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Billiard Room

How to Solve the Billiard Room Dartboard Puzzle in Blue Prince

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The Billiard Room dartboard puzzle is solved from the center outward, not with normal PEMDAS precedence. Read each colored section in spatial order, apply its operation to the running total, then click the final number on the dartboard.

The dartboard color key

Color What to do
Blue Establish the starting value or add the blue number to the running total.
Yellow Subtract the yellow number.
Pink Multiply by the pink number.
Purple Divide by the purple number.

Blue sections provide the base value on a new sequence. After that, each color applies its operation to the result immediately before it.

How to calculate a board

  1. Identify the innermost highlighted section.
  2. Write down its value as your starting number.
  3. Move outward ring by ring, following the board’s layout.
  4. Apply each color’s operation immediately; do not reorder the expression using PEMDAS.
  5. When every section and bullseye modifier has been processed, click that final number around the dartboard.

The answer is normally a number from 1 to 20. A wrong click resets the sequence, so you can calculate the same board again.

Why PEMDAS gives the wrong answer

This puzzle uses spatial order rather than conventional arithmetic precedence. For example, a pink multiplication that appears after a yellow subtraction is performed after the subtraction, even though multiplication would normally come first in PEMDAS.

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#1 Best Overall
Blue Prince Day One Edition - PlayStation 5
  • DRAFTING YOUR JOURNEY - Upon reaching a closed door in Mt. Holly, you decide what room appears behind it and each decision shapes your path as you navigate through the manor. Every door can reveal new and exciting chambers that contain their own unique challenges and secrets. But be careful how you draft, for each day the manor’s floor plan resets and the rooms you saw today may not be the same rooms you see tomorrow.
  • EVERY STEP COUNTS - Your progress each day is shaped by the rooms you select to draft and the tools you find within them. Items in the game can be used in a number of creative ways to fuel your exploration deeper into the house, allowing you to adopt unique strategies to combat the challenges that each day brings.
  • A HISTORY IN THE MAKING - As the heir of Mt. Holly, you have been tasked to explore its shifting halls in search of Room 46. Yet as your journey takes you further into the mansion’s depths, you start to discover that there is more lurking under the surface than a missing room. Investigate a past woven with the threads of blackmail, political intrigue, and the mysterious disappearance of a local children’s book author.
  • DAY ONE EDITION BONUSES - Pack-in bonuses include 18” x 12” fold-out poster of the magnificent Mt. Holly Manor and a download code for the official game soundtrack.

Bullseye modifiers

Square bullseye

A square bullseye squares the running result associated with the bullseye’s color. If the relevant value is 4, the modifier makes it 4 × 4 = 16.

Diamond bullseye

A diamond bullseye reverses the digits of the relevant number: 41 becomes 14, and 12 becomes 21. Apply this to the number tied to the diamond’s color before selecting the final answer.

Rank #2
Blue Prince - PS5
  • The physical edition will include a fold-out poster of the magnificent Mt. Holly Manor
  • Additionally, all pre-orders will include a download code for the official game soundtrack. This code will be included on a voucher inside the game pack for all D1 orders
  • DRAFTING YOUR JOURNEY - Upon reaching a closed door in Mt. Holly, you decide what room appears behind it and each decision shapes your path as you navigate through the manor. Every door can reveal new and exciting chambers that contain their own unique challenges and secrets
  • EVERY STEP COUNTS - Your progress each day is shaped by the rooms you select to draft and the tools you find within them. Items in the game can be used in a number of creative ways to fuel your exploration deeper into the house, allowing you to adopt unique strategies to combat the challenges that each day brings
  • A HISTORY IN THE MAKING - As the heir of Mt. Holly, you have been tasked to explore its shifting halls in search of Room 46. Yet as your journey takes you further into the mansion’s depths, you start to discover that there is more lurking under the surface than a missing room

Worked examples

Two blue sections

Blue 5 followed by blue 7: 5 + 7 = 12. Click 12.

Subtraction

Blue 12 followed by yellow 10: 12 − 10 = 2. Click 2.

Multiplication

Blue 5 followed by pink 2: 5 × 2 = 10. Click 10.

Subtract, then multiply

Blue 15, yellow 11, pink 3: 15 − 11 = 4, then 4 × 3 = 12. Click 12.

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Rank #3
Blue Prince - P5
  • Brand new. UK Import PAL version. Game in English. UK PSN account may be required for any online features.

Multiply, then subtract

Blue 11, pink 3, yellow 13: 11 × 3 = 33, then 33 − 13 = 20. Click 20.

Square bullseye example

Blue 4 with a blue square bullseye: 4 × 4 = 16. Click 16.

Rank #4
Blue Prince Life Sim Game 26
  • Royal prince life simulation
  • Explore palace and kingdom areas
  • Training, missions, and daily tasks
  • Fun mini games and challenges
  • Ride horses and unlock new skills
Independent reader supportYour contribution helps us test, update, and keep practical guides available for everyone.Support on Ko-Fi

What changes as you progress

The opening board is usually a single highlighted inner blue number, so selecting that number solves it. Later boards add more colored sections, divisions, bullseye modifiers and harder arithmetic. Destructoid’s described sequence normally involves four equations after that initial selection, while later runs can present a greater number and variety of boards.

The solutions are randomized, so a fixed answer list cannot reliably solve every run. Calculate the board currently displayed rather than relying on a previous solution.

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Rewards and repeat appearances

Completing the puzzle is optional, but possible rewards include Security Keycards and Keys. The dartboard puzzle can return on another day with different solutions and rewards.

Quick Recap

Bestseller No. 2
Blue Prince - PS5
Blue Prince - PS5
The physical edition will include a fold-out poster of the magnificent Mt. Holly Manor
$44.80
Bestseller No. 3
Bestseller No. 4
Blue Prince Life Sim Game 26
Blue Prince Life Sim Game 26
Royal prince life simulation; Explore palace and kingdom areas; Training, missions, and daily tasks
$11.99

Quick troubleshooting checklist

  • Start at the innermost highlighted section, not the largest visible number.
  • Follow rings from center to edge.
  • Use subtraction and multiplication in the order shown on the board, not PEMDAS order.
  • Check whether a square or diamond bullseye changes a value.
  • Click the final result from 1 to 20, then retry after a reset if the click was wrong.

Product prices and availability are accurate as of the date/time indicated and are subject to change. Any price and availability information displayed on Amazon at the time of purchase will apply.

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