Texas STAAR Grade 6 Math Free Worksheets: 72 Printable TEKS-Aligned PDFs with Answer Keys
Sixth grade is the year math starts asking students to think in relationships. A fifth grader learns that 12 divided by 4 is 3. A sixth grader learns that 12 miles in 4 hours is a rate of 3 miles per hour — and that the same idea explains a unit price, a recipe scaled up, a map drawn to scale. The arithmetic underneath is familiar; what is new is the layer of meaning sitting on top of it. That layer is what sixth grade is really teaching.
It shows up everywhere in the year’s work: ratios, rates, and percents; dividing a fraction by a fraction; negative numbers and a coordinate plane that now stretches into all four quadrants; algebraic expressions, one-step equations, and inequalities; the area, volume, and surface area of real solids and their nets; and the first true statistics — mean, median, spread, dot plots, box plots, and a beginning sense of probability. A Texas student who works through these patiently is laying the track for the algebra ahead.
These worksheets were built for that stretch of the year. Whether you are in Houston, San Antonio, Dallas, Austin, or El Paso, they give a student 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 Texas Essential Knowledge and Skills (TEKS) for Mathematics at Grade 6. Every file targets one skill and nothing else — so a student working on unit rates is not also wrestling with surface area, and a student on the coordinate plane is not distracted by box plots.
Each PDF opens with a one-page Quick Review that explains the skill in plain language, with a fully worked example. Twenty practice problems follow, building from straightforward to genuinely challenging, plus four word problems that put the skill in a real context. The final page is a student-facing answer key — not just answers, but short, friendly explanations a student can read alone and actually 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
You do not need a plan as long as the school year. A steady weekly rhythm beats a weekend cram every time. Pick two afternoons — maybe one mid-week after school and one on a slow Sunday — and treat each PDF as a single sitting. Most take fifteen to twenty minutes, short enough that a tired sixth grader will actually do it.
A pairing that works well: do a skill, then do the skill that builds on it. Run “What Is a Ratio?” one day and “Finding the Unit Rate” the next, and the second worksheet feels like a natural step instead of a new mountain. The same goes for “Dividing Fractions by Fractions” before “Dividing Mixed Numbers,” or “Writing Algebraic Expressions” before “Solving One-Step Equations.”
Texas is a big state, and homework happens everywhere — at a kitchen table in Houston, on a porch in the Valley, in the quiet hour before a Friday game in a small town outside Lubbock. Print what you need the night before, keep the answer key for after the work is done, and let the student check their own thinking. That last step — reading the explanations — is where most of the learning actually happens.
A note about STAAR at Grade 6
Texas students take the STAAR Mathematics assessment in the spring. It is built on the Texas Essential Knowledge and Skills (TEKS) for Mathematics, so the skills on these worksheets and the skills on the test come from the same source.
The Grade 6 STAAR asks students to do more than compute. It asks them to interpret a ratio or rate, reason about a negative quantity, set up an equation from a word problem, and decide which of several approaches actually fits the question. It mixes multiple-choice with griddable answers and other question types, and it leans into the proportional-reasoning and expressions-and-equations work that defines sixth-grade math.
Because every PDF here targets one TEKS skill, you can use the spring window as a checklist. If your student is shaky on dividing fractions or on plotting points across the quadrants, you can see it clearly and work just those PDFs, rather than re-reviewing things they already have down.
A short closing
Sixth-grade math is a climb, but it is a steady one — a student gets there one skill, one afternoon at a time. Bookmark this page, print a single PDF tonight, and let your student start somewhere small. Texas kids do hard things well when the next step is clear, and a worksheet on the table is about as clear as it gets.
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