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Logic Puzzles

Arrow Sudoku

Sudoku variant where digits along arrows must sum to the circle digit.

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What this tool does

Arrow Sudoku puzzles with overlay arrows. Place 1-9 in every row, column, and 3x3 box so each arrow’s line of digits sums to the value in the circled cell. Two puzzles per page with optional solutions.

Settings

Configure your Arrow Sudoku

2 Arrow Sudoku per PDF on A4.

Paper size

Preview

Sample (top-left 6x6)

Arrow Sudoku — variant overlays render in the full PDF.

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Printable Arrow Sudoku Puzzles for Quiet-Time Brain Training

Arrow Sudoku keeps everything you love about classic Sudoku and adds a gentle arithmetic twist. Each puzzle uses the familiar 9x9 grid with rows, columns and 3x3 boxes that must contain every digit from 1 to 9, but extra arrows drawn across the grid give you a second layer of logic to unpick.

This generator produces print-ready Arrow Sudoku worksheets in A4 or US Letter PDF format, with two puzzles per page so the arrows stay crisp and readable. A full solution key is optional, which means you can hand the sheet to a solver or keep the answers for your own reference.

Arrow Sudoku is a firm favourite for quiet evenings, commutes, classroom logic sessions, or simply as a travel puzzle to keep children and adults thinking. It is a thoughtful form of brain training that blends pattern recognition with light mental arithmetic.

How the arrow rule works

Each arrow starts in a circled cell and runs along a line of further cells. The digit in the circled cell equals the sum of the digits along the arrow’s line. All standard Sudoku rules still apply, so you must place 1 to 9 in every row, column and 3x3 box without repetition.

  • Rows, columns and 3x3 boxes each contain every digit from 1 to 9 exactly once.
  • The circled cell at the tail of an arrow equals the sum of cells along the line.
  • Arrow lines can repeat digits unless a row, column or box rule blocks that repeat.
  • The arrow constraint typically allows many fewer starting clues than classic Sudoku.

Who Arrow Sudoku is for

Beginners

If you already know classic Sudoku, Arrow Sudoku is a gentle next step. The arrow constraint gives you extra information to work with, which can actually make some cells easier to deduce than in a standard puzzle.

Puzzle enthusiasts

Serious solvers enjoy the interplay between sum logic and box logic. Spotting that a three-cell arrow summing to a small total must contain a 1 is exactly the kind of inference that makes variant Sudoku satisfying.

Classroom teachers

Arrow Sudoku works well as a low-noise logic activity. It fits a finishing-early task, a lunchtime puzzle club, or a quiet classroom warm-up. Children practise arithmetic and deductive reasoning at the same time.

Parents

Print a couple of pages for a long car journey, a waiting room, or a rainy afternoon. Arrow Sudoku is a screen-free activity that everyone in the family can try together.

What you can customise

  • Puzzle count: choose how many grids you want in the batch.
  • Include solutions: add a separate solution page for checking.
  • Seed: set a fixed seed to reproduce the same set of puzzles.
  • Paper size: download in A4 or US Letter PDF format.

Two puzzles per page is the default layout because arrows need enough room to stay legible when printed at 100% scale.

Worked example

Imagine an arrow with three cells along its line and a circled cell showing the digit 6. The three cells on the line must sum to 6. The only ways to make 6 from three distinct digits from 1 to 9 are 1+2+3. That single deduction narrows down three cells in one move, which is exactly the kind of breakthrough Arrow Sudoku rewards.

If the same arrow had been four cells long with a circled 10, the possible combinations of four distinct digits summing to 10 are 1+2+3+4. Again, you learn a great deal from one clue without any starting digits nearby.

How to use the tool

  1. Choose how many Arrow Sudoku puzzles you want per download.
  2. Decide whether you want the solution key included.
  3. Pick A4 or US Letter paper to match your printer.
  4. Click Generate and preview the first page.
  5. Download the PDF and print at 100% scale.

Methodology

The generator first builds a fully solved standard Sudoku grid. It then overlays a set of arrow shapes on top of that solution, chosen so each arrow’s circled cell equals the sum of the cells along its line. A reduced set of starting digits plus the arrow constraints is then presented as the puzzle, with the original solved grid saved as the answer key. In v1 the generator does not strictly verify uniqueness, but the combination of constraints usually keeps puzzles tight.

Tips for solving Arrow Sudoku

  • Start with the shortest arrows. A two-cell arrow with a small sum gives very restricted options.
  • Look at circled cells that share a row, column or box. The sum information can eliminate candidates several cells away.
  • Use pencil marks. Candidate lists help when the arrow and box constraints interact.
  • Treat each arrow like a tiny number-bond problem. That mindset makes the arithmetic feel natural.

Designed for A4 and US Letter printing

Every PDF is generated in both A4 and US Letter, so you can print from any home or school printer without needing to resize the page. Two puzzles per sheet gives you room to write and keeps arrows readable even on economy print settings.

Related logic puzzles

FAQs

Quick answers

How does the arrow rule work?

Cells along an arrow add up to the digit in the arrow’s tail (circled) cell.

Are puzzles guaranteed unique?

In v1 the arrow constraints are added on top of the standard sudoku givens but uniqueness is not strictly verified.

How many per page?

Two grids per page so the arrows stay clearly visible.

Want other variants?

Try Thermo Sudoku, Diagonal Sudoku, or Irregular Sudoku.

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