Wisconsin FORWARD Grade 6 Math Free Worksheets: Free Printable PDFs Covering Every Grade 6 Skill

There is a moment, somewhere in the first months of sixth grade, when a student realizes that math is no longer just a list of facts to recall. It has become a way of comparing things, of describing how one quantity moves with another. A ratio sits two numbers side by side. A rate ties one of them to time or distance. A percent takes that same comparison and scales it to a hundred. The arithmetic underneath is not new — but the thinking is, and that is the real work of the year.

The rest of sixth grade keeps pushing in that direction. The number line grows in both directions, so negatives are now fair game, and the coordinate plane opens into four full quadrants. Dividing by a fraction stops being a mystery and becomes a move a student can explain. Variables appear inside expressions, equations, and inequalities, standing in for the value a student has to track down. And before the year ends, your sixth grader will be measuring area, volume, and surface area, and reading data sets for what they actually say.

These 72 worksheets were built to make all of that manageable, one skill at a time. Whether your sixth grader is in Milwaukee, Madison, Green Bay, or Kenosha, each PDF gives them a single idea, a clear example, and enough practice to make it feel routine.

What’s on this page

Seventy-two single-skill PDFs, each aligned to the Wisconsin Mathematics Standards at Grade 6. Every file does exactly one job. A student working on unit rates is not also being quizzed on volume, and a student practicing inequalities is not getting tangled up in box plots. One skill, one page of practice, one clear focus.

Each PDF opens with a one-page Quick Review that explains the skill in plain language and works through a complete example. Then come 20 practice problems that build from straightforward to genuinely challenging, followed by 4 word problems that set the skill in a real context. The final page is a student-facing answer key — not just answers, but short, friendly explanations a sixth grader can read alone and learn something from.

Ratios, Rates, and Percents

• What Is a Ratio? — [6.RP.1] compare two quantities and write the comparison three ways
• Using Ratio Language — [6.RP.1] describe a ratio in words — ‘for every,’ ‘to,’ and ‘per’
• What Is a Rate? — [6.RP.2] a ratio that compares two different units, like miles per hour
• Finding the Unit Rate — [6.RP.2] divide to find the cost or amount for exactly one
• Tables of Equivalent Ratios — [6.RP.3] build a ratio table and fill in the missing values
• Graphing Ratios — [6.RP.3] plot a ratio table and see the straight line it makes
• What Is a Percent? — [6.RP.3] a percent is just a ratio out of 100 — and how to read it
• Solving Percent Problems — [6.RP.3] find the part, the percent, or the whole
• Solving Rate and Ratio Word Problems — [6.RP.3] turn a real-world story into a ratio you can solve
• Converting Measurement Units — [6.RP.3] use ratios to switch between units like feet and inches
• Personal Financial Literacy — [6.RP.3] real-money math: prices, tips, and simple percent work
• Proportional vs. Non-Proportional Relationships — [6.RP.2] tell which relationships keep a constant ratio and which don’t
• Financial Literacy: Budgeting and Saving — [6.RP.3] plan a budget, track spending, and set a savings goal
• Ratios with Scale Drawings — [6.RP.3] use a scale to move between a drawing and real life

The Number System

• Dividing Fractions by Fractions — [6.NS.1] multiply by the reciprocal — and understand why it works
• Multi-Digit Division — [6.NS.2] the standard algorithm for dividing large whole numbers
• Decimal Operations — [6.NS.3] add, subtract, multiply, and divide decimals cleanly
• Greatest Common Factor and Least Common Multiple — [6.NS.4] find the GCF and LCM and know when to use each
• The Distributive Property with Common Factors — [6.NS.4] rewrite a sum by pulling out the greatest common factor
• Understanding Positive and Negative Numbers — [6.NS.5] what negative numbers mean in temperature, money, and elevation
• Opposites and Absolute Value — [6.NS.7] opposites flip the sign; absolute value is distance from zero
• Rational Numbers on the Number Line — [6.NS.6] place fractions, decimals, and negatives exactly where they go
• The Coordinate Plane — [6.NS.6] plot points in all four quadrants using ordered pairs
• Comparing and Ordering Rational Numbers — [6.NS.7] use the number line to order positives, negatives, and fractions
• Distance on the Coordinate Plane — [6.NS.8] find the distance between two points that share a line
• Integer Addition and Subtraction — [6.NS.5] add and subtract positives and negatives with confidence
• Integer Multiplication and Division — [6.NS.5] the sign rules for multiplying and dividing integers
• Compute with Integers in Context — [6.NS.5] real situations where negative numbers do the work

Expressions and Equations

• Exponents and Order of Operations — [6.EE.1] evaluate powers and run PEMDAS in the right order
• Translating Words into Expressions — [6.EE.2] turn a phrase into an algebraic expression
• Terms, Factors, and Coefficients — [6.EE.2] name the parts of an expression so you can talk about them
• Evaluating Expressions — [6.EE.2] substitute a value for the variable and compute
• Equivalent Expressions — [6.EE.3] use properties to show two expressions are the same
• Variables in Real-World Problems — [6.EE.6] let a letter stand for an unknown and model a situation
• Solving One-Step Equations — [6.EE.7] undo one operation to isolate the variable
• Writing Inequalities — [6.EE.8] translate ‘at least,’ ‘no more than,’ and ‘fewer than’ into symbols
• Graphing Inequalities on a Number Line — [6.EE.8] open or closed circle, then shade the right direction
• Two Quantities That Change Together — [6.EE.9] independent and dependent variables, tables, and graphs

Geometry

• Area of Triangles — [6.G.1] one-half base times height — for every kind of triangle
• Area of Parallelograms and Trapezoids — [6.G.1] the area formulas for two more four-sided shapes
• Volume of Rectangular Prisms — [6.G.2] volume with fractional edge lengths, using unit cubes
• Polygons on the Coordinate Plane — [6.G.3] draw a polygon from coordinates and find its side lengths
• Finding Area on the Coordinate Plane — [6.G.3] use coordinates to find the area of a plotted figure
• Nets and Surface Area — [6.G.4] unfold a solid into a net and add up every face
• Transformations on the Coordinate Plane — [6.G.3] slide and reflect figures and track the new coordinates
• Area of Circles Introduction — [6.G.1] a first look at radius, diameter, and the area of a circle

Statistics and Probability

• Statistical Questions — [6.SP.1] tell a question that has variability from one that does not
• Describing Data: Center, Spread, and Shape — [6.SP.2] the three things every data set has — and how to name them
• Mean and Median — [6.SP.3] two measures of center and when each one tells the truth
• Measures of Spread — [6.SP.3] range and mean absolute deviation — how spread out the data is
• Dot Plots and Histograms — [6.SP.4] two ways to picture how often each value shows up
• Box Plots — [6.SP.4] the five-number summary and the box it builds
• Summarizing Data and Making Comparisons — [6.SP.5] describe a data set in a sentence and compare two of them
• Introduction to Probability — [6.SP.5] how likely is it — from impossible to certain, as a number
• Stem-and-Leaf Plots — [6.SP.4] organize a data set while keeping every original value
• Circle Graphs — [6.SP.4] read a pie chart and connect each slice to a percent
• Data Displays Extended — [6.SP.4] choose the right graph and read it carefully

Number and Operations Practice

• Writing Ratios in Different Forms — [6.RP.1] the same ratio as a fraction, with a colon, and in words
• Equivalent Ratios — [6.RP.3] scale a ratio up or down and keep it the same
• Comparing Unit Rates — [6.RP.2] find the better buy by comparing rates for one
• Proportions and Cross Multiplication — [6.RP.3] set two ratios equal and solve for the missing value
• Simplifying Fractions — [6.NS.4] divide out the common factor to write a fraction lowest-terms
• Adding Fractions with Unlike Denominators — [6.NS.4] find a common denominator, then add
• Subtracting Fractions with Unlike Denominators — [6.NS.4] find a common denominator, then subtract
• Adding and Subtracting Mixed Numbers — [6.NS.4] work with the whole and fraction parts, including regrouping
• Multiplying Fractions — [6.NS.1] multiply across — and simplify before or after
• Multiplying Mixed Numbers — [6.NS.1] rename as improper fractions, then multiply
• Dividing Fractions — [6.NS.1] keep, change, flip — divide by multiplying the reciprocal
• Dividing Mixed Numbers — [6.NS.1] rename as improper fractions, then divide
• Decimal Place Value — [6.NS.3] name each digit’s value, from tenths to thousandths
• Comparing and Ordering Decimals — [6.NS.7] line up the place values and order decimals correctly
• Area of Rectangles and Squares — [6.G.1] length times width — including fractional and decimal sides

How to use these worksheets at home

The most useful thing you can do with these PDFs is put them in order. Sixth-grade skills come in clusters, and a worksheet is far gentler when the page before it built the foundation. Try “What Is a Ratio?” before “Finding the Unit Rate” — once a student sees that a rate is a ratio with a “per” attached, the second page feels like a natural continuation. Do “Dividing Fractions by Fractions” and “Dividing Mixed Numbers” on consecutive days, since the second is the first with one more step folded in. The same logic links “Writing Expressions” to “Solving One-Step Equations.”

Short and steady wins here. Most of these worksheets take fifteen to twenty minutes — close to the outer edge of a sixth grader’s school-night focus. Two unhurried afternoons a week will move a student further than a single long weekend session that leaves everyone worn out. Keep a pencil and scratch paper within reach, and resist correcting mid-problem; the answer key is there for afterward, and it does the job well.

Wisconsin homework happens everywhere — at a kitchen table in Eau Claire, in a quiet hour after supper in Appleton, on a long evening in a small town up north. Print the page the night before, save the answer key for after the work is done, and let your student grade their own thinking. That last step, reading the explanations, is where the understanding takes hold.

A note about Forward Exam at Grade 6

Wisconsin students take the Forward Exam in mathematics in the spring. The math portion is built on the Wisconsin Mathematics Standards — the same standards these worksheets are aligned to — so the skills your student practices here and the skills the test asks about trace back to one source.

At Grade 6, the Forward Exam expects students to reason, not just calculate. It asks them to build a ratio from a word problem, plot and read points on the coordinate plane, solve a one-step equation or inequality, work with area and volume, and describe the center and spread of a data set. Because each PDF here targets exactly one of those skills, the spring testing window works as a checklist. If your sixth grader is solid on area but unsure about negative numbers, you can spot it plainly and spend your effort only where it is needed.

Want everything in one bundle?

If you would rather give your student one organized program than manage a stack of loose files, the bundle gathers it all into a single place.

Wisconsin Forward Exam Grade 6 Math Preparation Bundle — four practice-test books, full-length practice tests, and complete answer keys with step-by-step explanations.

A short closing

Sixth-grade math brings a lot of new ideas, but a student never has to take them all on at once. Bookmark this page, print one PDF tonight, and let your sixth grader begin with a single skill. Wisconsin kids handle hard things well when the next step is clear — and a worksheet on the table is about as clear as it gets.