ILEARN Grade 7 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

Analyze proportional relationships and use them to solve real-world and mathematical problems
Compute unit rates associated with ratios of fractions, including lengths, areas, and other quantities measured in like or different units
Recognize and represent proportional relationships between quantities
Decide whether two quantities are in a proportional relationship by testing for equivalent ratios in a table or graph
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions

Standards basis

Indiana Academic Standards for Mathematics — Indiana

How the ILEARN reports it

Indiana iLEARN is a state assessment system aligned to Indiana’s Academic Standards rather than a shared national testing framework. The public iLEARN page says the math assessment is a computer-adaptive test measuring Indiana mathematics standards, and the through-year summative measures the full set of skills expected by year end ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/)).

Blueprint & weighting

The iLEARN public page states that each Checkpoint measures a subset of skills and the summative measures the full set of skills by the end of the school year, but the official page and accessible sources retrieved here do not publish per-domain item percentages or weightings for math ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/), [Indiana DOE Formative (Interim) Assessment Grant Guidance](https://www.in.gov/doe/files/2026-2027-Formative-Interim-Assessment-Grant-Guidance.pdf)).

Official sources

Indiana DOE iLEARN
Indiana DOE Formative (Interim) Assessment Grant Guidance

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playmedium

On a map, $1.5$ inches represents an actual distance of $36$ miles. At this scale, what is the actual distance, in miles, represented by $4$ inches on the map?

Scale: $\dfrac{36}{1.5} = 24$ miles per inch. For $4$ inches: $24 \times 4 = 96$ miles.

Practice playeasy

Solve for $x$ : $\dfrac{4}{32} = \dfrac{6}{x}$ .

Cross-multiply: $4 x = 32 \cdot 6 = 192$ . So $x = 48$ .

Practice playmedium

A pool treatment uses chlorine concentrate and water in a ratio of $9$ to $72$ . How many cups of chlorine concentrate should be added to $5$ gallons of water to make the treatment in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Five gallons of water is $5 \times 16 = 80$ cups. With a $9$ to $72$ ratio, $\dfrac{9}{72} = \dfrac{x}{80}$ , so $72x = 720$ and $x = 10$ cups of concentrate.

Practice playeasy

$4$ is what percent of $40$ ?

$\frac{4}{40} = 0.1 = 10\%$ .

Practice playeasy

In a survey of $400$ people, $35\%$ said they prefer option A. How many people is that?

$0.35 \times 400 = 140$ people.

Practice playeasy

Find the simple interest on $\text{\char36}500$ at $10\%$ per year for $1$ year.

$I = 500 \times 0.10 \times 1 = \$50$ .

Practice playeasy

An online store tracked orders by size. How many orders were completed?
$\begin{array}{l|c|c} \text{Size} & \text{Orders placed} & \text{Percent completed} \\ \hline \text{Small} & 40 & 90\% \\ \text{Medium} & 50 & 80\% \\ \text{Large} & 30 & 70\% \end{array}$

Small: $40 \cdot 0.90 = 36\textsf{.}$ Medium: $50 \cdot 0.80 = 40\textsf{.}$ Large: $30 \cdot 0.70 = 21\textsf{.}$ Total completed: $36+40+21=97$ orders.