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Free printable addition square

An Addition Square is a compact arithmetic grid with running totals printed along the right and the bottom. This page is a 4x4: some cells already show numbers, seven cells are blank, and the second row is missing its total, so you reconstruct both the addends and that hidden sum. It suits anyone who likes mental math more than a long worksheet — upper-elementary students and adults who want a five-minute logic-and-sums session.

Solution page included
Printable Addition Square puzzle page
Peek at the solutionAddition Square solution page

This download is a 6x9 inch high-resolution PNG of Puzzle 1, with a matching solution page that fills every blank cell and the missing row total. There is no signup, no PDF, and no interactive board — print the PNG whenever you want the puzzle on paper.

How to play

  1. Look at the 4x4 grid: given numbers occupy some cells, and totals sit to the right of rows 1, 3, and 4 and under every column.
  2. Fill each empty cell so every row and column adds up to the total printed beside it.
  3. The second row has no printed total; finish its four cells, then confirm that sum against the four column totals.
  4. Work from the most constrained line first — a row or column with only one blank is a single subtraction.

Print at 100% scale on letter or A4 so the 4x4 cells stay large enough to write in.

Frequently asked questions

Where is the answer key for this Addition Square?

A matching solution PNG is included in the same download as the puzzle page. Open that file to see every blank cell filled in, including the second-row total of 40 that the puzzle itself omits. Use it after you finish, or to unstick a single cell.

Is this Addition Square free to print?

Yes. The page is a free high-resolution PNG. You do not need an account, an email address, or a paid plan to download and print it. Print as many copies as you want for home or classroom use.

Who is this Addition Square for?

It is a short logic-and-addition exercise, not a drill sheet of mixed operations. Upper-elementary students who can add two-digit numbers will find it approachable, and adults who like compact number puzzles can finish it in a coffee break. The missing row total adds one extra deduction step.

How should I print this so the grid is usable?

Print at 100% scale on letter or A4 paper, not fit-to-page, so the 6x9 inch page keeps its original size. That leaves the 4x4 cells large enough to write in. If your printer defaults to shrinking, turn that option off.