Coordinate grid

Cartesian
graph paper

A uniform square coordinate grid in 18 grid sizes, any color and 5 paper formats — download a vector PDF free.

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About Cartesian paper

The coordinate grid, explained

Cartesian graph paper is named after René Descartes, whose coordinate system locates any point in a plane using two perpendicular axes (x and y). The paper replicates this framework: equally-spaced horizontal and vertical lines form a grid of identical squares.

The uniformity is what makes it universal — every square represents the same area and every line the same weight. No special interpretation is needed. It works immediately for any graphing task.

Cartesian vs. other types
FeatureCartesianEngineeringSemi-Log
Grid typeSingle uniformDual (2 sizes)Linear + log
Axis scaleLinearLinearMixed
Colors12 (independent)1
Best forAlgebra, basic sciencePrecision dataExponential data

Blank coordinate plane templates

One click sets the generator above to a ready-made coordinate plane with numbered axes. Download it as a PDF or print it at actual size.

Use cases

What is Cartesian graph paper used for?

Algebra and pre-calculus

Plotting linear functions, quadratic parabolas, absolute value functions, and systems of equations. The uniform grid makes counting units and identifying intercepts straightforward.

Linear equationsQuadraticsFunctions

Geometry and coordinate proofs

Drawing geometric shapes, proving congruence using coordinates, finding areas and perimeters, and constructing transformations.

ShapesTransformationsProofs

Physics lab data

Velocity-time graphs, force-extension curves, I-V characteristic curves, and any experiment where both variables change on linear scales.

Velocity-timeHooke's LawLab reports

Statistics: scatter plots

Hand-drawn scatter diagrams for correlation analysis, frequency histograms, cumulative frequency curves, and box-and-whisker plots.

Scatter plotsHistogramsCorrelation

Pixel art and design

Pixel art planning, cross-stitch and knitting pattern design, floor plan sketching, and any visual design work that benefits from a modular square grid.

Pixel artCross-stitchFloor plans

Economics and finance

Supply and demand curves, price-quantity graphs, budget constraint lines, and production possibility frontiers on linear-scale axes.

Supply & demandBudget linesEconomics

FAQ

Cartesian graph paper questions

What is Cartesian graph paper?+
Cartesian graph paper has a uniform grid of equally-spaced horizontal and vertical lines forming identical squares. Named after René Descartes and his coordinate system, it is the most widely used graph paper format in mathematics education worldwide.
Is Cartesian paper the same as quad paper or square grid paper?+
Yes — Cartesian, coordinate, square grid, and quad(rille) paper all describe the same format. The terms are used interchangeably; the format is identical.
What grid size should I use?+
For general classroom use, 1 cm is standard. For scientific work, 5 mm or 3 mm provides more squares per page. For US imperial use, ¼ inch is standard. For fine technical work, 2 mm or ⅛ inch maximizes precision.
What line weight should I choose?+
Medium suits most laser printers. For inkjet printers, choose Heavy or Extra heavy and print at normal or best quality, not draft.

Related types

Engineering paper

Dual-grid with sub-increment lines in a second color — more precision than standard Cartesian.

Semi-log paper

One linear axis and one logarithmic axis — ideal for exponential data.

Graph paper by size

Browse all Cartesian paper pre-configured by grid size: 1 cm, 3 mm, 2 mm, ¼ inch, and more.

Free graph paper — every type, any size

Cartesian, isometric, dot grid, polar, log-log, engineering, lined, and more — customise color, size, and line weight. Free PDF in seconds.

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