PARCC Grades 6-8 Ratios and Proportional Relationships. Practice it free.

Students apply reasoning about ratios, rates, and proportional relationships. This Grades 6-8 reporting domain maps to 11 practice skills and 8 representative questions from the playable bank.

Grades 6-811 mapped skills

What the test measures

Ratios and Proportional Relationships skills

Understand ratio concepts and use ratio reasoning to solve problems
Analyze proportional relationships and use them to solve real-world and mathematical problems

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / PARCC Model Content Frameworks — national

How the PARCC reports it

PARCC was a multistate assessment system built around the Common Core-era PARCC mathematics model content frameworks rather than a separate proprietary standards set. Its math structure is organized by grade/course and aligned to CCSS-M content categories and model content frameworks.

Blueprint & weighting

No single published PARCC weighting table was located in the accessible sources used here.

Official sources

PARCC Assessment
Common Core State Standards Initiative

Practice by skill

Topics mapped to this domain

Custom unit conversions

Grade 610 questions

Fluid concentration ratios

Grade 710 questions

Fraction-decimal-percent conversion

Grade 6180 questions

Percent of a quantity

Grade 610 questions

Percent problems

Grade 7213 questions

Percent proportion word problems

Grade 710 questions

Ratio, rate, and proportion word problems

Grade 710 questions

Ratios, rates, and proportions

Grade 7125 questions

Simple interest

Grade 730 questions

Table problems with percents and ratios (ACT)

Grade 710 questions

Two-step unit conversions

Grade 610 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

At a riding stable, a pony is measured at $15$ hands tall. How many inches tall is the pony? ( $1$ hand $= 4$ inches)

Use a conversion factor with inches in the numerator so hands cancel: $15 \text{ hands} \times \dfrac{4 \text{ in}}{1 \text{ hand}} = 60 \text{ in}$ .

Practice playmedium

An herbicide spray uses concentrate and water in a ratio of $6$ to $24$ . How many cups of concentrate should be added to $2$ quarts of water to make the spray in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Two quarts of water is $2 \times 4 = 8$ cups. With a $6$ to $24$ ratio, $\dfrac{6}{24} = \dfrac{x}{8}$ , so $24x = 48$ and $x = 2$ cups of concentrate.

Practice playeasy

Write $\dfrac{7}{20}$ as a decimal.

$\dfrac{7}{20} = 0.35$ .

Practice playeasy

A kitchen prepares $500$ jars of jam. Workers label $8\%$ of the jars before the first break. How many jars are labeled before the first break?

Convert $8\%$ to a decimal and multiply: $0.08 \times 500 = 40$ jars.

Practice playeasy

What is $30\%$ of $90$ ?

Convert: $30\% = 0.3$ . Then $0.3 \times 90 = 27$ .

Practice playmedium

After a $25\%$ discount, a board game costs $\text{\char36}45$ . What was the original price, in dollars, before the discount?

The sale price is $75\%$ of the original: $0.75p = 45$ , so $p = 45 \div 0.75 = 60$ dollars.

Practice playmedium

A recipe uses $3$ cups of flour to make $18$ muffins. At this rate, how many cups of flour are needed to make $30$ muffins?

Set up a proportion: $\dfrac{3}{18} = \dfrac{x}{30}$ , so $18x = 90$ and $x = 5$ cups.

Practice playeasy

$x$ and $y$ are in the ratio $8$ to $3$ . Given that $y = 45$ , what is $x$ ?

$\dfrac{x}{y} = \dfrac{8}{3}$ . With $y = 45$ , $\dfrac{x}{45} = \dfrac{8}{3}$ , so $3x = 360$ and $x = 120$ .

Keep practicing

Turn ratios and proportional relationships into game time.

The PARCC placement starts with this test's real coverage map and finds the right difficulty.

Blaster Gate game cover

Blaster GatePlay →

Blitz Tanks game cover

Blitz TanksPlay →

Blossom Leap game cover

Blossom LeapPlay →

Bullseye Blitz game cover

Bullseye BlitzPlay →

Related Common Core standards

6.RP.A.3 6.RP.A.3.C 7.RP.A.3 7.RP.A.2

Source and test overview

All PARCC prep Official test source

Reporting categories

More Grades 6-8 domains

The Number SystemStudents apply and extend previous understandings of multiplication and division to divide fractions and extend the system of numbers.8 QsPractice →Expressions and EquationsStudents work with expressions, equations, and inequalities.8 QsPractice →GeometryStudents solve real-world and mathematical problems involving angle, area, surface area, and volume and work with congruence and similarity.8 QsPractice →Statistics and ProbabilityStudents develop understanding of statistical variability, summarize and describe distributions, and make inferences.8 QsPractice →