New Jersey NJSLA Grade 6 Math Free Worksheets: Free Printable Worksheets Covering Every Skill

There is a moment in sixth grade when a parent looks over a homework page and realizes they cannot help the old way. The numbers are not the problem — it is the form of the work. A child is drawing a double number line to compare ratios. A child is writing 6x + 4 and treating the letter as if it stands for something. A child is plotting a point at (-3, 5) on a grid that now runs four directions. The work has changed shape, and that is by design: sixth grade is where arithmetic begins turning into the reasoning that algebra is built on.

That turn happens everywhere in the state — in Newark and Jersey City, in Paterson and Trenton, in every district where sixth graders are meeting ratios and rates and percents, dividing fractions, working with negative numbers and the coordinate plane, writing and solving expressions and equations and inequalities, measuring area and volume and surface area, and starting to read real data. It is a full year, and it goes far better when a student can take it one skill at a time.

These 72 worksheets are built to make that possible. Each one isolates a single skill and gives it room to be learned properly.

What’s on this page

Seventy-two single-skill PDFs, each aligned to the New Jersey Mathematics Standards at Grade 6. Every file does exactly one job. A student practicing percent of a number is not also being asked about volume; a student working through fraction division is not being pulled into the coordinate plane. That focus is deliberate — it is what makes a short practice session genuinely useful instead of scattered.

Each PDF opens with a one-page Quick Review that explains the skill in plain language and walks through one example from start to finish. Then 20 practice problems build from straightforward to demanding, followed by 4 word problems that set the skill into a context a student can recognize. The final page is a student-facing answer key — short, friendly explanations a sixth grader can read on their own and learn from, not just a column of 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

Skip the elaborate plan. The thing that works is a small, repeatable habit — one worksheet, about fifteen minutes, twice a week. That is short enough that a sixth grader will sit down without protest, and consistent enough that it adds up.

The single best move when choosing the next page is to pair related skills. The worksheets come in natural sequences, and working a sequence in order makes the second worksheet feel like a logical next step rather than a new subject. Pair “Understanding Percent” with “Percent of a Number.” Pair “Dividing Fractions by Fractions” with “Dividing Mixed Numbers.” Do “Writing Algebraic Expressions” before “Solving One-Step Equations.” Each pairing knits two lessons into a single connected idea.

New Jersey packs a lot of homework into a small state — a kitchen table in a Jersey City apartment, a quiet corner of a house in a Trenton neighborhood, the half hour before dinner somewhere off the Parkway. Print the page the night before, keep the answer key aside until the work is done, then let your student check their own reasoning. Reading that explanation and catching their own mistake is not the leftover part of the practice — it is the part where understanding actually forms.

A note about NJSLA at Grade 6

New Jersey students take the NJSLA — the New Jersey Student Learning Assessment — in mathematics in the spring. It is built on the New Jersey Mathematics Standards, so the skills practiced on these worksheets and the skills measured on the test come from the same set of expectations.

The Grade 6 NJSLA asks for more than correct arithmetic. It asks students to reason through ratio and rate problems, work fluently with fractions and decimals, handle negative numbers and the coordinate plane, write and solve expressions and equations, find area and volume, and interpret data sets — and to explain their thinking on some problems, not just produce an answer. Because each PDF here targets a single standard, the collection doubles as a checklist, letting you see clearly which skills are steady and which still need a few more passes before spring.

A short closing

Sixth-grade math changes shape, but a student keeps up with it the same way anyone learns anything — one skill, one afternoon at a time. Bookmark this page, print a single PDF tonight, and let your student begin with something small and clear. New Jersey kids do sharp, steady work when the next step is right in front of them, and a worksheet on the table puts it exactly there.

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