A4 is a fixed size: 210 mm across and 297 mm down. This page draws a grid inside that exact rectangle, in millimetres, and the spacing you set is the spacing that lands on the paper. Move any control and the preview updates at once.

Drawn in millimetres, in your browser. Nothing is generated on a server and nothing is uploaded. Every mark stays inside the printable area so an ordinary printer does not crop it.

Sheet · live previewA4 · 210 × 297 mm

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The fixed arithmetic of an A4 sheet

A4 is not a rough page size; it is a defined rectangle of 210 mm by 297 mm, and that pair of numbers drives every other number on the ruled sheet. A grid built for this rectangle is a different artefact from a grid drawn for an undefined page, because the square count is fixed by the sheet’s edges rather than chosen to look tidy. The arithmetic below is what the sheet imposes, not a set of preferences.

How the square count is found

Begin with the bare sheet: 210 mm wide and 297 mm tall. A desktop printer cannot reach the very edge, so a margin must be set aside. Take 6 mm as the realistic margin, since that is the clearance most printers need on all four sides. The ruled area then measures 198 mm across and 285 mm down.

Dividing that area by the spacing gives the square count, but only whole squares are counted: the ruling starts at the margin and steps by the spacing until the next step would pass the far edge. The leftover remains as a thin even border, which is why the count is never a round figure.

At 5 mm the width holds 39 columns (39 × 5 = 195 mm, leaving 3 mm over) and the height holds 57 rows (57 × 5 = 285 mm, leaving nothing). At 4 mm the width holds 49 columns (196 mm, 2 mm over) and the height 71 rows (284 mm, 1 mm over). At 10 mm the width holds 19 columns (190 mm, 8 mm over) and the height 28 rows (280 mm, 5 mm over).

SpacingColumns across (usable 198 mm)Width leftoverRows down (usable 285 mm)Height leftover
4 mm492 mm711 mm
5 mm393 mm570 mm
10 mm198 mm285 mm

The leftover is unavoidable: the sheet dimensions are not multiples of any useful spacing, so a grid that fills the width to the last millimetre would have to cut a partial square at the edge, and a partial square reads as a mistake. The same is true of every common spacing, which is why the count is stated as a whole number with a remainder rather than a tidy total.

Why A4 and US Letter are not the same sheet

A US Letter page is 215.9 mm wide and 279.4 mm tall. Beside A4 those figures look close enough to fool a glance but sit far enough apart to break a print. Letter is wider than A4 by 5.9 mm and shorter by 17.6 mm. Neither gap is trivial once a grid is involved.

A grid laid out to fill A4’s 210 mm width does not fill Letter’s 215.9 mm width, and a grid built to fill Letter’s width overruns A4’s 210 mm. The heights differ by 17.6 mm, which is more than three 5 mm squares, so a sheet designed for A4 loses or gains the better part of four rows of grid when forced onto Letter, and the reverse is equally true.

PropertyA4US LetterConsequence for a grid
Width210.0 mm215.9 mm5.9 mm wider; a width-filling grid will not match
Height297.0 mm279.4 mm17.6 mm shorter; more than three 5 mm rows lost
Long edge297 mm279.4 mmboth portrait, different lengths
Square count at 5 mm39 × 5740 × 52not the same sheet at all

What a user actually sees depends on the print driver. If the file is A4 and the tray holds Letter, and the dialog is set to 100 percent, the bottom 17.6 mm of the sheet has nowhere to go: either the last few rows are cut off, or the driver shrinks the whole page to fit, which changes every square size and defeats the point of a measured grid. The fix is to match the paper selector to the paper in the tray before printing, not to rescale afterwards.

Margins and the printer’s unprintable edge

No printer reaches its own edge. The mechanical path leaves a clearance strip where nothing is marked; on a laser that strip is commonly four to six millimetres and on many inkjets it is wider. On A4 the strip eats directly into the 210 by 297 mm, and the usable ruling area is whatever remains after the margin is removed from all four sides.

Taking the margin off leaves the following usable rectangles, and the whole-square count at 5 mm spacing follows from each:

MarginUsable widthUsable heightColumns (5 mm)Rows (5 mm)Whole squares
4 mm202 mm289 mm40572,280
5 mm200 mm287 mm40572,280
6 mm198 mm285 mm39572,223
7 mm196 mm283 mm39562,184
8 mm194 mm281 mm38562,128

A larger margin costs whole squares, not fractions: stepping from 6 mm to 7 mm drops a full row, and from 7 mm to 8 mm drops a full column. The trade is straightforward — more clearance for the printer means fewer squares on the sheet — and the table lets the choice be made with the actual count in view rather than by guesswork.

Choosing a spacing for A4 work

The five spacings offered cover distinct kinds of A4 work, and each leaves a different edge:

SpacingSuited to on A4Partial-edge note
2 mmdense engineering drawings, fine data plotsleaves at most 1 mm over; edge looks even
4 mmgeometry, neat handwriting, small diagramsup to 2 mm over; barely visible
5 mmthe standard squared sheet, plotting, plans3 mm over the width; the classic even border
7 mmprimary arithmetic, pen-and-ink sketchingup to 3 mm over; still reads as even
10 mmlarge diagrams, posters, group work8 mm over the width; a clear ragged strip

A ragged edge of partial squares is normal and, for most A4 work, harmless: the eye reads the grid from the margin inward and the leftover sits quietly at the far side. It becomes a problem only when the grid must meet a physical object — a plotted curve that runs to the sheet edge, or a diagram that must align with a printed border — in which case a smaller spacing that leaves under 3 mm is the safer choice. Above about 10 mm the sheet stops behaving like graph paper and starts behaving like a layout guide.

Where the axes fall on an A4 sheet

Switching the axis cross on adds a pair of darker lines that meet in the middle, and the numbers step outward from that meeting point. If the cross is centred, the origin sits in the middle of the usable rectangle, which on a 5 mm ruling of 198 by 285 mm places it 19.5 squares from the left and 28.5 squares from the top — half a square off a line, which is why a centred cross rarely lands exactly on a grid intersection.

Centring is not always the right call for plotting. A graph that uses only the upper-right quadrant wastes the lower-left half of an A4 sheet, and a plot that runs to the right edge needs the origin pushed left so the curve has room. Moving the origin is a matter of where the data lives, not a default to accept.

On a 5 mm grid across A4’s 198 mm width, 39 columns are available. A label is placed every fifth column, giving marks at 5, 10, 15, 20, 25, 30 and 35 squares out — seven labelled intervals across, with four unlabelled squares left at each end. Down the 57-row height the same rule gives eleven labelled intervals. Those figures are what the paper can actually carry, and they are set by the sheet, not chosen.

Checking a printed A4 sheet

A printed sheet should be measured before a batch is run, because the browser and the driver sit between the drawing and the paper. The check is a short fixed procedure:

  1. Print a single sheet at 100 percent with A4 selected, not a stack.
  2. Set a ruler against a run of squares. At a 5 mm step, ten gaps must measure fifty millimetres from one line centre to the tenth.
  3. Compare the measured span with 50 mm. A shortfall of about three percent means the driver resized the sheet — usually a fit to paper setting left active in the dialog.
  4. Turn that setting off and print once more; the span should then read 50 mm.
  5. If the printed border is uneven, raise the margin by the measured shortfall and print again.

A three percent shortfall is not rounding: it is the signature of a driver that resized the sheet to fit the paper, so ten 5 mm spaces come out near 48.5 mm instead of 50. The drawing was correct; the pipeline altered it. Correcting the setting restores the millimetre, and the sheet then matches the arithmetic above.

Honest limits

  • The sheet is drawn with a fixed margin and no bleed, so it is not suited to edge-to-edge or borderless printing.
  • No printer guarantees a true borderless A4 run; the unprintable edge varies by model and by feed.
  • The page cannot correct a sheet that feeds skewed through the printer; a crooked entry produces a crooked grid.
  • The axes are numbered in grid squares only, with no way to substitute custom physical units on the lines.
  • There is no automatic pagination, so a plot that would span more than one A4 sheet is not split for you.
  • Graph paper generator — a separate page that leaves the paper size as a setting you choose, rather than fixing it to A4.
  • Printer margin guide — how much of the A4 edge a given printer refuses to mark, and how to measure it.
  • Printing guide — the general checklist for A4 against Letter and exact scaling.
  • Lined paper — ruled lines for writing instead of a grid.
  • Dot grid paper — small dots where the lines would meet, handy for bullet notes and light sketching.
  • Paper templates — the hub for graph, dot, ruled and checklist stock in one place.