Virginia SOL Grade 6 Math Free Worksheets: Printable SOL-Aligned Practice, No Signup Needed

Watch a sixth grader meet their first real algebraic expression and you can almost see the gears change. For years, math meant numbers doing things to other numbers. Now a letter stands in the middle of the problem, holding the place of a quantity nobody has named, and the student has to get comfortable reasoning about something they cannot yet see. That is the signature move of sixth grade — and it is repeated across the whole year, in negative numbers, in rates, in the four-quadrant plane.

The year covers ratios, rates, and percents; dividing fractions by fractions; fluency with multi-digit and decimal arithmetic; integers and the coordinate plane; algebraic expressions, one-step equations, and inequalities; area, volume, and surface area with nets; and the first serious statistics — mean, median, the spread of data, dot plots, box plots, and an opening look at probability. It is a connected web of ideas, and the students who do best are the ones who build it strand by strand.

These worksheets were made for that kind of building. Whether home is Virginia Beach, Norfolk, Richmond, or Chesapeake, they offer one clear skill at a time, with enough practice to make it stick.

What’s on this page

Seventy-two single-skill PDFs, each aligned to the Virginia Standards of Learning (SOL) for Mathematics at Grade 6. Every file targets one skill and leaves the rest alone — so a student working on percent problems is not also wrestling with nets, and a student on the coordinate plane is not knocked off track by box plots.

Each PDF opens with a one-page Quick Review that explains the skill in plain language, with one example worked from start to finish. Twenty practice problems follow, built from straightforward to genuinely challenging, then four word problems that drop the skill into a real context. The closing page is a student-facing answer key — short, friendly explanations a sixth grader can read on their own, not just a list of final answers.

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 reliable approach is to work in connected pairs rather than picking sheets at random. Sixth-grade skills come in families, and doing a pair in one week lets the second sheet build on knowledge that is still warm. Run “What Is a Ratio?” then “Finding the Unit Rate.” Run “Dividing Fractions by Fractions” then “Dividing Mixed Numbers.” Run “Area of Triangles” then “Area of Composite Figures.” The relationship between the two does part of the teaching.

Keep each sitting short — fifteen to twenty minutes — and set it on the calendar twice a week. That steady cadence will outdo a long, anxious session every time, and a sixth grader is much more willing to start something with a clear end. Have your student finish the whole page before opening the answer key, then walk through it together. That review is where the learning happens; reading why a step works is what turns a right answer into real understanding.

Virginia spreads from the coast to the mountains, and homework finds its place in all of it — a quiet hour after dinner near the water in Norfolk, a slow Sunday in a Richmond neighborhood, an evening in a small town in the valley. A single PDF fits any of those. Print it the night before and let the math happen at whatever table is handy. And when a worksheet goes badly, treat it as a signpost rather than a setback — it has pointed straight at the one skill that needs another pass, and revisiting a single named skill is far less daunting than re-reviewing a whole stretch of the year.

A note about SOL at Grade 6

Virginia students take the SOL — Standards of Learning — assessment in Mathematics each spring. It is built on the Virginia Standards of Learning (SOL) for Mathematics, so the skills on these worksheets and the skills on the test are drawn from one shared framework.

The Grade 6 SOL asks for more than quick computation. It expects students to interpret a ratio or rate in context, reason with negative numbers, translate a word problem into an expression or equation, and choose the approach that actually fits the question. It uses a range of question types and rewards genuine understanding over memorized procedure. Because each PDF here aligns to a single standard, the spring window works as a checklist: find the weak spots, work just those pages, and leave the strong skills be.

A short closing

Sixth-grade math is a web of ideas, and a student builds it one strand at a time. Bookmark this page, print a single PDF tonight, and let your child begin with one small, clear skill. Virginia kids do real work well when the next step is laid out plainly — and a worksheet on the table is about as plain as a next step gets.

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