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Colorado Grade 8 Math
Colorado Grade 8 Math: explore grade-level lessons, worksheets, and learning references. Check the curriculum source and choose practice for your next skill.
Focused lessons · Useful practice · Clear next steps
Standards source: Standards and Instructional Support, Colorado Department of Education.
Start With a CMAS Practice Test
Six full, timed Colorado CMAS Grade 8 math practice tests, 40 questions each, instant scoring, a topic-by-topic breakdown, and full step-by-step solutions. Each one opens right here in a popup. Calculator: Five-function calculator (on part).
CMAS Practice Test 1
A full diagnostic across every Colorado Grade 8 math topic.
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CMAS Practice Test 2
Fresh questions and problem types to build accuracy.
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CMAS Practice Test 3
New problems to add speed and confidence on every skill.
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CMAS Practice Test 4
Another complete, timed exam to build pacing and stamina.
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CMAS Practice Test 5
A brand-new mixed set to test your readiness.
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CMAS Practice Test 6
A final full-length simulation to confirm you are ready.
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Colorado Grade 8 Math Study Tools
A few minutes of quick review, flip through flashcards or scan every key formula. Both open right here.
Colorado Grade 8 Math Skill Quizzes
Short, focused quizzes, pick one skill, answer 10 questions, get instant scoring and full solutions, then jump to the matching lesson. Each opens right here.
The Number System & Real Numbers
A quick 10-question check on The Number System & Real Numbers with instant scoring and step-by-step solutions.
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Exponents & Scientific Notation
A quick 10-question check on Exponents & Scientific Notation with instant scoring and step-by-step solutions.
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Equations & Inequalities
A quick 10-question check on Equations & Inequalities with instant scoring and step-by-step solutions.
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Functions
A quick 10-question check on Functions with instant scoring and step-by-step solutions.
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Geometry & Transformations
A quick 10-question check on Geometry & Transformations with instant scoring and step-by-step solutions.
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Statistics & Probability
A quick 10-question check on Statistics & Probability with instant scoring and step-by-step solutions.
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Financial Literacy
A quick 10-question check on Financial Literacy with instant scoring and step-by-step solutions.
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Mixed Grade 8 Review
A quick 10-question check on Mixed Grade 8 Review with instant scoring and step-by-step solutions.
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Colorado CMAS Grade 8 Math Snapshot
Colorado Grade 8: connect practice to a classroom target
Use Colorado curriculum source to check the expectation your class is studying. The topic directory provides general lessons; it is not a complete state alignment. These selected learning references give you more precise ideas to compare with an assignment. Common Core-style codes are Common Core references, and other codes come from the existing planning reference. Confirm current state wording and placement before treating either as an official local requirement.
- 8.NS.A.1
- Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
- 8.EE.A.1
- Know and apply the properties of integer exponents to generate equivalent numerical expressions.
- 8.F.A.1
- Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
- 8.SP.A.1
- Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
- 8.G.A.1
- Verify experimentally the properties of rotations, reflections, and translations
Choose practice from the explanation
Ask the student to explain one of the ideas above with a drawing, model, table, or short calculation. If the explanation is unclear, open the related lesson before assigning a mixed test. If the idea is understood but the calculation is unreliable, choose a focused worksheet and review the strategy afterward.
Keep the classroom target, the resource used, and the next step together in a study note. A topic quiz can guide review; its score is not an official state performance level. Revisit the skill in a new context after a few days.
Common Core excerpts: © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Public license and attribution.
Colorado Grade 8 Math Topics
Student-friendly Grade 8 math skills connected to the Colorado standards, each tagged with its CMAS standard code and a focused lesson.
Number Sense
- 8.1Rational and Irrational NumbersWorksheetsQuiz
- 8.1Turning Repeating Decimals into FractionsWorksheetsQuiz
- 8.1Estimating Irrational NumbersWorksheetsQuiz
- 8.1Estimating Expressions with Irrational NumbersWorksheetsQuiz
- 8.1Personal Financial LiteracyWorksheetsQuiz
- 8.1Prime Factorization with ExponentsWorksheetsQuiz
- 8.1Density of Real NumbersWorksheetsQuiz
Exponents and Scientific Notation
Equations and Inequalities
- 8.EEGraphing Proportional RelationshipsWorksheetsQuiz
- 8.EESlope as Rate of ChangeWorksheetsQuiz
- 8.EESlope and the Equations of a LineWorksheetsQuiz
- 8.EESolving Linear Equations in One VariableWorksheetsQuiz
- 8.EESolving Systems of Two EquationsWorksheetsQuiz
- 8.EESolving Real Problems with SystemsWorksheetsQuiz
- 8.EESolving Linear InequalitiesWorksheetsQuiz
- 8.EEMultiplying Linear Expressions and FactoringWorksheetsQuiz
- 8.EEGraphing Linear Inequalities in Two VariablesWorksheetsQuiz
- 8.EEParallel and Perpendicular LinesWorksheetsQuiz
- 8.EEPoint Slope and Standard FormWorksheetsQuiz
- 8.EELiteral EquationsWorksheetsQuiz
- 8.EEAbsolute Value Equations and InequalitiesWorksheetsQuiz
- 8.EEEquations with Special SolutionsWorksheetsQuiz
Functions
- 8.FWhat is a FunctionWorksheetsQuiz
- 8.FReading Function ValuesWorksheetsQuiz
- 8.FComparing Two FunctionsWorksheetsQuiz
- 8.FLinear vs Nonlinear FunctionsWorksheetsQuiz
- 8.FBuilding Linear FunctionsWorksheetsQuiz
- 8.FSketching and Describing Function GraphsWorksheetsQuiz
- 8.FDomain and Range of a FunctionWorksheetsQuiz
- 8.FArithmetic SequencesWorksheetsQuiz
- 8.FGeometric SequencesWorksheetsQuiz
Geometry
- 8.GRotations Reflections and TranslationsWorksheetsQuiz
- 8.GCongruent FiguresWorksheetsQuiz
- 8.GTransformations on the Coordinate PlaneWorksheetsQuiz
- 8.GSimilarity and DilationsWorksheetsQuiz
- 8.GAngles in Triangles and Parallel LinesWorksheetsQuiz
- 8.GThe Pythagorean TheoremWorksheetsQuiz
- 8.GFinding Distance with the Pythagorean TheoremWorksheetsQuiz
- 8.GVolume of CylindersWorksheetsQuiz
- 8.GAngle RelationshipsWorksheetsQuiz
- 8.GSurface Area of Prisms Cylinders and PyramidsWorksheetsQuiz
- 8.GVolume of PyramidsWorksheetsQuiz
- 8.GComposite Figures Area and PerimeterWorksheetsQuiz
- 8.GInterior Angles of PolygonsWorksheetsQuiz
- 8.GTriangle Inequality TheoremWorksheetsQuiz
- 8.GSurface Area of SpheresWorksheetsQuiz
- 8.GArc Length and Area of SectorsWorksheetsQuiz
- 8.GCross Sections of 3D FiguresWorksheetsQuiz
- 8.GParallel Lines and TransversalsWorksheetsQuiz
- 8.G(merged topic)WorksheetsQuiz
- 8.GVolume of Cones and SpheresWorksheetsQuiz
Statistics and Probability
- 8.SPScatter Plots and Patterns in DataWorksheetsQuiz
- 8.SPFitting a Line to DataWorksheetsQuiz
- 8.SPUsing a Linear ModelWorksheetsQuiz
- 8.SPTwo Way Tables for Categorical DataWorksheetsQuiz
- 8.SPMean Absolute DeviationWorksheetsQuiz
- 8.SPProbability of Simple EventsWorksheetsQuiz
- 8.SPCounting Principle and PermutationsWorksheetsQuiz
- 8.SPBox Plots and Interquartile RangeWorksheetsQuiz
- 8.SPRandom SamplingWorksheetsQuiz
- 8.SPEffect of Data Changes on StatisticsWorksheetsQuiz
- 8.SP(merged topic)WorksheetsQuiz
Best Colorado CMAS Grade 8 Math Books
Each book has a job: start from scratch, drill weak skills, or build pacing with full tests. All of them pair with the free tools on this page.
Colorado CMAS Grade 8 Math Made Ridiculously Simple
A step-by-step CMAS Grade 8 math book that rebuilds every tested skill clearly and in order, built to match the Colorado standards.
- Best starting point for the CMAS math test
- Pairs with Colorado flashcards and worksheets
- Use it before full timed practice tests
- Organized for students who need examples before drills
Step-by-step lessons
Short explanations show the move before the student practices it.
✍Worked examples
Examples translate CMAS-style wording into clear math steps.
Targeted practice
Rebuild one skill at a time instead of jumping around.
Test-day bridge
After each topic, connect to formulas, flashcards, and practice questions.
How to use it
- Read one lesson and copy the worked example.
- Do a short worksheet set on the same topic.
- Review the matching flashcards or formulas.
- Try a mixed quiz and mark every miss.
Pair it with free tools
Choose the right Colorado Grade 8 math book
Colorado CMAS Grade 8 Math Made Ridiculously Simple
Start here to rebuild CMAS math from the ground up.
Colorado CMAS Grade 8 Math Preparation Bundle
The full prep library, study guide, workbook, and practice tests together.
7 Colorado CMAS Grade 8 Math Practice Tests
Use after topic review to build pacing and test stamina.
Colorado CMAS Grade 8 Math & ELA Mega Bundle
9 books and 44 full-length practice tests in one TPT bundle.
Colorado Grade 8 Math Standards
The official Colorado Grade 8 math standards, grouped by domain with the exact code and description for each expectation.
8.1
- 8.1Number and Quantity
8.NS · The Number System
- 8.NS.A.1Demonstrate informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. Define irrational numbers as numbers that are not rational
- 8.NS.A.2Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²)
8.2
- 8.2Algebra and Functions
8.EE · Expressions & Equations
- 8.EE.A.1Know and apply the properties of integer exponents to generate equivalent numerical expressions
- 8.EE.A.2Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares (up to 100) and cube roots of small perfect cubes (up to 64). Know that √2 is irrational
- 8.EE.A.3Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other
- 8.EE.A.4Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology
- 8.EE.B.5Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways
- 8.EE.B.6Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b
- 8.EE.C.7Solve linear equations in one variable
- 8.EE.C.8Analyze and solve pairs of simultaneous linear equations
8.F · Functions
- 8.F.A.1Define a function as a rule that assigns to each input exactly one output. Show that the graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (Function notation is not required for Grade 8.)
- 8.F.A.2Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions)
- 8.F.A.3Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear
- 8.F.B.4Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values
- 8.F.B.5Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally
8.3
- 8.3Data, Statistics, and Probability
8.SP · Statistics & Probability
- 8.SP.A.1Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association
- 8.SP.A.2Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line
- 8.SP.A.3Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept
- 8.SP.A.4Explain that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables
8.4
- 8.4Geometry
8.G · Geometry
- 8.G.A.1Verify experimentally the properties of rotations, reflections, and translations:
- 8.G.A.2Demonstrate that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them
- 8.G.A.3Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates
- 8.G.A.4Demonstrate that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them
- 8.G.A.5Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles
- 8.G.B.6Explain a proof of the Pythagorean Theorem and its converse
- 8.G.B.7Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions
- 8.G.B.8Apply the Pythagorean Theorem to find the distance between two points in a coordinate system
- 8.G.C.9State the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems
Standards: Colorado Academic Standards. Official source ↗
Colorado CMAS Grade 8 Math FAQ
What is the CMAS Grade 8 math test?
The CMAS (Colorado Measures of Academic Success) is Colorado's Grade 8 mathematics assessment. The linked activities are independent Grade 8 practice. Their question count, timer, scoring, and item types may differ from the official assessment. Use the directions inside each activity.
Can I use a calculator?
Calculator rules depend on the grade, assessment, test segment, and approved accommodations. Follow the current assessment guidance and ask your school which rules apply. A tool available in independent practice does not establish permission on the official test.
How long is each practice test?
Read the timer and question count shown in the practice activity you open. These are practice settings, not a statement of the official assessment’s duration or scoring.
Is it free?
The linked general practice and topic resources are available separately from optional books. Check each activity’s directions and access requirements. The study guide and bundle are optional next steps.
Grade 8 Math in Other States
Explore Grade 8 math standards, practice tests, and worksheets for every state.
Make This Your Colorado CMAS Starting Point
Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the CMAS study guide.
Start a practice testA USEFUL NEXT STEP
Colorado Grade 8 Math: study questions
How should I choose a Grade 8 math study target?
Choose a current classroom target, find the matching learning reference, and use a lesson or available practice resource to check understanding. State documents control local wording and placement; shared reference codes are not a certified crosswalk.
Are these activities official state assessments?
These are independently published learning resources. A practice score does not predict or replace an official state score. Use the directions in each activity and consult your school for official testing and accommodation rules.
Resources from Effortless Math · Editorial standards