COLORADOTHE CENTENNIAL STATEColorado CMAS Grade 8 Math Prep Online Center
Everything Colorado 8th graders need to master the CMAS math test — practice tests, lessons, worksheets, and step-by-step answer explanations.
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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Jump into Colorado Grade 8 Math
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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Join students who study with a clearer path
This state grade math hub is part of the Effortless Math library for Colorado CMAS Grade 8 Math Center. We connect lessons, worksheets, practice tests, books, and tools so students can study with a clearer next step.
Effortless Math is an independent educational publisher. Test names, state exams, standards names, and trademarks are used only to identify the relevant study topic; their owners do not sponsor, endorse, or approve this page.
Colorado CMAS Grade 8 Math Snapshot
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.
CMAS standard codes
Number Sense
Exponents and Scientific Notation
Equations and Inequalities
- 8.EEGraphing Proportional RelationshipsQuiz
- 8.EESlope as Rate of ChangeQuiz
- 8.EESlope and the Equations of a LineQuiz
- 8.EESolving Linear Equations in One VariableQuiz
- 8.EESolving Systems of Two EquationsQuiz
- 8.EESolving Real Problems with SystemsQuiz
- 8.EESolving Linear InequalitiesQuiz
- 8.EEMultiplying Linear Expressions and FactoringQuiz
- 8.EEGraphing Linear Inequalities in Two VariablesQuiz
- 8.EEParallel and Perpendicular LinesQuiz
- 8.EEPoint Slope and Standard FormQuiz
- 8.EELiteral EquationsQuiz
- 8.EEAbsolute Value Equations and InequalitiesQuiz
- 8.EEEquations with Special SolutionsQuiz
Functions
Geometry
- 8.GRotations Reflections and TranslationsQuiz
- 8.GCongruent FiguresQuiz
- 8.GTransformations on the Coordinate PlaneQuiz
- 8.GSimilarity and DilationsQuiz
- 8.GAngles in Triangles and Parallel LinesQuiz
- 8.GThe Pythagorean TheoremQuiz
- 8.GFinding Distance with the Pythagorean TheoremQuiz
- 8.GVolume of CylindersQuiz
- 8.GAngle RelationshipsQuiz
- 8.GSurface Area of Prisms Cylinders and PyramidsQuiz
- 8.GVolume of PyramidsQuiz
- 8.GComposite Figures Area and PerimeterQuiz
- 8.GInterior Angles of PolygonsQuiz
- 8.GTriangle Inequality TheoremQuiz
- 8.GSurface Area of SpheresQuiz
- 8.GArc Length and Area of SectorsQuiz
- 8.GCross Sections of 3D FiguresQuiz
- 8.GParallel Lines and TransversalsQuiz
- 8.G(merged topic)Quiz
- 8.GVolume of Cones and SpheresQuiz
Statistics and Probability
- 8.SPScatter Plots and Patterns in DataQuiz
- 8.SPFitting a Line to DataQuiz
- 8.SPUsing a Linear ModelQuiz
- 8.SPTwo Way Tables for Categorical DataQuiz
- 8.SPMean Absolute DeviationQuiz
- 8.SPProbability of Simple EventsQuiz
- 8.SPCounting Principle and PermutationsQuiz
- 8.SPBox Plots and Interquartile RangeQuiz
- 8.SPRandom SamplingQuiz
- 8.SPEffect of Data Changes on StatisticsQuiz
- 8.SP(merged topic)Quiz
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 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. These free practice tests mirror its format with 40 questions and full solutions.
Can I use a calculator?
Unit 1 has a non-calculator section then a calculator section; Units 2-3 allow a five-function calculator (square-root/percent).
How long is each practice test?
Each test has a 100-minute timer and auto-submits at 0:00, then shows your score, a topic breakdown, and step-by-step solutions.
Is it free?
Yes — all six tests, lessons, and worksheets are free with no login. 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.
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- District of Columbia
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.