ISAT Grade 7 Ratios and Proportional Relationships Practice

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

8 free questions · 0/0 correct

Practice playeasy

A $\text{\char36}200$ sweater is on sale for $15\%$ off. What is the sale price?

Discount: $\dfrac{15}{100} \times \text{\char36}200 = \text{\char36}30\textsf{.}$ Sale price: $\text{\char36}200 - \text{\char36}30 = \text{\char36}170\textsf{.}$

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

Sales tax is $8\%\textsf{.}$ What is the tax on a $\text{\char36}200$ phone?

Tax: $\dfrac{8}{100} \times \text{\char36}200 = \text{\char36}16\textsf{.}$

Practice playeasy

A cab fare is $\text{\char36}40\textsf{.}$ With a $15\%$ tip added, what is the total?

Tip: $\dfrac{15}{100} \times \text{\char36}40 = \text{\char36}6\textsf{.}$ Total: $\text{\char36}40 + \text{\char36}6 = \text{\char36}46\textsf{.}$

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 = $7 \times 8 = 56$ .

ISAT Grade 7 Ratios and Proportional Relationships. Practice it free.

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

Topics mapped to this domain

Percent discounts

Percent problems

Percent proportion word problems

Percent sales tax

Percent tips

Simple interest

Table problems with percents and ratios (ACT)

Ratio, rate, and proportion word problems

Ratios, rates, and proportions

Fluid concentration ratios

8 free questions · 0/0 correct

Turn ratios and proportional relationships into game time.

More Grade 7 domains