California CAASPP Grade 6 Math Free Worksheets: 72 Skill-by-Skill Worksheets You Can Print Today

Every math year has a job, and sixth grade’s job is connection. Before this, a student mostly learned operations as separate tools. Now those tools start linking up: a ratio becomes a rate, a rate becomes a percent, a fraction becomes something you can divide, and the number line opens downward into the negatives. Sixth grade is the year math stops being a list of procedures and starts being a system.

You can feel that in the topics. Ratios, rates, and percents share one underlying logic. Dividing fractions leans on everything a student already knows about multiplying them. Negative numbers and the coordinate plane extend ideas a student first met years ago. Expressions and one-step equations turn arithmetic into algebra. And the year closes with real statistics — mean, median, spread, dot plots, box plots — plus a first taste of probability. Connected as it is, it’s still a lot to take in at once.

These 72 worksheets give a student one connection at a time. Whether your sixth grader is in Los Angeles, San Diego, Fresno, or Sacramento, each PDF takes a single skill and makes it clear before moving on.

What’s on this page

Seventy-two single-skill PDFs, each aligned to the California Mathematics Standards at Grade 6. Each file is tightly focused — one skill, fully practiced. A student working on the coordinate plane is not also being tested on surface area, and a student on percent problems is not being sidetracked into statistics.

Every PDF starts with a one-page Quick Review: the skill in plain language, plus one example carried all the way through. Then 20 practice problems that climb from easy to challenging, then 4 word problems that put the skill into a real situation. The final page is a student-facing answer key — not just answers, but short, friendly explanations a sixth grader can read solo and genuinely learn 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

Consistency does the heavy lifting. Pick two afternoons a week, keep them, and let each worksheet be one short sitting — most run fifteen to twenty minutes. That length matters: a sixth grader will commit to a focused page in a way they won’t commit to a vague stretch of “math time.”

Use the connections built into the topics. Pair “What Is a Ratio?” with “Finding the Unit Rate,” and the unit rate reads as a ratio simplified down. Pair “Dividing Fractions by Fractions” with “Dividing Mixed Numbers,” and the second page is the first one with a single extra step. Practicing skills as families is what turns a stack of worksheets into a path.

California homework happens in every kind of home — a busy apartment in Los Angeles, a quiet house in the Central Valley near Fresno, a kitchen table in Sacramento between activities. The method stays the same everywhere: print the page in advance, keep the answer key for after the work is done, and let your student check their own reasoning. That review step is where the worksheet earns its keep.

There is also value in revisiting. A skill that looked solid in October can quietly fade by February if it is never touched again. Every few weeks, pull an old worksheet your student has already done and have them work three or four problems from memory. If it still goes smoothly, you both get the confidence of knowing it stuck. If it has slipped, you have caught it early, with months to spare. Sixth-grade skills are cumulative — the year’s later topics lean on its earlier ones — so a little maintenance keeps the whole structure standing.

A note about CAASPP at Grade 6

California students take the CAASPP Smarter Balanced Mathematics assessment in the spring. CAASPP is built on the California Mathematics Standards, the same framework these worksheets are aligned to, so the skills your student practices here come from the same source as the skills the test measures.

At Grade 6, CAASPP asks for reasoning, not just answers. Its computer-adaptive items and performance tasks expect students to interpret a ratio in context, work with negative numbers and the coordinate plane, write and solve a one-step equation, reason about area, volume, and surface area, and describe the center and spread of data. Because each PDF here isolates one standard, the spring window can serve as a checklist — you’ll see which few skills are still shaky and can focus there instead of reviewing everything.

A short closing

Sixth-grade math is a system a student builds piece by piece — and every piece is within reach on its own. Bookmark this page, print a single PDF tonight, and let your sixth grader start small. California kids do thoughtful, capable work when the next step is clear, and a worksheet on the table makes it clear.

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