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Blue Prince / Dartboard puzzle

Blue Prince dartboard puzzle: calculate the answer

Quick answer

Start at 0, solve the innermost dartboard ring first, and work outward. On each ring use the color operation on its number(s): blue adds, yellow subtracts, pink multiplies, and purple divides. Apply a bullseye modifier after the matching ring, then click the final integer on the number ring. A wrong click resets the sequence.

Color operations

Dartboard colors and operations
ColorOperation
BlueAdd the lit numbers; this is the base/additive ring.
YellowSubtract the lit number(s).
PinkMultiply by the lit number(s).
PurpleDivide by the lit number(s).

When several numbers share one ring, combine that ring before moving outward. Do not use ordinary order of operations across rings: the board’s inside-to-outside rings are the order.

Some older screenshots or guides call the additive-looking section green. If your display labels colors differently, use the game’s Color Assist pattern/label; the additive operation is the same.

Work from the bullseye outward

  1. Write 0 as the starting value.
  2. Read the innermost colored ring. Apply its operation to its lit number or numbers.
  3. Apply a bullseye modifier after its ring: a square squares the current result, and a diamond reverses its digits. If the bullseye shows wavy lines, count them: 2 lines = nearest 1, 4 lines = nearest 10, and 6 lines = nearest 100 (for example, 150 rounds to 200).
  4. Continue through each ring from inside to outside. If an outer symbol cancels, halves, doubles, or reverses a number, apply that change before the ring’s operation.
  5. Click the resulting integer from 1 to 20. A correct answer advances to the next board; a wrong answer returns to the first board.
Original dartboard arithmetic exampleA left to right schematic showing zero, then add six, subtract three, multiply by five, divide by fifteen, and finish at one.RING ORDER, NOT STANDARD PRIORITYSTART0BLUE +66YELLOW −33PINK ×515PURPLE ÷151((0 + 6) − 3) × 5 ÷ 15 = 1

Swipe sideways to read the full step-by-step schematic.

Original arithmetic schematic — it explains ring order and is not a screenshot or a fixed in-game board.

For a simple check, blue 6, yellow 3, pink 5, and purple 15 produce ((0 + 6) − 3) × 5 ÷ 15 = 1 in ring order. The board gets additional symbols and harder variants after repeated solves, so calculate the board in front of you rather than copying this example.

Wavy-line rounding
Bullseye markRound to the nearest
2 wavy lines1
4 wavy lines10
6 wavy lines100 (150 becomes 200)

The wavy-line extension and 150 → 200 example are from Shacknews; treat it as a later modifier reference and follow the marks on the board in front of you.

After the final board

Once the required sequence is solved, the dartboard rises and reveals a reward. It is usually keys, with special keys possible depending on the run and progression. The exact number of boards and reward pool can change as the puzzle evolves.

Sources

The color rules, inside-out order, reset behavior, and square/diamond modifiers are cross-checked against PC Gamer’s dartboard guide and Shacknews’ dartboard guide. PC Gamer labels the additive color blue; the Shacknews example calls the same base operation green, so the page records that display/source discrepancy. Shacknews is the source for the 2/4/6 wavy-line rounding extension shown above; other advanced marks can vary by board, so this page does not claim a complete modifier catalogue.