20+ Free Printable Graph Paper Templates (How to Use) – PDF

Graph Paper Guide and Templates [2021]

Graph paper is available as loose or bound leaf paper in notebooks. Technically;

Graph paper is a paper printed on a traditional grid of fine lines.

The rows are also used to reference the plotting or experimental data and diagrams of mathematical functions. It is commonly used in the fields of mathematics and engineering, and lab notebooks. It is less popular as electronic software like telephone boxes, and computer graphic software has replaced many of the previous uses. Some graphics users are printing grid pattern pdf images as needed instead of buying them pre-printed. Websites produce pdfs of graphic paper according to the requirements of the customer.

Types of Graph Paper

Several criteria can be selected for the classification, starting with the format. The millimeter sheet can be found in A4, A3, or even a translucent vegetable paper used in technical drawing. It is often available in 297 x 210 mm sheets, which are the measurements that correspond to A4.

It is added to the grammage, which is the parameter that measures the weight of the paper in grams per square meter. This measurement variable is used in the paper industry but also in the textile industry.

However, the most common is to classify it by the space they leave between lines, composing a geometry that can be very different from one paper to another and that, therefore, will have different uses:

Quad-ruled graph paper

This type of graph paper is for math projects like graphing lines or functions, for science projects like creating charts of experiment results or developing creative symmetrical or repeating designs. It usually has lines every 1/4 or 1/8 inches.

Quad-ruled graph paper with X-Y axis

It is the type of graph like a quad-ruled paper, but it comes with an X-Y axis plotted, saving time as you do not have to go through the process.

Multi-line graph paper

Multi-line graph paper is a variant of graph paper. It is like this one Quad-ruled, but with the exception that there are lines that cross each other and that act as a guide, standing out from the others. One can learn how to count numbers or to make bar charts and other types of visual data representation quickly using this type of graph paper.  The standard multi-line graph paper has an interval size of 4-5 squares and 1/4 inch grid.

Dot paper

Dot paper is a type of graph paper in which there are dots instead of lines. If you have to plot a graph, you will have to draw an X-Y axis.

Isometric paper

Isometric paper is a type of graph paper like dot paper, but it has a triangular grid instead of dots. It is usually used to plot three-dimensional graphs.  Create the vertical lines appropriately, then use the triangles’ sides to draw some horizontal lines. Since the grid produces angled cubes, the sketches tend to be three-dimensional right away.

Using a Graph Paper

Graph paper is much more than a notebook of squares, and its use goes far beyond serving as a notebook for mathematics.

Things you will need

You need specific tools to mark the graph paper and use it. Find out what things you need to have:

  • Graph paper
  • Pen/Pencil
  • Ruler

Labeling the graph

Graphs are an effective way of displaying data obtained visually. The graph would not make sense, however, without proper marking. Make sure your name and title the x-axis and y-axis to enable people to understand it without question. Following are the steps you need to follow to label a graph:

Draw a large cross on your graph paper-Draw a cross on the center of the graph. The lines that form the cross will be its principal axes. The horizontal line is called the “x” axis or the ordinate, and the vertical line is called the “y” axis or abscissa.

Label each axis with the variable-Determine which axis will have which variable on it. It usually depends on the type of variables; generally, the variable which changes over time is placed on the Y-axis and the other on the X-axis.

Identify the range of data you must include for each variable-Determine the range of data that one will assign to a variable. For making graphs appealing and straightforward, a range of data is used instead of all data if it is huge.

For example, the range between 0 to 10 with a difference of 20.

Decide how many units every line on the graph represents for each of your variables-Next, you must determine how much value you will assign to each unit on the graph. It is done for simplicity and serves the same function that a key does for a map.

For example, assign a value to a variable, like 10 represents 1000 units.

Plotting your data

Whenever we want to evaluate the relationship between two variables, we usually compile data into tables, which can be done by plotting the data.

Following are the steps you need to follow for plotting data on a graph paper:

Plot your data on the graph- The next step in the process is to plot your data on the graph by marking a dot against each value. Count how many wide boxes there are on each axis. In our case, suppose there are four boxes on the x-axis and three on the y-axis. Examine the data and determine the minimum and maximum values that should be plotted. Set the scale to evenly distribute the data over the region. Choose round numbers that are easily divisible by the number of boxes available and match the data.

Connect the left-most dot and the dot to its right with a straight line- For connecting, pick the leftmost dot and the dot on its right. In principle, it does not matter which dot you choose, but it is convenient to choose points that pass through or near grid lines as a practical matter. Next, connect these dots with a straight line.

Repeat the process if you are graphing multiple data sets- You may have more than one data set to be plotted; you will have to repeat the same process to plot data on a graph paper in this situation.

Write the graph’s title at the top of the page- The title is also often essential to make an insightful graph. The title does not necessarily repeat the axis labels, such as temperature vs. time but should provide some detail about the method that applies to the diagram. The refrigeration of the chemical reagent, for example, informs you of the phase (cooling) and sample (chemical).

Ways to Use a Graph Paper

A graph paper can be used for various purposes for data visualization and problem solving. Following are some of the main uses of a graph paper:

Mathematical graphing

The graph paper in all its versions is handy for calculus and mathematics for visualizing and solving different problems. One will be using graphing paper regularly to complete the work in classes like statistics and calculus. You can use our templates to carry out these tasks.

Art projects

Graph paper can help in art projects. Most poster boards come lined with diagrams on one page, so you can make sure the project is centered and more comfortable to finish. Graphing assignments are done more efficiently by dealing with this kind of paper. You can also adjust the scale of various art projects using a graph.

Home renovation projects

Another use of graph paper is a home renovation by scaling dimensions down to the graph scale. It gives you the ability to replicate the situation without making errors.

Landscaping projects

The landscaping of the project is another use of graph paper. You can use it to model a project on graph paper and decide where to place a particular object. It will help you determine things before doing them in the real world.

Presenting statistical charts

It is also useful for social sciences professionals, such as statistics, due to its validity in graphing and displaying probabilities.

Organizing craft projects

A graph paper can also be used for organizing craft projects. You can remodel different designs using it. You can easily do cross stitch or embroidery crafts using a graph.

Mapping an environment

Another use of graph paper is in mapping an environment. You can use graph paper to map our 3-dimensional environment and different spaces into a graph using the 2-dimensions.

Download Free Graphs

After reading the guide you will have an idea of what is involved in creating a graph paper. We are offering free graphs template that you can download and print for free and save the amount you will spend on buying them!

Cartesian Full Page Graph

Cartesian Half Page Graph

Dot Paper Half Graph


Multiline Quarter Graph

Multiline Quarter Inch Graph

Isometric Quarter Graph

Quad Eighth Ruled Graph

Quad Half Ruled Graph

Quad Quarter Ruled Graph

Graph Paper Template 01

Graph Paper Template 02

Graph Paper Template 03

Graph Paper Template 04

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Graph Paper Template 15

Graph Paper Template 16

Graph Paper Template 17

Graph Paper Template 18

Graph Paper Template 19

Graph Paper Template 20

    Quick Tips for You

    Following are some quick tips that will help you to use graph paper more efficiently to solve different problems in no time.

    Beginner’s block

    Some quick tips for you to solve basic arithmetic problems:

    • The number lines: Each section is immediately spaced when a number line is drawn on graph paper. The crosslines may be used to describe units, fives, tens, and hundreds.
    • Addition and subtraction: To add or subtract squares from a whole, use various colored pencils. You may also use a number line to illustrate that addition and subtraction are two different methods of going up and down.
    • Multiplication and division: By graphing 8×3, then four rows of six, and counting the corresponding squares, you will show how 12×2 gives the same result as 4×6.
    • Fractions: To demonstrate how many equal parts can make up a whole to solve fractions graphically, divide a rectangle on a standard graph paper into several equal parts using different color pencils.

    The pro guide

    Following are some tips that you can use to solve advanced problems:

    • Automatically use graph paper: Even though they do not specifically claim to use it, it will be easier to solve questions with graphs when you see them visually; specific problems such as calculus and econometric problems are easier to work out.
    • Graph paper as scratch paper: Using grid paper as your paper to make your mathematical scratch simpler and more accurate when arranging proof, minimizing formulae, etc.


    What is standard graph paper?

    8.5 x 11 cm graph paper is considered a standard graph paper with 1 x 1 cm grids.

    What is one unit on graph paper?

    The value of one unit on a graph paper depends on the value you have assigned to it. For example, if you assign 1 unit is equal to 100 metric tons, then it will represent 100 metric tons.

    How do you write units in a graph?

    Units in a graph paper are written within parenthesis.

    Final Words

    Graphs show the relationship between variables and how it changes. You can graph several data sets on a single line graph paper if they apply to the same two variables. This helps in visualizing complex data and problems.

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