Idaho ISAT Grade 6 Math Free Worksheets: 72 Free PDF Worksheets, One Skill at a Time

Most years of elementary math add a few new tools to a familiar kit. Sixth grade does something different — it changes what the kit is for. Until now, the goal was usually to land on the right answer. In sixth grade, the goal becomes understanding the relationship that produced it: why one ratio is equivalent to another, what dividing by a fraction actually does, how a negative number behaves on a number line. The arithmetic is still there, but it is in service of something larger now, and that reframing is the real work of the year.

There is plenty of it. Ratios, rates, and percents. Fluency with multi-digit and decimal operations. Negative numbers and a coordinate plane that now fills all four quadrants. Algebraic expressions, and the first one-step equations and inequalities. Area, volume, surface area, and the nets that fold into solids. And a genuine introduction to statistics — mean, median, spread, dot plots, box plots — with a first look at probability. Whether a student is working at a table in Boise, Meridian, Nampa, or Idaho Falls, that is the year laid out in front of them.

These worksheets were built to take it on the way it is best learned: one clear skill at a time.

What’s on this page

Seventy-two single-skill PDFs, each aligned to the Idaho Mathematics Standards at Grade 6. Every file is built around exactly one skill — so a student practicing unit rate is not also fighting surface area, and a student on one-step equations is not getting pulled into dot plots.

Each PDF opens with a one-page Quick Review that explains the skill in plain language, with one example carried all the way through. Then twenty practice problems build from approachable to genuinely demanding, and four word problems set the skill in a real-world context. The final page is a student-facing answer key — not just a column of answers, but short, friendly explanations a sixth grader 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

A practical rhythm beats an ambitious one. Pick two afternoons a week, treat each PDF as a single sitting, and let it be done when it is done — most run fifteen to twenty minutes, which is a fair match for how long a sixth grader can give real attention after a school day.

The thing that makes the biggest difference is pairing. Each file works on its own, but skills come in connected groups, and working a group together makes every sheet in it easier. Run “What Is a Ratio?” then “Finding the Unit Rate.” Run “Dividing Fractions by Fractions” then “Dividing Mixed Numbers.” Run “Writing Algebraic Expressions” before “Solving One-Step Equations.” The second sheet stops feeling like a new problem and starts feeling like the next line of the same one.

Idaho evenings fill up — chores, practice, the long light of a summer-bound spring, the drive back from town. You do not have to invent a new slot in the day; you just have to lower the friction. Print the PDF the night before so it is ready. Hold the answer key until the work is finished. Then let your child check their own page and read the explanation for anything they missed. That last quiet step is where most of the learning actually happens.

A note about ISAT at Grade 6

Idaho sixth graders take the ISAT — the Idaho Standards Achievement Test — in mathematics in the spring. It is built on the Idaho Mathematics Standards, which are aligned to the Common Core, so the skills on these worksheets trace back to the same standards the test is drawn from.

At Grade 6, the ISAT asks students to do more than compute. It is a computer-based assessment that expects them to reason about ratios and rates, set up and solve a one-step equation from a word problem, interpret a statistical display, and pick an approach that genuinely fits the question — including items that ask for more than one step of thinking. Because every PDF here targets a single standard, the spring window turns into a checklist. If your child is shaky on dividing fractions or on the negative quadrants of the coordinate plane, you will see it clearly, and you can work just those files instead of reviewing everything again.

A short closing

Sixth-grade math is a climb, but it is a steady one — a student gets up it one skill, one afternoon at a time. Bookmark this page, print a single PDF tonight, and let your child start somewhere small and winnable. Idaho kids do hard things well 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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