ISAT 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
Use proportional relationships to solve multistep ratio and percent problems
Solve unit rate and percent problems including tax, markups, discounts, gratuities, and simple interest

Standards basis

Idaho Content Standards (Mathematics) — Idaho

How the ISAT reports it

Idaho ISAT is a state assessment administered to grades 3–8 and 11 and reported against Idaho grade-level content standards rather than a separate national testing framework. The public ISAT page points to summative blueprints and math specifications, while the Idaho Content Standards page shows the math program is organized by grade-band/domain progressions aligned to Idaho standards.

Blueprint & weighting

The public Idaho ISAT page references summative blueprints and item specifications, but the accessible official page content did not expose a published domain-by-domain percentage blueprint for math.

Official sources

Idaho Department of Education — Idaho Standards Achievement Test (ISAT)
Idaho Department of Education — Idaho Content Standards

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $25\%$ of $70$ ?

Convert: $25\% = 0.25$ . Then $0.25 \times 70 = 17.5$ .

Practice playeasy

A student answered $51$ out of $60$ questions correctly on a quiz. What percent of the questions did the student answer correctly?

$\dfrac{51}{60} = 0.85 = 85\%$ .

Practice playeasy

Find the simple interest on $\text{\char36}100$ at $20\%$ per year for $1$ year.

$I = 100 \times 0.2 \times 1 = \$20$ .

Practice playmedium

A school sold tickets to two events. What is the ratio of gala revenue to fair revenue in simplest form?
$\begin{array}{l|c|c|c} \text{Event} & \text{Tickets available} & \text{Price each} & \text{Percent sold} \\ \hline \text{Gala} & 100 & \text{\char36}40 & 80\% \\ \text{Fair} & 200 & \text{\char36}15 & 60\% \end{array}$

Gala tickets sold: $100 \cdot 0.80 = 80$ , so revenue is $80 \cdot 40 = 3{,}200\textsf{.}$ Fair tickets sold: $200 \cdot 0.60 = 120$ , so revenue is $120 \cdot 15 = 1{,}800\textsf{.}$ The ratio $3{,}200:1{,}800$ simplifies by dividing by $200$ to $16:9\textsf{.}$

Practice playeasy

At an animal shelter, the ratio of cats to dogs is $5$ to $8$ . If there are $35$ cats at the shelter, how many dogs are there?

Scale the ratio: $35$ cats is $7$ groups of $5$ , so dogs = $7 \times 8 = 56$ .

Practice playeasy

A car travels $225$ miles in $5$ hours. What is the speed in miles per hour?

$225 \div 5 = 45$ miles per hour.

Practice playmedium

Iced tea is made with tea concentrate and water in a ratio of $3$ to $12$ . How many cups of tea concentrate should be added to $3$ quarts of water to make the tea in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)