Colorado Academic Standards (mathematics) — Colorado
CMAS Grades 6-8 Ratios & Proportional Relationships. Practice it free.
Focuses on ratios, rates, proportional reasoning, and solving proportional relationship problems. This Grades 6-8 reporting domain maps to 11 practice skills and 8 representative questions from the playable bank.
What the test measuresStandards basis How the CMAS reports it Blueprint & weighting Official sources
Ratios & Proportional Relationships skills
Understand ratio concepts and use ratio reasoning to solve problems
Analyze proportional relationships
Use rate reasoning to solve real-world and mathematical problems
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
Practice by skill
Topics mapped to this domain
Custom unit conversions
Fluid concentration ratios
Fraction-decimal-percent conversion
Percent of a quantity
Percent problems
Percent proportion word problems
Ratio, rate, and proportion word problems
Ratios, rates, and proportions
Simple interest
Table problems with percents and ratios (ACT)
Two-step unit conversions
Try it nowPractice playeasy Practice playmedium Practice playeasy Practice playeasy Practice playeasy Practice playmedium Practice playmedium Practice playeasy
8 free questions · 0/0 correct
At a riding stable, a pony is measured at hands tall. How many inches tall is the pony? ( hand inches)
Use a conversion factor with inches in the numerator so hands cancel: .
An herbicide spray uses concentrate and water in a ratio of to . How many cups of concentrate should be added to quarts of water to make the spray in this ratio? ( cups quart, quarts gallon.)
Two quarts of water is cups. With a to ratio, , so and cups of concentrate.
Write as a decimal.
.
A kitchen prepares jars of jam. Workers label of the jars before the first break. How many jars are labeled before the first break?
Convert to a decimal and multiply: jars.
What is of ?
Convert: . Then .
After a discount, a board game costs . What was the original price, in dollars, before the discount?
The sale price is of the original: , so dollars.
A recipe uses cups of flour to make muffins. At this rate, how many cups of flour are needed to make muffins?
Set up a proportion: , so and cups.
and are in the ratio to . Given that , what is ?
. With , , so and .
Keep practicing
Turn ratios & proportional relationships into game time.
The CMAS placement starts with this test's real coverage map and finds the right difficulty.
Related Common Core standards
The same skills on other tests
Source and test overview
Reporting categories
More Grades 6-8 domains
The Number SystemExtends number sense to rational numbers, including operations with fractions, decimals, integers, and negative numbers.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 →