Grades 6 through 8
Math worksheets for grades 6–8
Find practice for ratios, signed numbers, equations, geometry, and data. Choose a skill for today’s work or revisit an earlier topic. Focus on one mathematical decision while the numbers change.
Before you print: choose a skill, review its suggested setup, and check the worksheet preview and answer key.
How to use these worksheets
Give each new idea enough space
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Choose one decision to practice
A useful page might focus on setting up a proportion, combining like terms, or deciding which measure describes a data set. Keep the mathematical decision consistent while the numbers change.
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Ask for a reason
Have students explain one answer in a sentence, diagram, or equation. This is especially helpful with negative signs, percent situations, and geometry formulas.
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Use the answer key as a checkpoint
Mark the first place the work goes off track instead of only marking the final answer. Then try a fresh problem using the corrected step.
Choose a starting point
Grades 6-8 math topics
102 level-focused worksheet skills lead this collection, with 31 prerequisite and review skills listed separately. Choose a topic to see its suggested setup in the builder.
Work with fractions and decimals
12 skills- Decimal Addition with DiagramsAdd tenths using aligned, shaded place-value strips.
- Decimal Subtraction with DiagramsSubtract tenths by crossing out parts of a place-value strip.
- Decimal Multiplication with Equivalent FractionsConnect tenths multiplication to fractions over ten and one hundred.
- Decimal Multiplication with Area DiagramsMultiply tenths using a hundred-square overlap model.
- Division: Partial QuotientsBreak a quotient into friendly chunks and combine the partial quotients.
- Whole Numbers with Decimal QuotientsDivide whole numbers when the exact result includes tenths.
- Dividing Decimals by Whole NumbersDivide a decimal dividend by a whole-number divisor.
- Dividing Whole Numbers by DecimalsDivide a whole-number dividend by a decimal divisor.
- Dividing Decimals by DecimalsDivide a decimal dividend by a decimal divisor with an exact quotient.
- Dividing FractionsDivide proper fractions and simplify each exact quotient.
- How Many Groups?Interpret fraction division by finding how many equal-size groups fit.
- Mixed-Number ArithmeticAdd, subtract, multiply, and divide mixed numbers with simplified answers.
Explore integers and factors
14 skills- Integer Add/SubtractAdd and subtract positive and negative integers.
- Prime FactorizationWrite composite numbers as products of prime factors.
- Greatest Common FactorFind the largest factor shared by two whole numbers.
- Least Common MultipleFind the smallest positive multiple shared by two whole numbers.
- GCF & LCM Word ProblemsApply greatest common factors and least common multiples in context.
- Signed Numbers on a Number LineIdentify positive and negative integers plotted on a number line.
- Signed Number-Line Word ProblemsModel contextual integer changes on a signed number line.
- Opposites of NumbersIdentify integers mirrored across zero.
- Comparing Signed NumbersCompare positive and negative integers.
- Ordering Signed NumbersOrder positive and negative integers from least to greatest.
- Absolute ValuesInterpret absolute value as distance from zero.
- Comparing Absolute ValuesCompare distances from zero using absolute-value notation.
- Ordering Absolute ValuesOrder signed numbers by their distance from zero.
- Multiply and Divide IntegersMultiply and divide positive and negative integers using the sign rules.
Use ratios, rates, and percents
13 skills- Introduction to RatiosWrite ratios from labeled groups using ratio notation.
- Part-Part-Whole RatiosConnect part-to-part ratios with part-to-whole ratios.
- Comparing RatiosCompare ratio values, including equivalent ratios.
- Unit Rates & Equivalent RatesFind a per-one rate and use it to create equivalent rates.
- Comparing RatesCompare rates expressed with different unit quantities.
- Introduction to PercentsRead shaded hundred grids as parts per hundred.
- Percents, Fractions & DecimalsConvert among percent, reduced-fraction, and decimal forms.
- Percents with Equivalent FractionsUse equivalent fractions to connect a ratio with a percent.
- Percent Problems with DiagramsUse segmented bars to find a missing part, whole, or percent.
- Percent Problems with FormulasUse percent formulas to find a missing part, whole, or percent.
- Ratios & ProportionsSolve equivalent-ratio and proportion problems.
- Percent of a NumberFind a percent of a whole number.
- Unit RatesFind a per-one rate from a total amount.
Solve equations and use functions
21 skills- Numeric Expressions with ExponentsEvaluate numeric expressions containing whole-number exponents.
- Writing Algebraic ExpressionsTranslate verbal phrases into one-variable algebraic expressions.
- Algebraic Distributive Area ModelsUse partitioned rectangles to expand algebraic expressions.
- Algebraic ExpressionsEvaluate, combine, distribute, and factor algebraic expressions.
- Equation Tape DiagramsSolve equations represented by part-whole tape diagrams.
- Equation Hanger DiagramsSolve balanced hanger diagrams backed by linear equations.
- Equation Word ProblemsBuild and solve one-variable equations from practical contexts.
- One-Step EquationsSolve one-step equations with integer solutions.
- Two-Step EquationsSolve equations of the form ax + b = c.
- Equivalent Ratio EquationsWrite and solve equations representing equivalent ratios.
- Writing & Graphing InequalitiesWrite inequalities from words and graph their solution sets.
- Inequality Word ProblemsRepresent contextual minimums and maximums with inequalities.
- Inequality Hanger DiagramsInterpret tilted hanger diagrams as inequalities.
- Solving & Graphing One-Step InequalitiesSolve one-step inequalities and graph the results.
- Linear InequalitiesSolve one-step and two-step inequalities, including sign reversals.
- Function TablesComplete input-output tables, find missing inputs, and identify linear rules.
- Constant Rate EquationsConnect proportional tables and contexts to y = kx.
- Equations for Other RelationshipsConnect nonproportional tables and contexts to y = mx + b.
- Slope From Two PointsFind slope from two coordinate points.
- Evaluate Linear FunctionsEvaluate linear functions at given inputs.
- Linear SystemsSolve two-variable linear systems with integer solutions.
Measure shapes and triangles
27 skills- Coordinate Planes & Ordered PairsPlot and identify ordered pairs, quadrants, axes, and distances.
- Distances on the Coordinate PlaneFind exact diagonal distances between plotted points.
- Shapes & Perimeter on the Coordinate PlaneFind rectangle perimeter from plotted vertices.
- Coordinate Plane Word ProblemsSolve exact coordinate-distance problems in context.
- Surface Area & VolumeFind surface area and volume of prisms, cubes, and cylinders.
- Transformations & SimilarityTranslate and reflect points and scale similar figures.
- Pythagorean TheoremFind a missing side in right triangles.
- Understanding Parallelogram AreaRearrange parallelograms to explain A = bh.
- Area of ParallelogramsFind parallelogram area from a base and perpendicular height.
- Understanding Triangle AreaPair congruent triangles to explain A = bh/2.
- Area of TrianglesFind triangle area from a base and perpendicular height.
- Area of TrapezoidsFind trapezoid area using both parallel bases and the height.
- Area of KitesFind kite area from perpendicular diagonal lengths.
- Polygons on a Coordinate GridFind areas of polygons plotted at integer coordinates.
- Polygons & Shaded RegionsFind composite area by subtracting an inner polygon.
- Rectangles with Fraction Side LengthsFind rectangle area with exact fractional dimensions.
- Triangles with Fraction Side LengthsFind triangle area with an exact fractional base and height.
- Prisms with Fraction Side LengthsFind rectangular-prism volume with exact fractional dimensions.
- Classifying & Naming PolyhedraName common polyhedra and count their faces, edges, and vertices.
- Nets of PolyhedraIdentify the solid formed by a valid two-dimensional net.
- Nets & Surface AreaConnect labeled prism faces to total surface area.
- Nets & Surface Area on a GridCalculate cube surface area from a square-grid net.
- Identifying Invalid NetsDecide whether a six-square arrangement folds into a cube.
- Volume & Surface Area from Isometric DrawingsFind prism measurements from dimensioned isometric drawings.
- Cube Volume & Surface Area FormulasApply and distinguish V = s^3 and SA = 6s^2.
- Isometric SketchingSketch rectangular prisms on printable isometric dot grids.
- Circle MeasurementsUse radius and diameter to find exact circumference and area in terms of pi.
Understand data and chance
12 skills- Interpreting Dot PlotsRead frequencies, medians, and ranges from stacked dot plots.
- Drawing Dot PlotsConstruct dot plots from raw data on labeled number lines.
- Interpreting HistogramsRead frequencies, totals, and intervals from equal-width histogram bins.
- Drawing HistogramsConstruct histograms from frequency tables on labeled axes.
- Center & SpreadCompare distributions using median and interquartile range.
- Interpreting Box PlotsRead medians, quartiles, ranges, and IQRs from box plots.
- Drawing Box PlotsConstruct box plots from exact five-number summaries.
- Two-Way Frequency TablesCalculate joint, marginal, and conditional relative frequencies.
- ScatterplotsDescribe direction, form, strength, and unusual features in scatterplots.
- Regression LinesUse and interpret least-squares regression equations.
- Compound EventsRepresent unions, intersections, and complements of events.
- Sampling Methods and BiasRecognize representative samples and common sources of bias.
Use exponents and complex numbers
3 skillsPrerequisite and review skillsUseful practice whose primary level is another grade range.31 skills
Build number sense
4 skills- EstimationEstimate sums, differences, and products by rounding each operand first.
- RoundingRound numbers to the nearest ones, tens, hundreds, or higher place values.
- Expanded Form / Standard FormRewrite numbers in expanded form or standard form with a dedicated conversion layout.
- Math PropertiesIdentify and apply commutative, associative, distributive, identity, and zero properties.
Work with fractions and decimals
17 skills- Decimal AdditionAdd decimal numbers with aligned place values and configurable precision.
- Decimal SubtractionSubtract decimal numbers with aligned place values and configurable precision.
- Decimal MultiplicationMultiply decimal factors and place the decimal point in each exact product.
- Decimal DivisionDivide decimal values using problems constructed to have exact quotients.
- Decimal ComparisonCompare decimal values using less than, greater than, or equal to symbols.
- Decimal OrderingArrange groups of decimal values from least to greatest.
- Compare FractionsCompare pairs of fractions with less than, greater than, or equal to.
- Equivalent FractionsFill in missing values to build equivalent fractions from a matching fraction pair.
- Simplifying FractionsReduce proper fractions to simplest form with a dedicated rewrite layout.
- Adding FractionsAdd fractions with common denominators and simplify the result.
- Subtracting FractionsSubtract fractions with common denominators and simplify the result.
- Multiplying FractionsMultiply proper fractions and simplify each exact product.
- What Fraction of a Whole?Interpret a quotient as a fraction of one complete unit.
- How Much in Each Group?Interpret fraction division as sharing an amount equally.
- Mixed Numbers / Improper FractionsConvert between mixed numbers and improper fractions with a dedicated rewrite layout.
- Visual FractionsIdentify fractions from shaded visual models and write the matching fraction.
- Fractions on a Number LineIdentify fractions marked on partitioned number lines from zero to one.
Measure, tell time, and use money
2 skillsExplore integers and factors
2 skillsSolve equations and use functions
2 skillsMeasure shapes and triangles
1 skillUnderstand data and chance
3 skillsQuestions
Using these Grades 6-8 worksheets
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Are these Grades 6-8 worksheets free to use?
Yes. You may print worksheets for home, classroom, school, and tutoring use.
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Do the worksheets include answer keys?
Yes. Every generated worksheet can be printed or downloaded with its matching answer key.
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