Delaware DeSSA Grade 6 Math Free Worksheets: Printable Test-Prep Worksheets with Answer Keys

By sixth grade, a student has spent years learning how to do math. Now the year asks them to learn how to think with it. A ratio is not a calculation so much as a comparison. A percent is a way of describing a part of a whole. Dividing fractions is less about a new procedure than about understanding what division even means when the pieces are fractional. Sixth grade is the year math becomes something you reason through, not just something you carry out.

And there is plenty of it. Across one year, a sixth grader works through ratios, rates, and percents; dividing fractions and operating with multi-digit decimals; negative numbers and the coordinate plane; expressions, one-step equations, and inequalities; area, volume, surface area, and nets; and a real start in statistics and probability — mean, median, spread, dot plots, box plots. Every topic is reachable. The hard part is meeting them all together.

These 72 worksheets break that year into single steps. Whether your sixth grader is in Wilmington, Dover, Newark, or Middletown, each PDF gives them one skill, one clear example, and enough practice to make it feel familiar.

What’s on this page

Seventy-two single-skill PDFs, each aligned to the Delaware Mathematics Standards at Grade 6. Each file does one thing. A student working on percents is not also being tested on nets, and a student practicing the coordinate plane is not getting pulled into statistics. A narrow focus is what lets practice actually take hold.

Every PDF begins with a one-page Quick Review — the skill in plain language with one example worked from start to finish. Then 20 practice problems that build from easy to challenging, then 4 word problems that put the skill in a real setting. The closing page is a student-facing answer key with short, friendly explanations, so a sixth grader can check their work and learn from a mistake on their own.

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

Begin with a routine that survives a busy week. Two afternoons, one worksheet each, is enough — and each one is a single sitting of about fifteen to twenty minutes. The short length is intentional: a sixth grader will sit down for a focused page far more readily than for a hazy “go study math.”

Then pair the skills that belong together. “Understanding Integers” before “Graphing Points on the Coordinate Plane” means the negative numbers are comfortable before the four quadrants need them. “Writing Algebraic Expressions” before “Solving One-Step Equations” hands a student the vocabulary before the task. Worked as families, the skills build on each other and each page becomes a small next step.

In a small state, homework still happens in a lot of corners — a row house in Wilmington, a quiet kitchen in Dover, a table in Middletown between dinner and bedtime. The routine doesn’t change: print the page the night before, keep the answer key for after the work is done, and let your student grade their own reasoning. That self-check, especially reading why an answer was wrong, is where the worksheet pays off.

One small habit makes a real difference: have your student keep their corrected pages in a folder rather than recycling them. A finished worksheet is a record of what they can now do, and flipping back through a growing stack is quietly motivating in a way that praise alone is not. It also gives you a ready-made review pile. Every few weeks, pull an older page and have them rework a few problems — if the skill held, that is worth celebrating, and if it slipped, you have found it with months still to spare.

A note about DeSSA at Grade 6

Delaware students take DeSSA — the Delaware System of Student Assessments — for Mathematics in the spring. It is built on the Delaware Mathematics Standards, the same framework these worksheets are aligned to, so what your student practices here connects directly to what the test measures.

At Grade 6, DeSSA looks for reasoning as much as computation. A student may need to set up a ratio from a word problem, work with negative numbers on the coordinate plane, write and solve a one-step equation, find area, volume, or surface area, or describe the center and spread of a data set. Because each PDF here isolates one standard, the spring window works as a checklist — you can see which few skills still need attention and spend your time only there.

A short closing

Sixth-grade math asks a student to think in new ways, but it lets them get there one skill at a time. Bookmark this page, print a single PDF tonight, and let your sixth grader start somewhere small. Delaware kids do thoughtful, steady work when the next step is clear — and a worksheet on the table is about as clear as a next step gets.

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