AASA Grade 7 Ratios and Proportional Relationships Practice

What the test measures

Ratios and Proportional Relationships skills

Compute unit rates
Recognize and represent proportional relationships between quantities
Use proportional relationships to solve multistep ratio and percent problems
Solve problems involving scale drawings, percent, and constant of proportionality

Standards basis

Arizona 2016 Mathematics Standards — Arizona

How the AASA reports it

AASA is Arizona’s statewide achievement test for Grades 3-8, and its math item specifications are aligned to Arizona’s 2016 Mathematics Standards rather than a national framework like SBAC or SAT. The public AASA page does not show a fixed common-core-style domain blueprint; instead, the official math coverage is embedded in grade-level item specifications and scoring guides.

Blueprint & weighting

AASA uses the Independent / state-specific framework (by grade domains structure).

Official sources

Arizona Department of Education AASA
Arizona Department of Education Mathematics Standards

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Similar triangles $MNO$ and $PQR$ have areas $4$ and $36\textsf{.}$ Side $MN$ corresponds to side $PQ\textsf{,}$ and $MN = 5\textsf{.}$ What is the length of $PQ\textsf{?}$

The area ratio is $\dfrac{36}{4} = 9 = k^{2}\textsf{,}$ so $k = 3\textsf{.}$ Then $PQ = 5 \cdot 3 = 15\textsf{.}$

Practice playeasy

$50$ is what percent of $100$ ?

$\frac{50}{100} = 0.5 = 50\%$ .

Practice playeasy

A restaurant bill is $\text{\char36}72$ . What is a $15\%$ tip, in dollars?

Tip $= 0.15 \times 72 = 10.80$ dollars.

Practice playeasy

A passenger train traveled $348$ miles in $4$ hours at a constant speed. What was the train's speed, in miles per hour?

Speed = distance $\div$ time: $\dfrac{348}{4} = 87$ miles per hour.

Practice playeasy

Given $a:b = 5:2$ and $a = 75$ , find $b$ .

$\dfrac{a}{b} = \dfrac{5}{2}$ . With $a = 75$ , $\dfrac{75}{b} = \dfrac{5}{2}$ , so $5b = 150$ and $b = 30$ .

Practice playeasy

Find the simple interest on $\text{\char36}400$ at $25\%$ per year for $1$ year.

$I = 400 \times 0.25 \times 1 = \$100$ .

Practice playmedium

The table shows two juice mixtures. For Mixture A, what decimal part of the total liquid is concentrate?
$\begin{array}{l|c|c} \text{Mixture} & \text{Concentrate (L)} & \text{Water (L)} \\ \hline \text{A} & 2 & 8 \\ \text{B} & 3 & 9 \end{array}$

Mixture A has $2+8=10$ liters total. Concentrate is $\dfrac{2}{10}=0.2$ of the mixture.

Practice playeasy

A sports drink is made with syrup and water in a ratio of $5$ to $20$ . How many cups of syrup should be added to $1$ gallon of water to make the drink in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)