by GameSkinny

Arithmancy Classroom Left Side Door

Behind the Divination Tower door are two more Arithmancy doors. Again, both dials are by the door.

  • The solution for ? is the owl (4). 
  • The solution for ?? is the quintaped (5). 

Screenshots by GameSkinny

Arithmancy Classroom Right Side Door

On the opposite of the room is another Arithmancy Door. Like the previous two, the dials are by the door.

  • The solution for ? is the salamander (6).
  • The solution for ?? is the unicorn (1).

Screenshots by GameSkinny

Grand Staircase Door

This Arithmancy Door is located near the Grand Staircase Floo Flame.

  • The solution for ? is the demiguise (0).
  • The solution for ?? is quintaped (5).

Screenshot by GameSkinny

Grand Staircase Tower Door

Farther up the staircase, past the corridor to the Ravenclaw common room, is the next Arithmancy Door. The ? dial is up the next section of stairs, whilt the ?? dial is behind you when facing the door. 

  • The solution for ? is the octopus (7). 
  • The solution for ?? is the salamander (6).

Screenshots by GameSkinny

These last two Arithmancy Doors are in areas of Hogwarts inaccessible until you can unlock and cast Alohomora. 

Hospital Wing Door

The first time you come across this Arithmancy door is during the “Caretaker’s Lunar Lament” quest when you sneak into the faculty wing and then the hospital wing.

The door is located on the second floor on the left side. The ? dial is near the door, while the ?? dial is on the right side of the room. You can complete the door while remaining invisible.

  • The solution for ? is the demiguise (0).
  • The solution for ?? sea monster (9).

Screenshots by GameSkinny

Potions Classroom Door

Head to the Potions Classroom Floo Flame for this door. Go through the double doors and make your way downstairs until you come across a locked door. Unlock the door, which has the Arithmancy Door located in the room behind it. Both dials are very close by on either wall.

  • The solution for ? is the dragon (2).
  • The solution for ?? is the unicorn (1).

Screenshots by GameSkinny

North Hall Door

From the transfiguration classroom, head through the doors on the left, toward the Bell Tower. Go up the stairs, and you’ll see a level one locked door. Unlock it and head down the hall. The dials are on either side of the door.

  • The solution for the ? is the salamander (6)
  • The solutions for the ?? is the hydra (3)

Screenshots by GameSkinny

That is how to solve Arithmancy Doors, along with the full list of Arithmancy Door locations and their solutions for Hogwarts Legacy. For more tips, walkthroughs, and hints, head over to our guides page for WB Games’ open-world RPG.

Featured image by GameSkinny.


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Ashley, otherwise known as Glitchiee, is an avid gamer of RPGs, TTRPGS, farming sims, and survival crafting games. Playing since she can remember, she started on the SNES, GameBoy Color, and collection 1st gen Pokemon cards. Using her passion for gaming, she's written about games for a combined total of 2 years.