NJSLA Grade 7 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units
7.RP.A.2 Recognize and represent proportional relationships between quantities
7.RP.A.2a Decide whether two quantities are in a proportional relationship
7.RP.A.2b Identify the constant of proportionality
7.RP.A.2c Graph proportional relationships and interpret the unit rate as the slope of the graph
7.RP.A.2d Explain what a point (x, y) on the graph of a proportional relationship means
7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Official sources

New Jersey Department of Education - Assessment
New Jersey Department of Education - 2023 NJSLS-Mathematics
NJDOE - Statewide Assessment Testing Schedule 2026-27

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A cyclist rode $63$ kilometers in $1.5$ hours at a constant speed. What was the cyclist's speed, in kilometers per hour?

Speed = $\dfrac{63}{1.5} = 42$ kilometers per hour.

Practice playeasy

Solve for $y$ : $\dfrac{6}{4} = \dfrac{y}{24}$ .

Cross-multiply: $4y = 144$ , so $y = 36$ .

Practice playeasy

A fabric dye bath uses dye concentrate and water in a ratio of $4$ to $32$ . How many cups of dye concentrate should be added to $2$ gallons of water to make the bath in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Two gallons of water is $32$ cups. With a $4$ to $32$ ratio, $\dfrac{4}{32} = \dfrac{x}{32}$ , so $x = 4$ cups of dye concentrate.

Practice playeasy

What is a $15\%$ tip on a $\text{\char36}200$ bill?

Tip: $\frac{15}{100} \times \text{\char36}200 = \text{\char36}30$ .

Practice playmedium

$27$ is $45\%$ of a number. What is the number?

Let $n$ be the number. Then $0.45n = 27$ , so $n = 27 \div 0.45 = 60$ .

Practice playeasy

Find the simple interest on $\text{\char36}200$ at $5\%$ per year for $2$ years.

$I = 200 \times 0.05 \times 2 = \$20$ .

Practice playeasy

The table shows quiz grades for a class of students. What percent of the students earned an A?
$\begin{array}{l|c} \text{Grade} & \text{Number of students} \\ \hline \text{A} & 12 \\ \text{B} & 18 \\ \text{C} & 10 \\ \text{D} & 10 \end{array}$