Colorado Academic Standards (mathematics) — Colorado
CMAS Grades 6-8 The Number System. Practice it free.
Extends number sense to rational numbers, including operations with fractions, decimals, integers, and negative numbers. This Grades 6-8 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.
What the test measuresStandards basis How the CMAS reports it Blueprint & weighting Official sources
The Number System skills
Apply and extend previous understandings of multiplication and division to divide fractions by fractions
Compute fluently with multi-digit numbers and find common factors and multiples
Apply and extend previous understandings of numbers to the system of rational numbers
Know that there are numbers that are not rational and approximate them by rational numbers
CMAS is Colorado’s statewide summative assessment system aligned to the Colorado Academic Standards rather than a national framework like SBAC or NAEP. The official CMAS page and Colorado standards materials indicate the math assessment is built from Colorado Academic Standards, but the retrieved official CMAS page did not expose a separate math blueprint document.
No official CMAS math domain weighting/percent-of-items blueprint was available in the retrieved primary CMAS materials.
Colorado Department of Education CMAS page
Colorado Department of Education Colorado Academic Standards and Essential Skills page
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8 free questions · 0/0 correct
Compute .
is its own distance from , so .
What is ?
.
What is ?
Result: .
lies between two consecutive integers. Enter the larger one.
, so is between and ; the larger is .
What is ?
Multiply across: .
What is the distance on the real number line from to ?
Distance from zero is absolute value: .
What is ?
First compute the difference: . Then take the absolute value: .
What is ?
.
Keep practicing
Turn the number system into game time.
The CMAS placement starts with this test's real coverage map and finds the right difficulty.
The same skills on other tests
Source and test overview
Reporting categories
More Grades 6-8 domains
Ratios & Proportional RelationshipsFocuses on ratios, rates, proportional reasoning, and solving proportional relationship problems.8 QsPractice →Expressions & EquationsUses algebraic expressions, equations, and inequalities to represent and solve problems.8 QsPractice →GeometryFocuses on geometric measurement, properties of figures, transformations, and coordinate geometry.8 QsPractice →Statistics & ProbabilityCenters on data analysis, random sampling, distributions, and inferential reasoning from data.8 QsPractice →