Alaska AK STAR Grade 6 Math Free Worksheets: Standards-Aligned Practice PDFs, No Signup Required

Think of sixth-grade math as a base camp. Earlier grades were the gear-gathering years — number facts, the four operations, fractions you could add. Sixth grade is where a student loads the pack and starts the real route, the one that climbs through ratios, negative numbers, algebra, and statistics on the way to everything that comes after. The view is bigger up here, and so is the work.

What makes the year demanding is how many trails open at once. Ratios and rates and percents all turn out to be the same idea seen from three angles. Fractions go from something you combine to something you divide. The number line grows a negative half and the coordinate plane gains four quadrants. Letters appear inside expressions and one-step equations. And the year ends in real statistics — mean, median, spread, dot plots, box plots — plus a first look at probability.

These 72 worksheets break the climb into single, manageable steps. Whether your student is in Anchorage, Fairbanks, Juneau, or Wasilla, each PDF hands them one skill, one clear example, and enough practice to make the footing solid before the next step.

What’s on this page

Seventy-two single-skill PDFs, each aligned to the Alaska Mathematics Standards at Grade 6. Every file is deliberately narrow. A student working on the coordinate plane is not also being tested on volume, and a student practicing percents is not getting tangled up in surface area. One skill at a time, with room to actually master it.

Each PDF starts with a one-page Quick Review — the skill explained in plain words, with one example worked all the way through. Then 20 practice problems that rise from straightforward to challenging, then 4 word problems that drop the skill into a real context. The final page is a student-facing answer key written so a sixth grader can check their own work and understand any miss without a grown-up sitting beside them.

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

A weekly routine beats intensity. Pick two days and keep them — maybe a weekday after dinner and a slower weekend morning — and treat each worksheet as one short sitting. Fifteen to twenty minutes is the sweet spot; long enough to learn something, short enough that your student doesn’t dread it.

Pair skills that belong together. “Understanding Integers” before “Graphing Points on the Coordinate Plane” means the negative numbers already feel familiar when the four quadrants arrive. “Writing Algebraic Expressions” before “Solving One-Step Equations” gives a student the vocabulary before they have to use it. Working a family of skills in order turns each new page into a small next step instead of a fresh surprise.

In a state where the drive to anything is long and winters are dark early, the kitchen table does a lot of the schooling. Print the page the night before, keep the answer key until the work is done, and then let your student grade themselves. Reading the explanation after a wrong answer is the moment the skill actually clicks.

It also helps to keep a simple record. A short list taped inside a cabinet — skill name, date, and a quick mark for “got it” or “come back” — turns 72 separate files into something a student can see progress against. Sixth graders are motivated by visible progress in a way that abstract encouragement rarely matches, and crossing a skill off a list is a small, real reward. When the “come back” marks thin out over a few weeks, both of you can see the work paying off.

A note about AK STAR at Grade 6

Alaska students take AK STAR — the Alaska System of Academic Readiness — for Mathematics in the spring. It is built on the Alaska Mathematics Standards, the same framework these worksheets follow, so there is no gap between what your student practices here and what the test expects.

At Grade 6, AK STAR asks for reasoning as much as computation. A student might need to build a ratio from a situation, locate and interpret points on the coordinate plane, solve a one-step equation, find the area or volume of a figure, or describe the center and spread of a data set. Because each PDF here isolates a single standard, you can use the spring window as a checklist — find the few skills that are still shaky and spend your time there, instead of re-reviewing what your student already owns.

Want everything in one bundle?

If you would rather have a complete, organized program than a folder of loose files, the bundle puts everything in one place.

Alaska AK STAR Grade 6 Math Preparation Bundle — four practice-test books, full-length practice tests, and complete answer keys with step-by-step explanations.

A short closing

The route through sixth-grade math is long, but it goes one step at a time, and every step is reachable. Bookmark this page, print a single PDF tonight, and let your student start small. Alaska kids know how to keep going when the path is clear — and a worksheet on the table makes the next step clear.