Forward Grade 7 Ratios & Proportional Relationships Practice

What the test measures

Ratios & Proportional Relationships skills

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units
Recognize and represent proportional relationships between quantities
Use proportional relationships to solve multistep ratio and percent problems
Solve problems involving discounts, taxes, tips, and interest
Use scale drawings and maps to solve problems

Standards basis

Wisconsin Standards for Mathematics — Wisconsin

How the Forward reports it

Wisconsin’s Forward Exam is a state assessment designed to measure students against the recently updated Wisconsin Academic Standards, rather than a separate national framework. The official Forward Exam page confirms the math assessment is administered in grades 3-8 and is aligned to the Wisconsin Academic Standards, but it does not publish a math-specific blueprint on the page itself.

Blueprint & weighting

Not published in the official Forward Exam page content available here. The page confirms alignment to Wisconsin Academic Standards and administration in grades 3-8, but no math blueprint percentages or reporting-category weights are provided on the page content retrieved.

Official sources

Wisconsin DPI Forward Exam
Wisconsin DPI Mathematics in Wisconsin

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

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

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

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

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

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.)