Blue Prince | How to solve the Billiard Room dartboard puzzles

If you are struggling with these math problems, do not worry, we've got you covered
Blue Prince Billiard Room Dartboard Puzzle

The Billiard Room is a puzzle room you can draft in the Blue Prince; each has a self-contained dartboard puzzle for you to solve. Here at Loot Level Chill, we’ve spent hours poring over Blue Prince, and have a comprehensive guide to help you crack every one of these puzzles by following our simple rules. Read on to discover how to solve the Billiard Room dartboard puzzles in Blue Prince.

SPOILER WARNING

As with most things in Blue Prince, part of the fun is self-discovery, and below this spoiler warning we will be revealing plenty of secrets of the game. We encourage you to try and find out the solutions to puzzles on your own to get the full experience of Blue Prince. Only read on if you do not mind some of those secrets being spoiled.

Where is the puzzle?

In each Billiard Room, there is a dartboard on the wall in the corner, opposite the bar area. Heading over to it and interacting with it will begin the puzzle. You need to solve its mathematical problems and input the correct answers to win a prize.

What is the prize?

The prize for successfully completing the dartboard puzzle in the Billiard Room will always be key-related. Sometimes your prize will be two regular keys, but sometimes instead you will be rewarded one major key instead, such as a Keycard, or a Silver Key. Either way, successfully completing the puzzle is always worth your while.

Is there a clue hidden somewhere?

As with most puzzles in Blue Prince, there is actually a clue hidden elsewhere to help you get started with understanding the dartboard puzzle. If you have a Magnifying Glass in your inventory and are in the Nook room, you can use the Magnifying Glass on the note on the cabinet near the door. There is an illustration in the book that gives some clues as to how to get started with the Dartboard.

If you only want a small hint, try looking there first, and then see how you get on on your own.

For everyone else, we will now breakdown all the different “rules” to follow as part of the puzzle.

Blue Prince Billiard Room Dartboard Puzzle Rules

  1. Each colour stands for a different mathematical operation

There are four different colours in this puzzle and they each stand for a different operation. They are:

  • Blue: Addition
  • Yellow: Subtraction
  • Red: Multiplication
  • Purple: Division

2. You work your way from the centre of the board outwards for the order of operations.

The dartboard itself is split into four segments from the centre. They are:

  • The central circle
  • The “treble” ring
  • The outer circle
  • The “double” ring

It is important when calculating the answer, that you work outwards, and do every operation in one segment before moving outwards. Ignore BODMAS rules here, inside, working outwards is what you need to do.

So in the image below you would firstly +14, then -7 to get 7. Then x2 to get to 14. You then select the number 14 on the outside of the dartboard to proceed to the next puzzle

Blue Prince Billiard Room Dartboard Puzzle

NOTE: The answer should always end up between 1 and 20. If it doesn’t, go and redo your calculations, and double-check your answer.

More advanced rules

The sad fact is Blue Prince takes little joy in your success and will continue to provide harder puzzles for you, the more you succeed in them. As such, you will likely encounter these additional rules to consider as the difficulty ramps up

Bullseye

Perhaps rather expectedly, the Bullseye is the next area to be made use of on the dartboard puzzle. Firstly the Bullseye will always be one of the four colours. Therefore, you only have to complete its action when you are dealing with a segment that has that operation. So if you have a blue Bullseye, but the only Blue segment is on the “double” ring, you only do its action after you’ve completed that operation.

The different Bullseye actions are denoted by what you can see in the Bullseye. There are multiple options

  • Square: Square the number after you have finished the operation
      • E.g. The number 4 would become the number 16 (4 squared)
  • Diamond: Flip the number after you’ve finished the operation
      • E.g. The number 21 would become the number 12 (1 and 2 reversed)
  • Single Wavy Double Line: Round to the nearest 1 after the operation
      • E.g. 4.6 would become 5
  • Double Wavy Double Line: Round to the nearest 10 after the operation
      • E.g. 17 would become 20
  • Triple Wavy Double Line: Round to the nearest 100 after operation
      • E.g. 218 would become 200

When you get really far into the puzzles you may also see a combination of two of the above in the Bullseye. If you do, keep the same principle of working from the centre outwards, and do the most central shape action first after the operation, and then immediately followed by the outer action of the Bullseye.

Thin Colours

You will notice that when the segments are coloured to denote the operation, they are completely filled in. If you ever see a segment not completely filled in, it will actually only be filled in by its central third. This is a clue because you actually only need to take a third of the number instead.

So if you see the number 18 and it has a yellow thin strip coloured in, you should actually only consider a third of that number. One-third of 18 is 6. So in this operation you would subtract 6 (rather than 18)

Outer Circle

When you get even further into the puzzles, an additional ring is added outside of the numbers. Here you may find one of three additional symbols which means you have to consider the following:

  • Cross: Ignore all operations for this number every time
  • Diagonal Line: Divide this number by 2 (may involve decimals) and use that instead
  • Two red dots: Double the number and use that in the operation instead.

NOTE: These markings focus on a specific number each time. The rule applies to the number every time it is used in the calculation, even if that is every segment.

Following the above as a reference, you should be able to now solve any dartboard puzzle in the Billiard Room in Blue Prince.

 

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