# 5mm Graph Paper > Standard 5mm square grid: the most popular spacing for math, engineering and general use. Free printable 5mm graph paper from Printable Graph Paper. Page: https://printablegraphpaper.org/graph-paper/graph-paper-5mm The 5 mm square grid is the international standard for math, science and engineering work. Each cell is small enough that a handwritten digit fits inside it, and two cells line up to exactly 1 cm, so the page doubles as a built-in measuring tool. ## At a glance - Category: [Grid Paper](https://printablegraphpaper.org/category/grid) - Paper sizes: Letter (8.5" × 11"), A4 (210 × 297 mm), 11" × 17", Legal (8.5" × 14"), A3 (297 × 420 mm), A2 (420 × 594 mm), Poster (18" × 24"), Movie Poster (27" × 40") - Line colors: Faint, Light, Gray, Dark, Black, Blue, Green (default: Gray) - Format: vector PDF download at exact physical scale, or direct browser print - Price: free, no signup, no watermark; printed sheets may be used for personal, classroom and commercial work ## Good for - Algebra, geometry and calculus homework - Engineering sketches and schematics - Floor plans and room layouts - Pixel art and cross-stitch patterns ## About 5mm graph paper The 5 mm square grid is the paper most of the world learned mathematics on. It is the standard ruling for European school exercise books, lab notebooks, and exam booklets, and it has been since the metric system rolled through education systems in the 19th and 20th centuries. Its staying power comes from a single arithmetic coincidence: two 5 mm cells make exactly one centimetre, so the grid is simultaneously a graphing surface and a ruler. That makes it the natural home for any work where lengths and counts matter at the same time: plotting curves, sketching machine parts, laying out floor plans, or counting stitches in a pattern. ## What's on the page Every line is drawn at exactly 5 mm spacing, at a 0.15 mm hairline weight. There are no major / minor distinctions on this template. Every cell carries equal visual weight, matching the look of a real continental exercise book. The grid is centred so leftover space is split evenly between opposite margins, which is why the cell count varies slightly with paper size: about 38 × 51 cells on US Letter, 37 × 54 on A4. Lines run cleanly to the grid edge so you can count cells without losing track at the boundary. ## How to use it well - **Count, don't measure.** Two cells equal 1 cm. Need a 74 mm line? Count fourteen cells plus four-fifths of the fifteenth. No ruler needed, no measurement error from a slipping straightedge. - **Pick the scale before you plot.** It's tempting to squash an axis to make a curve 'fit nicely', but it destroys the visual intuition the grid exists to provide. Decide that one cell = one unit (or 0.1, or 10) before you put pen down, and stick to it even if the data only uses a corner of the page. - **Label every fifth tick, not every one.** On long axes, marking 0, 5, 10, 15 reads instantly. Marking 0, 1, 2, 3, …, 25 looks fussy and forces the reader to count anyway. The eye treats every fifth gridline as a natural anchor. - **Use Faint for under-drawing.** If the grid is meant to be guidance, not part of the final drawing, switch the line colour to Faint. Pencil and pen sit cleanly on top and the grid drops out when you photograph or scan with mild contrast adjustment. ## Common mistakes to avoid - Printing with 'Fit to page' enabled. The page gets scaled to about 96 percent and every cell becomes 4.8 mm. Small enough to make measurement claims wrong, large enough that you won't notice from across the room. - Treating 5 mm and [1/4 inch](https://printablegraphpaper.org/graph-paper/graph-paper-quarter-inch) as interchangeable. They aren't: 1/4 inch is 6.35 mm, about 27 percent larger per side (and roughly 61 percent larger by area). Pre-printed templates and overlays designed for one won't fit the other. - Photocopying the Faint colour. Most office copiers throw away the lightest grey entirely. If the paper needs to survive duplication, use Gray or darker. ## FAQ ### Is 5 mm graph paper the same as quad-ruled? Close but not identical. [Quad-ruled is 1/4 inch](https://printablegraphpaper.org/graph-paper/graph-paper-quarter-inch) (6.35 mm), the US engineering standard. 5 mm is the metric standard. The metric grid gives you about 60 percent more cells per page (27 percent more per side, applied to two axes), and pre-printed overlays for one won't line up with the other. ### Can I print this on US Letter? Yes. Choose Letter from the size picker, set your printer to 100 percent scale (never 'Fit to page'), and set margins to Minimum or None. The grid will land slightly off-centre relative to the paper edge because Letter isn't a metric size, but the cells themselves stay exactly 5 mm. ### Why are all the lines the same weight? This template mimics a real European exercise book, uniform hairlines, no decade accents. If you want a heavier line every 5 or 10 cells, use the [Engineering Paper template](https://printablegraphpaper.org/graph-paper/engineering-paper) instead. ### Does it work for graph theory diagrams? It works, but [dot grid](https://printablegraphpaper.org/graph-paper/dot-grid-paper-5mm) is usually better. Solid gridlines compete visually with the edges and nodes you draw on top; dots provide alignment without contributing ink. ### What's the right line colour for a scanned worksheet? Light or Gray. Faint disappears at scan compression, and Dark / Black can interfere with OCR if you're scanning written content. ## How to print at the correct size Set the browser print scale to 100% (never "Fit to page") and margins to None or Minimum, or use the Download button for a PDF dimensioned in millimetres. To check, measure 5 cells with a ruler: a 5 mm grid should read 25 mm.